Identify the initial amount a and the rate of growth r (as a percent) of the exponential function y=10(1+0.4)^t. Evaluate the function when t=5. Round your answer to the nearest tenth.

a = P( 1+R)^T

a = 10(1+0.4)^T

a = 10(1+0.4)^5

a = 53.7824

Step-by-step explanation:

input 5 for T

growth rate = 40%

0.4 = 40%

you add 1 when its a growth and subtract 1 when decay

3/4 ÷ 3/4

step-by-step explanation:

basically divide any proper fraction with itself to fit the criteria.

so if we are using 3/4, then:

3/4 ÷ 3/4 = 1

so 1 is the quotient.

and the numerators for both these fractions is 3.   and if we divide the numerators:

3 ÷ 3 = 1

we see that quotient is equal to our original quotient as well.

a - base

b - exponent

so,