Find the time required for an investment of 5000 dollars to grow to 7800 dollars at an interest rate of 7.5 percent per year, compounded quarterly. Your answer is \( t=\square \) years.

As part of the future planning, Rizal Motel would like to buy a new machine 5 years from now, The cost of new machine is RM 100,000 . If Rizal saves RM60,000 in the financial Institution with \( 12 \% \) interest rate per annum, would it be sufficient to purchase the new machine? What is the minimum amount Rizal must save now if he wants to buy the new machine in 5 years?

Una deuda de \( \$ 10,000 \) contraída el 1 de enero de 2005 será pagada por medio de pagos mensuales vencidos. El primer pago será de \( \$ 1,000 \), el segundo de \( \$ 900 \), el tercero de \( \$ 800 \), el cuarto de \( \$ 700 \), el quinto de \( \$ 600 \) y del sexto en adelante de \( \$ 500 \) cada uno, durante el tiempo que sea necesario, con un pago final menor un mes después del último pago regular. Encuentre la fecha y monto del pago menor final si se usa una tasa \( i^{(12)}=0.12 \).

7.2 Inimitable Academy bought office furniture that cost R150 000 . What is the value of the furniture after 5 years if the rate of depreciation is \( 12,4 \% \) p.a, using reducing balance method. 7.3 Andrew plans to save R20 000 for a deposit on a new car. He decided to use a part of his annual bonus to pay three equal annual deposits into a savings account at the beginning of every year. Calculate how much money he must deposit to save up R20 000 after three years. Interest on the savings account is \( 8 \% \) p.a. compounded monthly. Nicole invests R50 000 into a saving account and four years later another R15000 is added to the investment. The interest rate for the first three years is \( 10 \% \) per annum, compounded monthly and then changes to \( 12,5 \% \) per annum, compounded quarterly. Calculate the value of the investment after six years.

An investment of \( \$ 103,000 \) was made by a business club. The investment was split into three parts and lasted for one yea Total interest from the investments was \( \$ 8070 \). The interest from the first investment was 6 times the interest from the sect The first part of the investment was \( \$ \square \). The second part of the investment was \( \$ \square \). The third part of the investment was \( \$ \square \).

5.-Un inversor coloca 40000 € al \( 4,5 \% \) de interés compuesto anual durante 3 años, ¿Qué capital retiraráal cabo de dicho periodo?