$MathMaster logo$

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 value of the adjacent side when the hypotenuse is 10 units and the angle is 30 degrees?

+

What is the diagonals length of a square with side length s, using the Pythagorean theorem?

+

What is the smallest positive integer value of x that satisfies the equation x^4 + y^4 = z^4, according to Fermat’s Theorem?

+

New questions in Mathematics

A person who weighs 200 pounds on earth would weigh about 32 pounds on the moon. Find the weight of a person on earth who would weigh 15 pounds on the moon.

A brass cube with an edge of 3 cm at 40 °C increased its volume to 27.12 cm3. What is the final temperature that achieves this increase?

In a store there are packets of chocolate, strawberry, tutti-frutti, lemon, grape and banana sweets. If a person needs to choose 4 flavors of candy from those available, how many ways can they make that choice?

What is the r.p.m. required to drill a 13/16" hole in mild steel if the cutting speed is 100 feet per minute?

find x in the equation 2x-4=6

I need to know what 20% or £3292.75

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

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?

You are the newly appointed transport manager for Super Trucking (Pty) Ltd, which operates as a logistics service provider for various industries throughout southern Africa. One of these vehicles is a 4x2 Rigid Truck and drawbar trailer that covers 48,000 km per year. Use the assumptions below to answer the following questions (show all calculations): Overheads R 176,200 Cost of capital (% of purchase price per annum) 11.25% Annual License Fees—Truck R 16,100 Driver Monthly cost R 18,700 Assistant Monthly cost R 10,500 Purchase price: - Truck R 1,130,000 Depreciation: straight line method Truck residual value 25% Truck economic life (years) 5 Purchase price: Trailer R 370,000 Tyre usage and cost (c/km) 127 Trailer residual value 0% Trailer economic life (years) 10 Annual License Fees—Trailer R 7,700 Fuel consumption (liters/100km) 22 Fuel price (c/liter) 2053 Insurance (% of cost price) 7.5% Maintenance cost (c/km) 105 Distance travelled per year (km) 48000 Truck (tyres) 6 Trailer (tyres) 8 New tyre price (each) R 13,400 Lubricants (% of fuel cost) 2.5% Working weeks 50 Working days 5 days / week Profit margin 25% VAT 15% Q1. Calculate the annual total vehicle costs (TVC)

Use a pattern to prove that (-2)-(-3)=1

9 x² + 2x + 1 = 0

Determine a general formula (or formulas) for the solution to the following equation. Then, determine the specific solutions (if any) on the interval [0,2π). cos30=0

What is the value of f(-3) for the function X squared+5x-8=

Calculate the change in internal energy of a gas that receives 16000 J of heat at constant pressure (1.3 atm) expanding from 0.100 m3 to 0.200 m3. Question 1Answer to. 7050J b. 2125J c. None of the above d. 2828J and. 10295 J

Solve for B write your answer as a fraction or as a whole number. B-1/7=4

7- A printing company found in its investigations that there were an average of 6 errors in 150-page prints. Based on this information, what is the probability of there being 48 errors in a 1200-page job?

Sally’s sales for last Sunday were $1,278. That was an increase of 6.5% over her sales for the previous Saturday. What were her sales for the previous Saturday?

Question 3 A square has a perimeter given by the algebraic expression 24x – 16. Write the algebraic expression that represents one of its sides.