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a messenger in a company collected an interest free loan of #93,000 from the company which should be withdrawn from his salary in 12 months if #5,000 is withdrawn from the 1st month and the amount to be withdrawn increase each month by equal amount of the preceeding month. How much will be withdrawn from his salary in the last month?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a math question a messenger in a company collected an interest free loan of #93,000 from the company which should be withdrawn from his salary in 12 months if #5,000 is withdrawn from the 1st month and the amount to be withdrawn increase each month by equal amount of the preceeding month. How much will be withdrawn from his salary in the last month?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To find out how much will be withdrawn from the messenger's salary in the last month, we need to calculate the increasing amount each month.

In this scenario, the amount to be withdrawn each month follows an arithmetic progression, with a common difference of #5,000.

To find the amount to be withdrawn in the last month, we need to find the 12th term of the arithmetic progression.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- a = 5000 (first term, amount withdrawn from the 1st month)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Therefore, #60,000 will be withdrawn from the messenger's salary in the last month.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)
What is the standard deviation of a dataset containing the values 10, 15, 20, 25, 30?
+
Math question: Find the absolute maximum and minimum values of the function f(x) = x^2 - 4x + 2 on the closed interval [0, 5].
+
Math question: Factorize the expression 2x^2 + 7x - 15 using the factoring formulas.
+
New questions in Mathematics
11(4x-9)= -319
Calculate the 6th term of PA whose 1st term is 6.5 and the ratio 5
String x = 5 Int y=2 System.out.println(x+y)
P is a polynomial defined by P(x) = 4x^3 - 11×^2 - 6x + 9. Two factors are (x - 3) and (x + 1). Rewrite the expression for P as the product of linear factors.
5) A family with a father, mother and 3 children must sit on five chairs in a row and the only restriction is that the mother must be at one end. In how many different ways can they be seated?
3x+2/2x-1 + 3+x/2x-1 - 3x-2/2x-1
the probabilty that a person has a motorcycle, given that she owns a car 25%. the percentage of people owing a motorcycle is 15% and that who own a car is 35%. find probabilty that a person owns any one or both of those
There are 162 students enrolled in the basic mathematics course. If the number of women is 8 times the number of men, how many women are there in the basic mathematics course?
2x2 and how much?
According to a survey in a country 27% of adults do not own a credit card suppose a simple random sample of 800 adults is obtained . Describe the sampling distribution of P hat , the sample proportion of adults who do not own a credit card
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.
3. A rock is dropped from a height of 16 ft. It is determined that its height (in feet) above ground t seconds later (for 0≤t≤3) is given by s(t)=-2t2 + 16. Find the average velocity of the rock over [0.2,0.21] time interval.
You are the newly appointed transport manager for Super Trucking (Pty) Ltd, which operates as a logistics service provider for various industries throughout southern Africa. One of these vehicles is a 4x2 Rigid Truck and drawbar trailer that covers 48,000 km per year. Use the assumptions below to answer the following questions (show all calculations): Overheads R 176,200 Cost of capital (% of purchase price per annum) 11.25% Annual License Fees—Truck R 16,100 Driver Monthly cost R 18,700 Assistant Monthly cost R 10,500 Purchase price: - Truck R 1,130,000 Depreciation: straight line method Truck residual value 25% Truck economic life (years) 5 Purchase price: Trailer R 370,000 Tyre usage and cost (c/km) 127 Trailer residual value 0% Trailer economic life (years) 10 Annual License Fees—Trailer R 7,700 Fuel consumption (liters/100km) 22 Fuel price (c/liter) 2053 Insurance (% of cost price) 7.5% Maintenance cost (c/km) 105 Distance travelled per year (km) 48000 Truck (tyres) 6 Trailer (tyres) 8 New tyre price (each) R 13,400 Lubricants (% of fuel cost) 2.5% Working weeks 50 Working days 5 days / week Profit margin 25% VAT 15% Q1. Calculate the annual total vehicle costs (TVC)
Shows two blocks, masses 4.3 kg and 5.4 kg, being pushed across a frictionless surface by a 22.5-N horizontal force applied to the 4.3-kg block. A. What is the acceleration of the blocks? B. What is the force of the 4.3-kg block on the 5.4 -kg block? C. What is the force of the 5.4 -kg block on the 4.3 -kg block?
Determine the reduced form of the slope equation equal to 2
17. A loan for $104259 is taken out for 10 years with an annual interest rate of 9.4%, compounded quarterly. What quarterly payment is required to pay the loan off in 10 years? Enter to the nearest cent (two decimals). Do not use $ signs or commas in the answer.
solid obtained by rotation around the axis x = -1, the region delimited by x^2 - x + y = 0 and the abscissa axis
A psychologist is investigating the levels of test anxiety in various university courses. Anxiety is measured on a scale ranging from 0 to 100, where 0 indicates the complete absence of anxiety and 100 represents an extreme level of anxiety. From the data obtained, it has been discovered that the psychology score is triple that of nursing, and in turn, the latter has a score 10 points lower than the nutrition major. Furthermore, the score in the veterinary degree is 15 points higher than that of nutrition. Finally, if we add the scores of all the races, we will obtain a total of 173 points. Pose the equation that represents the situation described in the previous problem and determine: What is the score that psychology obtained regarding its anxiety level before the exams?
X^3 - x^2 - 4 = 0, what are the values of x?
Write decimal as the fraction 81/125 simplified