You deposit 4000 into a savings account. the account earns 2.75% simple interest. how long will it take to earn $220 in interest?

From the information given, the deposit is 4000$, interest rate is 2.75%  the final interest amounts to 220$ but the time it will take to earn this interest is unknown. We will assume the interest earned is per annum.

The formula we use is I = Prt

Let simple interest be I which is 220

Let principal sum be P which is 4000

Let interest rate be r which is 2.75 %

Let time be t

We need t,  so we  say t = I / Pr

t =  220  /  4000 * 2.75/100

t = 220 / 4000 * .0275

t = 220 / 110

t = 2

Therefore the time it will take to earn 220 $ interest is 2 years.

a. 6

b.-10

c. -4

d. 22

e. -4

f. -13

Step-by-step explanation:

Hi!

Alright, so when we say g of some number, we mean input that number instead of x into the formula.

Our g(x) formula is -2x+12.

g(3) = -2(3) + 12 = -6 +12 = 6

a. 6

Our f(x) formula is 1/2x - 8

We input -4 in for x ---> (1/2) (-4) - 8 --> -2 - 8

b. 10

Our f(x) formula is 1/2x - 8

1/2(8)-8 --> 4-8 --> -4

c. -4

Our g(x) formula is -2x+12.

-2(-5)+12 --> 10+ 12 =22

d. 22

Now, e is a multiple step problem. First, we're going to find g(2) and then input our answer into f.

g(2) = -2(2)+12 = -4+12 = 8

f(8) = 1/2(8) - 8 = 4-8 = -4

e. -4

F is also a multi step problem.

We're first going to find f(6) and then g(10) (this order doesn't generally matter) and then take the sum.

f(6) = 1/2(6) -8 = 3-8 = -5

g(10) = -2(10)+12 = -20 + 12= -8

-5+ -8 =-13

f. -13