To save money you set aside $50. For each following month you set aside 10% more than the previous month.How much money will you save in a year? Explain each step.

Answer:

[tex]-\frac{1}{2}[/tex] is the slope value.

Step-by-step explanation:

By using the definition of slope (Δy/Δx), we can reason that the slope is:

[tex]\frac{-1}{2} = -0.5[/tex]

Answer:

Step-by-step explanation:

Convert a Repeating Decimal to a Fraction

Create an equation such that x equals the decimal number.

Count the number of decimal places, y. Create a second equation multiplying both sides of the first equation by 10y.

Subtract the second equation from the first equation.

Solve for x.

Reduce the fraction.

Answer:

2/3 = 0.66 repeated

Step-by-step explanation:

Answer:

2.333333333

Step-by-step explanation:

divide 3 into 7 and it's is repeating

Answer:

Step-by-step explanation:

Answer:

one over five (m-100)

Step-by-step explanation:

the answer to your question is the 2nd one

Answer:

1 / [ 5(m - 4) ] is equivalent to one over five m -20

Step-by-step explanation:

one over five(m − 4)

5(m − 4)

Factor the denominator:

1 / [ 5m - 20 ]  =  1 / [ 5(m - 4) ]

Answer:

length of segment LM is 23.

Answer:

A

Step-by-step explanation:

domain is the input and range is the output

Answer:

35

Step-by-step explanation:

47-12=35

Answer:

60 miles

Step-by-step explanation:

Answer:

Solve for  

x  by simplifying both sides of the equation, then isolating the variable.

x = − 9

Answer:

x+9

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

Answer:

21 minutes of game time.

Step-by-step explanation:

Since its every 7 minutes he reads he gets one minute of game time and reads fir 147 minutes you would divide 147 by 7 to get 21 minutes of game time. hope this helped :)

Answer:

g(x) = 2x² + 1

Step-by-step explanation:

The parabola got thinner, so to show that, you put a 2 before x² to show that the graph was dilated (or thinned) by a factor of 2 (Note: this number can also be negative, so if the dilation factor is negative, it's okay). Since the parabola shifts up by 1, you then add + 1 after x² to show the positive upward shift.

Your full equation would look like this: g(x) = 2x² + 1

Dilation: this just means that every point on the parent function was double (or whatever the factor is) in the transformed function.

Answer:

m∠A = 102°

Step-by-step explanation:

In quadrilateral ABCD, BC is perpendicular to CD

m∠BCD = 90°

(7x - 36) = 90°

7x = 90 + 36

7x = 126

x = 18

Since, m∠A = (5x + 12)

Therefore, m∠A = (5×18) + 12

                           = 90 + 12

                           = 102°

Measure of angle A = 102°

Answer: y

Step-by-step explanation:

Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients. The polynomial f(x) that has a degree of 8 will have 7 turning points.

Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non-negative exponentiation of variables involved.

For any polynomial equation, the number of turning points is always less than or equal to the degree of the polynomial.

Generally, the number of turns is one less than the degree of the polynomial.

Hence,  the polynomial f(x) that has a degree of 8 will have 7 turning points.

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Answer:

Approximately 27 times bigger

Step-by-step explanation:

Answer:

I believe the answer is D) 26.

Step-by-step explanation:

Xavier will need 26 weeks to first bike more than 500 miles.

An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the successive terms is the same.

The distance biked by Xavier during his first week of training is 15 miles.

The increase in the distance biked each week is 0.4 miles.

And we have to find the number of weeks required to first bike more than 500 miles total.

The given situation represents an arithmetic progression (AP) in which,

First term, a = 15

The common difference, d = 0.4

And the sum of n terms, Sn = 500

The formula to find the sum of n terms of an AP is,

[tex]\text{S}_n=\dfrac{n}{2}[2a+(n-1)d][/tex]

We will check which option is correct by putting them in the above equation.

For n = 8, we have

[tex]\text{S}_n = \dfrac{8}{2}[2\times15+(8-1)0.4][/tex]

Sn = 4[30+2.8]

Sn = 131.2

Which is not more than 500, so option (A) is incorrect.

For n = 15, we have

[tex]\text{S}_n = \dfrac{15}{2}[2\times15+(15-1)0.4][/tex]

Sn = 7.5[30+5.6]

Sn = 267

Which is not more than 500, so option (B) is incorrect.

