Simon bought furniture for his apartment for a total of $2,900. The store financed his purchase for 18 months at 0% interest, and there is no minimum monthly payment amount. Simon decides to pay nothing the first month, and then $180 per month after the first month towards the total until it's paid off.

Answers

Answer 1

Complete question :

Simon bought furniture for his apartment for a total of $2,900. The store financed his purchase for 18 months at 0% interest, and there is no minimum monthly payment amount. Simon decides to pay nothing the first month, and then $180 per month after the first month towards the total until it's paid off.

Set up an equation such that Tn represents the total amount Simon still owes after n months.

Calculate the amount Simon still owes at the end of one year after his purchase.

Answer:

Tn = 2900 - 180(n - 1)

Tn = $920

Step-by-step explanation:

Cost of furniture = $2900

Assume no interest

Amount paid in first month = 0

Constant amount to be paid after first month = $180

T amount owed after n, months :

Tn = Cost of furniture - amount to be paid per month * (Number of months - 1)

Hence,

Tn = 2900 - 180(n - 1)

Amount owed at the end of one year after purchase :

Tn = 2900 - 180(12 - 1)

Tn = 2900 - 180(11)

Tn = 2900 - 1980

Tn = $920

Answer 2

The Simon decides to pay nothing the first month, and then $180 per month after the first month towards the total until it's paid off is :

Tn = 2900 - 180(n - 1)

Tn = $920

"To understand the calculation, check below."

Interest

What all information we have ?

Cost of furniture = $2900

Assume no interest

Amount paid in first month = 0

Constant amount to be paid after first month = $180

T amount owed after n, months :

Tn = Cost of furniture - amount to be paid per month * (Number of months - 1)

Tn = 2900 - 180(n - 1)

Tn = 2900 - 180(12 - 1)

Tn = 2900 - 180(11)

Tn = 2900 - 1980

Tn = $920

The Simon decides to pay nothing the first month, and then $180 per month after the first month towards the total until it's paid off is Tn = $920.

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Related Questions

Asubmarine is only allowed to change its depth by rising toward the surface in 60-meter stages. It starts off at -340 meters.
1. At what depth is it after
1.1 stage
2. 2 stages
3.4 stages
2. How many stages will it take to return to the surface?

Answers

Answer:

stage 1 -280

stage 2 -220

stage 3 -160

stage 4 - 100

it takes 6 stages to return to the surface.

Step-by-step explanation:

If y = 4x + 3 is changed to y = 7x-1, how would the graph of the new function compare with the first
one? Describe its steepness and how it might shift.

Answers

The line is going to be steeper because the slope is bigger. The line shifts 4 units down.

Factor the polynomial using the pattern
X^2+9x+18

Answers

Answer:

(x+6)(x+3)

Step-by-step explanation

What adds to 9 and mutiplies to 18 6 and 3 so then you split 9 into 3x and 6x then take parts x^2+3x    6x+18  

                       x(x+3)          6(x+3)

                                 x+6 x+3

x^2+3x+37=-7x
I'm supposed to complete the square but my teacher did not explain it well at all. It would be really great if you showed the steps to get the answer :)

Answers

Answer:

x= -74 or -84

Step-by-step explanation:

x^2+3x+37=-7x

x^2+3x+7x+37=0

x^2+10x+37=0

this convert to following

[tex]( - b + - \sqrt{ {b}^{2} } - 4 \times a \times c) \div 2 \times a[/tex]

-b= -(10), a= 1, c =37

according to that

x= -74 or x= -84

HELP!!!

Solve for the value of x
-3x - 8 = -20
A. 4
B. 28/3
C. -28/3
D.-4|

Answers

The answer to the question is: A.4 x=4

Answer:

A. 4,  X = 4

Step-by-step explanation:

-3x - 8 = -20

Move the constant to the right-hand side and change its sign

-3x = -20 + 8

Calculate the sum

-3x + -12

Divide both sides of the equation by -3

x = 4

Solution

x = 4

A novel has 13 times as many pages as a short story. The combined number of pages in the books is 448 pages. How many pages are in each book?

Answers

12345 You’re welcome and you can work me bring least

Does anyone get this?

Answers

noo i don’t get it lol

NERDS HELP ME !!!!!!!!

Answers

Answer:

63 it's the closest

Step-by-step explanation:

Answer:

the answer is 21 π

Step-by-step explanation:

[tex]V= \pi r^{2} \frac{h}{3}[/tex]

r=3

h=7

7/3 x 3^2 = 21

=21π

Ella buys 5 packs of muffins. She uses a coupon and saves $3 off the total. Which expression represents her total cost?

A. 5m -3
B. 5 -3m
C.5+3
D. 5m + 3

Answers

Answer:

The answer is A. 5m - 3

Step-by-step explanation:

Ella bought 5 packs of muffins but since we don't know how many muffins are in each pack, we put a variable in place so it's 5m. Since she saved $3 off the total, that means you would subtract 3 from the total, so the problem would be 5m - 3

Help please and thank you!

Answers

17.5, i’m pretty sure :)

Solve the system of linear equations by elimination. 10x-9y=46 and -2x+3y=10

Answers

Answer:

y=16 and x=19

Step-by-step explanation:

Let's solve your system by elimination.

