1. What is the present value of $3780 due in nine months if the simple interest rate is 5%? The present value is $? (Round the final answer to the nearest cent as needed. Round all intermediate values to six decimal places as needed.) 2. For a sum of money invested at 6.9% compounded quarterly for 12 years state the following values. (a) the number of compounding periods (b) the periodic rate of interest (c) the compounding factor (1+i)^n (d) the numerical value of the compounding factor (Type an integer or a decimal.) 3. An investment of $4778.15 earns interest at 7.8% per annum compounded quarterly for 3 years. At that time the interest rate was changed to 4.3% compounded annually. How much will the accumulated value be 4.5 years after the change? The accumulated value is $? (Round the final answer to the nearest cent as needed. Round all intermediate values to six decimal places as needed.) 4. Sheridan Service has a line of credit loan with the bank. The initial loan balance was $9000.00. Payments of $3500.00 and $4500.00 were made after five months and eight months respectively. At the end of one year, Sheridan Service borrowed an additional $5000.00. Nine months later, the line of credit loan was converted into a collateral mortgage loan. What was the amount of the mortgage loan if the line of credit interest was 5% compounded monthly? The amount of the loan is $? (Round the final answer to the nearest cent as needed. Round all intermediate values to six decimal places as needed.) 5. Find the future value of the following investment. Nominal Frequency of Principal Rate Conversion Time $2820.00 4.7% semi-annually 4 years The future value is $? (Round the final answer to the nearest cent as needed. Round all intermediate values to six decimal places as needed.) 6. Find the future value of and the compound interest on $800 invested at 5.9% compounded semi-annually for parts (a) through (c). (a) 5.5 years (b) 9 years (c) 13.5 years (Round the final answer to the nearest cent as needed. Round all intermediate values to six decimal places as needed.)