Question

If an investment is made in a banking entity for an initial amount of 822,000.00 colones in 6 quarters, which obtains an annual return of 11%, but after that period it is decided to carry out a new one investment for 350,000.00 colones additional to the total received from the first investment with a new rate of interest, for 1500 days at a rate of 13%. What amount do you receive at the end of the period in its entirety?

128

likes
641 views

Answer to a math question If an investment is made in a banking entity for an initial amount of 822,000.00 colones in 6 quarters, which obtains an annual return of 11%, but after that period it is decided to carry out a new one investment for 350,000.00 colones additional to the total received from the first investment with a new rate of interest, for 1500 days at a rate of 13%. What amount do you receive at the end of the period in its entirety?

Expert avatar
Nash
4.9
87 Answers
1. Calculate the future value of the initial investment after 6 quarters with an annual return of 11%:
- The formula for future value is given by A = P \left(1 + \frac{r}{n}\right)^{nt}
- Here, P = 822,000 \, \text{colones} , r = 0.11 , n = 4 (since interest is quarterly), and t = 1.5 years (since 6 quarters = 1.5 years).
- Substitute the values:
A_1 = 822,000 \left(1 + \frac{0.11}{4}\right)^{4 \times 1.5}
A_1 = 822,000 \left(1 + 0.0275\right)^{6}
A_1 = 822,000 \times 1.171958
A_1 = 963,647.076

2. Calculate the future value of the new investment (initial total from step 1 + additional investment) after 1500 days at a rate of 13%:
- Convert 1500 days to years: t = \frac{1500}{365} years.
- Additional investment: 350,000 colones.
- New principal P_2 = A_1 + 350,000
P_2 = 963,647.076 + 350,000
P_2 = 1,313,647.076 colones.
- Annual interest rate r = 0.13 .
- Substitute the values in the future value formula:
A_2 = P_2 \left(1 + r\right)^t
A_2 = 1,313,647.076 \left(1 + 0.13\right)^{\frac{1500}{365}}
A_2 = 1,313,647.076 \times 1.529152
A_2 = 2,297,473.701

3. The total amount received at the end of the period is 2,297,473.701 colones.

Frequently asked questions (FAQs)
Math question: Find the vertex of the parabola represented by the equation 𝑦 = 3π‘₯^2 + 2π‘₯ - 1. (
+
Math Question: What is the limit as x approaches infinity of (e^x - 1) / x ?
+
What is the value of √(36) + √(49) + √(64) - √(81) + √(100)?
+
New questions in Mathematics
A normal random variable x has a mean of 50 and a standard deviation of 10. Would it be unusual to see the value x = 0? Explain your answer.
Solution to the equation y'' - y' - 6y = 0
-11+29-18
what is 3% of 105?
3(4x-1)-2(x+3)=7(x-1)+2
What will be the density of a fluid whose volume is 130 cubic meters contains 16 technical units of mass? If required Consider g=10 m/s2
9b^2-6b-5
Emma is on a 50 m high bridge and sees two boats anchored below. From her position, boat A has a bearing of 230Β° and boat B has a bearing of 120Β°. Emma estimates the angles of depression to be about 38Β° for boat A and 35Β° for boat B. How far apart are the boats to the nearest meter?
determine the polynomial F of degree 2 that interpolates. f at points (0;1) (2;5) (4;6). calculate F(0.8). Note: Using the polynomial expression with difference operator.
The ninth term of a given geometric progression, with reason q , is 1792, and its fourth term is 56. Thus, calculate the fourth term of another geometric progression, whose ratio is q +1 and whose first term is equal to the first term of the first P.G. described.
The two sides of the triangle are 12 cm and 5 cm, and the angle between the sides is 60Β°. Cover the area of ​​the triangle!
Find the zero of the linear function 8x + 24 = 0
A natural gas company has a fixed rate of 1,320 pesos plus 1,590 pesos per cubic meter of gas consumed monthly per customer. Indicate the cost function to determine the value in pesos of the cubic meters of gas consumed in a month per customer. How much did a customer who consumed 18 cubic meters of gas pay? If a customer paid 34,710 pesos, how many cubic meters of gas did he consume?
Find the area of a triangle ABC when m<C = 14 degrees, a = 5.7 miles, and b = 9.3 miles.
Solve for B write your answer as a fraction or as a whole number. B-1/7=4
2+2020202
did an analysis of dropout from the nursing faculty at the Universidad Veracruzana. With a poblation of 122 students, it turned out that according to the gender data, the female sex predominates with 82%, and the male sex male is found with 12%. The main factors why students drop out are, first of all, "Not "re-enrolled" at 49%, second place "Personal reasons" at 20%, third place "change of school" in 11%, "lack of documents" and "economic reasons" in 7%, change of residence and lack of social service in 3%. Of this sample, how many students dropped out for other reasons?
Find the orthogonal projection of a point A = (1, 2, -1) onto a line passing through the points Pi = (0, 1, 1) and P2 = (1, 2, 3).
x(squared) -8x=0
To apply a diagnostic test, in how many ways can 14 students be chosen out of 25? if the order does not matter