Using the loan rates we know that the maximum loan amount Tyresa needs to pay for 4 years which is 48 months is $330.81 for the new car.
What are loan rates?The amount a lender charges a borrower is called an interest rate, and it is expressed as a percentage of the principal or the loaned amount.
Typically, a loan's interest rate is expressed as an annual percentage rate, or APR (APR).
The annual cost of a loan to a borrower is referred to as the interest rate and is indicated as a percentage.
APR represents the total yearly cost of a loan to the borrower, including all fees.
The APR is stated as a percentage, just like an interest rate.
Thus, we discover that using the present value formula:
Pv = C[(1-(1+i)n/i)]
Now, calculate for the new car as follows:
Pv = 350[(1-(1+2.79%/12)2.79%/12)]
Pv = $15879.04
Loan amount each month: 15879.04/48 months = $330.81
Similarly, calculate for the old car as follows:
Pv = 350[(1-(1+3.29%/12)3.29%/12)]
Pv = $15721.34
Loan amount each month: 15721.34/48 months = $327.52
Therefore, using the loan rates we know that the maximum loan amount Tyresa needs to pay for 4 years which is 48 months is $330.81 for the new car.
Know more about loan rates here:
https://brainly.com/question/25793394
#SPJ1
Supreme Auto Parts produces components for motorcycle engines. It has plants in Amarillo, Texas, and Charlotte, North Carolina, and supply factories in Detroit and Atlanta. Production and cost data for a major component are as follows. Freight Costs Plant Detroit Atlanta Capacity Unit CostAmarillo $15 $9 $1,500 $110Charlotte $7 $5 $3,300 $120Demand 2,100 1,000 Formulate a transportation model to determine the best distribution plan. If the constant is equal to one, enter "1".Let: X11 = number of components produced in Amarillo and supplied to DetroitX12 = number of components produced in Amarillo and supplied to AtlantaX21 = number of components produced in Charlotte and supplied to DetroitX22 = number of components produced in Charlotte and supplied to Atlanta Min X11 + X12 + X21 + X22 Subject to the constraints X11 + X12 -Select-≤≥=Item 7 X21 + X22 -Select-≤≥=Item 11 + X21 -Select-≤≥=Item 15 X12 + X22 -Select-≤≥=Item 19 X11, X12, X21, X22 ≥ 0
According to the given information the Minimize equation is
Z = 110X11 + 120X12 + 120X21 + 130X22.
What is Statistics ?
Statistics is a branch of mathematics that deals with collecting, analyzing, interpreting, presenting, and organizing data. It provides methods and techniques to make sense of complex data sets, to draw conclusions and make decisions based on the data. Statistics can be applied to a wide range of fields, including business, economics, social sciences, medicine, and many others. Some key topics in statistics include probability theory, hypothesis testing, regression analysis, and data visualization.
Minimize:
Z = 110X11 + 120X12 + 120X21 + 130X22
Subject to:
X11 + X12 ≤ 1500 (capacity constraint for Amarillo)
X21 + X22 ≤ 3300 (capacity constraint for Charlotte)
X11 + X21 ≥ 2100 (demand constraint for Detroit)
X12 + X22 ≥ 1000 (demand constraint for Atlanta)
where:
X11 = number of components produced in Amarillo and supplied to Detroit
X12 = number of components produced in Amarillo and supplied to Atlanta
X21 = number of components produced in Charlotte and supplied to Detroit
X22 = number of components produced in Charlotte and supplied to Atlanta
Therefore, according to the given information the Minimize equation is
Z = 110X11 + 120X12 + 120X21 + 130X22
To know more about statistics visit :
https://brainly.com/question/15525560
#SPJ1
a triangular field has boundaries of lengths 170m,195m and 210m,find the size of the largest interior angle of the field
The size of the largest interior angle of the field is 69.86°
What is cosine law?The law of cosines relates the lengths of the sides of a triangle to the cosine of one of its angles.
