The present value Pis the investment that is required today to yield a future value of B. If interest is compounded continuously at an APR of r, as a decimal, then the present value for an investment that will yield B future dollars after t years is given by P- Be"rt dollars. (a) Write a formula for the present value as a function time if the APR is 7% and the future value is B = 7000 dollars. P(t) = (b) Make a graph of the function you found in part (a). Use a horizontal span of 0 to 25 years. P P P 6000 6000 6000- 6000 4000 4000 4000 4000- 2000 2000 2000 2000- 5 10 15 20 25 5 10 15 20 25 10 15 20 25 10 15 20 25 (c) Does a small change in time have a greater effect on the present value at 1 year in the future or at 10 years in the future? A small change in time has a greater effect on the present value at --Select-- v in the future.

Q: A doll sold for $228 in 1975 and was sold again in 1990 for $401. Assume that the growth in the…

A: exponential model of growth P =P0ektwhere P = price at time t P0 = initial price k = growth factor t…

Q: look at attachment need for reference

A:

Q: the present value for a $100,000 investment for 18 years at a compounded continuously at 2.1%

A:

Q: Find the time required for an investment of 5000 dollars to grow to 8600 dollars at an interest rate…

A: Solution:-

Q: Find the time required for an investment of 7,000 dollars to grow to 14,000 dollars at an interest…

A: Given: Principal = $7000 Amount = $14000 Interest = 8% compounded monthly Formula used: A=P1+rnnt…

Q: A bank features a savings account that has an annual percentage rate of r = 3.4% with interest…

A: Read the definition of each variable and you will get the answers in the question itself. Substitute…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.