Anna opens a new savings account with a $500 deposit. She makes regular deposits of $50 each week. Suppose she makes a one-time withdrawal of $75. Which TWO expressions represent the balance of the savings account after x weeks?
A.) x + 425
B.) 50x + 425
C.) 500x - 75
D.) 50(x - 75)
E.) (50x + 500) - 75

Step-by-step explanation:

I will skip question c as there is no subject to solve.

d)

[tex] - 4 + 3(2 - x) = - 8 \\ - 4 + 6 - 3x = - 8 \\ 2 - 3x = - 8 \\ - 3x = - 8 - 2 \\ - 3x = - 10 \\ x = 10 \div 3 \\ = \frac{10}{3} \: or3 \frac{1}{3} [/tex]

e)

[tex]8 - (5 - 9x) = 7(1 - x) \\ 8 - 5 + 9x = 7 - 7x \\ 3 + 9x = 7 - 7x \\ 3 + 9x + 7x = 7 \\ 16x = 7 - 3 \\ 16x = 4 \\ x = 4 \div 16 \\ = \frac{1}{4} [/tex]

[tex] - 5 - 3(x + 1) = - ( - 4x + 1) \\ - 5 - 3x - 3 = 4x - 1 \\ - 8 - 3x = 4x - 1 \\ - 8 - 3x - 4x = - 1 \\ - 7x = - 1 + 8 \\ - 7x = 7 \\ x = 7 \div - 7 \\ = - 1[/tex]

g)

[tex]4 - \frac{6}{9} = \frac{1}{3} + x \\ 4 - \frac{2}{3} = \frac{1}{3} + x \\ x + \frac{1}{3} = 4 - \frac{2}{3} \\ x = 4 - \frac{2}{3} - \frac{1}{3} \\ = 4 - 1 \\ = 3[/tex]

[tex]\huge{\mathbb{\tt{ANSWER↓}}}[/tex]

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Answer:y=128.8 +25x

Step-by-step explanation:

Insurance plus the fee means that he has to pay $25 per day(x). 644•$0.2 is 128.8, so that represents how much driving 644 miles costs him.

Answer:

1120

Step-by-step explanation:

10 4 4 7 multiply =1120 is the answer

Answer:

Easy way to distinguish:

We see f(x) is series of:

g(x) is series of:

1. g(x) is exponential function:

2. f(x) is linear function:

Answer:

-276

Step-by-step explanation:

[tex]\sqrt[3]{6w} -w\\\\\sqrt[3]{6*288} -288\\\\\sqrt[3]{1728} -288\\\\12-288\\-276[/tex]

Answer:

True

Step-by-step explanation:

She actually earned 21 credits, which means she earned at least 4.

Lauri earned 4 credits for the year is false.

A division is a process of splitting a specific amount into equal parts.

To earn one Social Security credit, a person needs to earn a certain amount of money each year.

The amount needed for one credit changes each year and is determined by the Social Security Administration.

Given that last year Lauri earned $23,000 and earned 4 credits, we can calculate how much money she earned per credit by dividing her total earnings by the number of credits earned:

$23,000 / 4 credits = $5,750 per credit

Now we can check if $5,750 is equal to $1,090, the amount needed for one credit according to the problem.

$5,750 is not equal to $1,090, so the statement is false.

Hence,  Lauri earned 4 credits for the year is false.

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Answer:

[tex]First\ interval: \frac{1}{2} \to 2 \ inches[/tex]

[tex]Second \ interval: 3\frac{1}{2} \to 4\frac{1}{2} \ inches[/tex]

Step-by-step explanation:

Given

See attachment for complete question

Required

Complete the blanks

To do this, we simply consider the intervals of the hair lengths where they are lots of data; i.e. where frequency is greater than 1

For the first cluster, we can select the following interval

[tex]\frac{1}{2} \to 2[/tex]

Because;

hair length [tex]\frac{1}{2}[/tex] has a frequency of 3

and the data continues till hair length 2 which has a frequency of 2

For the second cluster, we can select the following interval

[tex]3\frac{1}{2} \to 4\frac{1}{2}[/tex]

Because;

hair length [tex]3\frac{1}{2}[/tex] has a frequency of 3

and the data continues till hair length [tex]4\frac{1}{2}[/tex] which has a frequency of 2

Note that, hair lengths with 0 or 1 as their frequency were not selected as part of the cluster

Answer:

198.425

Step-by-step explanation:

For this problem you just plug in numbers for the answer. Typically you will see functions in the f(x) format but this time you're given f(70) which means that 70=x so you just plug in 70 for the x on the right side of the equation and get 198.425.

Answer:

Pretty sure the first one is correct :)

Step-by-step explanation:

I hope this helps!

Answer:

34÷2= 17m^3 (it says cubed for ^3)

The prism has a volume of 17 cubic units.

Volume, which is measured in cubic units, is the 3-dimensional space occupied by matter or encircled by a surface. The cubic meter (m³), a derived unit, is the SI unit of volume. Volume is another word for capacity.

