$MathMaster logo$

MathMaster

Home
general
calculate the initial amount that ms hortensia must deposit in a bank account if at the end of the 4 year term she wants t

Question

Calculate the initial amount that Ms. Hortensia must deposit in a bank account, if at the end of the 4-year term she wants to receive $450,000 Pesos, if the savings give her a rate of return of 10.20% with monthly capitalization:

95

likes

475 views

Answer to a math question Calculate the initial amount that Ms. Hortensia must deposit in a bank account, if at the end of the 4-year term she wants to receive $450,000 Pesos, if the savings give her a rate of return of 10.20% with monthly capitalization:

$Expert avatar$

4.9

87 Answers

FV = PV (1 + r/n)^{nt}

1. Substitute the given values into the formula:

450,000 = PV (1 + 0.102/12)^{12 \cdot 4}

2. Calculate the monthly interest rate:

0.102/12 = 0.0085

3. Calculate the number of compounding periods:

12 \cdot 4 = 48

4. Plug these values into the equation:

450,000 = PV (1 + 0.0085)^{48}

5.

PV\approx299,756.90\text{Pesos}

Frequently asked questions (FAQs)

Find the limit of (sin(x))/x as x approaches 0.

+

What is the variance of a set of 50 numbers: 25, 30, 35, 40, and 45?

+

Math Question: What are the possible integer solutions for the equation x^n + y^n = z^n (where x, y, z and n > 2) according to Fermat's Theorem?

+

New questions in Mathematics

Solution to the equation y'' - y' - 6y = 0

Exercise 4 - the line (AC) is perpendicular to the line (AB) - the line (EB) is perpendicular to the line (AB) - the lines (AE) and (BC) intersect at D - AC = 2.4 cm; BD = 2.5 cm: DC = 1.5 cm Determine the area of triangle ABE.

Using the integration by parts method, calculate the integral of [x².ln(1/x)]dx: x 4 /4 x³/6 x 4 /8 x³/3 x 4 /6

The equation of the circle that passes through (5,3) and is tangent to the abscissa axis at x=2 is a.(x-2)^2 (y 3)^2 = 9 b.(x-2)^2 (y-3)^2 = 9 c.(x-2)^2 (y-3)^2 = 4 d.(x-2)^2 (y 1)^2 = 4 e.(x-2)^2 (y-1)^2 = 4

Sean must chose a 6- digit PIN number for his online banking account.Each digit can be chosen from 0 to 9. How many different possible PIN numbers can sean chose.

If the midpoint of point A on the x=3 line and point B on the y=-2 line is C(-2,0), what is the sum of the ordinate of point A and the abscissa of point B?

A warehouse employs 23 workers on first shift, 19 workers on second shift, and 12 workers on third shift. Eight workers are chosen at random to be interviewed about the work environment. Find the probability of choosing exactly five first -shift workers.

28 is 92 percent of what?

Given (3x+2)E [2;14] how much money (in soles) does Sophia have if numerically it is the greatest value of x?

TEST 123123+1236ttttt

Two minus log 3X equals log (X over 12)

The population of Pittsburgh, Pennsylvania, fell from 520,117 in 1970 to 305,704 in 2010. Write an exponential function P(t) modeling the population t years after 1970. Round the growth factor to the nearest tem thousandth.

Solve equations by equalization method X-8=-2y 2x+y=7

A cell phone company offers two calling plans. Plan A: $20 per month plus 5 cents for each minute, or Plan B: $30 per month plus 3 cents for each minute. [2] Write an equation to describe the monthly cost (a) C (in $) in terms of the time m (in minutes) of phone calls when Plan A is applied.

factor the polynomial completely over the set of complex numbers b(x)=x^4-2x^3-17x^2+4x+30

Consider mixing 150 ml, 0.1M, HCI with 100 ml, 0.2M, KOH solution. Determine the pH of final solution.

the product of a 2-digit number and a 3-digit number is about 50000, what are these numbers

Determine the general solution of the equation y′+y=e−x .