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9514 1404 393

Answer:

  $737,289

Step-by-step explanation:

The future value of an investment P invested at rate r per year compounded monthly for t years is ...

  FV = P(1 +r/12)^(12·t)

We want to find P for the given future value, so we can solve for that:

  P = FV/(1 +r/12)^(12·t) = FV(1 +r/12)^(-12·t)

  P = $2,000,000(1 +.05/12)^(-240) = $737,289

Mr. Halpayne needs a present value of $737,289 to support his retirement.

Answer:

[tex]x=\frac{b-ac}{a+2} ; a\neq -2[/tex]

Step-by-step explanation:

Multiply both sides: by x+c

a(x+c)=[tex]\frac{b-2x}{x+c}[/tex] (x+c)

Simplify: a(x+c)=b-2x

Expand: ax+ac=b-2x

Subtract ac from both sides: ax+ac-ac=b-2x-ac

Simplify: ax=b-2x-ac

Add 2x to both sides: ax+2x=b-2x-ac+2x

Simplify: ax+2x=b-ac

Factor ax+2x: x(a+2)

x(a+2)=b-ac

Divide both sides by a+2: [tex]\frac{x(a+2)}{a+2}[/tex] = [tex]\frac{b}{a+2}[/tex] - [tex]\frac{ac}{a+2}[/tex] ; a≠-2

Simplify: [tex]x=\frac{b-ac}{a+2} ; a\neq -2[/tex]

Answer:

The first option

Step-by-step explanation:

Answer:

√(365×365)=√365²=±365

Answer:

19

Step-by-step explanation:

is this a joke?

Option D. [tex]19.[/tex]

Step-by-step explanation:

[tex]10 + 9 = 19.[/tex]

Answer:

450

Step-by-step explanation:

8+17=25

25x26=450

Answer: 500

Step-by-step explanation:

You have to do multiplication first according to PEMDAS so you do 17 times 26 and you get 442 add 8 you get 500.

Answer:

72%

Step-by-step explanation:

%/100 = is/of Write formula

x/100 = 36/50 Substitute known values

50x=3600 Cross multiply

/50   /50 Divide both sides by 50 to isolate x

x    =72

Answer:

The answer would be D

Step-by-step explanation:

Most of the points are grouped together and can be define by a line or equation so there is a correlation between the outside temperatures and the heating cost so right away we can eliminate option A

There is no such thing as a constant correlation so we can eliminate answer choice C

As the temperatures rise ( or as the x values rise) the cost of heating decreases ( or the y values decrease) This is an example of negative correlation correlation because as one value increase the other value decreases.

this is also notable from looking at the graph .

Answer:

1/3

Step-by-step explanation:

if all the boys drank out of the jug than the fraction would be 1/3

1/3+1/3+1/3=1

Answer:

9900 Students

Step-by-step explanation:

Divide 8513 by .86 to show the rest of the freshman class.

You can check by doing 9900 times .86 to see %86 of 9900

Total there are 9900 students are in the freshman class.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, 86% of a university's freshman class are majoring in Computer Science.

8514 students in the freshman class are Computer Science majors.

Let the number of students are in the freshman class be x.

Here, 86% of x=8514

86/100 ×x=8514

86x=851400

x=851400/86

x=9900

Therefore, total there are 9900 students are in the freshman class.

To learn more about the percentage visit:

brainly.com/question/24159063.

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Answer:

2. 35 degree.

Answer:

35°, 35°

Step-by-step explanation:

An isosceles triangle has 2 congruent angles.

The sum of the measures of the angles of a triangle is 180°.

A triangle cannot have 2 angles measuring 110° each since that sum alone equals 220° which is more than 180° before taking into account the measure of the third angle.

That means the angle measuring 110° must be the vertex angle. The other two angles are congruent, and each one measures x.

x + x + 110 = 180

2x + 110 = 180

2x = 70

x = 35

Answer: 35°, 35°

Answer: 9 ft2

Step-by-step explanation:

i took that test yesterday

Answer:

B: $21

Step-by-step explanation:

Answer:

4.032

Step-by-step explanation

Khan Academy

To find the critical value t^*t ∗t, start superscript, times, end superscript for a t-interval with 99% confidence and n=6, we need to use a t-distribution with degrees of freedom df=n−1=6−1=5.

A t-distribution table is a table that lists critical values for the t-distribution.

The t-distribution is a probability distribution that is used in hypothesis testing when the sample size is small or when the population standard deviation is unknown. The table lists critical values for various levels of significance and degrees of freedom.

Using a t-distribution table or calculator with 5 degrees of freedom and a 99% confidence level, we find the critical value t^*t ∗t to be approximately 4.032.

Therefore, the doctor should use t^*t ∗t = 4.032 for constructing the t-interval for the mean waiting time.

