Question

a messenger in a company collected an interest free loan of #93,000 from the company which should be withdrawn from his salary in 12 months if #5,000 is withdrawn from the 1st month and the amount to be withdrawn increase each month by equal amount of the preceeding month. How much will be withdrawn from his salary in the last month?

277

likes
1385 views

Answer to a math question a messenger in a company collected an interest free loan of #93,000 from the company which should be withdrawn from his salary in 12 months if #5,000 is withdrawn from the 1st month and the amount to be withdrawn increase each month by equal amount of the preceeding month. How much will be withdrawn from his salary in the last month?

Expert avatar
Birdie
4.5
103 Answers
To find out how much will be withdrawn from the messenger's salary in the last month, we need to calculate the increasing amount each month.

In this scenario, the amount to be withdrawn each month follows an arithmetic progression, with a common difference of #5,000.

To find the amount to be withdrawn in the last month, we need to find the 12th term of the arithmetic progression.

The formula to find the nth term of an arithmetic progression is given by:

a_n = a + (n - 1)d

Where:
- a is the first term of the progression
- n is the term number we are looking for
- d is the common difference

In this case:
- a = 5000 (first term, amount withdrawn from the 1st month)
- n = 12 (we are looking for the 12th month)
- d = 5000 (common difference, each month's amount increases by #5,000)

Substituting the values into the formula, we get:

a_{12} = 5000 + (12 - 1) \cdot 5000

Simplifying further:

a_{12} = 5000 + 11 \cdot 5000

a_{12} = 5000 + 55000

a_{12} = 60000

Therefore, #60,000 will be withdrawn from the messenger's salary in the last month.

Answer: \boxed{60000}.

Frequently asked questions (FAQs)
Math question: Solve for x: f(x) = 2x + 8. Calculate f(5) - f(2).
+
What are the factors of the equation (x^2 - 9)?
+
What is the length of the side opposite a 45Β° angle in a triangle with sides of length 8 and 10?
+
New questions in Mathematics
Using a remarkable product you must factor the expression: f(x) =36x^2-324 and you are entitled to 5 steps
The gross domestic product the gdp for the United States in 2017 was approximately $2.05x10^3. If you wrote this number in standard notation , it would be 205 followed by how many zeros
2.5 / 21.85
(5u + 6)-(3u+2)=
Solve this mathematical problem if 3/5 of a roll of tape measures 2m. How long is the complete roll?
Find the derivatives for y=X+1/X-1
78 percent to a decimal
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?
A test has 5 multiple choice questions. Each question has 4 alternatives, only one of which is correct. A student who did not study for the test randomly chooses one alternative for each question.(a) What is the probability of him getting a zero on the test?(b) What is the probability of him getting a three or more? The maximum mark for the test is 5, with each question worth one point.
calculate the area in square units of A rectangle with length 6cm and breadth 5cm
Use the power rule for logarithms to solve the following word problem exactly. If you invest $1, 000 at 5% interest compounded annually, how many years will it take before you have $2,000?
Find the minimum value of the function y = -4 x3 + 60 x2 -252 x + 8 for values of x between x = 0 and x = 9 Enter the value of the function, not the value of x
MAKING AN ARGUMENT You use synthetic division to divide f(x) by (x βˆ’ a) and find that the remainder equals 15. Your friend concludes that f (15) = a. Is your friend correct? Explain your reasoning.
ind the z-score for which 72% of the distribution's area lies between -z and z. -1.7417, 1.7417 -1.1538, 1.1538 -1.0803, 1.0803 -2.826, 2.826
Given a circle π‘˜(𝑆; π‘Ÿ = 4 π‘π‘š) and a line |𝐴𝐡| = 2 π‘π‘š. Determine and construct the set of all centers of circles that touch circle π‘˜ and have radius π‘Ÿ = |𝐴𝐡|
What is the percentage of nitrogen abundance in copper dinatrate Cu(NO3)2
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?
the length of the fenced in area is to be 5 ft greater than the width and the total amount of fencing to be used is 89 ft find the width and length
Sin(5pi/3)
12[4 + (8 + 7) + 5]