Given that, a triangular field has boundaries of lengths 170m, 195m and 210m, we need to find the size of the largest interior angle of the field,
We know that, angle opposite to the largest side is largest,
Therefore,
The largest angle is opposite is 210 m side, (say c)
Using the cosine rule,
210² = 170²+195²-2(170)(195)cosC
CosC = 170²+195²-210² / 2(170)(195)
CosC = 22825 / 66300
CosC = 0.344268477
C = 69.86°
Hence, the size of the largest interior angle of the field is 69.86°
Learn more about cosine rule, click;
https://brainly.com/question/26952873
#SPJ9
A number cube is rolled three times. An outcome is represented by a string of the sort oee (meaning an odd number on the first roll, an even number on the second roll, and even number on the third roll). The 8 outcomes are listed in the table below. Note that each outcome has the same probability.
Answer:16/10
Step-by-step explanation:
add 4/5+4/5=16/10
so the answer is 16/10
Sin (29) = 12/x step by step pls
The value of x is given as follows:
x = 24.75.
How to obtain the value of x?The value of x is obtained solving the proportion in the context of the problem.
The proportion is defined as follows:
sin(29º) = 12/x.
Applying cross multiplication, we can isolate the variable x as follows:
xsin(29º) = 12
x = 12/sin(29º).
Then a calculator is used to divide 12 by the sine of 29 degrees, and then the result is given as follows:
x = 24.75.
More can be learned about proportions at https://brainly.com/question/24372153
#SPJ1
Bob has a total of 60 adventure cards for a game. The table shows the number of cards, c, distributed to p players. Which equation describes the pattern in the table?
p 2 3 4 5
c 30 20 15 12
c = 60 ÷ p
c = 60 – p
c = 60p
c = 60 + p
For a game, Bob has a total of 60 adventure cards. The distribution of cards, c, to players, p, is shown in the table. c = 60 ÷ p
Describe probability. Describe using an example.Probability defines the possibility of occurrence of an event. Probability is the unit of measurement for an event's likelihood. It represents the proportion of positive results to all results. For instance: Receiving the numbers 3 and 5 while rolling the dice, as well as getting both an even and an odd number.
The equation would read: c = 60 / 2, which implies c = 30 if p=2. The equation would read 12 = 60 / p, p = 5, 20 = 60 / 3, etc. If c = 12, the equation would read... 12 = 60 / p, and p = 5, and so on, 20 = 60 / 3, and 15 = 60 / 4.
To know more about Table visit:
brainly.com/question/20648466
#SPJ1
A right triangle has a base, b
, that is 6
inches. The area of the triangle, with h
representing the height, is given by the expression
Answer:
Below
Step-by-step explanation:
See the image below :
Area of the ENTIRE rectangle would be: Area = Base * Height
I think you can see that the triangle is 1/2 of the rectangle. so the
Area of the right triangle would be: Area = 1/2 * base * height
Solve this polynomial P(m)= -m+5m²-8m+4m⁵-8m⁰
Answer:
Step-by-step explanation:
To solve the polynomial P(m) = -m + 5m² - 8m + 4m⁵ - 8m⁰, we can simplify the expression by combining like terms:
P(m) = 4m⁵ + 5m² - 9m - 8
Therefore, the simplified form of the polynomial is P(m) = 4m⁵ + 5m² - 9m - 8.
Answer:p=\frac{4m^5+5m^2-9m-8}{m};\quad \:m\ne \:0
Step-by-step explanation:
Write the equation of the circle given center: (1,-3) and diameter:20
I put it as (x-1)^2+(y+3)^2=400
Answer:
(x - 1)^2 + (y + 3)^2 = 400.
Step-by-step explanation:
Your equation is correct.
The center of the circle is (1, -3), which is the midpoint of the diameter. The diameter is 20, so the radius is 10. The equation of a circle with center (h, k) and radius r is given by:
(x - h)^2 + (y - k)^2 = r^2
Substituting the values, we get:
(x - 1)^2 + (y + 3)^2 = 10^2
Simplifying the right side, we get:
(x - 1)^2 + (y + 3)^2 = 100
Therefore, the equation of the circle is (x - 1)^2 + (y + 3)^2 = 400.
if you have to go to school 3 days from tuesday what day will you go back to school
Answer:
Three days from Tuesday is Friday.
PLSSSS HELP ASAP!!! 50 POINTS BIG BALLER
Find the value of x.
