Lisa richter deposited $5,000 at 4% compounded semiannually for three years. at the beginning of the fourth year, lisa deposited $2,500. what would her balance be at the end of five years assuming she is still earning 4% compounded semiannually?

$8,801.05

Step-by-step explanation:

Lisa Richter deposited $5,000 at 4% compounded semiannually for three years.

To calculate the amount after 3 years we use the formula

Where A = Future amount

           P = Principal amount ($5,000)

           r = rate of interest 4% (0.04)

           n = number of compounding interest semiannually (2)

           t = time (3 years)

Now put the values in the formula

A = 5000(1.126)

A = $5,630.81

At the beginning of the fourth year Lisa deposited $2,500. Now the amount would be

New principal amount = 5630.81 + 2500 = 8,130.81

we have to calculate the future amount at the end of five years or for 2 more years.

We will use the same method as we done above.

A = 8130.81 (1.08243)

A = $8,801.05

Lisa's balance at the end of five years $8,801.05

5=812a+9+3

step 1: simplify both sides of the equation.

5=812a+9+3

5=(812a)+(9+3)(combine like terms)

5=812a+12

5=812a+12

step 2: flip the equation.

812a+12=5

step 3: subtract 12 from both sides.

812a+12−12=5−12

812a=−7

step 4: divide both sides by 812.

812a /812 = -7/812

a= -1/116

so the answer is

a=   -1/116