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Mama L [17]
2 years ago
7

1: Sandy purchases a dishwasher for R6500 on a hire purchase agreement. The agreement is that the loan is to be paid off over a

period of 3 years with equal monthly payments at an interest rate of 12% per annum. Calculate: a) The amount that Sandy will pay for the dishwasher. b) The monthly repayments. c) The total interest paid.​
Mathematics
1 answer:
Contact [7]2 years ago
8 0

a) The amount Sandy will pay for the dishwasher that costs R6,500 today on hire purchase is <u>R7,772.04</u>.

b) The monthly repayments are <u>R215.89</u>.

c) The total interest paid is  R1,272.04.​

<h3>What is a hire purchase?</h3>

Hire purchase is a credit agreement that allows the buyer to make monthly payments in consideration of finance charges.

The total amount the buyer will pay periodically for the hire purchase is the cost (the price of the item) plus the total interest (finance charge).

These can be determined using an online finance calculator as follows:

<h3>Data and Calculations:</h3>

Cost of dishwasher = R6,500

Hire purchase terms = 3 years equal monthly payments

Interest rate = 12%

N (# of periods) = 36 months ( 3 x 12)

I/Y (Interest per year) = 12%

PV (Present Value) = R6500

FV (Future Value) = R0

<u>Results</u>:

Monthly payment = R215.89

Sum of all periodic payments = R7,772.04 (R215.89 x 36)

Total Interest = R1,272.04 (R7,772.04 - R6,500)

Learn more about costs of credits at brainly.com/question/4403314

#SPJ1

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The Consumer Price Index​ (CPI) is a measure of the change in the cost of goods over time. If 1982 is used as the base year of c
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Answer:

a) y = 3.8 x +100

b) Abs. change= |168.4-167.5|=0.9

So the calculated value is 0.9 points above the actual value.

Relative. Change =\frac{|168.4 -167.5|}{167.5}x100 =0.537%

And the calculated value it's 0.537% higher than the actual value.

c) For this case we can use the slope obtained from the linear model to answer this question, and we can conclude that the CPI is increasing at approximate 3.8 units per year.

Step-by-step explanation:

Data given

1982 , CPI=100

1986, CPI = 191.2

Notation

Let CPI the dependent variable y. And the time th independent variable x.

For this case we want to adjust a linear model givn by the following expression:

y=mx+b

Solution to the problem

Part a

For this case we can find the slope with the following formula:

m =\frac{CPI_{2006}-CPI_{1982}}{2006-1982}

And if we replace we got:

m =\frac{191.2-100}{2006-1982}=3.8

Let X represent the number of years after. Then for 1982 t = 0, and if we replace we can find b:

100 = 3.8(0)+b

And then b=100

So then our linear model is given by:

y = 3.8 x +100

Part b

For this case we need to find the years since 1982 and we got x = 2000-1982=18, and if we rpelace this into our linear model we got:

y = 3.8(18) +100=168.4

And the actual value is 167.5 we can compare the result using absolute change or relative change like this:

Abs. change= |168.4-167.5|=0.9

So the calculated value is 0.9 points above the actual value.

And we can find also the relative change like this:

Relative. Change =\frac{|Calculated -Real|}{Real}x100

And if we replace we got:

Relative. Change =\frac{|168.4 -167.5|}{167.5}x100 =0.537%

And the calculated value it's 0.537% higher than the actual value.

Part c

For this case we can use the slope obtained from the linear model to answer this question, and we can conclude that the CPI is increasing at approximate 3.8 units per year.

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Any athlete who fails the Enormous State University's women's soccer fitness test is automatically dropped from the team. Last y
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Using conditional probability, it is found that there is a 0.7873 = 78.73% probability that Mona was justifiably dropped.

Conditional Probability

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

  • P(B|A) is the probability of event B happening, given that A happened.
  • P(A \cap B) is the probability of both A and B happening.
  • P(A) is the probability of A happening.

In this problem:

  • Event A: Fail the test.
  • Event B: Unfit.

The probability of <u>failing the test</u> is composed by:

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  • 100% of 63%(not fit).

Hence:

P(A) = 0.46(0.37) + 0.63 = 0.8002

The probability of both failing the test and being unfit is:

P(A \cap B) = 0.63

Hence, the conditional probability is:

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.63}{0.8002} = 0.7873

0.7873 = 78.73% probability that Mona was justifiably dropped.

A similar problem is given at brainly.com/question/14398287

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Answer:

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