2xdegree symbol
20degree symbol
A.10
B.45
C.35
D.80
Plss help and also if you put a random answer or a answer just for the points just remember that report button looks really nice today !
find the value of a in the number 6a subtract 4 a+ 5a=210
The value of "a" will be 30 for the given Algebraic expression.
What is algebraic Expression?Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.
Given, a algebraic expression 6a -4a +5a = 210
Simplifying the equation in terms of a
6a -4a +5a = 210
adding or subtracting the terms with the same variables
7a = 210
divide by 7 on both sides
a = 30
Therefore, the value of "a" will be 30 for the given Algebraic expression.
Learn more about algebraic Expression here:
https://brainly.com/question/953809
#SPJ9
Suppose that, in 2006, Germany produced 13.239 million bikes. The total world production that year totaled 84 million bikes. What percent of the world's total production of bikes is contributed by Germany? Round your answer to the nearest tenth of a percent.
Answer:
15.8%
Step-by-step explanation:
You want the percentage of world bike production represented by 13.239 million bikes out of a world production of 84 million bikes.
PercentageA fraction is converted to a percentage by multiplying it by 100%.
13.239/84 × 100% ≈ 15.8%
Germany contributed about 15.8% of the world's bike production in 2006.
simple workingo ut :)
Answer: b = 82°
To solve for angle b, calculate using the given angles and the straight angle theorem.
Straight Angle TheoremThe straight angle theorem is a rule that says all straight lines are 180°.
Since the angle formed by XY is a straight line, it is also equal to 180°.
XY is divided into three separate angles, a, b and c.
If we add a, b, and c, it will equal to 180°.
Write an equationXY = a + b + c XY is the sum of a, b, and c.
180° = 46° + b + 52° Substitute what we know.
To solve for b using this equation, isolate.
180° - 46° = 46° + b + 52° - 46° Subtract 46° on both sides.
134° = b + 52°
134° - 52° = b + 52° - 52° Subtract 52 on both sides.
82° = b Keep the variable on the left.
b = 82° Final answer.
Therefore, angle b is 82°.
Learn more about the straight angle theorem:
https://brainly.com/question/24024505
Pls help solve this math
The constant of proportionality (k) for the graph is 11.7.
The proportional equation for the graph is y = 11.7x.
What is a proportional relationship?In Mathematics, a proportional relationship can be defined as a type of relationship that generates equivalent ratios and it can be modeled or represented by the following mathematical expression:
y = kx
Where:
x and y represents the variables or data points.k represents the constant of proportionality.Next, we would determine the constant of proportionality (k) for money earned per hour as follows:
Constant of proportionality, k = y/x
Constant of proportionality, k = 35.1/3 = 81.9/7
Constant of proportionality, k = 11.7.
Therefore, the required equation is given by:
y = kx
y = 11.7x
Read more on proportional relationship here: brainly.com/question/28350476
#SPJ1
Select ALL of the solutions of the following system of linear inequalities below.
The solutions of the given system of linear inequalities are (0, 3) and (6, 2)
What is a system of linear inequalities?A system of inequalities is a set of two or more inequalities in one or more variables. Systems of inequalities are used when a problem requires a range of solutions, and there is more than one constraint on those solutions.
Given is a graph of a system of linear inequalities, we need to select the solutions of the following,
The solution of the system of linear inequalities, are given by the combined shaded reason of the graph,
Here, only points (0, 3) and (6, 2) are lies in the common combined part of the graph,
Hence, the solutions of the given system of linear inequalities are (0, 3) and (6, 2)
Learn more about system of linear inequalities, click;
https://brainly.com/question/19526736
#SPJ1
Round to the closest whole number. 32% of the animals were males. If the herd had 112 animals how many were female?
Using arithmetic operations it is obtained that there were approximately 76 female animals in the herd.
What is arithmetic operation?
A subject of mathematics known as arithmetic operations deals with the study and use of numbers in all other branches of mathematics. Basic operations including addition, subtraction, multiplication, and division are included.
If 32% of the animals were males, then 100% - 32% = 68% of the animals were female.
To find the number of female animals in the herd of 112 animals, multiply the total number of animals by the percentage that were female -
68% = 68/100 = 0.68
Number of female animals = 0.68 x 112
Number of female animals = 76.16
Rounding this to the closest whole number gives -
Number of female animals ≈ 76
Therefore, the number of female animals is 76.
