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a messenger in a company collected an interest free loan of #93,000 from the company which should be withdrawn from his salary in 12 months if #5,000 is withdrawn from the 1st month and the amount to be withdrawn increase each month by equal amount of the preceeding month. How much will be withdrawn from his salary in the last month?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a math question a messenger in a company collected an interest free loan of #93,000 from the company which should be withdrawn from his salary in 12 months if #5,000 is withdrawn from the 1st month and the amount to be withdrawn increase each month by equal amount of the preceeding month. How much will be withdrawn from his salary in the last month?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To find out how much will be withdrawn from the messenger's salary in the last month, we need to calculate the increasing amount each month.

In this scenario, the amount to be withdrawn each month follows an arithmetic progression, with a common difference of #5,000.

To find the amount to be withdrawn in the last month, we need to find the 12th term of the arithmetic progression.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- a = 5000 (first term, amount withdrawn from the 1st month)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Therefore, #60,000 will be withdrawn from the messenger's salary in the last month.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)
What is the value of f(x) = sqrt(x) for x = 9?
+
What is the surface area of a right triangular prism with base edges measuring 5 cm, 12 cm, and 13 cm?
+
What is the equation of an ellipse with major axis length of 8 and minor axis length of 5?
+
New questions in Mathematics
Solution to the equation y'' - y' - 6y = 0
a ferry travels 1/6 of the distance between two ports in 3/7 hour. the ferry travels at a constant rate. at this rate, what fraction of the distance between the two ports can the ferry travel in one hour?
A circular park has a diameter of 150ft. A circular fence is to be placed on the edge of this park. Calculate the cost of fencing this park if the rate charged is $7 per foot. Use π = 3.14.
1/2x +3 <4x-7
two particles start at the origin and move along the x axis. for 0 <= t <= 10, their respective position functions are given by x1 = cos(t) and x2 = (e^-3t) + 1. for how many values of t do the particles have the same velocity?
How many percent is one second out a 24 hour?
Which of the following is the product of multiplying twenty-seven and twenty-five hundredths by nine and twenty-seven hundredths?
To celebrate the five-year anniversary of a consultancy specializing in information technology, the administrator decided to draw 3 different qualification courses among its 10 employees. Considering that the same employee cannot be drawn more than once, the total number of different ways of drawing among employees is:
2x2 and how much?
4x/2+5x-3/6=7/8-1/4-x
suppose random variable x follows poisson distribution with expected value 3. what is variance of x?
Let x be an integer. Prove that x^2 is even if and only if is divisible by 4.
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?
When taking a test with m closed answers, a student knows the correct answer with probability p, otherwise he chooses one of the possible answers at random. What is the probability that the student knows the correct answer given that he answered the question correctly.
A post office has three categories of letters: 60% are from businesses, 30% are individual mail, and the remaining 10% are government mail. 5% of the letters from businesses have address errors, 10% of the individual mail has address errors, while 1% of the government mail has address errors. If we receive a letter with an address error, what is the probability that it is individual mail?"
Marc, Jean and Michelle have traveled a lot. Marc drove twice as much as Jean, but it was Michelle who drove the most with 100km more than Marc. They respected their objective of not exceeding 1350km of distance. How far did John drive?
Sodium 38.15 38.78 38.5 38.65 38.79 38.89 38.57 38.59 38.59 38.8 38.63 38.43 38.56 38.46 38.79 38.42 38.74 39.12 38.5 38.42 38.57 38.37 38.71 38.71 38.4 38.56 38.39 38.34 39.04 38.8 A supplier of bottled mineral water claims that his supply of water has an average sodium content of 36.6 mg/L. The boxplot below is of the sodium contents levels taken from a random sample of 30 bottles. With this data investigate the claim using SPSS to apply the appropriate test. Download the data and transfer it into SPSS. Check that your data transfer has been successful by obtaining the Std. Error of the mean for your data which should appear in SPSS output as 0.03900.. If you do not have this exact value, then you may have not transferred your data from the Excel file to SPSS correctly. Do not continue with the test until your value agrees as otherwise you may not have correct answers. Unless otherwise directed you should report all numeric values to the accuracy displayed in the SPSS output that is supplied when your data has been transferred correctly. In the following questions, all statistical tests should be carried out at the 0.05 significance level. Sample mean and median Complete the following concerning the mean and median of the data. mean =  mg/L 95% CI:  to  mg/L Based upon the 95% confidence interval, is it plausible that the average sodium content is 36.9 mg/L?      median:  mg/L The median value is      36.9 mg/L. Skewness Complete the following concerning the skewness of the data. Skewness statistic =        Std. Error =  The absolute value of the skewness statistic     less than 2 x Std. Error Therefore the data can be considered to come from a population that is      . Normality test Complete the following summary concerning the formal testing of the normality of the data. H0: The data come from a population that     normal H1: The data come from a population that     normal Application of the Shapiro-Wilk test indicated that the normality assumption     reasonable for sodium content (S-W(  )=  , p=   ). Main test Using the guidelines you have been taught that consider sample size, skewness and normality, choose and report the appropriate main test from the following ( Appropriate ONE ) You have selected that you wish to report the one-sample t-test. H0: The mean sodium content     equal to 36.9 mg/L H1: The mean sodium content     equal to 36.9 mg/L Application of the one-sample t-test indicated that the mean is      36.9 mg/L (t(  ) =  , p =   ). You have selected that you wish to report the Wilcoxon signed rank test. H0: The median sodium content     equal to 36.9 mg/L H1: The median sodium content     equal to 36.9 mg/L Application of the Wilcoxon signed rank test indicated that the median is      36.9 mg/L (z =  , N =  , p =   ).
A candy manufacturer must monitor deviations in the amount of sugar in their products They want their products to meet standards. They selected a random sample of 20 candies and found that the sandard deviation of that sample is 1.7. What is the probabilty of finding a sample variance as high or higher if the population variance is actually 3277 Assume the population distribution is normal.
An export company grants a bonus of $100,000 pesos to distribute among three of its best employees, so that the first receives double the second and the latter receives triple the third. How much did each person receive?
f(r) = 1/r+9 find f(x^2) + 1