Alice is saving money at a constant rate. Suppose she initially has $70 saved, and after 2 months, she has $170 saved.

Which of these expresses the rate at which Alice is saving?


Select the correct answer below:



50 dollars per month



70 months per dollar



−50 dollars per month



50 months per dollar



100 dollars per month

Answers

Answer 1

Answer:

50 dollars per month

Step-by-step explanation:

Given

[tex]Months = 2[/tex]

[tex]Total = 170[/tex]

[tex]Initial = 70[/tex]

Required

Determine the rate of savings

Suppose in a month, she saves x amount.

In 2 months, she would save 2x

When 2x is added to the initial savings, it gives the total amount saved.

So, we have:

[tex]2x + 70 = 170[/tex]

Collect Like Terms

[tex]2x = 170 - 70[/tex]

[tex]2x = 100[/tex]

Divide both sides by 2

[tex]x = \frac{100}{2}[/tex]

[tex]x = 50[/tex]

Hence, she saves $50 dollars monthly


Related Questions

what is -6/8 in decimal from

Answers

-6/8 in decimal form is -0.75

5. Explain the relationship between roots and exponents,
You explanation should contain 4-5 complete sentences and an original example, Be sure to also include the following words:
-radicand
-root
exponent

Answers

Exponent pretty’s sure but if not it roots

the formula of ONE INTERIOR ANGLE of a REGULAR polygon.

Answers

Answer:

180° - (360/n)°, where n is the number of sides of the polygon.

Step-by-step explanation:

Polygon has n sides.

Divide the polygon radially into n congruent, isosceles triangles.

For each triangle:

 vertex angle = (360/n)°

   sum of base angles = 180° - vertex angle = 180° - (360/n)°

Each interior angle of the n-gon = 180° - (360/n)°

Leslie is buying potatoes at a store. This graph shows the relationship between the number of pounds of potatoes she buys and the total cost



Based on the graph, what is the unit cost, in dollars, of the potatoes?

Answers

Answer: It’s 0.75 is my best guess. Let me know if that wrong

Step-by-step explanation:

Answer: It’s 0.75 is my best guess. Let me know if that wronger:

Step-by-step explanation:

In Mr. Johnson’s third and fourth period class, 30% of the students scored an A or higher on a quiz. If 15 students scored an A or higher, how many students are in Mr. Johnson’s third and fourth-period classes
Answer quickly THANK YOU!!

Answers

50

15/50 is 0.3
0.3 = 30%

Answer:50

Step-by-step explanation:

15/30= 0.5 which is 1% of the class

Multiply by 100 to get 100% of the class

0.5x100 = 50

About how many years will it take for $8500 to reach $12,000 at a simple interest rate of 3.5%

Answers

Answer:12

Step-by-step explanation:

8500 x 35% = 297.50 in simple interest per year

12000 - 8500 = 3500 in interest earned in total

3500/297.5 = 11.76 number of years to make total interest from amount per year.

If you round up, almost 12 years .

3х + Ч = 2x +6
Help please will make brainiest

Answers

Answer:

answer is x = 2

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

:-))

hope it helps you

Write the following numbers in order of size
Start the smallest number first
75%, 7/10, 0.72, 0.9, 4/5

Answers

7/10,.72,75%,4/5,.9 hope this helped

Answer:

0.72 , 0.9 , 7/10 , 4/5

Step-by-step explanation:

This is how the order has to be and yeah

What is the area of the obtuse triangle below?

Answers

Answer:

eleven times nine is ninety nine

Answer:

B.

Step-by-step explanation:

Please help me?!!!!!!

Answers

Answer:

Bargain Busters shop sells the cheapest soup

Step-by-step explanation:

Bargain Busters sell 4 cans of soup for £3.76

Bargain Busters sell 1 cans of soup for

3.76÷4

=0.94

cost cutters sell 3 cans of soup for £2.85

cost cutters sell 1 cans of soup for 2.85÷3

=0.95

so

Bargain Busters<cost cutters

0.94<0.95

therefore

Bargain Busters shop sells the cheapest soup

Select the correct answer from each drop-down menu.