−2x+3y=10;10x−9y=46

Multiply the first equation by 5,and multiply the second equation by 1.

5(−2x+3y=10)

1(10x−9y=46)

Becomes:

−10x+15y=50

10x−9y=46

Add these equations to eliminate x:

6y=96

Then solve6y=96for y:

6y=96

6y

6

=

96

6

(Divide both sides by 6)

y=16

Write down an original equation:

−2x+3y=10

Substitute16foryin−2x+3y=10:

−2x+(3)(16)=10

−2x+48=10(Simplify both sides of the equation)

−2x+48+−48=10+−48(Add -48 to both sides)

−2x=−38

−2x

−2

=

−38

−2

(Divide both sides by -2)

x=19

Answer:

x=19 and y=16

The value of x and y on solving a system of linear equations 10x - 9y = 46 and -2x + 3y = 10 by elimination are 19 and 16 respectively.

What is equation?

A formula known as an equation uses the equals sign to denote the equality of two expressions.

Given equations:

10x - 9y = 46                              (1)

-2x + 3y = 10                             (2)

Multiply equation 2 by 3

3 (-2x + 3y) = 10 × 3  

-6x + 9y  = 30                               (3)

Add equation 3 and equation 1

10x - 9y + (-6x) + 9y = 46 + 30

4x = 76

x = 76 / 4 = 19

Put x = 19 in equation 2

-2 × 19 + 3y = 10

3y = 10 + 38

y = 48 / 3

y = 16

Therefore, the value of x and y on solving a system of linear equations 10x - 9y = 46 and -2x + 3y = 10 by elimination are 19 and 16 respectively.

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Kevin has ​$24 to buy a gift for his cousin. He found a gift for ​$22. With 5​% sales tax added​ on, will Kevin have enough money to buy the​ gift? If​ so, how much will he​ pay?

Answers

The answer is He will have enough because 5% sales tax + $22 is equal to 23.10

?????????????????????????????

Answers

Step-by-step explanation:

[tex] \underline{ \underline{ \text{Given}}} : [/tex]

∠ABC = 60° , ∠BAC = 60° & ∠ACD = x °

[tex] \underline{ \underline{ \text{To \: find}}} : [/tex]

Value of x

[tex] \underline{ \sf{∠ACD= ∠ABC\: + \: ∠BAC}}[/tex] { Exterior angle of a triangle is equal to sum of the two non - adjacent interior angles }

[tex] \sf{x \degree = 60 \degree + 60 \degree}[/tex]

[tex] \sf{x \degree = 120 \degree}[/tex]

[tex] \blue{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline{ \tt x = 120 \degree}}}}}}[/tex]

Hope I helped ! ♡

Have a wonderful day / night ! ツ

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

50 points! No wrong answers please! Will mark brainliest :)

Answers

Answer:

I'm pretty sure it's the 1 or tha last one

Answer:

[tex]y=\frac{1}{4}x-1[/tex]

Step-by-step explanation:

Parallel lines always have equal slopes. Therefore, this eliminates two options and we just need to find the y-intercept. Since the line passes through [tex](-4,-2)[/tex], we have:

[tex]-2=\frac{1}{4}(-4)+b,\\b=-1[/tex].

Therefore, the equation of the line is:

[tex]y=\frac{1}{4}x-1[/tex]

I need some help ? Does anyone know this:)I’m new too this thats why im asking loll

Answers

Answer:

C≈31.42

Step-by-step explanation:

Radius=5 (10 divided by 2)

C=2πr

Brainly plss

Which inequality is graphed on the coordinate plane?

Answers

Answer:

B

Step-by-step explanation:

The slope is 4/1 which equals 4

the y int is 2

this gives us 4x+2

the line is dotted which mean there is no equal sign with the inequality

The shaded area is above the line, meaning y is greater

Which of the following is the solution set of the given equation?
(x-3)-2(x+6)=5

Answers

Answer:

the answer is x=-20 there you go

Answer: x = - 20 Hope I Helped!!

Step-by-step explanation:

Distribute

Eliminate Redundant Parentheses

Subtract The Numbers

Combine Like Terms

Add 15 to both sides of the equation!!!

An aquarium costs $85
plus $2 per fish. Write an equation to
find the cost c of an aquarium plus
any number of fish f. Make a table to
find the cost of an aquarium plus 3, 4,
5, or 6 fish.

Answers

Answer:

C=85+2x

Step-by-step explanation:

c=85+2(3)     --   $91

c=85+2(4)     --   $93

c=85+2(5)     --   $95

c=85+2(6)     --   $97

Your favorite shoes were on sale for 35% off. The shoes have a regular price of $160. Sales tax was 4%. What is the total price paid for the shoes including the discount and tax?

Answers

Answer:

108.16

Step-by-step explanation:

calculate the volume of a pentagonal prism with: side length = 16, apothem= 11cm, and height= 4cm​

Answers

Answer:

:)

Step-by-step explanation:

The answer is ≈1761.76886

Help!!! What is the difference ? (x - 8)/(3x) - (3x)/(x ^ 2)

Answers

Answer:

Given that you're providing only a single term, asking for a difference doesn't make a lot of sense.  I assume you're asking to have the expression simplified?

