Jaime needs to buy a new refrigerator for his apartment. He found what he needed for $1,300 at a well-known appliance store. The store is offering two options for Jaime to finance the appliance:

Option I: A store credit card with a $1,500 limit:

1) The credit card charges 16.5% annual interest rate.

2) The minimum monthly payment is $100 plus the monthly finance charge.

3) No down payment required

4) The loan is expected to be paid off in12 months to avoid additional penalties.





Option II: The appliance store offers an installment loan for his purchase:

1) Loan charges a simple interest rate of 12.5%.

2) Loan must be paid off in 12 equal payments to avoid penalties.

3) A $300 down payment is required.

Answers

Answer 1

Jamie should accept the second option to buy a new refrigerator for his apartment.

What is the annual interest rate?

The annual interest rate on an amount borrowed or a loan is the increment added to the loan at a particular rate over the desired period of time.

The objective of this question is to weigh the two options and determine the best means by which Jamie could get a new refrigerator for his apartment.

Option 1:

The annual interest rate for the first card = $1300 × 16.5%

The annual interest rate = $214.5

The minimum monthly payment is $100 plus the monthly finance charge.

The monthly finance charge on a credit card can be estimated by finding the average daily balance using the Annual interest rate and the days of the billing cycle.

The monthly finance charge [tex]\mathbf{=1300\times \dfrac{0.165}{12}}[/tex]

The monthly finance charge = $17.88

Now,

The minimum monthly payment is $100 + $17.88

The minimum monthly payment for the first month = $117.88

Provided there is no down payment;

In 12 months, Jaime would have paid off the loan with an additional interest of $214.5

Total amount paid = ($117.88 × 12)+$247.5

= $1629.06

Option 2.

The appliance store offers an Installment loan;

The loan charges a simple interest rate of 12.5%;

Using;

[tex]\mathbf{S.I = \dfrac{PRT}{100}}[/tex]

Since the loan must be paid in 12 equal payments, we can say the loan is paid monthly which is equivalent to 1 year.

i.e.

Time (T) = 1 year

[tex]\mathbf{S.I = \dfrac{1300 \times 12.5 \times 1}{100}}[/tex]

S.I = $162.5

Given that;

The down payment = $300

In the total amount of $1300, Jamie has an outstanding amount of $1000 to pay.

Thus, In 12 equal payment times,

Jamie gets to pay = $1000/12

Jamie gets to pay = $83.33 each time.

Total amount paid = $162.5 + 1300

Total amount paid = $1462.5

Therefore, we can conclude that Jamie should accept the second option to buy a new refrigerator for his apartment since the total amount paid in option 2 is lesser than that of option 1.

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Related Questions

If I have a candy bar divided into 6 equal parts, and I eat 2 of the parts, what fraction of the candy bar did I eat?

Answers

Answer:

2/6 or 1/3

Step-by-step explanation:

Nothing it is just basic mathematics

Eaten part=2Total parts=6

Fraction form

[tex]\\ \tt\rightarrowtail \dfrac{2}{6}[/tex]

[tex]\\ \tt\rightarrowtail \dfrac{1}{3}[/tex]

What is the anwser to 25x6+200

Answers

Answer:

350

Step-by-step explanation:

if this is wrong or correct please let me know and sorry if its wrong which i am pretty sure it's correct :)

350

Explanation:
25•6 = 150
150 + 200 = 350

Hope this helps!

(5, 1) and (15, 16) are on the same line. What is the slope of the line? What is the y-intercept? Write the equation for the line.​

Answers

Answer:

[tex]\displaystyle 3x - 2y = 13\:or\:y = 1\frac{1}{2}x - 6\frac{1}{2} \\ [0, -6\frac{1}{2}] \\ 1\frac{1}{2} = m[/tex]

Step-by-step explanation:

First, figure the rate of change [slope] out:

[tex]\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{-1 + 16}{-5 + 15} = \frac{15}{10} = 1\frac{1}{2} \\ \boxed{1\frac{1}{2} = m}[/tex]

Now locate the initial value [y-intercept] by plugging an ordered pair into the slope-intercept formula. It does not matter which ordered pair you use:

_______________________________________________

[tex]\displaystyle y = mx + b[/tex]

16 = 1½[15] + b >> [tex]\displaystyle 16 = 22\frac{1}{2} + b; -6\frac{1}{2} = b[/tex]

OR

1 = 1½[5] + b >> [tex]\displaystyle 1 = 7\frac{1}{2} + b; -6\frac{1}{2} = b[/tex]

