Your goal is to create a college fund for your child. Suppose
you find a fund that offers an APR of 5% How much should
you deposit monthly to accumulate $170,000 in 15 years?

Answer:

5/6

Step-by-step explanation:

Answer:

The answer is 5/6

Step-by-step explanation:

4        5           20             2

-   x   -       =      -      =       -

5       6            30             3

Answer:

2,3,5

Step-by-step explanation:

The equation that shows the relationship between r and w is r = w + 12 and 12 + w = r

An equation is an expression that shows the relationship between two or more numbers and variables.

Let r represent the number of minutes Diana runs and w represent the number of minutes she lifts weight.

Since Diana always spends more minutes running than lifting weights. Hence:

r = w + 12

The equation that shows the relationship between r and w is r = w + 12 and 12 + w = r

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Answer:  

199 yr

Step-by-step explanation:

Answer:

199 years

Step-by-step explanation:

Hope it helps u

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Answer:

86 - 4a^2 + 7b over 7

Step-by-step explanation:

Answer:

15x9 is 130 but, what u mean by divided by 2 fraction?

Step-by-step explanation:

135/ 2 this is correct unless you want a mixed fraction which is 67 and 1/2

Answer:

ŷ = 1.85057X1 + 0.9688X2 + 84.77516

Step-by-step explanation:

Given the data:

Weekly Gross Revenue (Y) :

97

90

96

93

95

95

94

94

Television Advertising (X1) :

5

2

5

3.5

3

4.5

2.5

3

Newspaper Advertising (X2) :

2.5

2

2.5

2.5

4.3

2.3

5.2

2.5

The regression equation obtained using a multiple regression calculator is :

ŷ = 1.85057X1 + 0.9688X2 + 84.77516

x1 and x2 are the predictor variables

y is the predicted variable (Weekly Gross Revenue).

Slope x1 = 1.85057

Slope x2 = 0.9688

Intercept = 84.77516

Answer:

4a) [tex]\frac{2}{3}[/tex] · (5 + 7)

b) 3 ÷ (3/5)

c) ([tex]\frac{2}{3}[/tex] - [tex]\frac{1}{2}[/tex]) ÷ 3

Step-by-step explanation:

Answer:

2.5x = 180

Step-by-step explanation:

106 ° + X° = 180 °  

Solving the above

X° = 180 ° - 106°

X° = 74°

Therefore the value of X° is 2.5°.

B is the correct option

The calculated quadratic function for the height of the rocket is "[tex]h = 64t - 16.085t^2[/tex]" and the further calculation of the given points can be defined as follows:

For point A):

Rocket Initial velocity (u) [tex]= 64 \ \frac{feet}{sec}[/tex]

Considering gravity's acceleration of 32.17 feet/sec2

The rocket's height can be expressed as follows:

[tex]h = ut - \frac{1}{2} \times 32.17 \times t^2 \\\\h = 64 - 16.085 \times t^2 \\\\h = 64t - 16.085t^2[/tex]

For point B):

A y-axis indicates its rocket's height in feet, whereas the x-axis represents the duration in seconds.

Please find the attached file.

For point C):

Find out more information about the velocity here:

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Answer:

a) 8.2 in^3 b) 25.8 in^3 c) 17.6 in^3

Step-by-step explanation:

volume of cone=(1/3)π(r^2)*h

a) 8.2 in^3

regular ice cream cone=(1/3)π(1.25^2)*5=8.18=8.2 in^3

b) 25.8 in^3

waffle cone=(1/3)π(1.875^2)*7=25.77=25.8 in^3

c) 17.6 in^3

waffle cone-regular ice cream cone= 25.8-8.2=17.6 in^3

Answer:

( 4, 11 ) , ( - 4, 27 )

Step-by-step explanation:

f(x) = x² - 2x + 3

f(x) = - 2x + 19

x² - 2x + 3 = - 2x + 19

x² - 16 = 0

( x + 4 )( x - 4 ) = 0

[tex]x_{1}[/tex] = - 4

[tex]x_{2}[/tex] = 4

f(x) = [tex]y_{1}[/tex] = - 2( - 4 ) + 19 = 27

[tex]y_{1}[/tex] = 27

f(x) = [tex]y_{2}[/tex] = - 2( 4 ) + 19 = 11

[tex]y_{2}[/tex] = 11

( 4, 11 ) , ( - 4, 27 )

9514 1404 393

Answer:

  e. no solution

Step-by-step explanation:

You would be looking for factors of +5 that have a sum of -4. There are none (no solution). None of the values offered in the answer choices have a product of +5.

