Answer: The compound interest is $409.49, and the total amount after one year is $3,665.49.
Step-by-step explanation:
We can use the formula for compound interest to solve this problem:
A = P(1 + r/n)^(nt)
where:
P = the principal (in this case, $3,256)
r = the annual interest rate (100%, or 1 as a decimal)
n = the number of times the interest is compounded per year (4, since it's compounded quarterly)
t = the number of years (1)
Plugging in the values we know, we get:
A = $3,256(1 + 1/4)^(4*1)
A = $3,256(1.25)^4
A = $3,665.49 (rounded to the nearest cent)
To find the compound interest, we can subtract the principal from the total amount:
Compound interest = $3,665.49 - $3,256 = $409.49
Therefore, the compound interest is $409.49, and the total amount after one year is $3,665.49.
Find the value of x. If a segment looks like a tangent, it is a tangent.
We got x = 149.53 by using Pythagorean theorem.
What is the Pythagorean theorem in plain English?According to Pythagoras's Theorem, the square of the hypotenuse side in a right-angled triangle is equal to the sum of the squares of the other two sides.Perpendicular, Base, and Hypotenuse are the names of this triangle's three sides.angle of semicircle is always be 90°.
[tex]172^2=85^2+x^2[/tex]
[tex]29584=7225+x^2[/tex]
[tex]x^2=29584-7225[/tex]
[tex]=22359[/tex]
[tex]x=\sqrt{22359}[/tex]
[tex]\boxed{\bold{x=149.53}}[/tex]
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how do i solve this??
Question 9(Multiple Choice Worth 2 points)
(Creating Graphical Representations LC)
A teacher was interested in the subject that students preferred in a particular school. He gathered data from a random sample of 100 students in the school and wanted to create an appropriate graphical representation for the data.
Which graphical representation would be best for his data?
Stem-and-leaf plot
Histogram
Circle graph
Box plot
Histogram is the ideal type of graphic to depict the data from the school's random sample of 100 students.
Explain about the Histogram:A histogram is a representation of statistical data that makes use of rectangles to illustrate the frequency of dataset in a series of equal-sized numerical intervals.
The independent variable is represented is along horizontal axis and indeed the dependent variable is plotted along of the vertical axis in the most popular type of histogram.A histogram is a type of bar graph that displays how frequently something occurs over a range of time. Histograms compare a variety of data, as opposed to bar graphs, which compare defined amounts.Given that-
The most efficient sort of graphic to show the data would be a histogram.A histogram is an illustration of a graph that shows the proportion of data points within such a range of values.It is a useful tool for showing data distribution and also can aid in the identification of trends and patterns.The best sort of graph to use is a histogram because it displays the frequency of data points.Thus, Histogram is the ideal type of graphic to depict the data from the school's random sample of 100 students.
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Find the area of the figure. Split each part up and fin the area + add them together SHOW WORK PLS
The area of the fiqure is 132 cm².
What is area?Area is the region bounded by a plane shape.
To calculate the area of the figure, we use the formula below
Formula:
A = Area of the rectangle+ Area of the triangle+Area of the tripeziumA = LW+bh/2+h(A+B)/2...................... Equation 1Where:
L = Length of the rectangleW = Width of the rectangleb = Base of the triangleh = Height of the triangle = Height of the tripeziumA, B = The two parallel sides of the tripeziumFrom the diagram,
Given:
W = 4 cmL = 7 cmh = 8 cmb = 6 cmA = 7 cmB = 13 cmSubstitute these values into equation 1
A = (4×7)+(6×8/2)+8(7+13)/2A = 28+24+80A = 132 cm²Hence, the area is 132 cm².
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An angle measures 56.8° less than the measure of its complementary angle. What is the
measure of each angle?
Chipwich Summer Camp surveyed 100 campers to determine which lake activity was their favorite. The results are given in the table.
Lake Activity Number of Campers
Kayaking 15
Wakeboarding 11
Windsurfing 7
Waterskiing 13
Paddleboarding 54
If a circle graph was constructed from the results, which lake activity has a central angle of 54°?
Kayaking
Wakeboarding
Waterskiing
Paddleboarding
Question 12
A recent conference had 750 people in attendance. In one exhibit room of 70 people, there were 18 teachers and 52 principals. What prediction can you make about the number of principals in attendance at the conference?
There were about 193 principals in attendance.
There were about 260 principals in attendance.
There were about 557 principals in attendance.
There were about 680 principals in attendance.
