$8,200 is invested in an account earning 5% interest (APR), compounded quarterly. Write a function showing the value of the account after t years, where the annual
growth rate can be found from a constant in the function. Round all coefficients in
the function to four decimal places. Also, determine the percentage of growth per
year (APY), to the nearest hundredth of a percent.​

Given : 1/16 ÷ 1/81 + - 1/8

To find: multiplicative inverse

Solution:

a multiplicative inverse is basically a reciprocal

Multiplicative inverse of number is the number which if multiplied by original number result in 1

1/16 ÷ 1/81 + -1/8

1/16 ÷ 1/81 = 81/16

+ - 1/8 = - 1/8

81/16 - 1/8

= 81/16 - 2/16

= (81 - 2)/16

= 79/16

t = 3

step-by-step explanation:

put t = 3 in this expression :

(3²-1)(3²-2)(3² - 3)(3² - 4) = 8×7×6×5 = 56×30 = 1680

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x