__

The discriminant of the quadratic is (-4)² -4(1)(5) = -4, so the roots are complex.

Answer:

The minimum sizes of the homes the contractor should build is of 1692.24 square feet.

The maximum sizes of the homes the contractor should build is of 1927.76 square feet.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The average size of homes built is 1810 ft2 with a standard deviation of 92 ft2

This means that [tex]\mu = 1810, \sigma = 92[/tex]

Middle 80%:

Between the (100-80)/2 = 10th percentile and the (100+80)/2 = 90th percentule.

Minimum size:

The 10th percentule, which is X when Z has a pvalue of 0.1, so X when Z = -1.28.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-1.28 = \frac{X - 1810}{92}[/tex]

[tex]X - 1810 = -1.28*92[/tex]

[tex]X = 1692.24[/tex]

The minimum sizes of the homes the contractor should build is of 1692.24 square feet.

Maximum size:

The 90th percentule, which is X when Z has a pvalue of 0.9, so X when Z = 1.28.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.28 = \frac{X - 1810}{92}[/tex]

[tex]X - 1810 = 1.28*92[/tex]

[tex]X = 1927.76[/tex]

The maximum sizes of the homes the contractor should build is of 1927.76 square feet.

Answer:

3x - 4 = 20

3x = 20 + 4

3x = 24

x = 24/3

x = 8

Answer:

[tex]3x - 4 = 20 \\3x = 20 + 4 \\ 3x = 24 \\ 3x \div 3 = x \\ 24 \ \div 3 = 8 \\ x = 8 [/tex]

Answer:

60 units^2

Step-by-step explanation:

area of triangle=base*height/2=8*15/2=120/2=60 units^2

Answer:

The answer would be 60 units ^2

Step-by-step explanation:

To find the area of a triangle, the formula is b x h (base times height) divided by 2. So in this case, the base would be 8 and the height would be 15. 8x15 = 120 divided by 2 (since it's a triangle) and the answer would be 60.

The option that is false regarding the low credit score is that she is more likely to get a loan with a low-interest rate.

A credit score is a numerical expression that is based on a level analysis of a person's credit files, to represent the creditworthiness of an individual.

In this case, she is not likely to get a loan with a low-interest rate because of her poor credit score.

Learn more about credit score on:

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Answer:

24

Step-by-step explanation:

85.77-62.396 estimated by rounding each number to the nearest whole number is 24. I got this by first rounding 85.77 to 86. I then rounded 62.396 to 62. Next, I did 86-62= 24.

So, the answer is 24.

Answer:

23.000

Step-by-step explanation:

8-6=2

5-2=3

So you know that 23.000 is the roaded answer, you can just ignore the digits behind the decimal point in order to round

Answer:

112 teaspoons of crushed garlic

Step-by-step explanation:

56•2=112

Answer:

D and E

Step-by-step explanation: Math

Answer:

d and e

Step-by-step explanation:

419.56-75.68=343.88

199.75+143.712=343.462

Answer:

1/26

Step-by-step explanation:

There is only one 6 of hearts and only one ace of diamonds.

The probability of selecting the 6 of hearts is thus 1/52, and that of selecting the ace of diamonds is also 1/52.

The probability of selecting the 6 of hearts or the ace of diamonds is the SUM of these two results:  1/52 + 1/52 = 2/52 = 1/26.

Answer:

What is your question so I can answer it directly okay

Answer:

Longer side = 145ft

Shorter side = 135ft

Step-by-step explanation:

Here we have a rectangle.

Let's define L as the longest side (the one that is perpendicular to the wall of the house) and S as the shorter side.

We know that the perimeter of a rectangle is:

P = 2*L + 2*S

So if we wanted to fence this rectangle, we would need fencing equal to the perimeter.

