Ali invests $4,078 in a retirement account with a fixed annual interest rate of 7% compounded continuously. What will the account balance be after 14 years? (round your answer to the nearest
dollar, and do NOT put a $ in your answer.

The account balance will be $10,866 after 14 years

Step-by-step explanation:

Compound continuous interest can be calculated using the formula:

Let us use this rule to solve the question

∵ Ali invests $4,078 in a retirement account

∴ P = 4,078

∵ The account with a fixed annual interest rate of 7% compounded

   continuously

∴ r = 7% = = 0.07

∵ The time is 14 years

∴ t = 14

Substitute these values in the rule above to find A

∵

→ Use the calculator to find the value of A

∴ A = 10,865.65255

→ Round it to the nearest dollar

∴ A = $10,866

∴ The account balance will be $10,866 after 14 years

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