[tex]\displaystyle [0, -6\frac{1}{2}][/tex]

_______________________________________________

You now have your initial value. All that is left is to write the equation of this line, which can be written two ways:

> Slope-Intercept Form

[tex]\displaystyle y = 1\frac{1}{2}x - 6\frac{1}{2}[/tex]

> Standard Form [tex]\displaystyle [Ax + By = C][/tex]

y = 1½x - 6½

- 1½x - 1½x

___________

–1½x + y = –6½ [We CANNOT leave the equation this way, so multiply by –2 to eradicate the fraction\denominatour (if you wrote the equation as mixed numbers\if you wrote the equation as improper fractions).]

–2[–1½x + y = –6½]

[tex]\displaystyle 3x - 2y = 13[/tex]

With that, you have defined all the information.

[tex]\displaystyle -3x + 2y = -13[/tex]

*About this equation, INSTEAD of multiplying by –2, you multiply by its oppocite, 2. Now, you can leave it like this, but UNIVERSALLY, the A-term is positive, so you must multiply the negative out as well.

I am joyous to assist you at any time.

Suppose a company has fixed costs of $42,000 and variable cost per unit of 4/9x + 333 dollars, where x is the total number of units produced. Suppose further that the selling price of its product is 1861 − 5/9x dollars per unit.
(a) Find the break-even points. (Enter your answers as a comma-separated list.)
(b) Find the maximum revenue. (Round your answer to the nearest cent.)
(c) Form the profit function P(x) from the cost and revenue functions. Find maximum profit.
(d) What price will maximize the profit? (Round your answer to the nearest cent.) $

Answers

Answer:

C

Step-by-step explanation:

Because if you can read the whole thing u can find what you need to find

Which ordered pairs are in the solution set of the system of linear inequalities?
8
y2-4
y< -6-5-4-3-2-

Answers

Inequalities are used to represent unequal expressions

The solution to the system of inequalities is (-1,1)

How to determine the solution

The system of inequalities is given as:

y > x + 2 and

y < 2x + 3

To do this, we start by plotting the graphs of the two inequalities

y > x + 2 and  y < 2x + 3

See attachment for the graph

From the attached graph, both lines meet at (-1,1)

Hence, the solution to the system of inequalities is (-1,1)

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24. Human body temperatures have a mean of 98.2° and a
standard deviation of 0.62º. Sally's temperature has a z-score
of z= 2.1. What is her temperature? Show work.

Answers

Answer:

Step-by-step explanation:

We have been given that human body temperatures have a mean of 98.20° F and a standard deviation of 0.62°. Sally's temperature can be described by z = -1.5.

To find Sally's temperature we will use z-score formula.

, where  = Mean, = Standard deviation.

Let us substitute our given values in z-score formula.

Multiply 0.62 to both sides of equation.

Add 98.20 to both sides of equation.

Therefore, Sally's temperature will be 97.27 degrees Fahrenheit.

How do I figure out the area and perimeter of these shapes and how do you figure out the unknown side? Q9

Answers

To work out the area or perimeter of any compound shape, split the shape so that you are left with regular shapes e.g. for 9b split the shape and you will get two rectangles

Then you can easily work the area/perimeter of the shapes you made and add them up

Hope this helps :)

What is the solution to the equation below. 12 + square root 1 - 4x = 15

Answers

Answer:

C) x = -2

Step-by-step explanation:

Original equation:

[tex]12+\sqrt{1-4x}=15\\[/tex]

subtract 12 from both sides:

[tex]\implies \sqrt{1-4x}=3[/tex]

square both sides:

[tex]\implies 1-4x=9[/tex]

subtract 1 from both sides:

[tex]\implies -4x=8[/tex]

divide both sides by -4:

[tex]\implies x=-2[/tex]

[tex]\\ \tt\rightarrowtail 12+\sqrt{1-4x}=15[/tex]

[tex]\\ \tt\rightarrowtail \sqrt{1-4x}=3[/tex]

[tex]\\ \tt\rightarrowtail 1-4x=3^2[/tex]

[tex]\\ \tt\rightarrowtail 1-4x=9[/tex]

[tex]\\ \tt\rightarrowtail -4x=8[/tex]

[tex]\\ \tt\rightarrowtail x=-2[/tex]

If the polygon is translated 2 units down and 4 units left what will the coordinates of the new image be? Use prime notation in expressing the new coordinate​

Answers

Answer:

A’ is (3,-3)

B’ is (-1,-4)

C’ is (-1,2)

D’ is (3,1)

Step-by-step explanation: i forgot how i did this but i did it last week in math or somthing sorry if its wrong it was right for me

Take $27.99 from $42.79.

