Ron estimates that it will cost $400,000 to send his daughter to a private college in

18 years. He currently has $90,000 to deposit in an account. What simple interest

rate must his account have to reach a balance of $400,000 in 18 years? Round to

the nearest percent.

simple interest rate is 19%

Step-by-step explanation:

The formula for determining simple interest is expressed as

I = PRT/100

Where

I represents interest paid on the amount invested.

P represents the principal or amount invested.

R represents interest rate

T represents the duration of the investment in years.

From the information given,

P = 90000

I = 400000 - 90000 = $310000

T = 18 years

Therefore,

310000 = (90000 × R × 18)/100

310000 = 16200R

R = 310000/16200

R = 19%

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is