John leaves his house to go to school. He walks 7 blocks north and then 4 blocks west. How far is John from his home?
round to nearest tenth

8.1 blocks from his house

Step-by-step explanation:

Draw it out,

You'll end up with a triangle with side a= 4 and b=7. What's left to find is the hypotenuse (the distance he is from his house).

Use pythagorean theorem (a^2 + b^2= C^2)

4^2 + 7^2= C^2

16 + 49 = C^2

65 = C^2

C= 8.06, round to 8.1

f(x) = 20,000(0.85)x

Step-by-step explanation:

The question posed is an application of the compound interest problems. The compound interest formula is given as;

where;

A is the amount at the end of n years

P is the initial value of the investment

r is the interest earned on the principal invested

But in our case, the initial value of 20,000 is not earning any interest. The value of the car is depreciating and thus we modify the compound interest formula to become;

we are given the following information;

P = 20,000

r = 15% = 0.15

The value of the car after x years will be;