For n = 19, we have

[tex]\text{S}_n = \dfrac{19}{2}[2\times15+(19-1)0.4][/tex]

Sn = 9.5[30+7.2]

Sn = 353.4

Which is not more than 500, so option (C) is incorrect.

For n = 26, we have

[tex]\text{S}_n = \dfrac{26}{2}[2\times15+(26-1)0.4][/tex]

Sn = 13[30+10]

Sn = 520

Which is more than 500, so option (D) is the correct answer.

Hence, Xavier would bike more than 500 miles in 26 weeks.

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Answer: W (-4, 5) X(-5, 6) Y (-8, 8) Z (-8, 6)

Answer:

y = -26

x = -42

Step-by-step explanation:

3x - 5y = 4

x - 2y = 10

x - 2y = 10

x = 2y + 10

3x - 5y = 4

3(2y + 10) - 5y = 4

6y + 30 - 5y = 4

y + 30 = 4

y = -26

x - 2y = 10

x - 2(-26) = 10

x + 52 = 10

x = -42

Check:

x - 2y = 10

(-42) - 2(-26) = 10

-42 + 52 = 10

10 = 10

Answer: 6

Step-by-step explanation:

1/2 = 3/6

2/3 = 4/6

Answer:

the answer would be 5:2

Answer:

LCD=72, but technically 0 because who said any kids were attending

Step-by-step explanation:

You are finding the Least common denominator I assume,

So, keep multiplying 18 by a number until you can find 8 multipled by a different number that matches the answer

18*4=72

8*9=72, hurray you done did it

The minimum number of children attending the dinner party will be 72.

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

At a dinner party with an equal number of adults and children, adults are seated at tables of exactly 8, and children are seated at tables of exactly 18.

Let 'x' and 'y' be the number of tables for adults and children. Then we have

8x = 18y

x / y = 18 / 8

x / y = 9 / 4

The minimum number of children attending the dinner party will be given as,

⇒ 4 x 18

⇒ 72

The minimum number of children attending the dinner party will be 72.

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Answer:

12$

Step-by-step explanation: 100/6 then multiply it by .72=12$

Answer

$12

Step-by-step explanation:

theres a picture on how I did it that I linked.

Answer:  y = -x + 8

Step-by-step explanation:

Use the slope given and Substitute the y and x-values from the given coordinate into the equation and solve for b

y = mx + b

1 = -1(7) + b

1 = -7 + b

8 = b

Rewrite the equation without the y and x values, substitute the value  of b

y = -x + 8

(1 disappears, as 1 is implied in multiplication but  keep the negative sign)

Answer:

750

3000 6^√3= 3602.8109

Step-by-step explanation:

i cant tell for the middle part if its

2.  ³√3 or 2³. √3

so the first answer is for the first one and the second is for the second one

Answer:

It's D. NM = 12; mK=70

Step-by-step explanation:

i just did it on edge but this for people who need it now. bc it's been a year 4 u.

Answer:

(a) Shown below

(b) 0.68

(c) 0.32

Step-by-step explanation:

The frequency distribution is:

Age Group         Financially Independent Number of Responses

  16 to 20                                                  151

  21 to 24                                                 487

  25 to 27                                                244

28 or older                                               62

    Total                                                    944

(a)

Compute the probability of being financially independent for each of the four age categories as follows:

[tex]P(\text{16 to 20})=\frac{151}{944}=0.159958\approx 0.16\\\\P(\text{21 to 24})=\frac{487}{944}=0.515890\approx 0.52\\\\P(\text{25 to 27})=\frac{244}{944}=0.258475\approx 0.26\\\\P(\text{28 or older})=\frac{62}{944}=0.065678\approx 0.06[/tex]

(b)

Compute the probability of being financially independent before the age of 25 as follows:

P (Financially Independent before 25) = P (16 to 20) + P (21 to 24)

                                                               = 0.16 + 0.52

                                                               = 0.68

Thus, the probability of being financially independent before the age of 25 is 0.68

(c)

Compute the probability of being financially independent after the age of 24 as follows:

P (Financially Independent after 24) = P (25 to 27) + P (28 or older)

                                                               = 0.26 + 0.06

                                                               = 0.32

Thus, the probability of being financially independent after the age of 24 is 0.32.

Answer: the empty set

Step-by-step explanation:

There are no real numbers x such that x>2 and x<2, simultaneously.

Answer:

x= -0.7667

Step-by-step explanation: