Matthew has $1,500 in his savings account. Currently, he pays $20 each month for an
app that he has subscribed to and $30 each month at his favorite Italian restaurant. If
he does not spend money on anything else or make any other deposits into his savings
account, for how many months can he continue to make these purchases without going
into debt?

Answers

Answer 1

Answer: 30 months

Step-by-step explanation:

Hi, to answer this question we have to write an equation:

Matthew's saving account money (1500) must be equal to the product of the amount he pays per month for the app subscription  (20) and the number of months (x); plus the product of the amount he pays per month for the Italian restaurant subscription  (30) and the number of months (x).

1500= 20x+30x

Solving for x:

1500=50x

1500/50 =x

30 months =x  

Feel free to ask for more if needed or if you did not understand something  


Related Questions

Find the midpoint of (6, 4), and (0,2).

Answers

Answer:

(3,3)

Step-by-step explanation:

Using the midpoint formula:

[tex]m=\left( \dfrac{6+0}{2},\dfrac{4+2}{2} \right)=\left( \dfrac{6}{2},\dfrac{6}{2} \right)=(3,3)[/tex]

Hope this helps!

The midpoint would be 3,3

The coordinates of points A and B are (2, 4) and (-2,-4)
respectively. What is the slope of the line that connects the two
points?
A. 2
B. 1/2
C. 1
D. 1/4​

Answers

Answer:

A

Step-by-step explanation:

slope= [tex] \frac{y1 - y2}{x1 - x2} [/tex]

Thus, slope of the line

[tex] = \frac{4 - ( - 4)}{2 - ( - 2)} \\ = \frac{4 + 4}{2 + 2} \\ = \frac{8}{4} \\ = 2[/tex]

The right answer is 2.

look at the attached picture

Hope it helps

Good luck on your assignment

If x = y, then xz = yz represents the __________ property of equality. answers : multiplication addition division subtraction

Answers

Answer:

I believe the answer is multiplication property of equality.

I hope I helped, please correct me if I'm wrong!

If f(x) = 4 - 2x^2 and g(x) = 2√x what is the value of f(g(x))? (The thing after the number 2 for g(x) is square root of x) A) 4-16x B) 4-8x C) 4-4x D) 4-2x E) 4-x

Answers

Answer:

B) 4-8x

Step-by-step explanation:

[tex]f(x) = 4 - 2x^2 \\ g(x) = 2\sqrt{x} \\ f(g(x)) = ?\\First - find- g(x)\\f(2\sqrt{x} )\\4-2(2\sqrt{x})^{2} \\4-2(4x)\\4-8x\\f(g(x))= 4-8x = B[/tex]

Use the distance formula to find the distance between (-3, 5) and (3,1).
d = StartRoot (x 2 minus x 1) squared + (y 2 minus y 1) squared EndRoot

Answers

Answer:

About 7.2

Step-by-step explanation:

Answer = [tex]\sqrt{52}[/tex]

look at image attached

Compare the repeating decimals shown with their equivalent fractions. Describe the pattern. 0.111...(repeating)= 1/9, −0.555...(repeating)= −5/9, −1.222...(repeating)= −1 2/9, 5.888...(repeating)= 5 8/9
PLEASE SONEONE HELP ME!!!!!!!!!

Answers

Answer:

The pattern in decimal expressions is that the decimal numbers are repeated immediately after the decimal point.

The pattern in the equivalent fraction is that 9 is on all fractions

Step-by-step explanation:

All the cases (0.111..., −0.555...,  −1.222... and 5.888...) are solving by the following procedure (only one example is shown):

x = 0.111111...

10x = 1.11111...

10x - x = 1.11111... - 0.111111...

9x = 1

x = 1/9

which is equivalent to express the decimal part as the tenth divided by 9. Then:

−0.555...= −5/9,

−1.222...(repeating)= −1 2/9,

5.888...(repeating)= 5 8/9

Can someone help me I was doing good and then I got stuck on this question what I can’t figure out is how you get the voltage when you only have the watt and resistance .

A 60.0 Watt lightbulb has an operating resistance of 220 Ω.

Calculate the operating voltage of this lightbulb.

Answers

Answer:

114.89 V

Step-by-step explanation:

Watts are a measure of power, and there is an equation that relates power, voltage, and resistance. It goes like this:

P=(V^2)/R

Now to find the voltage you want to solve for V

PR = V^2

V = [tex]\sqrt{PR}[/tex]

Now substitute your numbers into the equation and you get your answer

V = [tex]\sqrt{(60)(220)}[/tex]

V = [tex]\sqrt{13200}[/tex]

V = 114.89 V

Solve 54 - 10x< 20 + 7x.
O A. x 2
O B. XS-2
O c. xs2
O D. XX-2

Answers

Answer:

I think b :)

Step-by-step explanation:

use diagram to answer 3(x+6)=30

Answers

Answer:

Step-by-step explanation:

3x + 18 = 30

3x + 18 -18 = 30 - 18

3x = 12

x = 4

The answer is 4
Plug in method

3 (4)+6 =30 plug in value for x
3(4)+3(6) =30 distributive prop.
12+18=30 equals 30

What are the opposites of 9, −3.6, 2.25, and 9 1 2 ? Enter the answers in respective order, each separated by comma.