But in this case, one of the shorter sides does not need to be fenced, so we only need:

2*L + S of fencing.

And we know that we will use 425ft of fencing, then:

2*L + S = 425 ft

We also know that The length of the fence opposite the house is 10 ft less than  either of the other two sides, then:

S = L - 10ft

Then we have two equations:

2*L + S = 425 ft

S = L - 10ft

Here we can just replace the second equation into the first one to get:

2*L + (L - 10ft) = 425 ft

Now we can solve this for L

2*L + L - 10ft = 425ft

3*L = 425ft + 10ft

3*L = 435ft

L = 435ft/3 = 145ft

This means that the longer side is 145ft long.

And by the equation:

S = L - 10ft

S = 145ft - 10ft = 135ft

S = 135ft

We know that the shorter side is 135ft long.

Answer:

C. 0.10

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Goes to the city playoffs

Event B: Goes to the state playoffs.

In Littletown, the probability that a baseball team goes to the city playoffs is 0.20.

This means that [tex]P(A) = 0.2[/tex]

The probability that the team goes to the state playoffs given that the team goes to the city playoffs is 0.50.

This means that [tex]P(B|A) = 0.5[/tex]

What is the probability that a randomly selected team from Littletown goes to the city and state playoffs?

This is [tex]P(A \cap B)[/tex]. So

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

[tex]P(A \cap B) = P(A)*P(B|A) = 0.2*0.5 = 0.1[/tex]

The correct answer is given by option C.

Answer:

I need help in math too so

Answer:

120 units²

Step-by-step explanation:

A= [tex]\frac{a+b}{2}[/tex]×h

A= [tex]\frac{15+15}{2}[/tex]×8

A= [tex]\frac{30}{2}[/tex]×8

A= 15×8

A= 120

Answer:

The graph shows a proportional relationship because t=50, and that pattern follows.

Step-by-step explanation:

The graph shows a proportional relationship because t=50, and that pattern follows.

The graph represent a proportional relationship between the variables d and t as distance in miles, d a car travels is proportional to the time in hours t.

The speed of a body is the rate at which it covers the total distance in the time taken. The speed of the body is given as,

[tex]s=\dfrac{d}{t}[/tex]

Here, (d) is the distance travelled by the body and (t) is the time taken by the body to cover that distance.

The graph shows the distance in miles, d, a car travels in hours. Rewrite the above formula, ​considering it for the car,

[tex]s=\dfrac{d}{t}\\t\times s={d}[/tex]

In this formula, distance in miles, d, is directly proportional to the time taken by car in hours.

It is because as the car moves, the time start to pass and so the distance car start to cover the distance. In more time, the car will cover more distance with same speed.

Thus, the graph represent a proportional relationship between the variables d and t as distance in miles, d a car travels is proportional to the time in hours t.

Learn more about the speed here:

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Answer:

D. 12

Step-by-step explanation:

93/3 = 31

155/5 = 31

248/8 = 31

In every case, you see that the number of pages is 31 times the number of hours.

For 372 pages, the number of hours is 372/31 = 12

Check: 372/12 = 31

Answer: D. 12

Answer:

D. 2

Step-by-step explanation:

The only possible outcomes that Janessa could possibly calculate would be 5 and 6. This is because a single die has 6 possible outcomes. If Janessa's friends rolled a 3 and a 4, and Janessa needs to roll something higher, then the only higher possible outcomes would be a 5 or a 6. Meaning that Janessa can only use a total of 2 desired outcomes for her to actually win the game.

Answer:

sorry i need more points

Step-by-step explanation:

Answer:

Angle of elevation = 21.167°

Step-by-step explanation:

Given:

Horizontal distance cover by rover = 180 m

Vertical distance cover by rover = 65 m

Find:

Angle of elevation

Computation:

Using trigonometry function;

Sin θ = Perpendicular / Hypotenuse

⇒ Sin θ = Vertical distance cover by rover / Horizontal distance cover by rover

⇒ Sin θ = 65 / 180

⇒ Sin θ = 0.3611

⇒ Sin⁻¹ (0.3611) = 21.167°

Angle of elevation = 21.167°