how much money would have to be invested in an account at 3.98% annual interset to achieve a balance of 25,000 in 17 years if

a. The account pays simple interest
b. the account compound interest qrtly
c. the account compounds interest continuously

a)

solve for x, the original amount

x + 17(.0398)x = 25000

b)
i = .0398/4 = .00995

x(1.00995)^68 = 25000
x = 25000/(1.00995^68) = .......

c)

25000 = x (e^(.0398(17))
x = ...

mujhe simple interest ka method samajh nahi ataa. question-a some of money double itself 10 year the number of year it wood trebles itself is.........

To find the amount of money that needs to be invested in each scenario, you can use the following formulas:

a. Simple Interest:
The formula for calculating simple interest is:
I = P * r * t
Where:
I = Interest
P = Principal amount (the initial investment)
r = Annual interest rate (expressed as a decimal)
t = Time period in years

To achieve a balance of $25,000 in 17 years, substitute the given information into the formula and solve for P:

25,000 = P * 0.0398 * 17

b. Quarterly Compounding:
The formula for calculating compound interest with quarterly compounding is:
A = P * (1 + r/n)^(n*t)
Where:
A = Final amount (desired balance)
P = Principal amount (the initial investment)
r = Annual interest rate (expressed as a decimal)
n = Compounding frequency per year
t = Time period in years

To achieve a balance of $25,000 in 17 years, substitute the given information into the formula, set A = $25,000, and solve for P:

25,000 = P * (1 + 0.0398/4)^(4*17)

c. Continuous Compounding:
The formula for calculating compound interest with continuous compounding is:
A = P * e^(r*t)
Where:
A = Final amount (desired balance)
P = Principal amount (the initial investment)
r = Annual interest rate (expressed as a decimal)
t = Time period in years
e = Euler's number, approximately 2.718

To achieve a balance of $25,000 in 17 years, substitute the given information into the formula, set A = $25,000, and solve for P:

25,000 = P * e^(0.0398*17)

By solving these equations, you can find out the amount of money that needs to be invested in each scenario to achieve a balance of $25,000 in 17 years.