Joanne purchased a new computer for $1,700. She will need to pay $80 each month, Interest free, to pay off the total price of the computer. She

plans to put $150 each month in her savings account, which currently has a balance of $300.

Create an augmented matrix from a system of equations to help Joanne determine when she can pay off the total purchase price of the

computer.

Answers

Answer:

Column 1 Row 1 is 150

Column 1 Row 2 is 80

Column 2 Row 1 is -1

Column 2 Row 2 is 1

Column 3 Row 1 is -300

Column 3 Row 2 is 1,700

Step-by-step explanation:

You can trust me on this. I have done my smart calculations to ensure I am 100% correct. If you think that I am wrong then you are a moron and ignorant.

find each quotient
-18/3
-5/-1
24/-6
-10/-1
-25/5
-8/2

Answers

Answer:

-6

-5

 -4

10

-5

-4

Step-by-step explanation:

Answer:

-18/3= -6

-5/-1= -5

24/-6 = -4

- 10/-1=10

-25/5=-5

-8/2=-4

please help sort what goes where

Answers

SORT

I labeled in the picture provided a way these could be sorted. Greatest Valued Y points. That would be your explanation that states is required.

Find x. 40 pts and brainliest!

Answers

Answer: x = 6

Step-by-step explanation: In the equation "x / 2 = 3, rewrite the equation as "x = 2 x 3" and solve for "x." The solution is "x = 6."

What is the estimated probability that Aidan's bus will be late every day next
week?
O A. 1 /10 = 10%
OB. 9 /10 = 90%
O c . 0 /10 = 0 %
O'D. 5/10 = 50 % ​

Answers

Answer:

a 1/10 10%

Step-by-step explanation:

simplify the following expression. (9x^2-2x+7)+(4x^2+7x+2)

Answers

The answer is 13x^2+5x+9 i thinks that’s the answer

Given the function f(x) = 0.5 |x– 4| – 3, for what values of x is f(x) =7

O x = -24, x = 16

O x= -16, x = 24

O x= -1, x = 9

O x= 1, x= -9

Answers

Answer:

-16,24  B

Step-by-step explanation:

To solve this simplify the equation until it's just the absolute value brackets

7=.5 |x-4|-3

Add 3 to both sides and divide by .5 to get

20=|x-4|

Then solve this equation where the leftmost side is a positive and then a negative

So 20=x-4  

x=24

24 is one of our answers

Then solve it when the left side is a negative

-20=x-4

x=-16 which is the other answer

complete the equation to show how many twelfths are equivalent to 5/6

Answers

Answer:

10

Step-by-step explanation:

Let the required number be x, then we have the following equation:

1/12x = 5/61/12x = 10/121/12x = 1/12*10x = 10

Solve the Equation:
x=5 2/3=9

Answers

Answer:

sorry cnat help ya!

Step-by-step explanation:

x 16 28 44
y 8 14 22

determine whether y varies directly with x. if so find the constant of variation and write the function rule.

Answers

simple formula for that is y×2=x

PLS HELP GIVING 100 PTS I NEED IT FOR ASSIGNMENT PLS PLS HELP I GIVE BRANLIEST TOO!!!

Answers

Answer:

The percent error is 83.6.

the answer is 83.6% lol


In a pot of stationery, the ratio of paper clips to drawing pins is 4 : 5 and the
ratio of paper clips to bulldog clips is 3 : 2. Work out the ratio of paper clips to
drawing pins to bulldog clips.
I​

Answers

Sorry I just need to answer something. I Hope someone answers!!! 12345/6789

Connor is cutting a 27 inch piece of wood. He cuts off 3 inches, and then cuts the remaining piece into 6 equal lengths of x feet each.

Answers

Answer:

4

Step-by-step explanation:

31 percent converted into a decimal

Answers

31/100 = 0.31

You would just divide 31 by 100 and you’ll get you answer and I got 0.31

A DVD player is regularly priced at 79.95 and is on sale for 30% off. What is the discount?

