Harriet used her credit card to buy a $779 laptop, which she paid off by making identical monthly payments for two and a half years. Over the six years that she kept the laptop, it cost her an average of $0.36 of electricity per day. Harriet’s credit card has an APR of 11.27%, compounded monthly, and she made no other purchases with her credit card until she had paid off the laptop. What percentage of the lifetime cost of the laptop was interest? (Assume that there were two leap years over the period that Harriet kept the laptop, and round all dollar values to the nearest cent.)
a.
7.03%
b.
13.21%
c.
11.27%
d.
6.97%

Answers

Answer 1

Answer:

7.03%

Step-by-step explanation:

Answer 2

The percentage of the life time cost which was the interest is; Choice B; 13.21%

Percentage and Interest

Since, the APR is compounded monthly at an Annual percentage rate, APR of 11.27%, it follows that;

A = 779(1+0.1127)^(2.5)

Hence, the total amount to be paid over the two and half years is; A = $1017.38.

Hence, the interest is given as;

Interest = $1017.38 - $779 = $238.38.

The cost of electricity bill at $0.36 per day, (Assuming that there were two leap years over the period).

Cost = 0.36((4×365) +(2×366))

Cost = $789.12

Hence, the lifetime cost of the laptop is; $789.12 + $1017.38 = $1806.5.

Ultimately, the required percentage is;

($238.38/$1806.5) × 100% = 13.21%

Read more on percentages and interest;

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Answers

the answer is A I hope this helps

The area of the square is
3x2 - 7x + 12. The area of the
triangle is x2 - 8x + 18. Find the
area of the shaded region.

Answers

Answer:

Area = 2x² + x - 6

Step-by-step explanation:

The area of the shaded region is the square area minus the triangle area:

[tex](3 {x}^{2} - 7x + 12) - ( {x}^{2} - 8x + 18) \\ {3x}^{2} - 7x + 12 - {x}^{2} + 8x - 18 \\ {2x}^{2} + x - 6[/tex]

Students took a survey to determine their end of year field trip. The results showed that 120 students wanted to go to an amusement park. This number represents 40% of the students who took the survey. What was the total number of students who took the survey? ​

Answers

Answer:

300

Step-by-step explanation:

Question 5
Evaluate:
Five cubed.
Write the numerical answer only.

Answers

Answer:

125

Step-by-step explanation:

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

Answer:

pretty sure it's 125

Step-by-step explanation:

hope this helps!

Consider the figure below:
20
16
6
Determine the length of TZ.
Do not include spaces, units, or commas in your response.
Enter answer here. Do not include spaces or units.

Answers

Answer:

TZ = 24

Step-by-step explanation:

Similar Triangles

If two triangles are similar, then:

* All the corresponding side lengths are proportional by the same scale factor

* All the internal angles are congruent.

The image provided in the question has two similar triangles TYZ and TWX. We have completed the shape with a variable p =TZ, whose value will be determined by applying the first similarity condition above.

The ratio between the heights is 20:16, and the proportion between the bases is (6+p):p, thus:

[tex]\displaystyle \frac{6+p}{p}=\frac{20}{16}=\frac{5}{4}[/tex]

Cross-multiplying denominators:

4(6 + p) = 5p

24 + 4p = 5p

Solving for p:

p = 24

Then, TZ = 24

solve for x x−3/11=8

x=​

Answers

Answer:

x = 91/11

Step-by-step explanation:

1. x - 3/11 = 8

2. add 3/11 to both sides of the equation

3. x = 91/11

Guys I need help please actually answer and explain! Will mark brainlest!

I need the answer for part b and c of number 23.

Answers

23 I just need points

A 500 foot tall building is a represented by a model that is 25 inches tall using the same scale what is the height of the model of a 360 foot tall building

Answers

Answer:

Step-by-step explanation:

500 divide by 25= 20

18÷360=20

simple math! i'll mark you if you get it right

Answers

Answer:

5

Step-by-step explanation:

Brainly plsss

the answer is 5 hope this helps

5x-3=12x+11

Algebra problem, pls help

Answers

Answer:

hope this helps \(owo)\

Step-by-step explanation:

Answer:

x= -2

Step-by-step explanation:

5x-3=12x+11

5x=12x+14

-7x=14

x= -2

A racetrack is in the shape of an ellipse, 180 ft long and 90 ft wide. What is the width 30 ft from a vertex?

Answers

Answer:

x

Step-by-step explanation:

6 Cassius is purchasing flower baskets to
be placed on each table at a volunteer
appreciation lunch. Store A charges $19.25
per flower basket plus a $15.00 delivery fee.
Store B charges $17.50 per flower basket
plus a $30.00 delivery fee. Which inequality
can determine x, the maximum number of
flower baskets that can be ordered for the
total cost at Store A to be less than the total
cost from Store B?
A 19.25 + 15x > 17.5 + 30x
B 19.25 + 15x< 17.5 + 30x
C 19.25x + 15 > 17.5x + 30
D 19.25x + 15 < 17.5x + 30
Lynn me

Answers

Answer:

b

Step-by-step explanation:

i took the test

x + 3x² – 28x

Can you guys help me solve this in ax^2+bx+c
Thank you thank you

Answers

Answer:

3x²+(-27x) +0

Step-by-step explanation:

The given expression is :

x + 3x² – 28x

We need to solve this in the form of ax²+bx+c.

we can write the given expression as :

3x²-28x+x = 3x²-27x

= 3x²+(-27x) +0

If we compare the given expression with the general expression, we find that,

a = 3, b = -27 and c = 0

Hence, the required equation is 3x²+(-27x) +0.

9x^2+6x factorise fully

Answers

Answer:

THX FOR THE POINT NOOB

Step-by-step explanation:

Which value is a solution to the inequality x < 4

Answers

Step-by-step explanation:

What are the options to choose from?

