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Delilah deposits 8,255 in an account that pays 4.2% simple interest. How much money will be in her account after 8 years

User ICediCe
by
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2 Answers

2 votes

Final answer:

To calculate the total money in Delilah's account after 8 years with 4.2% simple interest, we use the formula A = P(1 + rt). Substituting the values, we find that she will have $11,026.28.

Step-by-step explanation:

To calculate the total amount of money Delilah will have in her account after 8 years with simple interest, we can use the formula for simple interest: A = P(1 + rt), where:

P is the principal amount (the initial amount of money)

r is the annual interest rate (in decimal form)

t is the time the money is invested or borrowed for, in years

First, we convert the annual interest rate from a percentage to a decimal by dividing by 100:

r = 4.2% or 0.042 when expressed as a decimal.

Next, we apply the values to the simple interest formula:

A = 8255(1 + (0.042 × 8))

Now let's calculate:

A = 8255(1 + 0.336)
A = 8255 × 1.336
A = 11026.28

Therefore, after 8 years at a 4.2% simple interest rate, Delilah will have $11,026.28 in her account.

User Bogdan Balan
by
3.9k points
9 votes

Answer:

11235.35

Step-by-step explanation:

Given data

P=8225

R=4.2%=0.042

T=8years

The simple interest formula is

A=P(1+rt)

Substitute

A=8225(1+0.042*8)

A=8225(1+0.336)

A=8225*1.366

A=11235.35

Hence the balance will be 11235.35

User Shadik Khan
by
4.8k points