Ryan and Taylor are both saving money to buy new video game equipment. Ryan's savings plan can be modeled by the function s= 15m + 50 where m represents the number of months since Ryan started his plan, and s represents the amount of money saved in dollars. The table shown represents Taylor's savings plan.

Taylor's Savings Plan --- In the file (Picture).

a. Ryans rate of change is_________Taylor's rate of change.
b. Ryans starting balance is _________Taylor's starting balance.

Ryan And Taylor Are Both Saving Money To Buy New Video Game Equipment. Ryan's Savings Plan Can Be Modeled

Answers

Answer 1

a. Ryan's rate of change is $15 per month;

Taylor's rate of change is $20 per month

b. Ryan's starting balance is $50;

Taylor's starting balance is $25.

Recall:

A linear function is modelled by the equation, y = mx + b, where m is the rate of change and b is the initial value (starting value).Rate of change = change in y/change in x

Ryan's Savings Plan Function:

s = 15m + 50

Thus, the starting value (starting balance) modelled by this function is $50

The slope/rate of change is $15 per month

Taylor's Savings Plan:

Given the table, the starting value will be the amount saved (initial value) at 0 number of months.

Therefore, Taylor's starting balance is: $25

Using (0, 25) and (1, 45) find the rate of change:

Rate of change = (45 - 25)/(1-0) = 20/1 = $20

In summary:

a. Ryan's rate of change is $15 per month;

Taylor's rate of change is $20 per month

b. Ryan's starting balance is $50;

Taylor's starting balance is $25.

Learn more about linear function on:

https://brainly.com/question/15602982


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Answer: All of the them except for the last relation.

Step-by-step explanation: For a relation to be a function, it can have y-values repeat but not x-values. In the last relation, you have (6,-6,), (-3,12), (6,-1), (-8,13). Notice that the x-value of 6 repeats 2 times in this relation. You can graph this relation and use the vertical line test  and you will notice that it will touch the graph more than one time. Therefore, relations 1-4 represents functions and relation 5 does not.

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Mr Brown bought TV for a total money of 20000 including VAT of VAT is 15% then find the original price of the tv​

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Answer:

17,391.30

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crossmultiply to obtain 17,391.30 as the original price.

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Hello! :p

[tex]\sqrt{-8}[/tex]  = [tex]2i\sqrt{2}[/tex]

[tex]\sqrt{-36}[/tex] = [tex]6i[/tex]

[tex]\sqrt{-5}[/tex] = [tex]i\sqrt{5}[/tex]

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sin(x) = opp/hyp
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write 0.000046 in scientific notation ​

Answers

The answer would be 4.6 x 10^-5

Hello there! :)

Numbers in scientific notation look like this:

____x10^-

The coefficient must be between 1 and 10:

4.6x10^-

Now,the exponent is how many units we move the decimal place.

The exponent for this number is negative because the number is small.

We move the decimal point 5 times to the left.

Therefore, 0.000046 in scientific notation looks like so:

4.6x10^-5

Hope it helps.

~A lonely teen who helps others with a smile

-Grace :-)

Good luck.

The first term of an arithmetic sequence is 4 and the tenth term is 67.
What is the common difference? Show your work or explain your answer.

Answers

Answer:

Step-by-step explanation:

Formula

tn = a1 + (n-1)* d

Givens

tn = 67 (it is the last term or the nth term

n = 10

a1 = 4

find d

Solution

67 = 4 + (10 - 1)*d

67 = 4 + 9*d               Subtract 4 from both sides

67 - 4 = 9d            

63 = 9d                      Divide by 9

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7  = d

Remark: This is a fundamental application of the arithmetic sequence. You pretty much have to know how to juggle it's parts.

a class is 20% boys and 80% girls of the boys 30% wear glasses of the girls 40% wear glasses what percent of the class wears glasses??????​

Answers

Answer:

38%

Step-by-step explanation:

20%-30%, 100%-30%, 20%-6%

80%-40%, 100%-40%, 5%-2%, 80%-32%

32+6=38%

A box of 15 markers cost is $2.40 how much will a box of 40 marker’s cost

Answers

Answer:

$6.40

Step-by-step explanation:

Answer:

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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and F(2, 6)?
A.
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C.
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NICO
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3.

