Mathematics High School

An appliance is for sale at either (a) P15,999 cash or (b) on terms, P1,499 each month for the next 12 months.  Money is 9% compounded monthly.  Which is lower, the cash price or the present value of the installment terms? Explain.​

Answers

Answer 1

Answer:

Cash price

Step-by-step explanation:

The computation is shown below:

The Interest rate per month (r) = (9% ÷ 12) = 0.75%

Now Present value of the monthly payment is

= PMT × {[(1 + rate of interest)^number of years - 1] ÷ rate of interest}

= 1,499 × {[(1 + 0.75%)^12 - 1] ÷ 0.75%}

= 18,748.89

And the cash price is 15,999

So, the cash price would be lower

Answer 2

The cash price would be lower. A further explanation is below.

According to the question,

Interest rate per month,

[tex]r = \frac{9 \ percent}{12}[/tex]

  [tex]= 0.75[/tex] (%)

hence,

The Present value of the monthly payment will be:

= [tex]PMT\times \frac{{(1 + Interest \ rate)^{number \ of \ years} - 1}}{Interest \ rate}[/tex]  

= [tex]1499\times \frac{[(1 + 0.75 \ percent)^{12} - 1] }{0.75 \ percent}[/tex]  

= [tex]18748.89[/tex]

As we can see that the cash price is 15,999. Thus the above answer is right.

 

Learn more:

https://brainly.com/question/4187682

Related Questions

2. How many solutions in the equation 3x + 5 = 3x + 10 *
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Answer:

One solution

Step-by-step explanation:

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Answer:

1) There are double number of pennies than there are quarters

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Step-by-step explanation:

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There are 2 more coins of pennies than quarters, if there are 4 pennies it will only be 4 cents and for 2 quarters it’s 25 cents each so multiply 25x2 and you will get 50. Hope this helps!

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12

Step-by-step explanation: Hope it helps ;)

help please!! ill mark brainliest

Answers

Answer:

∠ B = 54°

Step-by-step explanation:

The angles are supplementary, that is they sum to 180° , then

7x + 14 + 5x - 26 = 180 , that is

12x - 12 = 180 ( add 12 to both sides )

12x = 192 ( divide both sides by 12 )

x = 16

Then

∠ B = 5x - 26 = 5(16) - 26 = 80 - 26 = 54°

Can somebody please help i need the help to help me pass my math class thx so much if you can
1. Solve for the proportion 4 / 5 = x / 14
2. Find the distance between -5 and 8
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8. ( 7x -2 ) - (-4x +12)
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Answers

Answer:

Step-by-step explanation:

1. x = 11.2

2. 13

3. 9

4. -7/15

5. 15b

6. -12x + 16

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8. 11x-10

9. 10a + 5

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Hope that helps, and good luck!

What's the slope of the line (80,90)

Answers

Eighth of an inch per foot

Answer:

m = 90/80 = 9/8

Step-by-step explanation:

If you meant the line through the origin (0, 0) and (80, 90), then the change in x is 80 and that in y is 90.  The slope is m = (change in y) / (change in x), or

m = 90/80 = 9/8

∠aangle, a and ∠ b ∠bangle, b are complementary angles. ∠ a ∠aangle, a measures 5 5 ∘ 55 ∘ 55, degrees. What is the measure of ∠ b ∠bangle, b?

Answers

Answer:

∠b=35

Step-by-step explanation:

Hello There!

Complementary angles add up to equal 90

so to find the measure of angle B we subtract the given angle from 90

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Answers

Answer: y=-3x+5

Step-by-step explanation:

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Answers

Answer:

x > −2

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You need to isolate the variable. You can do this by first subtracting 3/2 from both sides of the inequality sign.

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4.5% of $149.99 is 67.4955 which means he will make $67.50

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Answer:

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Step-by-step explanation:

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What is the slope of the line that passes through the points (-2,2) and (7,3)

Answers

Answer:

Step-by-step explanation:

Given points

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Answers

Answer:

3 x C = $27

Is your expression.

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Answers

Answer:

6x3

Step-by-step explanation:

....................

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Answers

Answer:

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S: (-3, -1)

T: (1, -4)

Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Sam is needing to make copies of a flyer for his new business. Store W charges $5 for unlimited copies and store Z charges $0.20 per copy and $2 for using the machine.

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Answers

about 16 copies cost the same amounts

Answer:

I believe it would be 15 copies.

Step-by-step explanation:

Store W gives you unlimited copies for 5 dollars, so the number of copies doesn't matter for store W, they do not affect the cost. So, you will have to find how many copies from store Z will cost 5 dollars. Now, it tells you store Z charges 2 dollars for the use of the machine, so you can go ahead and subtract 2 from 5 (total amount to make it equal). That being done leaves you with 3 dollars for the copies themselves, it tells you each copy costs $.20. So, now all you have to do is divide 3 by 0.20, which gives you 15.


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Answers

Answer:

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Step-by-step explanation:

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132-26.4=105.6

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Answers

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Step-by-step explanation:

Answer:

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Step-by-step explanation:


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Step-by-step explanation:

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Step-by-step explanation:

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