The predicted value of the car in the year 2007 is 13310
Given the purchased value of new car in 1998 is $ 32,900
The value of car was $ 19,900 in the year 2003
We need to find the value of the car in the year 2007
Let the predicted value be x
The exponentially constant rate in 2003
32900*x^5 = $19900 (∵ x^5 = 5 years difference that is 1998 to 2003 )
Now In year 2007
2007 = 32900*x^9
x = 0.9043
The predicted value of the car is 0.09043
But we want the predicted value in 2007
Therefore ,
In 2007 ≈ x = 13310.02
Rounding off to the nearest dollar is $13310
Therefore the predicted value of the car in 2007 is $13310
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which of the following equations uses the commutative property of addition to rewrite 1/4 + 2/5?
a) 1/4 + 2/5= 5/20 + 8/20
b) 2/5 + 1/4= 13/20
c) 13/20 - 2/5= 1/4
d) 2/4 + 1/5= 14/20
Answer:
B)
Step-by-step explanation:
Hope that helps!
The equation in option (b), 2/5 + 1/4 = 13/20, uses the commutative property of addition to rewriting 1/4 +2/5.
What is the commutative property of addition?The sum of two or more integers remains the same regardless of how they are grouped, according to the commutative property of addition.
The given expression is 1/4 + 2/5.
Simplify the expression as follows:
1/4 + 2/5
= (5 + 8)/20
= 13/20
Hence, it follows 1/4 + 2/5 = 13/20.
Now, using the commutative property of addition, the equation can be written as:
2/5 + 1/4 = 13/20
Hence, the equation in option (b), 2/5 + 1/4 = 13/20, uses the commutative property of addition to rewriting 1/4 +2/5.
Learn more about the commutative property of addition:
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Spencer had a sack filled with 65 9/10 pounds of cement. He removed some of the cement from the sack and put it into three buckets. He put 8 1/10 pounds of cement in each bucket. Spencer says he has about 42 pounds of cement left in the sack. Is his statement reasonable?
Answer:
No the statement isnt reasonable
Step-by-step explanation:
True or False? If one of the angles of a triangle is obtuse, then the triangle is obtuse.
Answer:
True
Step-by-step explanation:
Image result for True or False? If one of the angles of a triangle is obtuse, then the triangle is obtuse.
In an obtuse triangle, if one angle measures more than 90°, then the sum of the remaining two angles is less than 90°. Here, the triangle ABC is an obtuse triangle, as ∠A measures more than 90 degrees. ... Hence, if one angle of the triangle is obtuse, then the other two angles with always be acute.
Answer:
True, as long as the other angles are acute !!
Step-by-step explanation:
I hope this helps !! :D
=. Diego and Priya are each saving money. Diego starts with $80 in his savings account and adds $5
per week. Priya starts with $30 in her savings account and adds $15 each week.
After three weeks, who has more money in their savings account? Explain how you know.
a.
Answer:
diego. 80+(5x3)= 95
it isn't priya because 30+(5x3)=45
The length of a rectangle exceeds the breadth by 8 cm. Find the area of the rectangle, if its perimeter is 180 cm
Answer:
2009cm^2
Step-by-step explanation:
Given data
let the length be L
and the width be w
so
w= x
L=x+8
P= 180cm
P= 2L+2W
180= 2(x+8)+2(x)
180= 2x+16+2x
collect like terms
180= 4x+16
180-16= 4x
164= 4x
x= 164/4
x=41
W= 41cm
L= 41+8
L= 49cm
A= L*W
A=49*41
A=2009cm^2
Hence the area is 2009cm^2
I NEED HELP AGAIN 4.0
Answer:
Move the dot at the axis one to the left and one down move the other dot to (7,0)
Step-by-step explanation:
Find the dot at the origin (0,0)
Move it to (-1,-1) which is one unit to the left and one unit down.
