Darcy is buying a new couch that cost $999.00. She has two payment options.

Option 1: Pay with credit card. The card charges 20.00% annual interest and Darcy expects to pay off the charge in 30 days.

Option 2: Take the store promotion of 15 monthly payments of $70 (including tax)

a) Calculate the total cost of each option
b) What is the annual interest rate being charged with Option 2?

Please show your work. ​​

Answers

Answer 1

Answer:

Step-by-step explanation: a) To calculate the total cost of the couch when paid with a credit card, we need to calculate the amount of interest that will be charged. To do this, we first need to calculate the monthly interest rate by dividing the annual interest rate by 12. In this case, the monthly interest rate is 20/12 = 1.67%.

Next, we need to multiply the cost of the couch by the monthly interest rate to find the amount of interest that will be charged. In this case, the amount of interest is 999 * 1.67% = 16.67.

Finally, we need to add the amount of interest to the cost of the couch to find the total cost when paid with a credit card. In this case, the total cost is 999 + 16.67 = 1015.67.

To calculate the total cost of the couch when paid with the store promotion, we simply need to add up all 15 monthly payments. In this case, the total cost is 15 * 70 = 1050.00.

b) To calculate the annual interest rate being charged with Option 2, we need to divide the total cost of the couch by the number of monthly payments and then multiply by 12. In this case, the annual interest rate is (1050/15)*12 = 96%.


Related Questions

What is a Proportional Relationship?
1. One apple costs 25¢. Determine each cost.
a) 2 apples
b) 3 apples
c) 4 apples
d) 6 apples
e) 9 apples
f) 12 apples

Answers

A two apples or $.25 each

Amy is a local photographer. She charges $225 for a session and $15 for every print the customer
orders. Which of the equations below could represent the amount a photo session could cost?
A. y = 15x
B. y = 225x + 15
C. y = 225x
D. y = 15x + 225

Answers

The correct answer is D

li writes the expression “half of the sum of 9 and a number.” Write an algebraic expression that is equivalent to Ali’s expression. Write a second algebraic expression that is different from, but equivalent to, your first expression. Respond in the space provided.

Answers

Answer:

Step-by-step explanation:

.......

Answer:

The expression will be : (x+9) /2

What is algebraic expression?

An algebraic expression is an expression built up from integer constants , variables , and the algebraic operations.

Let us take the number to be : x

Now, ( half of the sum of 9 and a number ) will be : (x+9)/2

Dividing x and 9 with 2 we get,

the second expression which is different but equivalent to first will be :

=0.5 x + 4.5

Learn more about algebraic expression :

https://brainly.com/question/953809?referrer=searchResults

#SPJ2

what is the probability of a chance event is 0.05, it to happen when compared to a chance event with a probability of 0

Answers

Answer:

I can't understand

Step-by-step explanation:

I will just try to rewrite your question so someone lese can answer it.

"What is the probability of a chance event, with a probability of 0.05, to happen when compared to a chance event with a probability of 0."

or just what is the probability(how high or low are the chances) of an event with a very low chance of happening when compared to an event that can never happen.

What is 58 x 564 please tell me

Answers

Answer:

that is the answer 32,712

Step-by-step explanation:

your welcome.

sorry I times it by 54 instead of 58

the answer is 32,712

Can you help me solve this pls

Answers

Answer:

use the Pythagorean therm = choice D

Step-by-step explanation:

find the square root of 3(squared) + 4(squared) = 5

then the square root of 5(square) + 12(squared) = 13

Answer ASAP PLS -

Angle PQR and angle TQV are vertical angles. The measures of the two angles have a sum of 100°. Write and solve an equation to find x, the measures of angle TQV.​

Answers

TQV: 50
good luck :’)

A textbook company states that the average time a student needs to take a quiz from its book is 30 minutes with a standard deviation of 3 minutes. A teacher using the book is not sure that this is correct for her classes and wants to check. She collects data on 10 random students and finds that the average time to take the quiz was only 25 minutes. As a result, the teacher performs a two-tailed hypothesis test with a significance level of 5%. Which conclusion is valid based on the results of the test

Answers

Answer:

We conclude that her students, on average, do not take 30 minutes on the quiz, contrary to what the textbook company states.

