If one wishes to compute the future value with the incorporation of continuous interest, the formula FV = PV * e^(rt) can be utilized. Here, FV denotes the future value, PV stands for the present value, e symbolizes the base of the natural logarithm (roughly 2.71828), r corresponds to the annual interest rate, while t represents the time duration in years.
| Topic | Problem | Solution |
|---|---|---|
| None | Connor has made deposits of $\$ 85.00$ into his s… | Let's denote the total amount in the account after 14 years as \(A1\) and the total amount in the a… |
| None | To attend school, Chloe deposits $\$ 400$ at the … | Calculate the interest rate per quarter by dividing the annual interest rate by 4: \(\frac{0.08}{4}… |
| None | How much will deposits of $240 made at the end of… | Translate the given problem into the formula for the future value of an ordinary annuity: \(FV = P … |
| None | A man deposits $\$ 18,000$ at the beginning of ea… | For the first 10 years, the man deposits $18,000$ at the beginning of each year in an account payin… |
| None | 2. (10 pts) For ten years, you deposit $\$ 700$ e… | Given that you deposit $700 every month for 10 years in an account paying 5.4% annual interest comp… |
| None | Deposits of $\$ 75.00$ are made at the end of eve… | The problem is asking for the future value of a series of equal deposits (an annuity) made at the e… |
| None | To purchase a specialty guitar for his band, for … | Define the variables: the monthly payment P is $87, the annual interest rate for the first three ye… |
| None | Starting at age 50 , a woman puts $\$ 1400$ at th… | First, we need to calculate the amount in the retirement account when the woman reaches age 60. She… |
| None | a. Use the appropriate formula to find the value … | Given the periodic deposit (P) is $120, the annual interest rate (r) is 4.5% or 0.045 in decimal fo… |
| None | Obuor, a level 100 student at University of Ghana… | Let's denote the principal amount as \(P\), which is Ghc5000. |
| None | A demand loan for $\$ 4600.45$ with interest at $… | Given a demand loan for $4600.45 with an interest rate of 4.8% compounded semi-annually, we are ask… |
| None | FUTURE VALUE It is now January 1, 2018. Today you… | Calculate the future value with annual compounding: FV_a = PV_a * (1 + r_a/n_a)^(n_a*t_a) = 1000 * … |
| None | QUESTION 1 Find the compound amount for the depos… | \( A=P\left(1+\frac{r}{n}\right)^{n t}\) |