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To calculate the maturity value of the CD, we can use the formula for compound interest: ( A = P \left(1 + \frac{r}{n}\right)^{nt} ), where ( P ) is the principal amount (3000), ( r ) is the annual interest rate (0.03), ( n ) is the number of times interest is compounded per year (4), and ( t ) is the number of years (3). Plugging in the values, we get:

[ A = 3000 \left(1 + \frac{0.03}{4}\right)^{4 \times 3} = 3000 \left(1 + 0.0075\right)^{12} \approx 3000 \times 1.093443 = 3280.33. ]

Thus, the CD will be worth approximately $3,280.33 at maturity.

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4d ago

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Suppose you buy a CD for 200 that earns 3 APR and is compounded quarly. The CD matures in 2 years. how much will this BD be worth at maturity?

To calculate the future value of a CD with a principal of $200, an annual percentage rate (APR) of 3%, and quarterly compounding over 2 years, you can use the formula for compound interest: [ A = P \left(1 + \frac{r}{n}\right)^{nt} ] Where: ( P = 200 ) (principal) ( r = 0.03 ) (annual interest rate) ( n = 4 ) (number of compounding periods per year) ( t = 2 ) (time in years) Plugging in the values: [ A = 200 \left(1 + \frac{0.03}{4}\right)^{4 \times 2} ] [ A = 200 \left(1 + 0.0075\right)^8 ] [ A = 200 \left(1.0075\right)^8 \approx 200 \times 1.0617 \approx 212.34 ] Thus, the CD will be worth approximately $212.34 at maturity.


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Suppose you buy a CD for 200 that earns 3 APR and is compounded quarly. The CD matures in 2 years. how much will this BD be worth at maturity?

To calculate the future value of a CD with a principal of $200, an annual percentage rate (APR) of 3%, and quarterly compounding over 2 years, you can use the formula for compound interest: [ A = P \left(1 + \frac{r}{n}\right)^{nt} ] Where: ( P = 200 ) (principal) ( r = 0.03 ) (annual interest rate) ( n = 4 ) (number of compounding periods per year) ( t = 2 ) (time in years) Plugging in the values: [ A = 200 \left(1 + \frac{0.03}{4}\right)^{4 \times 2} ] [ A = 200 \left(1 + 0.0075\right)^8 ] [ A = 200 \left(1.0075\right)^8 \approx 200 \times 1.0617 \approx 212.34 ] Thus, the CD will be worth approximately $212.34 at maturity.


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