Answers

Answer:

-9, 3.6, -2.25, and -9 1 2

Step-by-step explanation:

Scott opened a savings account with $5000 and was paid simple interest at an annual rate of 3%. When Scott closed the account, he was paid $450 in interest. How long was the account open for, in years?


Thanks.

Answers

Answer: The account has been open for 3 years.

Step-by-step explanation:

yes

QUESTION 3 What is the area of the parallelogram?

Answers

Answer:

C. 275.88‬ m squared

24.2 * 11.4 = 275.88‬ m squared

Which of the following coordinate points represents the x-intercept of the equation 2x + 3y = 10?

A. (5, 0)
B. (0, 0)
C. (–4, 0)
D. (–2, 0)

Answers

A is the right one don’t worry it’s right

Answer:

A

Step-by-step explanation:

take out the 'y' and the equation is left to 2x=10 and you divide 2x and 10 by 2

Simplify the expression by combining like terms.
15 + 12x – 5x + 4y - 7

(A) 11xy + 8
(B) 7x + 4y + 8
(C) 7x + 4y - 7
(D) 15 + 11xy - 7

Answers

My guess would probably be A

Add 3 5/12 + 2 5/9 . Simplify the answer and write as a mixed number.









Answers

5 35/36, solving steps attached below

Prove : Cos^4A+sin^4A=1/4(3+cos4A)

Answers

Answer:

1 = (sin^2 A + cos^2 A)^2 = sin^4 A + cos^4 A + 2 sin^2 A cos^2 A

so

sin^4 A + cos^4 A

= 1 - 1/2 sin^2 2A

= 1 - 1/4 (1- cos 4A)

= 1/4 (3+cos 4A)

Step-by-step explanation:

hope I helped

If you want to buy an item in a store that costs $45.50 and is on sale for 10% off, then how much would the item actually cost you after the discount? Round to the nearest cent.

Answers

Answer:

$40.95

Step-by-step explanation:

Multiply 45.50 by 0.10 and get 4.55. 4.55 is the discount. Then subtract 4.55 from 45.50 and get 40.95

Answer:

$40.95

Move the decimal over to the left once and you get 10% off the all you do is subtract that from the original cost.

What is the inverse of the function f(x)= 6x-5/x+9

Answers

Answer:

To find the inverse, interchange the variables and solve for  

y .

f ^− 1 ( x )  =  − 9  −  x  −  √ (x ^2  −  18 x  +  201 )) /(12 ) , (− 9  −  x  +  √ (x ^2  −  18 x  +  201))  / (12 )

The local farmer wants to know how many gallons of water his new watering through holds solve

Answers

Answer:

35

Step-by-step explanation:

7x5= 35

i think pls correct me if im wrong

Answer:

see below

Step-by-step explanation:

We need to find the volume of the cylinder

V = pi r^2 h

V = pi * 7^2 * 5

V = pi (245)

V = 245pi ft^3

Using 3.14 as an approximation for pi

V =769.3 ft^3

If we use the pi button

V = 769.6902001 ft^3

Which best explains why the equation 7x + 3 = 7x+-3 has infinitely many
solutions?
A. The equation has a variable on goth sides.
B. The equation is true for any value of x.
O c. The equation is not true for any value ofr.

Answers

The answer is b your welcome

if y varies directly as x and y=32 when x=4 find the value of y when x=5

Answers

Answer:

y=40

Step-by-step explanation:

32 divided by 4 equals 8. And 5 times 8 equals 40.

What is Five thousand, three hundred one and ninety-six thousandths

Answers

Answer:

500030196000

Step-by-step explanation:

Five thousand = 5000

Three hundred one = 301

Ninety-six thousandths = 96000

In numbers:

500030196000

Hope this helps.

HELP ASAP PLZZZ, dhrbfjjdhehf

Answers

Answer:

45

Step-by-step explanation:

<1 and <2 are supplementary so <1+<2= 180 degrees

135+<2=180

<2= 45

Measurement would be 45

examine the number patter below 3,5,7,9,11,13,15,17

Answers

Answer: Add 2. Step-by-step explanation:If you look closely, you can see that the numbers are increasing by 2 each time.

Four data sets are shown below.

Set 1: {10, 19, 38, 50, 513

Set 2: {5, 21, 26, 39, 51}

Set 3: {9, 38, 50, 50, 513

Set 4: {5, 28, 28, 28,513

Which data set has the largest standard deviation?

Answers

Banana cupcake for dinner makes me wanna go swimming so its set 4 94 322

For these given four sets of data, Set: 4 has the largest standard deviation.

What is standard deviation for a data set?

"Standard deviation is a measure of the amount of variation or dispersion of a set of values.

A low standard deviation indicates that the values tend to be close to the mean of the set, while a high standard deviation indicates that the values are spread out over a wider range."

