Lea invests $8,250 in a savings account with a fixed annual interest of 8% compounded monthly. What will the account balance be after 5 years?

A = $12,291.23

Step-by-step explanation:

A = P + I where

P (principal) = $8,250.00

I (interest) = $4,041.23

Calculation Steps:

First, convert R as a percent to r as a decimal

r = R/100

r = 8/100

r = 0.08 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 8,250.00(1 + 0.08/12)(12)(5)

A = 8,250.00(1 + 0.006666667)(60)

A = $12,291.23

Summary:

The total amount accrued, principal plus interest, with compound interest on a principal of $8,250.00 at a rate of 8% per year compounded 12 times per year over 5 years is $12,291.23.

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

the factor is 2

step-by-step explanation:

let f(x)=8(3^(x−2)+2)

to stretch a graph by 3, it would be 3f(x)

g(x) =3f(x)

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

x     −2     0     2     4     6

f(x) 1/64 1/16   1/4     1     4

1/64 * z * z = 1/16

i multiplies by z twice because it its 2 steps from -2 to 0

1/64 z^2 = 1/16

multiply by 64 to clear the fraction on the left side

1/4 * 64 z^2 =1/16 *64

z^2 = 4

take the square root of each side

sqrt(z^2) = ±sqrt(4)

z = ±2  

we are multiplying by 2 each time.