1. If $7200 is invested in a savings account now at the interest rate 14.25%, compounded quarterly (once every 3 months, or four times per year). How much will the account be worth in 3, 10, 14, and 20 years?

After 3 years: $
After 10 years: $
After 14 years: $
After 20 years: $

With a principal = 7200$, interest rate = 14.25% = 0.1425 (compounded quarterly), the amount of money(M) after n years is calculated by formula:

M = Principal x (1 + rate)^time

   = 7200 x (1 + 0.1425/4)^(nx4)

(the rate is divided by 4 and the time is year x 4, because this is compounded quarterly, 1 year has 4 quarters, each quarter has 3 months)

=> After 3 years:

M = 7200 x (1 + 0.1425/4)^(3x4) = 10958.7951$

=> After 10 years:

M =  7200 x (1 + 0.1425/4)^(10x4) =29203.4074$

=> After 14 years:

M =  7200 x (1 + 0.1425/4)^(14x4) = 51129.7818$

=> After 20 years:

M =  7200 x (1 + 0.1425/4)^(20x4) = 118449.862$

Hope this helps!

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).