Step-by-step explanation:

We are given;

Population mean; μ = 30 minutes

Population standard deviation; σ = 3 minutes

Sample size; n = 10

Sample mean; x¯ = 25

Significance level = 5% = 0.05

Let's define the hypotheses;

Null hypothesis; H0: μ = 30

Alternative hypothesis: Ha: μ ≠ 30

Let's find the test statistic;

z = (x¯ - μ)/(σ/√n)

z = (25 - 30)/(3/√10)

z = -5.27

From online p-value from z-score calculator attached using, z = -5.27, significance level = 0.05, two tailed hypothesis, we have;

p < 0.00001

This is less than the significance level, and so we will reject the null hypothesis and conclude that Her students, on average, do not take 30 minutes on the quiz, contrary to what the textbook company stated.

Answer:

A. Her students, on average, do not take 30 minutes on the quiz, contrary to what the textbook company stated.

HELP PLEASE!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

The answer is A.) y=-500x+22,000

A city built a new subway system in 2001. This graph shows the daily number of mass transit trips and the daily number of car trips people took in that city through 2007. What does the data show?
A) As the number of mass transit trips increase, so do the number of car trips.
B) The number of mass transit trips first exceeded the number of car trips in 2005.
C) The number of car trips has decreased every year since the subway system was built.
D)According to the data, the number of mass transit trips and the number of car trips do not appear to be related.

Answers

Answer:

C.

Step-by-step explanation:

This is the correct answer, because ever since the transit system was made, car rides went down and down.

Which expressions have products less than 3 3/5?
(Select all that apply)

Answers

1, 3 and 4.

1. 3,6>0,9
2. 3,6<4,725
3. 3,6>1,575
4. 3,6>0,54

At a children's archery camp, the percentage of target hits at different distances from the target for several campers were recorded.
The data is shown in the scatter plot below.
у
100).
80
60
.
Target Hits (%)
40
20
0 4
8 12 16 20
Distance from Target (ft)
Which interpretation can be made from this data?
OA.
ОВ.
There is a positive association between the distance from the target and the percentage of target hits.
There is a negative association between the distance from the target and the percentage of target hits.
There is no association between the distance from the target and the percentage of target hits.
OC.
OD. There is both a positive and a negative association between the distance from the target and the percentage of target
hits.

Answers

Answer:

its  B

Step-by-step explanation:

Use your answer from Part I to find the slope of a line going through each set of points. Then
describe the line as positive, negative, zero, or undefined. Show your work and explain your
answer.

A. (5, 7) and (-4,-2)

B. (1, 3) and (1, -10)


Answers

Answer:

Step-by-step explanation:

to find the slope of a line that passes for two given points we can use this formula (y2-y1)/(x2-x1). x and y inidcate the coordinates of the two points.

A (-2-7)/(-4-5) = (-9)/-9 = 1 (m is positive)

B (-10-3)/(1-1)) = the denominator is equal to zero, so the division is impossibile. This mean that m is undefined and the line is parallel to y axis

plz help. need it done in 2 mins​

Answers

The answer should be D
Hope this helps :)
Can I have brainlyest plz

6). The circle graph shows Allen's activities during 24 hours.
Allen's Activities
Listening to music 12%
Sleeping
35%
Playing video games 3%
Practicing drums 5%
Attending
school
30%
Playing tennis 10%
Eating 5%
How much more time in hours did Allen spend listening to music than playing tennis?
F 2.88 hours
G 0.48 hour
H 2.40 hours
J 0.12 hour
best explained answer gets most brainliest!

Answers

Answer:

G 0.48 hour

music 12% - tennis 10% = 2%

2% x 24 hrs = 0.48 h

Answer:

0.48

Step-by-step explanation:

The difference between three times a number and 6 is 33.
I need to write an equation for this someone help!

Answers

Answer:

Step-by-step explanation:

3x-6 = 33

= 3x = 33 + 6

= 3x = 39

x = 13

What is the value of the function
g(t) = 2(t-3)-4 for the input value t= 6?

Answers

Answer:

2

Step-by-step explanation:

Replace t with 6:

g(t) = 2(t-3)-4 becomes g(6) = 2(6-3)-4 = 2(3) - 4 = 6 - 4 = 2

DO THESE TWO PAGES
I gain: a decent grade on my rigged extra school
You gain: 25 points and brainliest

Answers

Answer:

19)A   20)A    21)A      22)C     23)D    24)D    25)B      26) A     27)B

28) A     29)B      30)A    31) The surface area of Tina's shoebox is 184a..

u can check the answers if u wantt !! :)

PLZZZZ HELP THIS IS WORTH 40 POINTS PLZZZ
I’ll give extra points!!!

