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a messenger in a company collected an interest free loan of #93,000 from the company which should be withdrawn from his salary in 12 months if #5,000 is withdrawn from the 1st month and the amount to be withdrawn increase each month by equal amount of the preceeding month. How much will be withdrawn from his salary in the last month?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to a math question a messenger in a company collected an interest free loan of #93,000 from the company which should be withdrawn from his salary in 12 months if #5,000 is withdrawn from the 1st month and the amount to be withdrawn increase each month by equal amount of the preceeding month. How much will be withdrawn from his salary in the last month?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
104 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To find out how much will be withdrawn from the messenger's salary in the last month, we need to calculate the increasing amount each month.

In this scenario, the amount to be withdrawn each month follows an arithmetic progression, with a common difference of #5,000.

To find the amount to be withdrawn in the last month, we need to find the 12th term of the arithmetic progression.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- a = 5000 (first term, amount withdrawn from the 1st month)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Therefore, #60,000 will be withdrawn from the messenger's salary in the last month.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: Find the equation of a circle with center (h, k) = (3, -4) and radius r = 5 in standard form.
+
What is the maximum or minimum value of the function f(x) = 3x^2 + 4x - 1 in the interval [-2, 3]?
+
What is 3.5 as a percent?
+
New questions in Mathematics
what is 456456446+24566457
The length and breadth of my rectangular vegetable garden is 12,5m and 7,25m respectively. What is the perimeter of the garden?
58+861-87
Elliot opened a savings account and deposited $5000.00 as principal. The account earns 4% interest, compounded annually. How much interest will he earn after 5 years? Round your answer to the nearest cent.
(6.2x10^3)(3x10^-6)
Find the measures of the sides of ∆KPL and classify each triangle by its sides k (-2,-6), p (-4,0), l (3,-1)
Determine the momentum of a 20 kg body traveling at 20 m/s.
A National Solidarity Bond offers A 5 year bond offering a gross return of 15% Calculate the AER for this investment. (Give your answer to two decimal places, no need for the percent or € sign in your answer)
How many anagrams of the word STROMEC there that do not contain STROM, MOST, MOC or CEST as a subword? By subword is meant anything that is created by omitting some letters - for example, the word EMROSCT contains both MOC and MOST as subwords.
The physician orders 15mg of tramadol(liquid). On hand is 30mg/2mL vials. How many mL will the MA administer?
In the telephone exchange of a certain university, calls come in at a rate of 5 every 2 minutes. Assuming a Poisson distribution, the average number of calls per second is: a) 1/8 b) 1/12 c) 1/10 d) 2/5 e) 1/24
A researcher is interested in voting preferences on change of the governing constitution in a certain country controlled by two main parties A and B. A questionnaire was developed and sent to a random sample of voters. The cross tabs are as follows Favour Neutral Oppose Membership: Party A 70 90 85 Party B 50 50 155 Test at α = 0.05 whether party membership and voting preference are associated and state the conditions required for chi-square test results to be valid.
48 kg of 30% sulfuric acid in a mixture of 10% and 40% sulfuric acid arose. How many kilograms were each of the original solutions?
1. A jeweler has two gold bars, with 80% purity and the other with 95% purity. How much of each must be melted to obtain a 5 kilo ingot with 86% purity?
Solve for B write your answer as a fraction or as a whole number. B-1/7=4
An election ballot asks voters to select three city judges from a group of 12 candidates. How many ways can this be done?
calculate the product of 4 and 1/8
How many digits are there in Hindu-Arabic form of numeral 26 × 1011
5a-3.(a-7)=-3
In a cheese factory, one pie costs 3800 denars. The fixed ones costs are 1,200,000 denars, and variable costs are 2,500 denars per pie. To encounter: a) income functions. profit and costs; b) the break-even point and profit and loss intervals.