Answers

Answer:

14.8

Step-by-step explanation:

42.79-27.99=14.8

When subtracted $27.99 from $42.79, we get $14.8.

Subtraction is one of the most basic arithmetic operation in mathematics. Subtraction implies taking away one value from the another. Subtract x from y implies y - x. The number after from comes first. On subtraction, the sign (positive/negative) of the greater number of the two numbers given, is the sign (positive/negative) of the answer. Subtraction is also called as difference.

Given in the question,

Take $27.99 from $42.79

This implies,

= 42.79 - 27.99

= 14.8

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A fish is 12 meters below the surface of the ocean. What is its elevation?

Answers

Answer:

-12 meters because it is BELOW the surface of the ocean

Which combination of transformations can you use to show that one shape is congruent to another?
ОА.
dilations and reflections
OB.
reflections and stretches
Ос.
rotations and translations
OD.
reflections, dilations, and translations
ОЕ.
rotations, translations, and dilations

Answers

Answer: I believe is is C, rotations and translations

Step-by-step explanation:

This is because a congruent figure is one that has the same side lengths and angle measures.

Stretches and dilations are non-rigid transformations which change the length of the sides of a shape. While rotations, transformations, and reflections are rigid transformations which preserve angle measure and side length.

So, while a shape can be similar using stretches and dilations, they cannot be congruent.

Two brothers, Charles and Brian,each inherit $30000. Charles invests his inheritance ina a savings account with an annual return of 2.5 %, while Brian invest his inheritance ina CD paying 6.2% annually. How much more money than Charles does Brian have after 1 year?

Answers

Answer:

$1,110

Step-by-step explanation:

You have to use the interest formula to calculate how much each brother will have after a year.

A = P(1+r)^t

A = future/ending value

P = principle

R = interest rate

T = time (given in years)

Charles = 30,000(1+.025)^1 = 30,750

Brian = 30,000(1+.062)^1 =31,860

31,860-30,750=1,110

Brian will have $1,110 more than Charles after 1 year

How many grams are there in 4 kilograms

Answers

There are 4,000 Grams in 4 Kilograms

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Answers

The given measure of the angle in standard form, -17•π/6, gives;

A. The terminal side of the angle, -17•π/6 is located in the third quadrant

B. The reference angle is 150°

C. The values of the six trigonometric functions are;

cos(-17•π/6) = -(√3)/2sec(-17•π/6) = -2•(√3)/3sin(-17•π/6) = -0.5cosec(-17•π/6) = -2tan(-17•π/6) = (√3)/3cot(-17•π/6) = √3

What are trigonometric ratios?

Trigonometric ratios relates an angle to the ratio of the sides of a right triangle containing the angle.

A. The given measure of the angle is -17•π/6

2•π radians = 360°

π radians = 180°

-17•π/6 = -(2+(5/6))•π

Therefore, the terminal side makes one complete revolution clockwise starting from the x–axis, it then makes a further -(5/6)•π, clockwise, which is -(5/6)×180° = -150°

The terminal side therefore moving clockwise, passes the fourth quadrant and stops at the third quadrant at -150°, which is equivalent to 210° clockwise rotation from the x–axis

The terminal side is in the third quadrant

B. The reference angle is the acute angle between the terminal side and the x–axis

Therefore;

The reference angle is 150°

C. The six trigonometric functions are;

cosine, sine, tangent, cotangent, secant, and cosecant

cos(-17•π/6) = -(√3)/2sec(-17•π/6) = -2/(√3) = -2•(√3)/3sin(-17•π/6) = -0.5cosec(-17•π/6) = -2tan(-17•π/6) = (√3)/3cot(-17•π/6) = 3/(√3) = 3•√3/3 = √3

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Answer: I hope this helpful

Step-by-step explanation:

