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:

j

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

120/6=20

300/15=20

360/18=20

480/20=24

Check:

480/24=20

Answer: 20???

Step-by-step explanation:

Answer:

I am so sry i don't know

Step-by-step explanation:

Answer:

file:///C:/Users/mctas/Downloads/4_14_22Project5.05Slides.pdf

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Given:

Radius of the cone = 6

Slant height of the cone = 10

To find:

The lateral area, surface area and volume of the cone.

Solution:

Let h be the height of the cone. By Pythagoras theorem, we get

[tex]10^2=(6)^2+h^2[/tex]

[tex]100=36+h^2[/tex]

[tex]100-36=h^2[/tex]

[tex]64=h^2[/tex]

Taking square root on both sides, we get

[tex]\sqrt{64}=h[/tex]

[tex]8=h[/tex]

The lateral area of a cone is:

[tex]A_L=\pi rl[/tex]

[tex]A_L=\pi (6)(8)[/tex]

[tex]A_L=48\pi[/tex]

The surface area of a cone is:

[tex]A_S=\pi rl+\pi r^2[/tex]

[tex]A_S=\pi (6)(8)+\pi (6)^2[/tex]

[tex]A_S=48\pi +36\pi[/tex]

[tex]A_S=84\pi[/tex]

Volume of cone is:

[tex]V=\dfrac{1}{3}\pi r^2h[/tex]

[tex]V=\dfrac{1}{3}\pi (6)^2(8)[/tex]

[tex]V=\dfrac{288}{3}\pi [/tex]

[tex]V=96\pi [/tex]

Therefore, the lateral area of a cone is [tex]48\pi[/tex] sq. units, the surface area of a cone is [tex]84\pi[/tex] sq. units and the volume of the cone is [tex]96\pi[/tex] cubic units.

Answer: 4 7/6

Step-by-step explanation:

Answer:

$3.25 per gallon

Step-by-step explanation:

Answer: he paid 3.25 for each gallon

Step-by-step explanation:

Divide the money (16.25) by the gallon (5) and get 1 gallon for 3.25

Answer:

[tex](2 * 7) + (2 * 10)[/tex]

Step-by-step explanation:

The missing details in the question are:

[tex]Length = 10[/tex]

[tex]Width = 7[/tex]

Required

The perimeter

This is calculated as:

[tex]Perimeter = 2 * (Length + Width)[/tex]

So, we have:

[tex]Perimeter = 2 * (10 + 7)[/tex]

Open bracket

[tex]Perimeter = 2 * 10 + 2 * 7[/tex]

Rewrite as:

[tex]Perimeter = (2 * 7) + (2 * 10)[/tex]

Answer:

c

Step-by-step explanation:

Answer:

Gasoline 7%

Step-by-step explanation:

2500 * 0,07 = 175

Number * 0, percent = answer

Gasoline is the part of Shaquira's budget which is $175.

In mathematics, a value or ratio that can be expressed as a fraction of 100 is known as a percentage. To find the % of a number, divide it by its value, then multiply the result by 100. Since one percent (symbolized as 1%) is equal to one hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified.

As per the given data:

Shaquira's monthly income = $2,500

Monthly Budget Utilities = 18% of income

Entertainment = 9% of income

Rent = 51% of income

Gasoline = 7% of income

Food = 15% of income

To find which part is $175 let's calculate all parts:

Monthly Budget Utilities = (18/100) × 2,500 = $450

Entertainment = 9% × 2,500 = $225

Rent = 51% × 2,500 = $1275

Gasoline = 7% × 2,500 = $175

Food = 15% × 2,500 = $375

Hence, gasoline is the part of Shaquira's budget which is $175.

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Answer:

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

Step-by-step explanation:

Answer:

1/5

Step-by-step explanation:

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Answer:

One Way: 79 + 62H + 15H = X

Second Way: 79 + ((62 + 15) x H) = X

Step-by-step explanation:

Given that a plumber charges a customer a one-time service fee of $ 79, $ 62 per hour for labor, and a surcharge of $ 15 per hour due to the call being an emergency, to write an expression to represent the total charges for the plumber in two different ways, with H representing the number of hours the job takes, the following equations should be formulated:

79 + 62H + 15H = X

So, for example, if the job had lasted 2 hours, the equation would apply as follows:

79 + 62x2 + 15x2 = X

79 + 124 + 30 = X

233 = X

79 + ((62 + 15) x H) = X

In the case, if the work had lasted 1 hour, the equation would apply as follows:

79 + (62 + 15) x 1) = X

79 + 77 x 1 = X

79 + 77 = X

156 = X

The total charge when there is an emergency is $79 + $77h. The total charge when there is no emergency is $79 + $62h.

There are two ways of representing the total charges of the plumber,one when there is an emergency call and two when there is no emergency call. The total charge a function of the one-time service fee, labor charge and the surcharge.

Total charge when there is an emergency = one-time service fee + labor charge per hour + surcharge per hour

$79 + $62h + $15h

= $79 + $77h

Total charge when there is no emergency = one-time service fee + labor charge per hour

$79 + $62h

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Answer:

Approximately 110.6 grams remain at the beginning of the 17th day.

Step-by-step explanation:

At the beginning of the first day, the mass of the substance was 500 grams.

It decreases by 9% per day.

And we want to determine the mass of the sample at the beginning of the 17th day.