Learn more about t-distribution at:

https://brainly.com/question/13574945

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Answer:

Step-by-step explanation:

i think the anwer is c

Answer:

1) how many 1/4's are in 2/3 = 8/3

2) how many 5/12's are in 1/2?=6/5

Step-by-step explanation:

Answer:

The area of LQM is [tex]48cm^2[/tex]

Step-by-step explanation:

Given

Area of PNQ = 8

Area of LPQ = 16

See attachment for triangles

The area of PNQ is calculated as:

[tex]Area = \frac{1}{2} * PQ * PN[/tex]

Substitute 8 for Area

[tex]8 = \frac{1}{2} * PQ * PN[/tex]

[tex]PQ * PN = 16[/tex]

The area of LPQ is calculated as:

[tex]Area = \frac{1}{2} * PQ * LP[/tex]

Substitute 16 for Area

[tex]16= \frac{1}{2} * PQ * LP[/tex]

From the attachment:

[tex]PN + LP =LN[/tex]

Make LP the subject

[tex]LP = LN -PN[/tex]

So:

[tex]16= \frac{1}{2} * PQ * (LN -PN)[/tex]

We have:

[tex]16= \frac{1}{2} * PQ * (LN -PN)[/tex] and [tex]PQ * PN = 16[/tex]

Equate both expressions:

[tex]\frac{1}{2} * PQ *(LN - PN) = PQ * PN[/tex]

Divide both sides by PQ

[tex]\frac{1}{2} (LN - PN) = PN[/tex]

Multiply both sides by 2

[tex]LN - PN = 2PN[/tex]

[tex]LN= 3PN[/tex]

Since PNQ is similar to LNM, the following equivalent ratios exist:

[tex]\frac{LM}{PQ} = \frac{LN}{PN}[/tex]

Substitute [tex]LN= 3PN[/tex]

[tex]\frac{LM}{PQ} = \frac{3PN}{PN}[/tex]

[tex]\frac{LM}{PQ} = 3[/tex]

[tex]LM = 3PQ[/tex]

Area of LQM is:

[tex]Area = \frac{1}{2} * LM * LP[/tex]

This gives:

[tex]Area = \frac{1}{2} * 3PQ * LP[/tex]

[tex]Area = 3 *\frac{1}{2} *PQ * LP[/tex]

Recall that:

[tex]16= \frac{1}{2} * PQ * LP[/tex]

So:

[tex]Area = 3 *16[/tex]

[tex]Area = 48cm^2[/tex]

Answer:

72 inches equals 2 yards to get the answer you divide 72 by 36 which equals 2 .

Step-by-step explanation:

Answer:

Mean: 3

Median: 2

Mode: 1

Range: 6

Step-by-step explanation:

1.) The mean is the average of all the numbers. To find it, you add up all the numbers and then divide that by the amount of numbers. So, you would do:   7 + 2 + 1 + 4 + 1 = 15

15 ÷ 5 = 3

The mean is 3.

2.) The median is the middle number. In order to find it, you must put all the numbers in order:

1, 1, 2, 4, 7

The middle number is 2, so the median is 2.

3.) Mode is the number that appears the most often. Because 1 appears twice and the rest only appear once, the mode is 1.

4.) The range is the difference between the biggest and smallest numbers. Since 7 is the biggest number and 1 is the smallest, you would subtract them. 7-1 is 6, so the range would be 6.

Answer:

1504

Step-by-step explanation:

Given the digits :

1, 3, 5, 7

The maximum possible sum of two distinct three digit numbers formed from the digits above will be the sum of the the two hight possible three digit numbers that can be formed.

Highest three digit number = 753

Next highest = 751

The sum of these two. Values gives :

753 + 751 = 1504

Answer:

$0.10

Step-by-step explanation:

STEPS TO ANSWERING THIS QUESTION

1 ft = 12 inches

8 feet = 8 x 12 = 96 inches

price per inch = total length of the wrapping paper in inches / total cost of the wrapping paper

$9.60 / 96 = $0.10

Answer:

B

Step-by-step explanation:

Given x varies directly with y and inversely with z then the equation relating them is

x = [tex]\frac{ky}{z}[/tex] ← k is the constant of variation

To find k use the condition when x = 4 and y = 12, z = 6 , then

4 = [tex]\frac{12k}{6}[/tex] ( multiply both sides by 6 )

24 = 12k ( divide both sides by 12 )

2 = k → B

The value of the constant 'k' will be 2. Then the correct option is C.

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.

The value of x varies directly with y and inversely with z. Then the proportionality is written as,

x ∝ y                 ...1

x ∝ 1 / z            ...2

Then the combined proportionality is given as,

x ∝ y / z

x = ky / z

At x = 4, y = 12, and z = 6, then the value of the constant 'k' will be given as,

4 = 12k / 6

Simplify the equation, then the value of the constant 'k' is calculated as,

4 = 12k / 6

4 = 2k

k = 4 / 2

k = 2

The worth of the steady 'k' will be 2. Then, at that point, the right choice is C.

More about the ratio and the proportion link is given below.

https://brainly.com/question/14335762

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The answer should be -79

Given that,

Based on the above information, the calculation is as follows:

= (112 - 56) - (25 + 110)

= 56  -135

= -79

Learn more: brainly.com/question/17429689

Answer:

1/4

Step-by-step explanation:

I got it right

Answer:

Its 10 I think i could be wrong.

Step-by-step explanation:

Answer:

52 4/5

Have a nice day! :)

the answer is: 1,2,3

the inequality represents less than, meaning the value of z is less than 4

which leaves us with 3 numbers, 1, 2 and 3

Answer: x=5

Step-by-step explanation:

subtract x from both sides

-2x-x=x-15-x

-3x=15

then divide both sides by -3

-3x=-15

-3x   -3

x=5

hope this helps! please mark as brainliest! Thanks