Answers

Answer:

$2.40 or $77.55

Step-by-step explanation:

I don't know if you are asking for how much off or what, so I'm doing both

First, we have to find how much we have to take off or what is 30% of 79.95 so our equation is:

79.95 x 0.03 = 2.40

So 30% of 79.95 is $2.40

To find how much our new price sale is, we have to take that $2.40 off so our equation is:

79.95 - 2.4 = 77.55

So our discount price is $77.55

hope this helps:)

can someone please help ;)

Answers

10^2 - 6^2 = 64 = then square root it = 8

Can anyone please help me figure this problem out?​

Answers

Answer:

  x = 12

Step-by-step explanation:

Step(i):-

From graph,

             The angle of the triangle ∝ = 45°

   Given hypotenuse of the triangle

              AC = 12√2  and AB = x

Step(ii):-

we will choose sine function

            [tex]sin\alpha = \frac{opposite side}{hypotenuse}[/tex]

            [tex]sin\alpha = \frac{x}{12\sqrt{2} }[/tex]

 Given that an angle ∝ = 45°

           [tex]sin45 = \frac{x}{12\sqrt{2} }[/tex]

           [tex]\frac{1}{\sqrt{2} } = \frac{x}{12\sqrt{2} }[/tex]

           [tex]\frac{1}{1 } = \frac{x}{12}[/tex]

          x = 12

Final answer:-

x = 12

Jack and Jill both start at point A. They each walk in a straight line at an angle of 105° to each other. After 45 minutes Jack has walked 4.5km and Jill has walked 6km. How far apart are they? Round to the nearest hundredth.

Answers

Answer: The distance between them is 8.38 km

Step-by-step explanation:

Let's suppose both of them start at the point (0km, 0km), and that Jack walks along the positive x-axis, then Jill walks at an angle of 105° measured from the positive x-axis.

After 45 minutes, jack has walked 4.5km, then if his initial position was (0 km, 0 km)

Then his new position will be (4.5km, 0km)

Jill has walked 6km, but we need to write this in rectangular components.

We can think in this as a triangle rectangle, then the components will be:

x-component = 6 km*cos(105°) = -1.55 km

y-component = 6km*sin(105°) = 5.80 km

Then the new position of Jill is ( -1.55km, 5.80km)

Now, we know that the distance between two points (a, b) and (c, d) is:

Distance = √( (a - c)^2 + (b - d)^2)

Then the distance between Jill and Jack will be equal to the distance between ( -1.55km, 5.80km) and (4.5km, 0km)

This is:

Distance = √( (-1.55km - 4.5km)^2 + (5.80km - 0km)^2)

Distance = 8.38 km

This means that they are 8.38km apart.

Specify the set of B by giving a written description of It’s element where B={ 0,1,4,9,16,25}

Answers

Answer:

B = { square numbers less than 30 }.

or

B = {x/x is square of a whole number; [tex]0 \leq x \leq 5[/tex] }

Step-by-step explanation:

Given the set B

B={ 0,1,4,9,16,25}

Let us check the elements in set B.

[tex]x = 0 = 0^{2}[/tex]

[tex]x\:=\:1\:=\:1^2[/tex]

[tex]x\:=\:4\:=\:2^2[/tex]

[tex]x\:=\:9\:=\:3^2[/tex]

[tex]x\:=\:16\:=\:4^2[/tex]

[tex]x\:=\:25\:=\:5^2[/tex]

It is clear that each element in set B is a square of a whole number.

Thus, we can specify set of B by giving a written description of Its element in a variety of ways, such as:

B = { square numbers less than 30 }.

or

B = {x/x is square of a whole number; [tex]0 \leq x \leq 5[/tex] }

Consider the expression 40+24 Find the greatest common factor of the two numbers and rewrite the expression using the distributive property

Answers

Answer:

Greatest Common Factor of 40+24 is 8

Rewriting the expression using the distributive property we get             8(5+3) =8(5)+8(3)

Step-by-step explanation:

We need to F=find the greatest common factor of the two numbers 40+24 and rewrite the expression using the distributive property

Greatest Common Factor:

The greatest number that is divisible by both numbers is known as greatest common factor.

So, Greatest Common Factor of 40+24 is 8

Now, Taking 8 common we get: 8(5+3)

Distributive property:

It is written as: a(b+c) = ab+ac

So, we have 8(5+3) =8(5)+8(3)

Rewriting the expression using the distributive property we get 8(5+3) =8(5)+8(3)

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