The given measure of the angle in standard form, -17•π/6, gives;A. The terminal side of the angle, -17•π/6 is located in the third quadrantB. The reference angle is 150°C. The values of the six trigonometric functions are;cos(-17•π/6) = -(√3)/2sec(-17•π/6) = -2•(√3)/3sin(-17•π/6) = -0.5cosec(-17•π/6) = -2tan(-17•π/6) = (√3)/3cot(-17•π/6) = √3What are trigonometric ratios?Trigonometric ratios relates an angle to the ratio of the sides of a right triangle containing the angle.A. The given measure of the angle is -17•π/62•π radians = 360°π radians = 180°-17•π/6 = -(2+(5/6))•πTherefore, the terminal side makes one complete revolution clockwise starting from the x–axis, it then makes a further -(5/6)•π, clockwise, which is -(5/6)×180° = -150°The terminal side therefore moving clockwise, passes the fourth quadrant and stops at the third quadrant at -150°, which is equivalent to 210° clockwise rotation from the x–axisThe terminal side is in the third quadrant B. The reference angle is the acute angle between the terminal side and the x–axisTherefore;The reference angle is 150°C. The six trigonometric functions are;cosine, sine, tangent, cotangent, secant, and cosecantcos(-17•π/6) = -(√3)/2sec(-17•π/6) = -2/(√3) = -2•(√3)/3sin(-17•π/6) = -0.5cosec(-17•π/6) = -2tan(-17•π/6) = (√3)/3cot(-17•π/6) = 3/(√3) = 3•√3/3 = √3Learn more about trigonometric ratios here:brainly.com/question/11967894#SPJ1Explore all similar answersTHANKS 25.0(3 votes)Need a bit more clarification? Get a high-quality answer with step-by-step explanations from a professional in just minutes instead!GET A VERIFIED ANSWERAdvertisementStill have questions?FIND MORE ANSWERSReady to dive into rabbit hole and unlock a badge.ASK YOUR QUESTIONHelp others with Mathematics questions+1 NEW QUESTION6 minutes agoFirst questionA regular hexagon and a regular pentagon have the same perimeter. All measurements are given in centimetres. The hexagon has a side length given by 7m +3. The pentagon has a side length given by 8m + 6. Work out the value of m.ADD ANSWER+5017 minutes ago(y)/(a)-b=(y)/(b)-a if a is not equal to bADD ANSWER+523 minutes agoFirst questionProducts A and B are made according to the bill of materials diagram shown below. Scheduled quantities of the end products are, for A, 95 units in week 4, 150 units in week 6, and 130 units in week 8, and for B, 80 units in week 3, 70 units in week 6. Lead-times: A = 2 weeks, B = 1 week.ADD ANSWER+524 minutes agoFind the compound interest earned by the deposit. Round to the nearest cent. 1) $3000 at 5% compounded semiannually for 6 years 2) $700 at 8% compounded quarterly for 5 yearsADD ANSWER+725 minutes agoFind the simple interest and the final value of the deposit that earns the given rate for the indicated length of time. Round your answers to the nearest cent. $6282 earning 9% for 9 monthsADD ANSWER+5LOAD MOREPreviousNext

solve for x. -1 = x/2 + 7

Answers

Answer:

x = -16

Step-by-step explanation:

What is HL???

HL=__

Image Below

Answers

Consider a trapezoid GJKF with:

GH=JH (hypothesis)

FL=KL (hypothesis)

so HL is the median of trapezoid GJKF

so: HL=1/2(2.5+1.2)=1.85

• Jami and Mami together had $32. Jami
said, "If you give me $5, we'll have the
same amount." How much did each
one have?

Answers

Answer:

Jami has $13.5

Mami has $18.5

Step-by-step explanation:

Let j = Jami's money

     m - Mami's money

j + m = 32

j = m -  5 (Since Jami basically has 5 less than Mami)

Substitute the j in the top equation

m - 5 + m = 32

2m - 5 = 32

Add 5 to both sides

2m - 5 = 32

2m = 37

Divide both sides by 2

2m/2 = 37/2

m = 37/2 = 18.5

Now plug the new m into the bottom equation

j = 18.5 - 5

j = 13.5

Find the value of x.
A 4
B 6
C 3
D 2

Answers

Answer: x=4

Step-by-step explanation:

Combine like terms to create an equivalent expression.
Enter any coefficients as simplified proper or improper fractions or integers.
-\dfrac65-\dfrac23v+\dfrac{4}{15}+\dfrac13v−
5
6


3
2

v+
15
4

+
3
1

v

Answers

Answer:

[tex]-\dfrac{14}{15}-\dfrac{1}{3}v[/tex]

Step-by-step explanation:

Given expression:

[tex]-\dfrac{6}{5}-\dfrac{2}{3}v+\dfrac{4}{15}+\dfrac{1}{3}v[/tex]

Collect like terms:

[tex]\implies \dfrac{4}{15}-\dfrac{6}{5}+\dfrac{1}{3}v-\dfrac{2}{3}v[/tex]