Total surface area of a cube is 1014cm^2. It's volume will be :
a) 2197 cm^3
b) 2297 cm^3
c) 2179 cm^3
d) 2117 cm^3

plz answer...if you answer with explanation i will surely follow you and rate 5 ​

Answers

Answer:

[tex]V=2197\ cm^3[/tex]

Step-by-step explanation:

Surface Area and Volume of a Cube

Given a cube of side length a, the surface area is:

[tex]A = 6a^2[/tex]

The volume is calculated as:

[tex]V=a^3[/tex]

It's given the surface area of a cube:

[tex]A=1014\ cm^2[/tex]

We can find the side length a by solving for a:

[tex]\displaystyle a=\sqrt{\frac{A}{6}}[/tex]

[tex]\displaystyle a=\sqrt{\frac{1014}{6}}[/tex]

[tex]\displaystyle a=\sqrt{169}[/tex]

a = 13 cm

Now compute the volume:

[tex]V=13^3[/tex]

[tex]\boxed{V=2197\ cm^3}[/tex]

Answer: a) 2197 cm^3

prove that ACE and BCF are similar

Answers

Answer:

There's no such thing as BCF.

Step-by-step explanation:

[look above]

A software company employs 450 workers. It plans to increase its workforce by 8 employees per month until it has doubled in size. Which equation can be used to determine m, the number of months it will take for the company’s workforce to double in size?

Answers

Answer:

Step-by-step explanation:

8m + 450 or 450 + 8m

Answer:

hope this helps below 0-0

Step-by-step explanation:

Order the expressions from the least number of terms to the greatest number of TERMS.

Answers

Answer:

3x⁹,  2x - 5(3x²), 8x + 2x/3 + 6, x + 3 - y - 6

Step-by-step explanation:

3x⁹ has one term, so it comes first. 2x - 5(3x²) has two terms, so it comes next.  8x + 2x/3 + 6 has three terms and comes next. The last one is x + 3 - y - 6 because it has four terms.

please help i am really struggling

Answers

Answer:

greater than...

equal

Step-by-step explanation:

welcome

2 divided by negative 1/5

Answers

Answer: 10

you have to find a common denominator between two and five which is 10. therefore making the number 2 into the fraction 20/10 and finding the common denominator of 1/5 makes it now 2/10. now divide 20 by 2 which gets you 10. and dividing 10 by 10 gets you. therefore making the new fraction 10/1 which is equal to 10. :)

The truck costs $ 9,068 including a 19% port tax. If the selling price is reduced by 20%. Find out the new car price before tax is added.​

Answers

Answer:

$ 6096

Step-by-step explanation:

Let the cost of truck = x

x+19% of x = 9068

x + 0.19x = 9068

1.19 x = 9068

      [tex]x = \frac{9068}{1.19}[/tex]

    x = 7620.17

Reduction = 20% of 7620.17

                 = 0.20 * 7620.17

                 = $ 1524.03

New price = 7620.17 -  1524.03

                  = $ 6096.14

Find area of shaded. Exact answer of pi

Answers

Area circle = pi(6^2) = 36pi
Area right triangle = 1/2(6)(6) = 18
Area shaded = 36pi - 18

(x-8)2 – 7 = 25
Factored

Answers

Answer:

x = 8 ± 4√2

Step-by-step explanation:

(x - 8)² - 7 = 25

Add 7 to both sides.

(x - 8)² = 32

Take the square root for both sides.

x - 8 = ±√32

Add 8 to both sides.

x = 8 ±√32

Simplify √32

√32 = √16 · √2

√32 = ±4√2

x = 8 ± 4√2

PLEASE HELP IM TIMED whats 1 divded by 1

Answers

Answer:

1

Step-by-step explanation:

1 divided by anything is that number. So with that information 1 divided by on would be 1.

Please help this a big part of my grade I will give brainliest o

Answers

Answer: ok what is it

Step-by-step explanation:

Suppose the amount of a popular sport Drink in bottles leaving the Filling machine has a normal distribution with me 101.5 ml and standard deviation 1.6 if 36 bottles are randomly selected, find the probability that the mean is less than 102.1ml

Answers

Answer:

0.98778

Step-by-step explanation:

Given :

Mean, m = 101.5

Standard deviation, s = 1.6

Sample size, n = 36

Sample mean, x = 102.1

P(x < 102.1)

Zscore = (x - m) / s/sqrt(n)

Zscore = (102.1 - 101.5) / (1.6/√36)

Zscore = 0.6 / 0.2666666

Z = 2.25

P(Z < 2.25) = 0.98778 (Z probability calculator)

The graph of a proportional relationship contains the point (4, 20). What is the constant of proportionality?

Enter your answer in the box.

Answers

9514 1404 393

Answer:

  5

Step-by-step explanation:

A proportional relationship has the equation ...

  y = kx . . . . . . where k is the constant of proportionality

Solving this equation for k, we get ...

  k = y/x

Filling in the given values (x, y) = (4, 20) gives ...

  k = 20/4

  k = 5

The constant of proportionality is 5.

Answer:

The answer is 1/5 =  0.2

Step-by-step explanation:

If a shirt is normally priced at $40 and sold for $24, what is the discount rate

Answers

Answer:

The discount would be 40% off.

You would save $16.00

Step-by-step explanation:

    May I have brainiest please I'm trying to level up!

                    </3 PureBeauty

40-24=16 so it’s 16 :)

How many solutions does the equation have? 2(x+3)=2x+6​

Answers

Answer:

Infinitely Many Solutions

Step-by-step explanation:

Subtract 6 from both sides of the equation

2

Answer: Infinitely many solutions
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