Question

2.- Cristina wishes to make a deposit of $50,000 in a financial institution, in order to continue making ten additional deposits every six months for an identical amount, where the first of them will be made within six months. If the financial institution offers and pays 10% every six months, how much will Cristina withdraw six months after the last deposit?

52

likes
262 views

Answer to a math question 2.- Cristina wishes to make a deposit of $50,000 in a financial institution, in order to continue making ten additional deposits every six months for an identical amount, where the first of them will be made within six months. If the financial institution offers and pays 10% every six months, how much will Cristina withdraw six months after the last deposit?

Expert avatar
Rasheed
4.7
110 Answers
To find out how much Cristina will withdraw six months after the last deposit, we need to calculate the future value of all deposits first.

The formula to calculate the future value of an ordinary annuity is:
FV = P \times \left( \dfrac{(1 + r)^n - 1}{r} \right)
where:
- FV is the future value of the annuity
- P is the amount of each deposit
- r is the interest rate per period
- n is the total number of periods

Given:
- P = $50,000
- r = 10\% = 0.10 (interest rate per six months)
- n = 20 (10 deposits every six months for a total of 20 periods)

Plugging in the values, we get:
FV = $50,000 \times \left( \dfrac{(1 + 0.10)^{20} - 1}{0.10} \right)
FV = $50,000 \times \left( \dfrac{(1.10)^{20} - 1}{0.10} \right)

Now, we calculate the future value:
FV = $50,000 \times \left( \dfrac{6.727499 - 1}{0.10} \right)
FV = $50,000 \times 57.27499
FV = $2,863,749.50

Therefore, Cristina will be able to withdraw $2,863,749.50 six months after the last deposit.

\boxed{Answer: $2,863,749.50}

Frequently asked questions (FAQs)
What is the probability of getting exactly 3 headsout of 5 coin tosses?
+
Math question: "Factorize the expression 3x^2 - 12x + 9 using the distributive property.
+
How many ways can 5 people be arranged in a line? (Permutations)
+
New questions in Mathematics
How much volume of water in MegaLiters (ML) is required to irrigate 30 Hectare crop area with depth of 20mm?
what is 3% of 105?
For a temperature range between -3 degrees Celsius to 5 degrees Celsius, what is the temperature range in degrees Farenheight
5 people can complete a task in 72 hours. How many people are needed to complete the task in 60 hours.
2.5 / 21.85
Which of the following is the product of multiplying twenty-seven and twenty-five hundredths by nine and twenty-seven hundredths?
The sum of two numbers is equal to 58 and the largest exceeds by at least 12. Find the two numbers
(5y 9)-(y 7)
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?
Equine infectious anemia (EIA) is considered the main infectious disease in Brazilian equine farming, for which there is no effective vaccine or treatment. It is caused by a retrovirus of the genus Lentivirus, which affects horses, donkeys and mules and is transmitted in nature mainly by hematophagous insects of the genus Tabanidae. Researchers analyzed the records of 9,439 equids from Acre, submitted to the agar gel immunodiffusion test (AGID) for equine infectious anemia (EIA), between 1986 and 1996. Of these, 6199 tested positive for equine infectious anemia (EIA) . Knowing that the age of AIE-positive horses follows a Normal distribution with a mean of 5 years and a standard deviation of 1.5 years, determine the expected number of AIE-positive horses in the Acre sample that will be aged less than or equal to 3 years. ATTENTION: Provide the answer to exactly FOUR decimal places.
User The average height of Aranka, Böske, Cili, Delinke and Lili is 172 cm. We know that Aranka and Cili are both 172 cm tall. The sum of the heights of Böské and Delinke is 336 cm. How tall is Lili?
A storage maker price is $2.50 per square feet. Find the price of a custom shed 4 yards long, and 5yards wide and 8 feet tall
Use a pattern to prove that (-2)-(-3)=1
Fill in the P(X-x) values to give a legitimate probability distribution for the discrete random variable X, whose possible values are -5 ,3 , 4, 5 , and 6.
Take the limit of (sin(x-4))/(tan(x^2 - 16) as x approaches 4.
How to convert 45 kg into grams
A house located within the city limits has a current market value of $325,000 according to a recent appraisal. The assessed value from the last county wide tax valuation is $272,475. The tax rate is $0.36 per hundred for the county and $0.72 per hundred for the city. What is the total annual property tax liability on the property? $2340 $3510 $1962 $2943
Write an expression using compatible numbers that can be used to estimate the quotient 629\86
Find the set of points formed by the expression 𝜋<|𝑧−4+2𝑖|<3𝜋.
Find the rule that connects the first number to the second number of each pair. Apply the rule to find the missing number in the third pair. (18 is to 22) (54 is to 26) (9 is to ?)