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)
What is the sine of an angle in a right triangle if the opposite side measures 4 cm and the hypotenuse measures 6 cm?
+
Math question: Find the factors of 72 using the factoring formula.
+
Math Question: Distribute and factor: 2(3x - 5) - 3(4x + 2)
+
New questions in Mathematics
What is the coefficient of elasticity of the material that must be placed on the heel of the 10 cm high clog, with a base area of 2 cm² so that it deforms only 2 cm when the force on it will be a maximum of 600 N.
what is 9% of 307
If L = (-2, -5) is reflected across y= -4 , what are the coordinates of L?
6. Among 100 of products there are 20 rejects. We will randomly select 10 of products. The random variable X indicates the number of rejects among the selected products. Determine its distribution.
Suppose X has a Poisson distribution, with a mean of 0.4. Determine the probability that x is at most 2.
A force of 750 pounds compresses a spring 3 inches from its natural length, which is 15 inches. What will be the work done to compress it 3 inches more?
12(3+7)-5
Find all real numbers x that satisfy the equation \sqrt{x^2-2}=\sqrt{3-x}
The sum of two numbers is 144. Double the first number minus thrice the second number is equal to 63. Determine the first two numbers.
The price per night of a suite at the Baglioni Hotel in Venice is 1896 euros, VAT included. The VAT in Italy is 25%. The hotel gets a return of 10% out of the price VAT included. b) What is the profit value made by the hotel for one
A box of numbered pens has 12 red, 12 blue, 12 green and 12 yellow pens. The pens for each colour are numbered from 1 to 12. There is a unique number on each pen, so no pen is exactly the same as any other pen in the box. When reaching into the box to randomly draw five pens without replacement, what is the proportion of getting exactly four pens of the same colour (Note: the numbers matter but the order does not)?
3/9*4/8=
Two minus log 3X equals log (X over 12)
Express the trigonometric form of the complex z = -1 + i.
We have received our p&l statement back from accounts. The board has asked for an innovation hub. What items should we prioritise reviewing to decide if we can afford an innovation hub?
Give an example of a function defined in R that is continuous in all points, except in the set Z of integers.
P 13. Let P a point inside of a square ABCD. Show that the perpendicular lines drawn from A, B, C, respectively D, to BP, CP, DP, respectively AP are concurrent. Use geometric rotation.
y′ = 2x + 3y x′ = 7x − 4y x(0) = 2 y(0) = −1 sisteminin ¸c¨oz¨um¨un¨u bulunuz. (Lineer Denk. Sis.)
The domain of the function f(x)=x+7x2−144 is (−∞,), ( ,), and ( , ∞).
Construct a set of six pieces of data with​ mean, median, and midrange of 67 and where no two pieces of data are the same.

You might be interested in