The activity with a central angle of 54° is Kayaking and there were about 557 principals in attendance based on the prediction
The activity with a central angle of 54°The formula to calculate the central angle for an activity is:
central angle = (number of campers for the activity / total number of campers) x 360°
Using this formula, we can calculate the central angle for each activity:
Kayaking: (15/100) x 360° = 54°
Wakeboarding: (11/100) x 360° = 39.6°
Windsurfing: (7/100) x 360° = 25.2°
Waterskiing: (13/100) x 360° = 46.8°
Paddleboarding: (54/100) x 360° = 194.4°
Therefore, the activity with a central angle of 54° is Kayaking.
Predicting the number of principals in attendance at the conference?To make a prediction about the number of principals in attendance at the conference, we can assume that the proportion of principals in the exhibit room is similar to the proportion of principals in the whole conference.
In the exhibit room, out of 70 people, 52 were principals.
So, the proportion of principals in the exhibit room was 52/70
We can predict the number of principals in attendance at the conference as follows:
Number of principals = proportion of principals x total number of attendees
If we plug in the values, we get:
number of principals = 52/70 x 750 = 557
So, based on this prediction, we can say that there were 557 principals in attendance at the conference.
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A brick layer has 20 stacks with an equal number of bricks on them. If the total weight of all the bricks is 3,264 pounds, how much does each stack of bricks weigh?
A.
162.1 pounds
B.
164.1 pounds
C.
162.2 pounds
D.
163.2 pounds
each stack of bricks weighs 163.2 pounds. So the answer is D) 163.2 pounds. we need to form equation to solve this
what is equation ?
An equation is a mathematical statement that shows the equality between two expressions. It consists of two sides, a left-hand side (LHS) and a right-hand side (RHS), that are separated by an equal sign (=). An equation tells us that the expressions on both sides have the same value or are equivalent.
In the given question,
If there are 20 stacks with an equal number of bricks on them, let's call the number of bricks on each stack "x". Then the total number of bricks is:
total number of bricks = 20 stacks × x bricks/stack = 20x bricks
We are also told that the total weight of all the bricks is 3,264 pounds. Let's call the weight of each brick "w". Then the total weight is:
total weight = number of bricks × weight per brick = (20x) bricks × w pounds/brick
We want to find the weight of each stack of bricks, which is equal to the weight of a certain number of bricks. Let's call this weight "s". Then we have:
s pounds/stack = x bricks/stack × w pounds/brick
We can solve for "s" by using the two equations above:
total weight = (20x) bricks × w pounds/brick = 3,264 pounds
s pounds/stack = x bricks/stack × w pounds/brick
Dividing the first equation by 20x, we get:
w pounds/brick = 3,264 pounds ÷ (20x) bricks/stack = 163.2 pounds/stack
Substituting this into the second equation, we get:
s pounds/stack = x bricks/stack × 163.2 pounds/stack
Dividing both sides by x, we get:
s pounds/stack ÷ x bricks/stack = 163.2 pounds/stack
Simplifying, we get:
s pounds/brick = 163.2 pounds/stack
Therefore, each stack of bricks weighs 163.2 pounds.
So the answer is D) 163.2 pounds.
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Question 10(Multiple Choice Worth 5 points)
(Identifying Functions LC)
The graph represents a relation where x represents the independent variable and y represents the dependent variable.
a graph with points plotted at negative 5 comma 1, at negative 2 comma 0, at negative 1 comma 3, at negative 1 comma negative 2, at 0 comma 2, and at 5 comma 1
Is the relation a function? Explain.
No, because for each input there is not exactly one output.
No, because for each output there is not exactly one input.
Yes, because for each input there is exactly one output.
Yes, because for each output there is exactly one input.
Is the relation a function:
No, because for each input there is not exactly one output.How to know if the relation is a functionTo determine if the relation is a function, we need to check if there is exactly one output for each input.
Looking at the given set of points, we see that there are two points with an x-coordinate of -1: (-1, 3) and (-1, -2).
This means that there are two outputs for the same input, so the relation is not a function.
Therefore, the correct answer is: "No, because for each input there is not exactly one output."
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16^5+16^4 is divisible by 17
please help needed like rn
An equation in slope-intercept form for the line shown in the graph is x = -1.
How to determine an equation of this line?In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):
y - y₁ = m(x - x₁)
Where:
m represent the slope.x and y represent the points.First of all, we would determine the slope of this line;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (0 - 3)/(-1 + 1)
Slope (m) = -3/0
Slope (m) = 0.
At data point (-1, 3) and a slope of 0, a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - 3 = 0(x - (-1))
y - 3 = 0
y = 3.
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the mesures of two suplementary angles are (1/2x) and (x+30) betermine te value of x
12. Jenny's water bottle holds 1.3 liters of water. How many milliliters of water does the water bottle hold? milliliters
Answer:
1300 milliliters
Step-by-step explanation:
There are 1000 milliliters in one liter. so 1.3 liters would be 1300. 1.3 x 1000 = 1300.