First, we need to find our ratio of decay. Since it decreases by 9% or 0.09 each day, the mass of the substance after each subsequent day will be 100% - 9% or 1 - 0.09 or 0.91 of the previous day.

We can write a exponential function to model this. An exponential function has the form:

[tex]f(x)=ar^x[/tex]

Where a is the initial term and r is the rate.

Let x represent the number of days after the first day. Substitute 500 for a and 0.91 for r:

[tex]f(x)=500(0.91)^x[/tex]

The 17th day is 16 days after the first day. So, the amount of mass remaining on the beginning of the 17th day is when x = 16. Substitute:

[tex]f(x)=500(0.91)^{16}[/tex]

Approximate. Therefore:

[tex]f(x)\approx110.6\text{ grams}[/tex]

Approximately 110.6 grams remain at the beginning of the 17th day.

The statement that does not model the situation:

(1) For citizens 18-29 years of age, the rate of change in voting rate was greatest between the years 2000-2004.

A confidence interval is a range of values that are constrained by the statistic's mean and that is likely to include an unidentified population parameter. The proportion of likelihood, or certainty, that the confidence interval would include the real population parameter when a random sample is drawn several times is referred to as the confidence level.

Given:

Voting rates in presidential elections from 1996-2012 are modeled below.

Voting Rates in Presidential Elections, by Age, for the Voting-Age Citizen Population: 1996-2012

The interpretation of the statements is given below;

(1) For citizens 18-29 years of age, the rate of change in voting rate was greatest between the years 2000-2004.

No, the greatest was in the year 2008.

(2) From 1996-2012, the average rate of change was positive for only two age groups.

True, the age groups are 39.6 to 45.0 and 69.1 to 72.0.

(3) About 70% of people 45 and older voted in the 2004 election.

Yes.

(4) The voting rates of eligible age groups lie between 35 and 75 percent during presidential elections every 4 years.

Yes, the interval difference is 4.

Therefore, option (1) is incorrect.

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There will be a significant difference between the two proportions. A further explanation is given below.

Thus the above is the appropriate solution.

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Аnswer is in а photo. I couldn't аttach it here, but I uploаded it to а file hosting. link below! Good Luck!

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Answer:

y= -2/3x+6

Step-by-step explanation:

Answer:

Step-by-step explanation:

32 cm

Answer:

Ok 9-8=1 times 2 = 2

Step-by-step explanation:

Answer:

x^3−5x+3x^2−15

Step-by-step explanation:

Common math

Answer:

(1, -7)

Step-by-step explanation:

If you need the work:

5x+3y =-16

5x= -3y -16

x= -3/5y - 16/5

---------------

Substitute x

-10x-3y=11

-10(-3/5y-16/5)-3y=11

y= -7

---------------

Substitute y

x= -3/5(-7) -16/5

x= 1

Answer:

YES

Step-by-step explanation:

Any line that is tangent to a circle is always perpendicular to the radius of the circle, forming a right angle at the point of tangency.

Therefore, ∆BAC is a right triangle if it satisfy the pythagorean triple rule which says that c² = b² + a²

Where,

c = the hypotenuse = 30

b = 24

a = 2(9) = 18

Thus:

30² = 24² + 9²

900 = 900 (this is true)

Therefore, line AB is tangent to circle O.

The answer is YES

Answer:

0.0803 = 8.03% probability that the number who have a high school degree as their highest educational level is exactly 32.

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they have a high school degree as their highest educational level, or they do not. The probability of an adult having it is independent of any other adult. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

30.4% of U.S. adults 25 years old or older have a high school degree as their highest educational level.

This means that [tex]p = 0.304[/tex]

100 such adults

This means that [tex]n = 100[/tex]

Determine the probability that the number who have a high school degree as their highest educational level is a. Exactly 32

This is P(X = 32).

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 32) = C_{100,32}.(0.304)^{32}.(0.696)^{68} = 0.0803[/tex]

0.0803 = 8.03% probability that the number who have a high school degree as their highest educational level is exactly 32.

Answer:

Supplementary angle.

Pls mark Brainliest :)

Step-by-step explanation:

Range is the output values which are the y values.

The dot is at y = 2 and the line moves upward to the right off the graph. This means the line will continue to infinity.

The range would be 2 to infinity.

(2, infinity)

Answer:

The answer is Equivalent 8/12 is equivalent to 2/3 so they are equivalent

Step-by-step explanation:

Answer:

36x

Step-by-step explanation:

To do something like that you have to out together the like values. In this case both 12x and 13x have the same variable so you can multiply. 12 x 3 = 36 and the stays there so the answer would be 36x

hope this helped :)

Answer:

Well yes, because it should have cost $3.2 PER gallon

Step-by-step explanation:

Divide 40 by 12.5 to find out how much of a per gallon costs! Hope it helps.

Answer:

$9052

Step-by-step explanation:

a= starting car price

(1-r)= exponential decay

r= rate

t= # of years

Equation:

a(1-r)^t

Plug in the numbers.

a= 24000   r=15%=0.15   (1-r)= 1-0.15 = 0.85  

a(1-r)^t      =      24000(0.85)^6

               =    24000(0.37714951562)

                  = 9051.588375

                    = 9052

Answer:

y=-5x-3

Step-by-step explanation:

Slope: -5/1 =-5

Y2-Y1/X2-X1=2-7/1-2=-5/1

Y-intercept: -3