Answers

Answer:

1) 15

2) 10

3) 11

4) -4

5) -8

6) 12

7) 14

8) -6

Step-by-step explanation:

Substitute the values thats all lol, if u need a more detailed explanation just comment <3

PLS HELP ME!!!!! Students are selling raffle tickets for a school fundraiser. They collect $24 for every 10 raffle tickets they sell. Suppose M is the amount of money the students collect for selling R raffle tickets. Write an equation that reflects the relationship between M and R.

Answers

My answer for this equation is M - R = and amount sold

Answer:  M=2.4R

Step-by-step explanation:

If 24 dollars are collected for every 10 tickets we can find the cost of each ticket like so...

24/10=2.4

so now we can set up our equation...

M=2.4R

this means we get M amount of money for R number of tickets sold at a rate of $2.40 each.

You cannot evaluate the square root of a __________________________. a. Positive number b. Negative number c. Zero d. Variable

Answers

Answer:

B, a negative number. negative numbers can't have square roots

Step-by-step explanation:

Hope this helps :)

B negative number, it’s not possible to get the root of a negative number because a negative times a negative is a positive

Write the word sentence as an inequality.

A number b is at least −3.

Answers

Answer:

b >= -3

The symbol > = represents "greater than OR equal to".

Help me please . . . . . . . . . . . . . Thanks

Answers

I believe the answer is -1

Plz help me out PLZ!!!!

Answers

Here’s your answer:

1.) 4x^3 + 12x^2 + 29x + 88 + 260x + 2/x^2 - 3x

2.) 2x^3 - 15x^2 + 45x - 133 + 407/x + 3

3.) -x^2 - 6x + 13 - 16/ x + 2

4.) 3x^3 - 16x^2 + 112x - 783 + 5479/ x + 7

5.) same thing as number 4

I hope this helps you :)

PLSS HELPPP ME IM BEGGING ITS FOR A TEST DUE IN 5 MINS!!!!!!!!!!!!!!!!!!

Answers

Cccccccccccccccccccccccccccccccc

Answer:

d

Step-by-step explanation:

Se tienen dos libros: uno de 240 página y otro de 160 páginas. Si los 2 libros están formados por cuadernillos con el mismo número de páginas (entre 16 y 28), ¿cuántos cuadernillos tienen en total los dos libros?

Answers

Answer:

Book of 240 pages has 12 booklets in total

Book of 160 pages has 8 booklets in total.

Total booklets both the books have in total = 20

Step-by-step explanation:

Given - There are two books: one of 240 pages and the other of 160 pages. If the 2 books are made up of booklets with the same number of pages (between 16 and 28),

To find - How many booklets do the two books have in total?

Proof -

Given that, Number of pages of a booklet is between 16 and 28.

So, The number that lies between 16 and 28 will have to divide the number of pages of both the books.

(Because given that both the books are made up of booklet with the same number of pages)

By inspection, we get

The number of pages of a booklet = 20

because

240/20 = 12 and 160/20 = 8

∴ we get

1 booklet = 20 pages

i.e.

20 pages = 1 booklet

⇒1 page = [tex]\frac{1}{20}booklet[/tex]

⇒240 pages = [tex]\frac{240}{20}booklet[/tex] = 12 booklet

So, we get

The book of 240 pages has 12 booklets in it.

Now,

1 page = [tex]\frac{1}{20}booklet[/tex]

⇒160 pages = [tex]\frac{160}{20}booklet[/tex] = 8 booklet

So, we get

The book of 160 pages has 8 booklets in it.

∴ we get

Book of 240 pages has 12 booklets in total

Book of 160 pages has 8 booklets in total.

So, Total booklets both the books have = 12 + 8 = 20

The diameter of a spherical basketball is 10 inches.
What is the volume of the basketball2
Give the exact solution.
Volume


I NEED THE ANSWER FAST HELPP PLEASE

Answers

Answer:

Step-by-step explanation:

Rounded volume: 524 cubic inches.

Step-by-step solution:

The formula for the volume of a sphere is:

Where r is the radius of the sphere.

The radius is half the diameter, therefore it is r=10/2=5

We plug it into the formula and we get:

Then we get:

If we do it in our calculator we get 523.599 that rounded to the nearest whole is 524 cubic inches .

Please help this is really hard

Answers

Answer:

The new pic will be like this , i think .

Step-by-step explanation:

Good night ^*^

Find the area of the figure.
14 m
5 m
2 m
16 m

Answers

Send a picture please

what is the awnser to (0.2 + 0.982) + 8 =

Answers

Answer:

9.182

Step-by-step explanation:

0.2 + 0.982 = 1.182

1.182 + 8 = 9.182

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