Question

HELP ME WITH THESE QUESTIONS

Answer 1

Answer: $11,233.67, $81,661.70

Explanation:

`A = Pe^(rt)` where A is the total amount earned, P is the principal amount invested, r is the interest rate, and t is the time it is invested

What do we know?

A = unknown

P = 10,000

r = .07 (converted 7%)

t = 3 years

`A = Pe^(rt)`

`A = 10,000e^((.07)(3))`

`A = 10,000e^(.21)`

A = 10,000(1.2333678)

A = 11,233.3678

rounded to the nearest penny, A = 11,233.37

`A = Pe^(rt)`

`A = 10,000e^((.07)(30))`

`A = 10,000e^(2.1)`

A = 10,000(8.16617)

A = 81661.70

************************************************************

Answer:
`(2)/(5)`

Explanation:

`ln\sqrt[5]{e^(2) }`

=
`ln(e^{(2)/(5) } )`

=
`(2)/(5)`