If so, then it can be reduced to (x - 17) / 3x

Step-by-step explanation:

You can simplify by multiplying both terms each by a different ratio that equals one, but also gives the terms common denominator.  Multiplying the first one by x²/x² and the second by 3x/3x will do that for you.

After that you can group the terms into one fraction and simplify:

[tex]\frac{x - 8}{3x} - \frac{3x}{x^2} \\\\= \frac{x - 8}{3x}\times\frac{x^2}{x^2} - \frac{3x}{x^2} \times\frac{3x}{3x} \\\\= \frac{x^3 - 8x^2}{3x^3} - \frac{9x^2}{3x^3} \\\\= \frac{x^3 - 8x^2 - 9x^2}{3x^3} \\\\= \frac{x - 8 - 9}{3x}\\\\= \frac{x - 17}{3x}\\[/tex]

Answer:

The difference of [tex]\frac{x-8}{3x}-\frac{3x}{x^2}[/tex]  is [tex]\mathbf{\frac{x-17}{3x}}[/tex]

Step-by-step explanation:

We need to find the difference: [tex]\frac{x-8}{3x}-\frac{3x}{x^2}[/tex]

Simplifying to find the difference:

[tex]\frac{x-8}{3x}-\frac{3x}{x^2}[/tex]

x is common in both 3x and x^2 so, we can cancel it out and we get:

[tex]=\frac{x-8}{3x}-\frac{3x}{x(x)}\\=\frac{x-8}{3x}-\frac{3}{x}[/tex]

Now, taking LCM of 3x and x we get 3x, We will multiply 3x with both terms and then solve we get:

[tex]=\frac{x-8-3(3)}{3x}\\=\frac{x-8-9}{3x}\\=\frac{x-17}{3x}[/tex]

It cannot be further simplified, so we get [tex]\frac{x-17}{3x}[/tex] as answer.

So, The difference of [tex]\frac{x-8}{3x}-\frac{3x}{x^2}[/tex]  is [tex]\mathbf{\frac{x-17}{3x}}[/tex]

8
A school board voted whether to adopt new math books. Those that voted yes
out numbered those that voted no by a ratio of 5 to 1. If 18 school board
members voted, how many voted yes for new math books and how many
voted no?

Answers

Answer:

15 people voted yes and 3 people voted no.

Step-by-step explanation:

Given that:

Ratio of yes to no = 5 : 1

Total number of board members who voted = 18

Let,

x be the number of times.

5x+x = 18

6x = 18

Dividing both sides by 6

[tex]\frac{6x}{6}=\frac{18}{6}\\x=3[/tex]

People who voted yes = 5(3) = 15

People who voted no = 3

Hence,

15 people voted yes and 3 people voted no.

If Sheila drove 152 km at an average speed of 95 km/h, how much time did her trip take?

(NEED TO SHOW YOUR WORK)

Answers

1.6 hours

152 km total divided by her speed, 95 km/h =1.6

1.6 hrs

152 divided by 95 equals 1.6 hrs

Hope this helps learned in math class and that is the answer

Pls give me BRAINLIEST

i need to know the answer

Answers

Answer:

A.

Step-by-step explanation:

Combine 7 and -3 to get 4

4+7xy is the answer

Answer:

Yes, you can combine the 7 and the -3. Simplified expression is 4 + 7xy

Step-by-step explanation:

PLEASE ANSWER I WILL MARK AS BRAINLIESTTTTTT
Simplify the expression by combining like terms.

43a−12b+13a+52b
Enter your answer as an expression, like this: 42x+53

Answers

Answer:

56a + 40b

Step-by-step explanation:

hope this helps!

Answer: 56a + 40b

Step-by-step explanation:

43a - 12b + 13a + 52b

Bring like terms together

43a + 13a - 12b + 52b

Combine like terms

56a + 40b

Hope that helped!

Heyy please answer pleaseeeeee help me

Answers

Answer:

no solution

Step-by-step explanation:

Is this equation proportional? why?
y = 3x + 2x

Answers

Answer:

5x

Step-by-step explanation:

What is the range of the function graphed below?

Answers

Answer:

The range of the graph is:

-∞ <  y < 2

Hence, option C is correct.

Step-by-step explanation:

We also know that range is the set of values of the dependent variable for which a function is defined.

In other words,

Range refers to all the possible sets of output values on the y-axis.

From the given graph, we can easily observe the vertical extent of the graph is all range values  between -∞ and 2.

In other words,

The range of the function lies in the interval: ( -∞, 2)

Therefore, the range of the graph is:

-∞ <  y < 2

Hence, option C is correct.

Work out these approximate conversions. 8 miles=..... km​

Answers

Answer:

12.87 km

Step-by-step explanation:

searched it up

PLEASE ANSWER QUICKLY!

Answers

Answer:

x = -9 Its B

Step-by-step explanation:

Because it can go both ways either + or -

Answer:

d

Step-by-step explanation:

b/c |-9|+10=19  |9|+10=19   |0|+10=10

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