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Gnesinka [82]
3 years ago
14

A new car is purchased for 15700 dollars. The value of the car depreciates at 7.5% per year. To the nearest year, how long will

it be until the value of the car is 10100 dollars?
Mathematics
1 answer:
devlian [24]3 years ago
7 0

Answer:

10100=15700(1-0.075)^x

10100=15700(0.925)^x

divide both sides by 15700

0.925^x=101/157

convert decimal

(37/40)^x=101/157

take the log

x= log 37/40 (101/157)

x= 5.65824

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How much is point (-24,-12) dilated by to get to (-18,-9)?
Anna [14]

Answer:

Dilation factor = 0.75.

Step-by-step explanation:

One point on the xy-plane is (-24,-12). The transformation is the dilation which is done on the point and the image is given by (-18,-9). Dilation changes the size of the shape according to the dilation factor. If the original x-coordinate is -24, then the image will be calculated by multiplying the original point with the dilation factor. Therefore, -18= -24 * k, where k is the unknown dilation factor. Simply solve the equation for k.

24k = 18.

k = 18/24 = 3/4 = 0.75.

Similarly, 12k = 9. k = 9/12 = 3/4 = 0.75.

So the point (-24,-12) dilated by k=0.75 to get to (-18,-9)!!!

8 0
3 years ago
Subtract.<br> (7x2 + 6) - (2x-5)
Annette [7]

Answer:

25-2x

Step-by-step explanation:

(7x2+6)-(2x_5)

(14+6)-2x+5

20_2x+5

4 0
3 years ago
Read 2 more answers
then difference between the cubes of two numbers is twice the value of the perfect square of a possitive Intiger
PSYCHO15rus [73]
There are many solutions. But what do you mean with a perfect square of a number. I thought a number IS a perfect square or not.

For example, the difference between 2² and 4² = 12, which is twice the number 6, which is √36

The difference between 2² and 6² = 32, which is twice the number 16, which is a perfect square.

So choose depending on your interpretation of the question... ;-)
8 0
3 years ago
Multiply the terms 3xyz and -5x²yz​
Evgesh-ka [11]

Answer:

-15X^3y^2Z^2 is the answer

3 0
3 years ago
What is an equation of the line that passes through the points (-6, 5) and (6, 7)?
e-lub [12.9K]

Answer:

y=\frac{1}{6}x+6

Step-by-step explanation:

Let (x_1,y_1)\rightarrow(-6,5) and (x_2,y_2)\rightarrow(6,7)

<u>Determine slope</u>

<u />m=\frac{y_2-y_1}{x_2-x_1}\\ \\m=\frac{7-5}{6-(-6)}\\ \\m=\frac{2}{6+6}\\ \\m=\frac{2}{12}\\ \\m=\frac{1}{6}

<u>Use either ordered pair to find the y-intercept</u>

<u />y=mx+b\\\\7=\frac{1}{6}(6)+b\\\\7=1+b\\\\6=b

<u>Final equation</u>

<u />y=\frac{1}{6}x+6

4 0
2 years ago
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