To learn more about arithmetic operation from the given link
https://brainly.com/question/20628271
#SPJ1
I need help with this question.
For the trapezoid ABCD following statements are true -
Statement 2: The length of AB can be found using 3²+4²=c².
Statement 3: The perimeter of the trapezoid shown is 22 units.
What is a trapezoid?
A polygon with only one set of parallel sides is called a trapezoid. The parallel bases of a trapezoid are another name for these parallel sides. Trapezoids have two additional sides that are not parallel and are referred to as their legs.
Statement 2 is true because AB is a horizontal side and its length can be found using the Pythagorean theorem -
(Hypotenuse)² = (Base)² + (Perpendicular)²
AB = √((4 - 1)² + (7 - 3)²)
AB = √((3)² + (4)²)
AB = √(9 + 16)
AB = 5
Statement 3 is true because the perimeter of a trapezoid is the sum of the lengths of its four sides, so the perimeter of this trapezoid is
Perimeter = AB + BC + CD + DA
Perimeter = 5 + 5 + 4 + 8
Perimeter = 22
Therefore, second and third statement is true.
To learn more about trapezoid from the given link
https://brainly.com/question/1410008
#SPJ1
(2x³-x + 1) / (x² + x + 1)
Answer:
Hopefully this is the answer you are looking for.
triangle RA, and is an isosceles with RA equal MA. find X in the side of of RA show work
The value of x is 2 or 10 and the value of length RA is 96
What is an isosceles triangle?An isosceles triangle is a triangle with (at least) two equal sides. In the figure above, the two equal sides have length and the remaining side has length. . This property is equivalent to two angles of the triangle being equal. An isosceles triangle therefore has both two equal sides and two equal angles.
If RA = MA
x²-4x = 8x -20
x²-4x-8x +20 = 0
x²-12x +20 = 0
x²-10x -2x +20 = 0
(x²-10x)(-2x+20) = 0
x( x -10) -2(x-10) = 0
(x-2)(x-10) = 0
x-2 = 0
or x-10 = 0
x = 2 or 10
therefore RA = x²-4
when x = 2
RA = 0
when x = 10
RA = 100-4
= 96
therefore the value of length of RA is 96
learn more about Isosceles triangle from
https://brainly.com/question/1475130
#SPJ1
There are 10 roller coasters at 6 flags. If you only have time to ride 3 before the park closes. How many different ways can you create a path to 3 different roller coasters?.
There are 120 different ways to create a path to 3 different roller coasters at Six Flags.
There are a total of 10 choose 3 ways (120) to choose 3 roller coasters out of the 10 available at Six Flags. To calculate this, we can use the combination formula.
The combination formula is:
nCr = n!/(r!(n-r)!).In this case, n is 10 and r is 3, so the total number of possible combinations is
10!/3!7! = 120.To calculate the number of combinations without using a formula, we can use the following method: Start with the first roller coaster, then add a second roller coaster, then a third. There are 10 choices for the first roller coaster, then 9 for the second, and 8 for the third. This results in:
10x9x8 = 720 possible combinationswhich is 6 times more than the 120 calculated by the combination formula. This is because the combinations ABC and CBA are the same, and so are other combinations that are just permutations of each other.
Therefore, there are 120 different ways to create a path to 3 different roller coasters at Six Flags.
Learn more about combinations:
https://brainly.com/question/28065038
#SPJ4
Find the number of positive integers that satisfy both the following conditions:
Each digit is a 1 or a 2
The sum of the digits is 3
Answer:
12
Step-by-step explanation:
1+2=3 and 12 satisfied all the conditions
Winston, a dog, loves to play fetch. He catches each ball mid-air independently with probability 0.4. What is the probability that in four tosses, Winston makes exactly three mid-air catches? Round your answer to three decimal places.
The probability that Winston makes exactly three mid-air catches in four tosses is 0.154, rounded to three decimal places.
What is probability?Probability is a number that indicates the likelihood of an event occurring. Probability is defined as the ratio of favorable outcomes to all outcomes.
This is a binomial distribution problem, where each toss is a Bernoulli trial with a probability of success of 0.4 (i.e., catching the ball mid-air) and a probability of failure of 0.6 (i.e., not catching the ball mid-air).