The volume of a right triangular prism is given by the formula:

V = (1/2) * b * h * l

where b is the base of the triangle, h is the height of the triangle, and l is the length of the prism.

In this case, the legs of the triangle are 1 and 2, so the base of the triangle is 1 and the height of the triangle is 2.

Therefore, we have:

V = (1/2) * 1 * 2 * 17

V = 17

So the volume of the prism is 17 cubic units.

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Answer:

C

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

you said 8 is 16% of 50 and 8 is half of 16 so that means 50 is half of 100

Answer:

the answer is 32% or 100

Answer:

Yes

Step-by-step explanation:

they are both −8b+20

Answer:

100pi

Step-by-step explanation:

pi5^5=25pi

2*2=4

25pi*4=100pi

Answer:

35

Step-by-step explanation: I used a protractor

Answer:

35 degrees.

Step-by-step explanation:

To figure this question out, we first need to understand how to solve it. We know that all the angles in a triangle add up to 180 degrees. we can imagine this is a massive triangle. We can do the following

73 + 51 + (21+x) = 180

we can do this, because we already know the other two angles, and we know part of the last angle is 21, and the other part of the last angle is x. We can add them all together.

124 + 21 + x =180

145 + x =180

35 = x

Answer:

5/15

Step-by-step explanation:

I think the answer is 5/15 because 5 of the 15 computers are currently being fixed

Answer:

d = 6

Step-by-step explanation:

Given the coordinates A(4, 6) and B(d, 12) with the gradient of AB to be 3

Gradient m = y2-y1/x2-x1

Substitute the given values

3 = 12-6/d-4

3 = 6/d-4

Cross multiply

3(d-4) = 6

Expand

3d - 3(4) = 6

3d - 12 = 6

Add 12 to both sides

3d - 12 + 12 = 6 + 12

3d = 18

Divide both sides by 3

3d/3 = 18/3

d = 6

Hence the value of d  is 6

Answer:

True

Step-by-step explanation:

Answer:

DUHHH true

Step-by-step explanation:

Good luck

Answer:

$100

Step-by-step explanation:

Answer:

mean=21, median= 14

Step-by-step explanation:

I hope this helps.

Answer:

Median = 14

Mean = 20

Step By Step Explanation:

Answer:

b=23

Step-by-step explanation:

(b+43)+(3b+45)=180

2 adjacent angles will always equal 180

Then just simplify

Answer:

105L

Step-by-step explanation:

525/5=105L

Answer:

105 L

Step-by-step explanation:

Divide 525 by 5 to get 105

Answer:

1: 55     2: 40

Step-by-step explanation:

For the first problem, by the triangle angle theorm, the three angles in a triangle add up to 180, so

90+35+x=180

125 + x = 180

x = 55

Now, the angle you just found (x = 55) and the exterior angle are supplementary so they also add up to 180

55 + y = 180

y = 125

For the second problem, the two angles in a triangle non-adjacent to the exterior angle are equal to the exterior angle, so

40 + 2x = 3x

x = 40

Answer:

Step-by-step explanation:

A

Answer:

The median would stay the same.

Step-by-step explanation:

Answer:

d = - [tex]\frac{9}{13}[/tex]

Step-by-step explanation:

Given

13d + 8 = - 1 ( subtract 8 from both sides )

13d = - 9 ( divide both sides by 13 )

d = - [tex]\frac{9}{13}[/tex]

Answer:

Step-by-step explanation:

Given ,

13d + 8 = -1

=> 13d = -1 - 8

=> 13d = -9

[tex] = > d = \frac{ - 9}{13} [/tex]

Hence,

The value of d = -9/13 (Ans)

Answer:

The answer is "[tex]\frac{3}{7}[/tex]"

Step-by-step explanation:

Please find the complete question:

The dilation scale factor will be the same:

[tex]=\frac{\text{Picture to Center Gap}}{\text{Related pre-image distance to the middle}}[/tex]

Throughout the picture, the distance is [tex]CP'=6[/tex], while the equivalent distance is [tex]CP=14[/tex]. The factor of scale is then[tex]=\frac{CP'}{CP} =\frac{6}{14} =\frac{3}{7}[/tex]

The decrease because if a factor of scale is below 1 and a factor of scale is higher than 1. Dilation is a reduction since [tex]\frac{3}{7}<1[/tex], therefore the scale factor is [tex]\frac{3}{7}[/tex].

The scale factor of the given dilation is; 6/14 and the dilation is a reduction

The image of the object undergoing transformation is missing and so i have attached it.

From the attached object, we se that CP = 14.

Also CP' = 6

Thus; Scale factor is 6/14

Now, reduction is reducing the dimensions while enlargement is increasing the dimensions by a scale factor.

Since the denominator of the scale factor is greater than the numerator, then there is a reduction.

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Answer:

I need it the answers of the hat and the dulse

Step-by-step explanation:

:)

Answer:

dulse=7

hat=30

Step-by-step explanation:

Have a nice day!

I hope I am correct tell me If I am wrong.