Suppose 15% of x equals 20% of y. What percentage of x is y?
A 5
B 35
C 75
D 133 1/3
E 300
If 15% of "x" is 20% of "y", then "y" is 75 percent of "x", the correct option is (c).
The "Percentage" is defined as a way to express the proportions or rates in terms of a "relative-scale" out of 100,
We know that, 15% of "x" equals 20% of "y".
Mathematically, this can be expressed as,
0.15x = 0.20y, ...because 15% = 0.15 and 20% = 0.20;
To find what percentage of x is y, we need to express "y" as a percentage of "x".
On solving further,
We get,
⇒ 0.15x = 0.20y,
⇒ y = (0.15x)/0.20,
⇒ y = 0.75x
It is read as "y" is read as 75% of "x".
Therefore, "y" is 0.75 times "x", or 75% of "x", Option(c) is correct.
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find the radius of a circle with a circumference of 90.25π m^2
you need to answer every question and you get 25pts and brainliest
Using probability, we can find the following:
a. In the figure.
b. The probability that the first set is green is = 0.8
c. Probability that the second set is green is = 0.06
d. The probability that both the sets are green is = 0.48
e. The probability that at least one set is green is = 0.86
Define probability?The likelihood that an event will occur is described by probability. There are many circumstances in real life where we may need to foresee how something will turn out. We might be able to predict the outcome of an event or we might not. At this point, we say, "There is a chance that the event will happen or not."
Here in the question,
b.
The probability that the first set is green is:
P = 1 - 0.2
= 0.8
c.
Now the first set is given as not green.
Probability that the second set is green is:
p = 0.2 × 0.3
= 0.06
d.
Now probability that both the sets are green is:
P = 0.8 × 0.6
= 0.48
e.
When both the sets are not green, probability is:
0.2 × 0.7
= 0.14
So, probability that at least one set is green is:
P = 1- 0.14
= 0.86
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Marcellus and Anika are playing a video game where they earn 35 stars for each level they pass. Which equation represents the total number of stars earned, y, for passing x levels?
The equation represents the total number of stars is y = 35x
Which equation represents the total number of starsThe equation that represents the total number of stars earned, y, for passing x levels would be:
y = 35x
where y represents the total number of stars earned, and x represents the number of levels passed.
For example, if Marcellus and Anika passed 10 levels, they would earn:
y = 35(10) = 350 stars
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given the vertex at (-4, 5) and a-value of 5, write the vertex form of the quadratic equation.
The vertex form of a quadratic equation is y = a(x-h)^2 + k, where (h,k) is the vertex.
To write the vertex form of a quadratic equation given the vertex (-4, 5) and a-value of 5, you can use the vertex form equation:
y = a(x - h)² + k
where (h, k) is the vertex and a is the a-value.
In this case, h = -4, k = 5, and a = 5. Substitute these values into the equation:
y = 5(x - (-4))² + 5
Simplify the equation:
y = 5(x + 4)² + 5
So, the vertex form of the quadratic equation is:
y = 5(x + 4)² + 5
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The vertex form of the quadratic equation is: y = 5[tex](x + 4 )^2[/tex] + 5
A quadratic equation's vertex form is provided by:
y = a[tex](x - h)^2[/tex] + k
where "a" is the coefficient of the parabola and "(h, k)" is its vertex [tex]x^2.[/tex]
Given that the vertex is (-4, 5) and a-value is 5, we can substitute the values into the vertex form equation:
h = -4
k = 5
a = 5
When we enter these numbers into the equation, we obtain:
y = 5(x -[tex](-4) ^2[/tex] + 5
Simplifying the equation, we get:
y = 5[tex](x + 4)^2[/tex] + 5
So, the vertex form of the quadratic equation is:
y = 5[tex](x + 4 )^2[/tex] + 5
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Can someone help me a little so I can learn this
Answer:b
Step-by-step explanation:
Answer:
b and c
Step-by-step explanation:
b 5(7+6s—9t)
35+30s—45
c 10×(3.5+3s—4.5t)
10×3.5 +10×3s—10×4.5t
35+30s—45t
Find the value of x
33 degrees and 108 degrees
Answer:
141 degrees
Step-by-step explanation:
First find the value of the other interior angle that is not shown. To find it u add 108 n 33 which gives you 141
Then subtract 141 from 180 which gives u 39 degrees
After subtract 39 from 180 which gives you 141 degrees
Find the value of x and y in each triangle
Answer:
x=4 y=3
Step-by-step explanation:
because y=3 and x=4
SARA WANTS TO SAVE $1600 IN 8 MONTHS, HOW MUCH DOES SARA NEEEDS TO SAVE MONTHLY?