The number of successes (mid-air catches) in four tosses follows a binomial distribution with parameters n = 4 and p = 0.4.
The probability of getting exactly three mid-air catches in four tosses is:
P(X = 3) = (4 choose 3) * 0.4^3 * 0.6^1 = 4 * 0.064 * 0.6 = 0.154
where (4 choose 3) is the number of ways to choose 3 out of 4 tosses, and 0.4^3 and 0.6^1 are the probabilities of getting 3 mid-air catches and 1 miss, respectively, in any order.
Therefore, the probability that Winston makes exactly three mid-air catches in four tosses is 0.154, rounded to three decimal places.
To know more about probability follow
https://brainly.com/question/2532753
#SPJ2
4. Compute the unadjusted cost of goods sold for the year. Do not include any underapplied or overapplied overhead in your answer.
5. Assume that the $70,000 ending balance in Work in Process includes $24,000 of direct materials. Given this assumption, supply the information missing below:
The unadjusted cost of goods sold for the year is calculated by subtracting the ending inventory from the sum of beginning inventory and purchases. The formula is as follows:
Unadjusted Cost of Goods Sold = Beginning Inventory + Purchases - Ending Inventory
Without knowing the values for beginning inventory, purchases, and ending inventory, we cannot compute the unadjusted cost of goods sold for the year.
5. Given that the $70,000 ending balance in Work in Process includes $24,000 of direct materials, we can calculate the missing information as follows:
Direct Labor = Total Work in Process - Direct Materials - Overhead
Direct Labor = $70,000 - $24,000 - Overhead
Without knowing the value for overhead, we cannot compute the direct labor cost. However, we can rearrange the formula to solve for overhead:
Overhead = Total Work in Process - Direct Materials - Direct Labor
Overhead = $70,000 - $24,000 - Direct Labor
Without knowing the value for direct labor, we cannot compute the overhead cost.
https://brainly.com/question/30198250
#SPJ1
In the equation y=6x+1/4,which one is a “rate of change” and which is the initial value
Answer:
Step-by-step explanation:
6 is the rate of change and 1/4 is the initial value
Determine if the statement is true or false. Construct an argument that can be used to defend your solution.
An exterior angle of a triangle will always be obtuse.
The statement "an exterior angle of a triangle will always be obtuse" is actually false.
Why it is?
An exterior angle of a triangle is formed by extending one of the sides of the triangle, and it is the angle between that extended side and the adjacent side of the triangle.
The measure of an exterior angle is equal to the sum of the measures of the two interior angles that are not adjacent to it.
Now, consider a triangle with interior angles of 70, 60, and 50 degrees. If we extend the side opposite the 70-degree angle, we get an exterior angle of 110 degrees. However, 110 degrees is not obtuse, since an angle is obtuse if and only if it is greater than 90 degrees. Therefore, we have shown that an exterior angle of a triangle does not always have to be obtuse.
In summary, the statement "an exterior angle of a triangle will always be obtuse" is false, and we have provided a counterexample to show why this is the case.
To know more about triangle related question visit:
https://brainly.com/question/2773823
#SPJ1
If the equations x² - 5x+6=0 and X² + ax +6=0 common roots, find the Value a
Answer:
Step-by-step explanation:
Sampling considerations. A statistics class has 10 graduate students and 40 undergraduate students. You want to randomly sample 10% of the students in the class. One graduate student and four undergraduate students are selected at random. Which of the following is not correct? and why?
(a) Because each student has a 10% chance of being selected, this is a simple random sample.
(b) Because each sample includes exactly one graduate student and four undergraduate students, this is not a random sample.
(c) It is possible to get a sample that contains only graduate students.
(d) It is possible to get a sample that contains only undergraduate students.
The option that is incorrect is option (b) Because each sample includes exactly one graduate student and four undergraduate students, this is not a random sample.
Simple random sample:A simple random sample is a type of probability sampling method used in statistics, where each member of a population has an equal chance of being selected for the sample.
In other words, in a simple random sample, every possible sample of a given data will have has an equal probability of being selected from the population.
Here we have
A statistics class has 10 graduate and 40 undergraduate students.
We want to randomly sample 10% of the students in the class.
