Jack has $500 in a bank account that will earn 3% interest every year. Diane has $100 in an investment account that will earn 12% every year. How many years will it take for Diane's account balance to overtake Jack’s?

20 years

Step-by-step explanation:

A=500(1+.03)^20

$903

A=100(1+.12)^20

$964

It took her 20 years to overtake.

Step-by-step explanation:

Jack

Yearly interest = 0.03*500 = $15

Diane

Yearly interest = 0.12*100 = $12

Diane's initial amount and yearly interest amount are both less than of Jack's.

It means her balance will never overtake Jack's.

It is not mentioned in the question but let's assume it is compound interest which is annually compounded.

Then after x years their balance will be:

Jack

Diane

Solve inequality below:

5x + 5

step-by-step explanation:

you should always add the diagrams and graphs we cannot see. this particular question is kind of borderline because we can make a graph for you.

(f + g)x = -x^2 +3x + 5 + x^2 + 2x

(f + g)x = 5x + 5

the graph of z = 5x + 5 is shown below. always use desmos when in doubt.