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Answer:
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Marcus has picture with the dimensions of 3 ft wide and 5 ft long. He would like to change the picture using a scale factor of 1/2. What are the new dimensions for the picture and is the new picture a reduction or enlargement. Explain how you know. *

Answers

Answer:

Reduction: new dimensios are 1.5ft x 2.5ft

Step-by-step explanation:

Since he is using a scale factor of 1/2, we merely multiply everything by 1/2

3 ft * 1/2 = 1.5 ft

5 ft * 1/2 = 2.5 ft

It is obviously a reduction first since the scale factor is less than one, but you can also see that the dimensions decreased.

Answer:

The new dimensions are 1.5 ft wide and 2.5 ft long. The picture would be a reduction.

Step-by-step explanation:

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Answers

Let a and b = the numbers we must find.

a + 2b = 5.....Equation A

2a + b = 13.......Equation B

We have a system of equations in two variables.

I will solve A for little a.

a + 2b = 5

a = 5 - 2b

Now I will plug 5 - 2b for a in B.

2(5 - 2b) + b = 13

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b = -1

To find a, replace b with -1 in EITHER A or B.

I will use Equation A.

a + 2b = 5

a + 2(-1) = 5

a - 2 = 5

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Understand?

convert 360minutes to hour​

Answers

360 minutes is 6 hours

Answer:

6H

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What is the value of d in meters?

Answers

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Step-by-step explanation:

the option with the isoceles triangles can NOT be just of that proof, because nowhere is it defined or proven that there is or are isoceles triangles involved. even though the picture looks like it, but that does not mean anything for the formal proof.

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HELP PLS
1) what value is located 2,3
2) what is the dimension of this matrix?
3) do you remember see matrices before today?

Answers

Question 1

Answer: 7

Explanation: The notation "2,3" tells us to go to row 2, column 3. The value 7 is at this location.

====================================================

Question 2

Answer:  3 x 4

Explanation: The dimensions refer to the number of rows and number of columns. In this case, we have 3 rows and 4 columns. The number of rows is always listed first.

====================================================

Question 3

This is something you'll have to answer yourself because it will be based off your personal experiences. There is no right answer, so feel free to answer however you wish.

You rent an apartment that costs
$
1600
$1600 per month during the first year, but the rent is set to go up 11% per year. What would be the rent of the apartment during the 10th year of living in the apartment? Round to the nearest tenth (if necessary).

Answers

Answer:

$4,750

Step-by-step explanation:

Answer:

3360

Step-by-step explanation:

1600*.11*10= 1600 *.11 = 176 * 10 = 1760 + 1600 = 3360

The terminal side of an angle θ in standard position passes through the point (3, 1). Calculate the exact values of the six trig functions for angle θ.

Answers

Answer:

sin α = [tex]\frac{y}{r}[/tex] = [tex]\frac{1}{\sqrt{10} }[/tex]

cos α = [tex]\frac{x}{r}[/tex] = [tex]\frac{3}{\sqrt{10} }[/tex]

tan α = [tex]\frac{y}{x}[/tex] = [tex]\frac{1}{3}[/tex]

cot α = [tex]\frac{x}{y}[/tex] = [tex]\frac{3}{1}[/tex]

sec α = [tex]\frac{r}{x}[/tex] = [tex]\frac{\sqrt{10} }{3}[/tex]

csc α = [tex]\frac{r}{y}[/tex] = [tex]\frac{\sqrt{10} }{1}[/tex]

Step-by-step explanation:

If the point is given on the terminal side of an angle, then:

Calculate the distance between the point given and the origin:

r = [tex]\sqrt{x^2+y^2}[/tex]

Here it is: [tex]\sqrt{3^2+1^2}[/tex] = [tex]\sqrt{9+1}[/tex] = [tex]\sqrt{10}[/tex]

So we have:

x = 3

y = 1

r = [tex]\sqrt{10}[/tex]

