If $14,000 is invested at 4% compounded quarterly, what is the amount after 8 years?
the amount after 8 years will be

The amount after 8 years is $19249.17

Step-by-step explanation:

For any calculation for investments there si the compound interest formula:

Where

P = principal amount (the initial amount you borrow or deposit)

r  = annual rate of interest (as a decimal)

t  = number of years the amount is deposited or borrowed for.

A = amount of money accumulated after n years, including interest.

n  =  number of times the interest is compounded per year  

So for this example

P, the original amount ($14000)

r, 4%

t, 8 years

A, the amount after 8 years

n, 4, due that is quarterly

b. 24 mm

step-by-step explanation:

use the pythagorean theorem.

a^2 + b^2 = c^2

a^2 + 7^2 = 25^2

a^2 + 49 = 625

a^2 = 576

a = 24

answer: b. 24 mm

80π/3 or about 83.775

step-by-step explanation:

since a cone is 1/3 of a cylinder, we need to find the base's area. since area = πr^2, we get 16π. then, multiplying this by 5, we get 80π. dividing by 3, since the cone's volume is 1/3 of that of a cylinder's, we get 80π/3.

hope this !