Set: 1 {10, 19, 38, 50, 513}

Number of terms = 5

Mean = (10 + 19 + 38 + 50 + 513)/5 = 630/5 = 126

Standard deviation

= [√{(10 - 126)² + (19 - 126)² + (38 - 126)² + (50 - 126)² + (513 - 126)²}/5]

=  [√(13456 + 1149 + 7744 + 5776 + 149769)/5]

= 188.62

Set: 2 {5, 21, 26, 39, 51}

Number of terms = 5

Mean = (5 + 21 + 26 + 39 + 513)/5 = 604/5 = 120.8

Standard deviation

= [√{(5 - 120.8)² + (21 - 120.8)² + (26 - 120.8)² + (39- 120.8)² + (513 - 120.8)²}/5]

=  [√(11193.64 + 9960.04 + 8987.04 + 6691.24 + 153820.84)/5]

= 195.27

Set: 3 {9, 38, 50, 50, 513}

Number of terms = 5

Mean = (9 + 38 + 50 + 50 + 513)/5 = 650/5 = 130

Standard deviation

= [√{(9 - 130)² + (38 - 130)² + (50 - 130)² + (50 - 130)² + (513 - 130)²}/5]

=  [√(14641 + 8464 + 6400 + 6400 + 146689)/5]

= 191.1

Set: 4 {5, 28, 28, 28,513}

Number of terms = 5

Mean = (5 + 28 + 28 + 28 + 513)/5 = 602/5 = 120.4

Standard deviation

= [√{(5 - 120.4)² + (28 - 120.4)² + (28 - 120.4)² + (28 - 120.4)² + (513 - 120.4)²}/5]

=  [√(13317.16 + 8537.76 + 8537.76 + 8537.76 + 154134.76)/5]

= 196.5

Therefore, Set: 4 has the largest standard deviation.

Learn more about standard deviation here: https://brainly.com/question/12402189

#SPJ3

John invested $700, at an interest rate of 2.5%, for 6 months. Find the interest earned.

Answers

Answer:

I think 10,500.

Step-by-step explanation:

700 multiplied by 2.5=1750

                                   x      6

                                  10,500

6t^{2} – 13 when t = 2

Answers

Answer:

11

Step-by-step explanation:

6t^2 - 13

Let t=2

6 * 2^2 -13

powers first

6 *4 -13

Multiply

24 -13

subtract

11

Answer:

[tex] = 11[/tex]

Step-by-step explanation:

[tex]6 {t}^{2} - 13[/tex]

[tex]t = 2[/tex]

[tex]6 {t}^{2} - 13 \\ 6 \times 2 \times 2 - 13 \\ 24 - 13 \\ = 11[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

1. It cost Nike $55 to make the "Kyrie 5", but it is selling for $130.19. Calculate the markup/percent Increase for the shoe.

2. The state tax is 8%. Calculate how much you will pay in taxes on the Kyrie 5.

3. You just found a coupon for 35% off! What is the new price of the shoe before taxes?

4. On Amazon, you found the same shoe for $108. What is the percent difference between the price of the original and the price of the amazon shoe?

Answers

Answer:

1)The markup/percent Increase for the shoe is 136.709%

2)Amount of tax on the Kyrie 5 is $4.4

3)The new price of the shoe before taxes is $35.75

Step-by-step explanation:

1) Cost price of Kyrie 5 = $55

Selling price =  $130.19.

Difference = 130.19-55=75.19

So, Percentage increase =[tex]\frac{Change}{CP} \times 100[/tex]

Percentage increase =[tex]\frac{75.19}{55} \times 100 =136.709\%[/tex]

2)The state tax is 8%

So, Amount of tax on the Kyrie 5. = [tex]8\% \times 55[/tex]

                                                        =[tex]\frac{8}{100} \times 55[/tex]

                                                        = 4.4

So, You will pay $4.4 in taxes on the Kyrie 5.

3)You just found a coupon for 35% off!

New price of the shoe before taxes =[tex]55-35\%(55)[/tex]

                                                            =35.75

So,the new price of the shoe before taxes is $35.75

one more last one help

Answers

Answer:

C 24

Step-by-step explanation:

Answer is 40 square feet.

How?

First, I found the area of the rectangle.

8 • 3 = 24

Then I found the area of a triangle.

Which is b • h / 2


2 • 8 / 2

16 / 2

8

And since there’s 2 triangles I added them together to get 16.

Then I added 24 and 16 and got 40.

The least common denominator of 1/2, 1/6, and 1/9 is:

Answers

Answer:

18

Step-by-step explanation:

Find the factors of each denominator

2 = 1*2

6 = 2*3

9 = 3*3

The least common multiple is

2*3*3 = 18

The least common denominator is 18

Answer:

The LCD is 18.

Step-by-step explanation:

2 = 2

6 = 2*3

9 = 3 * 3

The Least Common  Multiple =    2 * 3* 3 = 18  (because there is 1 pairs of 2's and 1 pair of 3's in the factors, so only 1 of each appear in the calculation).

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