$MathMaster logo$

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 result of adding 35, multiplying it by 8, subtracting 215, and then dividing by 5?

+

Question: What is the maximum value of f(x) = 3x^2 - 2x + 5 over the interval [0, 1]?

+

Math Question: What is the probability of drawing a heart from a standard deck of 52 playing cards?

+

New questions in Mathematics

a ferry travels 1/6 of the distance between two ports in 3/7 hour. The ferry travels at a constant rate. At this rate, what fraction of the distance between the two ports can the ferry travel in one hour.

How do you think the company has increased or decreased its income?

The data set (75, 85, 58, 72, 70, 75) is a random sample from the normal distribution No(µ, σ). Determine a 95% two-sided confidence interval for the mean µ .

-3x 2y = -6; -5x 10y = 30

To celebrate the five-year anniversary of a consultancy specializing in information technology, the administrator decided to draw 3 different qualification courses among its 10 employees. Considering that the same employee cannot be drawn more than once, the total number of different ways of drawing among employees is:

A National Solidarity Bond offers A 5 year bond offering a gross return of 15% Calculate the AER for this investment. (Give your answer to two decimal places, no need for the percent or € sign in your answer)

There are 162 students enrolled in the basic mathematics course. If the number of women is 8 times the number of men, how many women are there in the basic mathematics course?

solve for x 50x+ 120 (176-x)= 17340

Lim x → 0 (2x ^ 3 - 10x ^ 7) / 5 * x ^ 3 - 4x )=2

If A and B are any events, the property that is not always true is: a) 0 ≤ 𝑃(𝐴 ∩ 𝐵) ≤ 1 b) 𝑃(Ω) = 1 c) 𝑃(𝐵) = 1 − 𝑃(𝐵𝑐) d) 𝑃(∅) = 0 e) 𝑃(𝐴 ∪ 𝐵) = 𝑃(𝐴) + 𝑃(𝐵)

If X1 and X2 are independent standard normal variables, find P(X1^2 + X2^2 > 2.41)

There are 3 orchards, a, b and c. Orchard a has 60 fewer trees than orchard b orchard c has 3 times as many trees as orchard b. If the three orchards have 430 trees altogether, how many trees does orchard c have?

Find each coefficient described. Coefficient of u^2 in expansion of (u - 3)^3

Calculate the difference between 407 and 27

48 kg of 30% sulfuric acid in a mixture of 10% and 40% sulfuric acid arose. How many kilograms were each of the original solutions?

a) Statistics scores are normally distributed with the mean of 75 and standard deviation of 7. What is the probability that a student scores between 80 and 88

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?

A group of 17 people spent 9 days on vacation and spent R$776.34 on barbecue meat and the bill needs to be divided as follows: 6 people stayed for 9 days, 7 people stayed for 4 days, and 2 people stayed for 5 days and 2 people stayed 3 days, how much does each group have to pay for the days they stayed?

Select a variable and collect at least 50 data values. For example, you may ask the students in the college how many hours they study per week or how old they are, etc. a. Explain what your target population was. b. State how the sample was selected. c. Summarise the data by using a frequency table. d. Calculate all the descriptive measures for the data and describe the data set using the measures. e. Present the data in an appropriate way. f. Write a paragraph summarizing the data.

Write decimal as the fraction 81/125 simplified