If you invest $100,000 in an account earning 8% interest compounded annually, how long will it take until the account holds $300,000?

(Round to the nearest 0.1 of a year.)

( answergoes here )

Compound interest formulas:

A=P(1+rn)ntA=P(1+r/n)^nt and A=Pe^rt

We have been given that you invest $100,000 in an account earning 8% interest compounded annually. We are asked to find the time it will take the amount to reach $300,000.

We will use compound interest formula to solve our given problem.

, where,

A = Final amount after t years,

P = Principal amount,

r = Annual interest rate in decimal form,

n = Number of times interest is compounded per year,

t = Time in years.  

Let us take natural log on both sides of equation.

Using natural log property , we will get:

Upon rounding to nearest tenth of year, we will get:

Therefore, it will take approximately 14.3 years until the account holds $300,000.

last one.

step-by-step explanation:

last one.

generally speaking, the others follow some sort of pattern that correlates to either linear (looks like a straight line) or sinusoidal (looks like an s).

the last one is just a random cloud of points that doesn't correlate to any particular known order.

n=9

step-by-step explanation:

7 times a number = 7n

decreased by 13 = 7n-13

same as is =

5 times the number = 5n

increased by 5 = 5n+5

7n-13 = 5n+5

2n=18

n=9