Now we can calculate all 6 trig, functions:

sin α = [tex]\frac{y}{r}[/tex] = [tex]\frac{1}{\sqrt{10} }[/tex]

cos α = [tex]\frac{x}{r}[/tex] = [tex]\frac{3}{\sqrt{10} }[/tex]

tan α = [tex]\frac{y}{x}[/tex] = [tex]\frac{1}{3}[/tex]

cot α = [tex]\frac{x}{y}[/tex] = [tex]\frac{3}{1}[/tex]

sec α = [tex]\frac{r}{x}[/tex] = [tex]\frac{\sqrt{10} }{3}[/tex]

csc α = [tex]\frac{r}{y}[/tex] = [tex]\frac{\sqrt{10} }{1}[/tex]

Find the exact value of sin 29π/6
Group of answer choices

a 3/4

b 1/2

c -3/5

d 0

Answers

Answer:

b

Step-by-step explanation:

Remove full rotations of  

2

π

until the angle is between  

0

and  

2

π

.

sin

(

5

π

6

)

Apply the reference angle by finding the angle with equivalent trig values in the first quadrant.

sin

(

π

6

)

The exact value of  

sin

(

π

6

)

is  

1

2

.

1

2

The result can be shown in multiple forms.

Exact Form:

1

2

Decimal Form:

0.5

The decimal form is 0.5
And it’s b. 1/2

When testing a claim that the majority of adult Americans are against the death penalty for a person convicted of murder, a random sample of 491 adults is obtained, and 27% of them are against the death penalty (based on data from a Gallup poll). Find the P-value. Round to 4 decimals when necessary.

Answers

Using the z-distribution, it is found that the p-value is of 1.

At the null hypothesis, it is tested that the majority is not against the death penalty, that is:

[tex]H_0: p \neq 0.5[/tex]

At the alternative hypothesis, it is tested that the majority is against the death penalty, that is:

[tex]H_1: p > 0.5[/tex]

The test statistic is given by:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

In which:

[tex]\overline{p}[/tex] is the sample proportion. p is the proportion tested at the null hypothesis. n is the sample size.

In this problem, the parameters are: [tex]\overline{p} = 0.27, p = 0.5, n = 491[/tex].

Then, the value of the test statistic is:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

[tex]z = \frac{0.27 - 0.5}{\sqrt{\frac{0.5(0.5)}{491}}}[/tex]

[tex]z = -10.19[/tex]

Using a z-distribution calculator, for a right-tailed test, as we are testing if the proportion is greater than a value, the p-value is of 1.

A similar problem is given at https://brainly.com/question/16313918

The store ordered an equal amount of flour and rice. Flour is packed in 60 kg and rice in 50 kg. How many kilograms of flour and rice will you order if the store warehouse has a maximum of 22 bags?​

Answers

The answer would be 5

hello, please answer
if
[tex] \frac{a}{b} = \frac{c}{d} = \frac{2}{5} [/tex]
then what is the answer of
[tex] \frac{a + 3c + 4}{b + 3d + 10} [/tex]

Answers

Step-by-step explanation:

Given,

a/b = c/d = 2/5

=> a + 3c + 4/b + 3d + 10

=> (a/b) + (3c/3d) + (4/10)

=> 2/5 + 3(c/d) + 4/10

=> 2/5 + 3(2/5) + 4/10

=> 2/5 + 6/5 + 2/5

=> 2 + 6 + 2/5

=> 10/5

=> 2

please answer quickly!!​

Answers

Answer:

Slope: 4

Intercept: 9

Step-by-step explanation:

Hope this helped! :)

Brian and Andie were calculating their total money saved to see if they could buy a game to share. Andie notices that she has 24 more dollars than Brian. If together they have $72, how much money does Brian and Andie have? ​

Answers

Answer:

Andie has 48 and Brian has 24

hope it's correct

What is the slope?
Please help me

Answers

Answer:

1/2

Step-by-step explanation:

slope is rise over run. Choose two points on the line that are whole numbers. Then put the rise (1) over run (2)

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