Even though one graduate student and four undergraduate students are selected at random, the percentage selecting both categories is the same.
Hence, this is a simple random sample.
Therefore,
The option that is incorrect is option (b) Because each sample includes exactly one graduate student and four undergraduate students, this is not a random sample.
Learn more about Simple random sample at
https://brainly.com/question/13219833
#SPJ1
Joe dreams of being a striker for Bafana Bajora some day. Every day, after school, he takes 100 practice goal kicks from various angles and distances. On the first day he only managed to kick 12 goals. On the second next day be kicked 14 goals, on the third day 16 and on the fourth day 18. If the pattern continues, how long will be huve to practice before he will kick 100 goals?
The number of days it will take for him to kick 100 goals is given as follows:
45 days.
How to define a linear function?The slope-intercept definition of a linear function is presented as follows:
y = mx + b.
In which:
The slope m represents the increase of y per each unit of x.The intercept b represents the value of y when x = 0.The parameters for this problem are given as follows:
m = 2, as each day, the number of goals increased by two.b = 10, as on the first day, he managed to kick 12 goals, hence on the day zero, the amount was of 12 - 2 = 10.Hence the function giving the number of goals on day x is given as follows:
y = 2x + 10.
The number of days for him to score 100 goals is then obtained as follows:
100 = 2x + 10
2x = 90
x = 90/2
x = 45 days.
More can be learned about linear functions at https://brainly.com/question/24808124
#SPJ1
Unexpected expenses have come up, and you want a cash advance on your credit card (which comes with a transaction fee of 2.5%). The limit on your credit card is $7,500, and you already have a balance of $2,200. What is your available credit? How much will you owe as a transaction fee if you want a cash advance on your available credit??
Please answer correctly and explain your answer…
To calculate your available credit, you need to subtract your current balance and the amount of cash advance you want from your credit limit:
Available credit = credit limit - current balance - cash advance amount
Given that your credit limit is $7,500 and your current balance is $2,200, the available credit can be calculated as follows:
Available credit = $7,500 - $2,200 - cash advance amount
Now, if you want a cash advance of $1,000, for example, your available credit will be:
Available credit = $7,500 - $2,200 - $1,000 = $4,300
Therefore, your available credit is $4,300 if you want a cash advance of $1,000.
To calculate the transaction fee, you need to multiply the cash advance amount by the transaction fee percentage. In this case, the transaction fee is 2.5%. So, if you want a cash advance of $1,000, the transaction fee will be:
Transaction fee = $1,000 x 0.025 = $25
Therefore, if you want a cash advance of $1,000, you will owe a transaction fee of $25. It's important to note that cash advances usually come with a higher interest rate than regular credit card purchases, so it's best to use them only when absolutely necessary and pay them off as soon as possible to avoid accruing interest charges.
The legislature in a state has 32 seats. Apportion these seats to the five counties below using Hamilton's method.
County Population Seats?
Adams 213,000.
Grant 225,000
Colton 351,000
Davis 158,000
Hayes 70,000
Using the Hamilton's method of apportioning of seats, the five countries will get the following number of seats:
Adams = 7
Grant =7
Colton= 11
Davis= 5
Hayes= 2
Total = 7+7+11+5+2 = 32 seats
How to calculate the number of seats using Hamilton's method?To calculate the number of seats, first find the Standard Divisor (SD). That is: SD = Total population / Number of seats available
Total population = 213,000+225,000+351,000+158,000+70,000 = 1,017,000
Then divide the total population by number of seats available (32).
That is: SD = 1,017,000/32
SD = 31,781.25
Find the Standard Quota (SQ) for each county by using the formula;
SQ = County population / SD
Adam's SQ = 213,000/31,781.25 = 6.70
Grant's SQ = 225,000/31,781.25 = 7.08
Colton's SQ = 351,000/31,781.25 = 11.04
Davis's SQ = 158,000/31,781.25 = 4.97
Hayes's SQ = 70,000/31,781.25 = 2.20
Find the Lower Quota for each county and find the total number of occupied seats:
Adams = 7
Grant =7
Colton= 11
Davis= 5
Hayes= 2
Total = 7+7+11+5+2 = 32 seats
Learn more about addition here:
https://brainly.com/question/25421984
#SPJ1