The function f(x) = 5,000(1.05)* models an investment of $5,000 earning 5% annually. Identify and interpret the values of a and b. What is the balance of
the investment after 15 years, assuming no further deposits or withdrawals?

$10350

Step-by-step explanation:

Given data

We are given that the function is

f(x) = 5,000(1.05)^x

The compound interest expression is given as

f(x) = P(1+r)^x

f(x) = 5,000(1.05)^t

the first term 5000 is the principal

the second term 1.05 is the rate

for x= 15

f(x) = 5,000(1.05)^15

f(x) = 5,000*2.07

f(x) =10350

Hence for 15 years the amount is $10350

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