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.

 

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https://brainly.com/question/4187682

Related Questions

help ASAP ill mark brainliest

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Answer:

The third one. A trend line does describe data patterns.


Sarah went to the mall and bought a pair of sneakers for $132. They are on sale for 20% off. What will the new price be?

Answers

Answer:

$105.6

Step-by-step explanation:

132*.20=26.4

132-26.4=105.6

a. What is the minimum value taken by the
expression (x – 4)2 + 6?

Answers

Answer:

2x-2

Step-by-step explanation:

Answer:

Minimum value = 6

Step-by-step explanation:

Solve the given inequality and graph the solution on a number line. -x/2 + 3/2 < 5/2

Answers

Answer:

x > −2

Step-by-step explanation:

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

You will get -x/2 < 2/2.

Next, since x is being divided by -2, you will multiply it by -2 to undo it. Do this to both sides.

Note that when multiplying or dividing by a negative you will flip the inequality sign. '<' becomes '>' and '>' becomes '<'.

You will get x > -2.

2. How many solutions in the equation 3x + 5 = 3x + 10 *
1 point
One solution (Sometimes True)
Infinitely Many Solutions (Always True)
No solution (Never True)

Answers

Answer:

One solution

Step-by-step explanation:

can you help me out ..please and thank you

Answers

You’re going to want to distribute the number directly before the parenthesis. So for number 1 you’re going to want to distribute the -11 to x+9 so the equation would look like: x-8=43-11x-99. Then combine like terms: x-8=-56-11x then add 11x to move the x’s to one side: 12x-8=-56 then add 8 to move it away so the x’s are alone. 12x=-48 then divide the -48 by 12 to get the x fully alone so you’d get x=-4

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

let ( x1, y1 ) = ( - 2 , 2) and (x2 , y2 ) = (7, 3)

slope of the line (m)

= ( y2 - y1) / (x2 - x1)

= ( 3 -2 ) / ( 7 + 2)

= 1 / 9

hope it helps :)


Lil Pump's new workout plan requires him to run 15 miles a week. How many miles does he have to run each day?

Answers

Answer:

2 1/4

Step-by-step explanation:


PLEASE HELP ME THESE ARE MY LAST POINTS PLEASEEE





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.

How many copies makes both stores cost the same amounts?

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.

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

If the slope is -3 and (1, 2) is a point on the line, what is the equation of the line?

Answers

Answer: y=-3x+5

Step-by-step explanation:

First write in point slope form, y-y1=m(x-x1) which is y-2=-3(x-1). Then distribute the -3 and add the negative 2 to the other side to solve for y.

Which of the following expressions is equivalent to (2x)3 ?


Group of answer choices

6x4

2x3

8x3

6x3
btw the numbers on the right are exponents

Answers

Answer:

6x3

Step-by-step explanation:

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

An employee sells ten tablets for $149.99 each. How much will he make if he earns 4.5% commission?

Answers

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

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
3. Evaluate the expression 3x +2y when x= 5 and y= -3
4. Divide and write your answer as a mixed number or in simplest form -2 / 5 divided by 6 / 7
5. Find the GCF of 30ab and 45b
6. 4 ( -3x + 4)
7. Simplify by combining like terms: -2x + 7 + 5x + x -3
8. ( 7x -2 ) - (-4x +12)
9. (5a - 3) + (a +6) +( 4a +2)
10. Which of the following are monomials? Select all that apply
-x
or
10a+7
or
15
or
2b

Answers

Answer:

Step-by-step explanation:

1. x = 11.2

2. 13

3. 9

4. -7/15

5. 15b

6. -12x + 16

7. 4x + 4

8. 11x-10

9. 10a + 5

10. -x, 15, and 2b

Hope that helps, and good luck!

. JKLM is a kite. m∠JMZ = 41°, and m∠JKZ = 52°. Find m∠KJZ, in degrees. *

Answers

Answer:

54 jskiyeb ja no te aimfotito

face north. do a 1/4 turn clockwise which way will i be facing

Answers

Answer:

You will be facing in a 90 degree angle.

Step-by-step explanation:

Did you mean like on a compass?

Answer:

East

Step-by-step explanation:

300 times what is 1800

Answers

Answer:

6

Step-by-step explanation:

1800/300=6

can you word this question a little better, if you asking 300 times what is 1800 its 6

Help someone plz I need it

Answers

Answer:

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

2) For every 2 pennies, there is one quarter

3) There are 2 less quarters compared to the pennies

Hope dis helped!

Step-by-step explanation:

plz mark as brianliest if correct!!!

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!

what would be the coordinates marked wrong

Answers

Answer:

R: (-3, -4)

S: (-3, -1)

T: (1, -4)

Step-by-step explanation:

You would subtract 1 from all the initial x values, and 5 from all the initial y values

Enter an equation for the word sentence. Use the variable c for the cost.

Three times the cost is $27

Answers

Answer:

3 x C = $27

Is your expression.

3x28=c

am very smort  :D

SOMEONE HELPPPPPPPPPP!!!!!!!

Answers

Answer:

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°

Plz help brainlest!!!!!

Answers

Answer:

$6.50

Step-by-step explanation:

43.50-24=19.5

19.5/3=6.5

Answer: Each snack costs $6.50

Step-by-step explanation:

Subtract 43.50 by 24

Then divide

Please help me find the area of this shape please!

Answers

i’m pretty sure it’s just 28

Suppose f(x)=x^2 what is the graph of g(x)=f(2x)


i have seen other descriptions saying that you should substitute 2x into the equation, but where does that 2x come from and what is next?

Answers

Answer:

Since g(x) = f(2x), this means we substitute 2x in place of x for f(x):

g(x) = f(2x) = (2x)² = 4x²

Graphing this, the parabola is not moved from the parent graph f(x) = x², but the graph is compressed horizontally by a factor of 4.Step-by-step explanation:

whats the average rate of change from x = -2 to x = 3

Answers

Answer is 2 . I hope this helps .

PLEASE HELP IF YOUR GOOD AT ALGEBRA

Answers

9514 1404 393

Answer:

  lower left

Step-by-step explanation:

We notice that the answer choices have only the first equation changed. The equivalent of the first equation must have the same ratios of coefficients.

  x-coefficient : y-coefficient : constant

  = 2 : 1 : -15 . . . . . in the given equation

  2 : -2 : 30 = 1 : -1 : 15 . . .  upper left — not the same

  -4 : -2 : -15 = 4 : 2 : 15 . . . upper right — not the same

  -4 : -2 : 30 = 2 : 1 : -15 . . . lower left — same as the given equation

  -4 : 1 : 30 = 4 : -1 : -30 . . . lower right — not the same

‘z’ is subtracted from (-12) express the expression​

Answers

Answer:

Z + 12

Step-by-step explanation:

Z-(-12)

Z + 12

Double negative turns into positive

Identify the first step when evaluating the expression 11 – 10 ÷ 2 + 6 × 1

Answers

Answer: use cymath

Step-by-step explanation:

Answer:

6.5

Step-by-step explanation:

i think

∠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

90-55=35

so we can conclude that ∠b = 35

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