[填空题]
Nathan receives a lumr;k/4 6i0keda ,v+dhfuc 1pljph)e)pp-l g tk5g s)t9q sum inheritance of 55000 and invests the money into a savings account with an annual interest rate of 7.5%, compounded quarterg5 tp)kh pg-9les) t)qly.
1.Calculate the value of Nathan's investment after 5 years, rounding your answer to the nearest dollar.3After m months, the amount in the savings account has increased to more than 70000.
FV= .
2.Find the minimum value of m, where m∈N.
m= months.
Nathan is saving to purchase a property. The price of the property is 150000. Nathan puts down a 15% deposit and takes out a loan for the remaining amount.
3.Write down the loan amount.
The loan duration is for eight years, compounded monthly, with equal monthly payments of 1500 made by Nathan at the end of each month.
Loan amount= .
4.For this loan,
4.1.findthe amount of interest paid by Nathan over the life of the loan.
Interst paid= .
4.2.the annual interest rate of the loan, correct to two decimal places.
The annual interest rate of the loan is %
After 5 years of paying this loan, Nathan decides to pay the outstanding loan amount in one final payment.
5.Find the amount of the final payment after 5 years, rounding your answer to the nearest dollar.
The final payment after 5 years is(≈) .
6.Find the amount Nathan saved by making this final payment after 5 years, rounding your answer to the nearest dollar.
Amount saved= .
