You currently have $1,200 and you need $1,750 in 4 years. What rate do you need to invest at to hit your goal?

You need to invest at the rate of 11.46% a year to hit your goal.

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

In which E are the earnings, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

.

In this problem, we have that:

We want to find I. So

First we have to find E

.

.

Now, we apply at the formula.

You need to invest at the rate of 11.46% a year to hit your goal.

horizontal translation of 2 units in the positive x direction

followed by

vertical translation of 3 units in the positive y direction

it has the same slope and a different y-intercept

hope this : )