Make the denominators for the like terms the same:

[tex]\implies \dfrac{4}{15}-\dfrac{6 \times 3}{5 \times 3}+\dfrac{1}{3}v-\dfrac{2}{3}v[/tex]

[tex]\implies \dfrac{4}{15}-\dfrac{18}{15}+\dfrac{1}{3}v-\dfrac{2}{3}v[/tex]

Combine like terms:

[tex]\implies \dfrac{4-18}{15}+\dfrac{1-2}{3}v[/tex]

[tex]\implies -\dfrac{14}{15}-\dfrac{1}{3}v[/tex]

Answer:

-14/15 - 1/3w

Step-by-step explanation:

khan

Can someone please help me with this?

Answers

Answer:

Between 8 and 9

Step-by-step explanation:

We know that the equation for the volume of a cone is V = 1/3(pi)r^2h

So,

V = 1/3(pi)r^2h

150pi = 1/3(pi) r^2 h --> the pi's cancel out and then we are left with...

3(150) / h = r^2

Plug in values and simplify --> r = sqrt.(450/6) and you end up getting 8.66025403784.

Hope that helps!

HELP!! 5/6 divided by 8/11

Answers

Answer:

Look below

Step-by-step explanation:

55/48 or 1 7/48 depending if you wanted it mixed or not

Answer: Say less bucko! It’s 1.14583. Hey there’s more! The last digit for the 3 is continuous meaning it will go on forever. So the 3 has to have a bar on top. I’m sorry it’s too long!

Step-by-step explanation:

gment
What is the length of segment TS?
O 5 units
O 6 units
10 units
12 units

Answers

Answer: D) 12 units

Explanation:

There are 12 spaces between T and S.

You can count the spaces out, or subtract and use absolute value.

You could use the distance formula, but it's a bit overkill in this situation. The distance formula is only ever needed whenever we don't have horizontal or vertical line segments.

Edit: The solution has been corrected to the correct value.

what’s the answer to this geometry question??

Answers

Answer:

Step-by-step explanation:

The apothem of the square is four time lower than the area squared. Thus, to do this, we must use the formula A = s^2

Using this, we do A = s^2, and replace s for 12. Doing exponents first following order of operations (PEMDAS), we get 144. Now, that's only one side of the square. Since the square is 4 sides, we must multiply by four. Thus, your answer is (144 * 4) = 576 cm^2.

Answer: 576 cm squared.

f(x)=x^2-x+3 what is f(4)

Answers

Answer:

15

Step-by-step explanation:

In the function f(x), x is the variable. So, whatever is in the parentheses, replacing x, should replace x throughout the entire function. So, to find f(4) simply plug in 4 for x.

First, rewrite the function with 4 as x

f(4) = 4^2 - 4 + 3

Next, combine like terms

f(4) = 4^2 - 1

Then, raise 4 to the power of 2

f(4) = 16 - 1

Finally, subtract

f(4) = 15

Answer:

f(4) = 15

Step-by-step explanation:

Substitute 4 for x and solve for f(4).

[tex]f(x)=x^2-x+3\\f(4)=(4)^2-4+3\\f(4)=16-4+3\\f(4)=15[/tex]

Here are six number cards.
-5 -2 -3 2 0-1
Arrange the cards into three pars with the same total

Answers

Answer:

-5 and 2

-5 and 2-3 and 0

-5 and 2-3 and 0-2 and - 1

(When you add them you'll get - 3)

Hope this helps!

write 1/4 in a decimal and percent

Answers

Answer:

0.25 and 25%

Step-by-step explanation:

25% is the same as 1/4

0.25 is the same as 1/4

Answer:

1/4 = 0.25

1/4 = 25%

1/4 or 1 divided by 4 equals 0.25 (decimal) and 25% (percentage).

A parachutist's elevation changes by - 135 ft in 15 seconds. What is the change in the parachutist's elevation each second?
Her elevation changes ? Feet each second

Answers

[tex]\tt =\dfrac{135}{15}=9\:ft/s[/tex]

If f(x) is an exponential function where f(-2.5) = 1 and f(3.5) = 15, then find the value of f(-1.5), to the nearest hundredth.

Answers

Answer:

1.57

Step-by-step explanation:

There are 20 grams of protein in 3
ounces of sautéed fish. If the answer is
ounces, what is the question?

Answers

Answer:

How many ounces of fish per gram of protein?

Step-by-step explanation:

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