$MathMaster logo$

MathMaster

Home
general
calculate the final amount as of september 15 2024 of an investment that laura made and that experienced the following cha

Question

Calculate the final amount as of September 15, 2024, of an investment that Laura made and that experienced the following changes during its validity: Laura made an initial deposit of $150,000 on February 5, 2021, into the "Caja de Inversiones Futuro Seguro" (Secure Future Investment Fund) that offered 10.5% annual interest compounded every quarter. The money remained invested for 500 days, until June 20, 2022. On June 20, 2022, Laura added an additional $50,000 to the same account, and the interest rate was adjusted to 7.5% per year compounded quarterly. The total amount will remain invested for 818 days, until September 15, 2024. a) How much will be the total amount you will receive upon maturity of your investment? Use the calendar year to perform your calculations.

98

likes

489 views

Answer to a math question Calculate the final amount as of September 15, 2024, of an investment that Laura made and that experienced the following changes during its validity: Laura made an initial deposit of $150,000 on February 5, 2021, into the "Caja de Inversiones Futuro Seguro" (Secure Future Investment Fund) that offered 10.5% annual interest compounded every quarter. The money remained invested for 500 days, until June 20, 2022. On June 20, 2022, Laura added an additional $50,000 to the same account, and the interest rate was adjusted to 7.5% per year compounded quarterly. The total amount will remain invested for 818 days, until September 15, 2024. a) How much will be the total amount you will receive upon maturity of your investment? Use the calendar year to perform your calculations.

$Expert avatar$

4.6

110 Answers

t_1 = \frac{500}{365} \approx 1.3699

A_1 = 150,000 \left(1 + \frac{0.105}{4}\right)^{4 \times 1.3699} \approx 172,883.07

P_2 = 172,883.07 + 50,000 = 222,883.07

t_2 = \frac{818}{365} \approx 2.2411

A_2 = 222,883.07 \left(1 + \frac{0.075}{4}\right)^{4 \times 2.2411} \approx 263,268.16

Answer:

A_2 \approx 263,268.16

Frequently asked questions (FAQs)

What is the length of the side opposite angle A in a triangle with side lengths 5, 7, and 10?

+

What is the value of x in the equation 5x - 7 = 23?

+

What is the relationship between the characteristics of exponential function f(x) = 10^x and f(x) = e^x? (

+

New questions in Mathematics

Simplify the expression sin³(x)+cos³(x), using trigonometric functions

Let the vectors be u=(-1,0,2) , v=(0,2,-3) , w=(2,2,3) Calculate the following expressions a)<u,w> b) <2u- 5v,3w>

String x = 5 Int y=2 System.out.println(x+y)

For a temperature range between -3 degrees Celsius to 5 degrees Celsius, what is the temperature range in degrees Farenheight

The main cost of a 5 pound bag of shrimp is $47 with a variance of 36 if a sample of 43 bags of shrimp is randomly selected, what is the probability that the sample mean with differ from the true mean by less than $1.4

Identify a pattern in the list of numbers.Then use this pattern to find the next number. 37,31,25,19,13

Solve this mathematical problem if 3/5 of a roll of tape measures 2m. How long is the complete roll?

In a grocery store, when you take out 3 peppers and 4 carrots, there are 26 peppers and 46 carrots left. How many peppers and carrots were there initially?

What’s the slope of a tangent line at x=1 for f(x)=x2. We can find the slopes of a sequence of secant lines that get closer and closer to the tangent line. What we are working towards is the process of finding a “limit” which is a foundational topic of calculus.

Suppose that you use 4.29 g of Iron in the chemical reaction: 2Fe(s) + 3 Cu2 + (aq) 2Fe 3 + (aq) + 3Cu(s ) - . What is the theoretical yield of Cu (s), in grams?

Your boss asks you to plan the sample size for a randomized, double-blind, controlled trial in the clinical development of a cure for irritable bowl disease. Current standard treatment shall be compared with a new treatment in this trial. The S3-guideline of AWM demonstrated a mean change of the summary score of the validated health related quality of life questionnaire at 8 weeks of 16 with standard deviation 23 under standard treatment. You quote the drop-out rate of 11% from literature (previous phase of clinical development). Your research yielded a clinically important effect of 4 that has been found to be the Minimal Clinically Important Difference (MCID). In order to demonstrate superiority of the new treatment over standard of care, you assume that the change in of the summary score of the validated health related quality of life questionnaire follows a normal distribution, and that the standard deviation is the same for both treatments. How many patientes would one need to recruit for the trial to demonstrate the clinically interesting difference between treatments at significance level 5% with 95% power?

Estimate the quotient for 3.24 ÷ 82

9.25=2pi r solve for r

List five numbers that belong to the 5 (mod 6) numbers. Alternate phrasing, list five numbers that satisfy equation x = 5 (mod 6)

prove that for sets SS, AA, BB, and CC, where AA, BB, and CC are subsets of SS, the following equality holds: (A−B)−C=(A−C)−(B−C)

A membership to the gym cost $25 per person in 1995. The membership cost has increased by an average $6 per person for each year since 1995. Write a linear equation for the cost of a gym membership for one person since 1995. What is the cost of a gym membership in 2009?

What is the percentage of nitrogen abundance in copper dinatrate Cu(NO3)2

The perimeter of a rectangular rug is 42 feet. The width is 9 feet. What is the length?