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Gnesinka [82]
3 years ago
14

The value of your father’s car when bought was $30,000. If it loses 10% of its value every year, how long until the vehicle is o

nly worth $20,000?
Mathematics
1 answer:
Anvisha [2.4K]3 years ago
6 0

Answer:

6.7

Step-by-step explanation:

10% of 30000

10/100 x 30000

0.10 x 30000

=3000

In order to find how long you have to divide 20k with 3k

20000/3000 = 6.66666667

Round it up and you get 6.7

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How do we figure this out
lisov135 [29]

Answer:

Pair 1: 10 cm and 2 cm. and the sum is 12 cm.

Pair 2: 20 cm and 4 cm. and the sum is 24 cm.

Step-by-step explanation:

Area of a rectangle is given by A = LW, where L is the length and W is the width of the rectangle.

Pair 1:

For the first rectangle W = 4 cm and A = 40 sq, cm

Then L = \frac{A}{W} = \frac{40}{4} = 10 cm.

For the second rectangle W = 4 cm and A = 8 sq, cm

Then L = \frac{A}{W} = \frac{8}{4} = 2 cm.

Therefore, the sum of two unknown lengths = 10 + 2 = 12 cm. (Answer)

Pair 2:

For the first rectangle W = 4 cm and A = 80 sq, cm

Then L = \frac{A}{W} = \frac{80}{4} = 20 cm.

For the second rectangle W = 4 cm and A = 16 sq, cm

Then L = \frac{A}{W} = \frac{16}{4} = 4 cm.

Therefore, the sum of two unknown lengths = 20 + 4 = 24 cm. (Answer)

8 0
3 years ago
A rectangular park has an area of 250 square feet. The length of the park is 7 feet more then twice the width, w of the park. Wh
Andru [333]


Area = length * width

width = w

length = 2w+7

A = (2w+7) * w

250 =2w^2+7w

0 = 2w^2 +7w-250

5 0
3 years ago
Read 2 more answers
What is the y-intercept of the exponential function? f(x)=−32(2)x−3+3 Enter your answer in the box.
Bogdan [553]

y-intercept for x = 0.

Substitute x = 0 to the equation of the function:

f(x)=-32(2)^{x-3}+3\\\\f(0)=-32(2)^{0-3}+3=-32(2)^{-3}+3=-32\cdot\dfrac{1}{2^3}+3=-32\cdot\dfrac{1}{8}+3\\\\=-4+3=-1\\\\Answer:\ \boxed{y-intercept=-1\to(0,\ -1)}

6 0
3 years ago
Read 2 more answers
Yesterday the snow was 2 feet deep in front of archies house. Today,the snow depth dropped to 1.6 feet because the day is so war
pshichka [43]

Answer:

20%

Step-by-step explanation:

becuz 2×.2 = .4

subtract .4 from 2 and it's 1.6 and change the .2 to percentage

3 0
3 years ago
In △EKL, m∠K = 90º, m∠E = 25º, EK = 3 cm, KH - altitude. Find EH.
laiz [17]

Answer:

EH = 3.31

Step-by-step explanation:

We have been given a right angle triangle EKL. As KH has been given as the altitude (perpendicular) of the right angled triangle, and K is the right angle, we can say that EK is tthe base of the triangle and EH is the only side lleft, which is the hypotenuse of the triangle.

Where,

EK = Base = 3

KH = perpendicular altitude

EH = Hypotenuse

m<K = 90

m<E = 25

We know that

cosθ = Base/ Hypotenuse

cos 25 = 3/ EH

EH = 3/cos25

EH = 3.31

Perpendicular alitutude can also be calculated by using the formula for tanθ.

3 0
3 years ago
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