Select other dot and place it at (7,0)
Click submit
2(1/2z+ 4)- 0.5
what could this be re written as?
a. z-3.5
b. z+7.5
c. z+8.5
d. 2z+3.5
Answer:
B. z+7.5 is the answer I chose
Evaluate y + (x2 + y) when x = 0.4, y = 3, z =
Answer:
6.16 is the answer
Step-by-step explanation:
3 + (.4^2 + 3)
3 + 3.16
6.16
Guys help please I need this done in like 5-10 mins I will mark u brainliest please
Answer:
HI
Step-by-step explanation:
U got this (:
Answer:
1/4
Step-by-step explanation:
rise=y it takes him 4 minutes to run 1 km so rise over run would be 1//4
run=x
and him running 1 minute is half a meter
or do you need slope fomula
this is not the clearest photo so it might be wrong but i hope this clears some up please mark brainlest
In Geometry, which kind of reasoning is used in proving theorems? Inductive or Deductive Reasoning? Why?
Answer:
Inductive
Step-by-step explanation:
Because our conclusion is based on facts, the conclusions reached by deductive reasoning are correct and valid.
(5x^2-4X + 7) - (4x + 2)
PLS HELP WILL MARK BRAINLIEST !!!!!!
Which of the following variables is most commonly graphed on a line graph?
distance
time
speed
size
Answer:
If these are answer choices, i believe the correct answer is B, time.
Step-by-step explanation:
Answer:
It's Time
Step-by-step explanation:
A running race follows a triangular course. The first leg of the race is in a straight line, covering 4.4km. Runners turn an angle of 79 deg for the second leg, and then turn again 77 deg to head back to the start line to finish the race. What is the length of the entire race, to the nearest tenth of a kilometer?
Answer:
The length of the entire race is 9,5km
Step-by-step explanation:
Required
Determine the length of the race.
To aid my explanation, I have added an attachment which shows the triangular course.
From the attachment, we have:
A as the starting point and the following measurement;
[tex]\angle B = 11^{\circ[/tex]
[tex]\angle C = 13^{\circ} + 79^{\circ} = 92^{\circ[/tex]
[tex]\angle A + \angle B + \angle C = 180^{\circ}[/tex]
[tex]\angle A = 180^{\circ} - (\angle B + \angle C )[/tex]
[tex]\angle A = 180^{\circ} - (11^{\circ}+92^{\circ})[/tex]
[tex]\angle A = 77^{\circ}[/tex]
[tex]\angle B = 11^{\circ[/tex]
[tex]\angle C = 92^{\circ[/tex]
[tex]c = 4.4km[/tex]
Apply sine rule
[tex]\frac{a}{sin\ A} = \frac{b}{sin\ B} = \frac{c}{sin\ C}[/tex]
[tex]\frac{a}{sin\ 77^{\circ}} = \frac{b}{sin\ 11^{\circ}} = \frac{4.4}{sin\ 92^{\circ}}[/tex]
[tex]\frac{a}{sin\ 77^{\circ}} = \frac{b}{sin\ 11^{\circ}} = \frac{4.4}{0.9994}[/tex]
[tex]\frac{a}{sin\ 77^{\circ}} = \frac{b}{sin\ 11^{\circ}} = 4.403[/tex]
Split to solve for a and b
[tex]\frac{a}{sin\ 77^{\circ}} =4.403[/tex]
[tex]\frac{b}{sin\ 11^{\circ}} = 4.403[/tex]
Make a the subject
[tex]\frac{a}{sin\ 77^{\circ}} =4.403[/tex]
[tex]a = 4.403 * sin(77^{\circ})[/tex]
[tex]a = 4.403 * 0.9744[/tex]
[tex]a = 4.3km[/tex]
Make b the subject
[tex]\frac{b}{sin\ 11^{\circ}} = 4.403[/tex]
[tex]b = 4.403 * sin(11^{\circ})[/tex]
[tex]b = 4.403 * 0.1908[/tex]
[tex]b = 0.8km[/tex]
The length of the race is:
[tex]Length = a + b + c[/tex]
[tex]Length = 4.3km + 0.8km + 4.4km[/tex]
[tex]Length = 9.5km[/tex]
2x2– 21x = 11 what would the x be
Answer:
x = -1/3
Step-by-step explanation:
Find the area of the triangle... HURRRY PLZ HELP HELP HELP. ILL MARK BRAINLYIST THINGY
Answer:
38.25
Step-by-step explanation:
A = 1/2(8.5)(9)
Answer:
[tex]38.25 mm^{2}[/tex]
Step-by-step explanation:
Area of a triangle = 1/2bh
b = 8.5
h = 9
1/2(8.5)(9) = 38.25
On a map the distance between Juneau and Fairbanks is 5 inches. The approximate distance is 625 miles. The distance between Denver and Fairbanks is 19.5 inches on the same map. What is the approximate distance from Denver to Fairbanks to the nearest mile?
