MathMaster logo

MathMaster

  1. Home
  2. general
  3. 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
Jon
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)
Question: In how many ways can you arrange 5 books on a shelf if 2 of them must always be together?
+
What is the measure of the missing angle in a right triangle with angles measuring 30° and 90°?
+
What is the derivative of f(g(h(x))) with respect to x, where f, g, and h are functions?
+
New questions in Mathematics
A normally distributed population has a mean of 118 with a standard deviation of 18. What score separates the lowest 72% of the distribution from the rest of the scores?
What payment 7 months from now would be equivalent in value to a $3,300 payment due 23 months from now? The value of money is 2.7% simple interest. Round your answer to 2 decimal places. Show all work and how you arrive at the answer..
7273736363-8
what is the annual rate on ​$525 at 0.046​% per day for 3 months?
4x-3y=5;x+2y=4
7/6-(-1/9)
The durability of a tire of a certain brand is a Normal random variable with an average of 64,000 km and a standard deviation of 9,000 km. Assuming independence between tires, what is the probability that the 4 tires on a car will last more than 58,000 km?
show step by step simplification: (¬𝑑∨((¬b∧c)∨(b∧¬c)))∧((𝑎 ∧ 𝑏) ∨ (¬𝑎 ∧ ¬𝑏))∧(¬𝑐∨((¬𝑑∧𝑎)∨(𝑑∧¬𝑎)))
John he’s going to the carnival with his friends. He spends $25 on an admission ticket. He buys 10 games at X dollars each and two boxes of popcorn at Y dollars each. Write an expression to show the total cost of admission game, tickets and popcorn.
The two sides of the triangle are 12 cm and 5 cm, and the angle between the sides is 60°. Cover the area of ​​the triangle!
1. A capital of $3,831 was lent, and it has produced interest of $840 from 05-12-2022 to 1-12-2023. At what annual simple interest rate was the capital lent?
Two particles of electrical charges Q1=3.8×10-⁶C and q,=4.4×10-⁶C are separated in vacuum by a distance of 4.0.10-⁸ m. Since K=9.0.10⁹ N.m²/C², the intensity of the interaction force between them, in newtons, is?
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 20,000 kg school bus is moving at 30 km per hour on a straight road. At that moment, it applies the brakes until it comes to a complete stop after 15 seconds. Calculate the acceleration and the force acting on the body.
What is the total amount due and the amount of interest on a 3-year loan of $1,000 at a simple interest rate of 12% per year?
If sin A=0.3 and cos A=0.6, determine the value of tan A.
x²-7x+12=0
9n + 7(-8 + 4k) use k=2 and n=3
12[4 + (8 + 7) + 5]
Mark is gluing a ribbon around the sides of a picture frame. The frame is 11 inches long and 7 includes wide. How much ribbon does Mark need?

You might be interested in