Answer:
$200
Step-by-step explanation:
Just divide 1600 by 8
1600 ÷ 8 = 200
Answer:
sara needs to save 200 monthly
Step-by-step explanation:
i just divided 1600 by 8.
hope u have a great day!!
convert 180⁰ in to grades
Answer: 9/10
Step-by-step explanation:
a food shop offers 5 different sandwiches and 8 different drink choices. how many choices are possible for a single sandwich and a drink?
Answer:
Step-by-step explanation:
5
28 + 24 distribute property
Answer:
24 + 28
2*2*2*3 + 2*2*7 [prime factors]
You may distribute any common ones, for example:
4(6+7) [that is, 2*2*(2*3 + 7)
2(12+14)
Just look at the photo and anything you can help me with wi be much appreciated
What is the solution to the inequality -0.4x 1.27> 0.8
Answer:
x < 1.175
Step-by-step explanation:
-0.4x + 1.27 > 0.8
-0.4x > -0.47
x < 1.175
Find the area of the circle. Round your answer to the nearest hundredth. Use $3.14$ or $\frac{22}{7}$
for $\pi$ .
area: about
ft2
The area of the given circle is 1.76625 square feet.
How to find the area of the circle?Remember that the area of a circle of radius R is given by the formula:
A = pi*R²
Where pi = 3.14
Here we know the diameter (2 times the radius) of the circle, which is 1.5ft, then the radius is:
R = 1.5ft/2 = 0.75ft
Then the area of the circle is:
A = 3.14*(0.75ft)²
A = 1.76625 ft²
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[tex]7\sqrt[3]{7}-\sqrt[3]{128}[/tex]
The expression 7∛7 - ∛128 is: 49∛7 - 8∛2.
What is the expression?We can simplify this expression using the fact that ∛(a * b) = ∛a * ∛b and ∛(a^3) = a.
First, let's factor ∛128 into prime factors: ∛128 = ∛(2^7) = 2 * ∛(2^5) = 2 * ∛(32).
Next, we can simplify 7∛7 as much as possible:
7∛7 = ∛(7^3) * ∛7 = 7∛(7^2) * ∛7 = 7 * 7∛7.
Now we can substitute these simplifications into the original expression:
7∛7 - ∛128 = 7 * 7∛7 - 2 * ∛32
We can simplify ∛32 as follows:
∛32 = ∛(2^5) = 2 * ∛(2^2) = 4∛2
Now, we can substitute this back into the expression:
7 * 7∛7 - 2 * ∛32 = 7 * 7∛7 - 2 * 4∛2
= 49∛7 - 8∛2
So the simplified expression is 49∛7 - 8∛2.
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Find the x- and y-intercepts of the graph of -x + 2y = 30. State each answer as an integer or an improper fraction in simplest form.
Thus, the value of the x- and y-intercepts for the given linear equation is (-30, 0) and (0, 15)
Explain about the x- and y-intercepts:A nonlinear function's intercepts can be defined algebraically or graphically. The points on a graph where a nonlinear function crosses both x and y axes are known as the intercepts.
The terms "y-intercept" and "x-intercept" both refer to the values at the places where the graph crosses the y-axis and the x-axis, respectively.Keep in mind that x is zero at the y-intercept and y is zero at the x-intercept. According to algebra, a function's y-intercept is its value when x equals zero, and its x-intercept is its value when y equals zero.Given that-
linear equation: -x + 2y = 30
x-intercept: It occurs when y = 0,
-x + 2(0) = 30
-x = 30
x = -30
y-intercept: It occurs when x = 0,
-0 + 2y = 30
2y = 30
y = 15
Thus, the value of the x- and y-intercepts for the given linear equation is (-30, 0) and (0, 15).
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The histogram below shows the results of a survey on the number of traffic tickets received by a random group of drivers. 3 86 76 51 Number of People A 1 9 2 Traffic Tickets 10 8 6 Number of Traffic Tickets Step 6: How many people received either 4 or 5 traffic tickets? 12
In reference to the given histogram, an absence of bars signifying either 4 or 5 traffic tickets implies that no one from the selection had accumulated this amount.
How to explain the histogramIt should be noted that to make sure our point is accurate, we can sum the heights of the separate bars for 3, 6 and 8 tickets which demonstrate the total people included within the survey who have acquired the relevant number of traffic citations.
The height of the bar for three violations measures out at 1.
Conversely, a measurement of 2 denotes the bar for six infringements.
An assessment of 1 has been given to the bar with regards to eight offences.
Due to the lack of representation mentioned in the histogram concerning both 4 and 5 transgressions, it confirms our inference: nobody from the selection received four or five traffic tickets.
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