Answer:
The answer for this question is 2,437.5 or rounded 2,438.
Step-by-step explanation:
5 goes into 19.5, 3.9 times to get that take 19.5÷5 to get 3.9. Then take 625×3.9 to get the total of 2,437.5 miles for your answer.
Answer:
Step-by-step explanation:
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What is 5n = 185 what’s the n=__?
249 = 3y y=__?
-6w = 354 w=__?
1. n = 37
isolate n by dividing both sides by 5
2. y = 83
isolate y by dividing both sides by 3
3. w = -118
isolate w by dividing both sides by -6
15. Which of the following systems represent the graph shown?
A) 2x + 3y < 6
-x + y > -4
B) 2x + 3y _> 6
-x + y _> -4
C) x + y >_ 4
2x - 3y <_ 6
D) x + y > 4
2x - 3y < 6
I need help please):
Answer:
7) x = 5
8) x = 10
Step-by-step explanation:
7) 2x-3=x+2
x=5
8) 4x=2x+20
2x=20
x=10
can anyone help with this???
Answer:
X= 13
A=104
C=26
Step-by-step explanation:
the equation is 8x+2x+50=180
10x=130
x=13
5xy4 25x2y 5x2y2 What is the greatest common factor (GCF) of the monomials shown above?
Answer:
5xy
Step-by-step explanation:
I'm going out on a limb and assuming exponents.
[tex]5xy^{2} \\25x^{2}y \\5x^{2} y^{2}[/tex]
We can note that 5 is a common factor for the coefficients. All the terms share at least one x. All the terms share all least one y. So the GCF of these monomials is 5xy.
Please help due today
Answer:
14 miles
Step-by-step explanation:
3 + 4 + 3 + 4 = 14
Two parallel lines are cut by a transversa
evaluate the following expression 10x(-9+(-6))
Answer:
-150x
Step-by-step explanation:
math help please (question 2)
PLEASE HELP I WILL GIVE BRAINALIST!!!!
AB contains points (4, 2) and (−1, −8). What is the equation of the line parallel to AB that contains point (0, 5)?
9514 1404 393
Answer:
y = 2x +5
Step-by-step explanation:
We can use the slope formula to find the slope of AB, which is the same as the slope of the parallel line. Then, we can use the point-slope equation for a line to find the desired equation.
m = (y2 -y1)/(x2 -x1)
m = (-8 -2)/(-1 -4) = -10/-5 = 2
__
y -y1 = m(x -x1) . . point-slope form of equation for a line
y -5 = 2(x -0) . . . . fill in m=2, (x1, y1) = (0, 5)
y = 2x +5 . . . . . . . rearrange to slope-intercept form
Do the ratios 20/10 and 4/2 form a proportion? Yes or no
Answer:yes
Step-by-step explanation:they are equal
Other option
B: 74.9
C: 15.1
D: 15.7
Step-by-step explanation:
cosine of B = adjacent/hypot
to find hypotenuse use a^2+b^2 = c^2
which is 5 (it's a 3,4,5 triangle so it's easy)
Cosine B= 4/5
HELP ME IT WOULD MEAN A LOT
Answer:
123
Step-by-step explanation:
72+51=123
123 - 72 = 51
Answer:
72+51=123
123 - 72 = 51
Step-by-step explanation:
You guessed the height of the building to be 23 feet, but it was actually 35 feet. What was your percent error? Round to the nearest WHOLE percent
please round to WHOLE
Answer:
34%
Step-by-step explanation:
35 - 23 = 12, so the guess is off by 12/35.
To find the percentage, divide 12 by 35, which is approximately 34%.