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Answer:

He would have to invest $80,412.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

Assuming an interest rate of 3,43% compounded quarterly.

This means that [tex]r = 0.0343, n = 4[/tex]

How much would he have to invest to have $148,700 after 18 years?

This is P for which [tex]t = 18, A(t) = 148700[/tex]. So

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

[tex]148700 = P(1 + \frac{0.0343}{4})^{72}[/tex]

[tex]P = \frac{148700}{(1 + \frac{0.0343}{4})^{72}}[/tex]

[tex]P = 80412[/tex]

He would have to invest $80,412.

Answer:

3/2

Step-by-step explanation:

2y = 3x + 4

y = (3/2)x + 2

^ ^ ^ ^

y = m x + c

m = 3/2

The probability of x<4 successes is P(X <4) = 0.01909.

Binomial distributions consist of n independent Bernoulli trials.

Bernoulli trials are those trials that end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))

Suppose we have random variable X pertaining to binomial distribution with parameters n and p, then it is written as

[tex]X \sim B(n,p)[/tex]

The probability that out of n trials, there'd be x successes is given by

[tex]P(X =x) = \: ^nC_xp^x(1-p)^{n-x}[/tex]

In this question:

​n=10 p=0.15 x<4

[tex]P(X =x) = \: ^nC_xp^x(1-p)^{n-x}\\\\\\P(X < 4) = \: ^{10}C_40.15^4(1-0.15)^{10-4}\\\\\\P(X < 4) = \: ^{10}C_40.00050625(0.85)^{6}\\\\\\P(X < 4) = 0.01909[/tex]

So, P(X <4) = 0.01909.

Learn more about binomial distribution here:

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Answer:

answer is 19.2 left ........

Answer:

521,400

Step-by-step explanation:

660 times 790

The area of the rectangular park which having 660 meter and 790 meter is  521400 m².

A = l b is the formula for the Area of a Rectangle. Once the length and width of a rectangle are known, the area is calculated. The area of a rectangle can be calculated by multiplying its length and width.

The area is the amount of space covered by a flat surface of a specific shape. It is expressed as a "number of" square units. The number of unit squares that can fit into a rectangle is defined as its area. Rectangular shapes include the flat surfaces of laptop monitors, blackboards, painting canvas, and so on. The space occupied by these objects can be calculated using the area of a rectangle formula.

In this figure 1 cm = 100 m

6.6 cm * 100m = 660 m

7.9 cm * 100m = 790 m

Area of the park =  521400 m²

To learn more about area refer :

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Answer:5

Step-by-step explanation:

Answer:

10 or any number >9

Step-by-step explanation:

Side AD is 9 units long so if the scale factor is greater than 1 you multiply that side by 1.  This will give you a number such as 10 or 18 or any number that is greater than 9.

Answer:

i think it would be a) 1/8

Step-by-step explanation:

sorry if its wrong

Answer:

The answer is "When you don't deny the null hypothesis, you'll lose. Since a p-value of 0.4807 is higher than a level of significance of 0.05, the test also isn't statistically important".

Step-by-step explanation:

The state of the hypotheses values

Null hypothesis:

[tex]H_0:[/tex]There is still no connection between how the time a student invests studying for the test  and what kind of endurance sport he or she participates in.

Null hypothesis:

[tex]H_l :[/tex] There is indeed a connection between how the time a student invests studying for a test and the  type of endurance sport in that he or she participates.

Law of Rejection:

Null hypothesis value is rejects, when the P-value is less than or equal to 0.05. P-value is 0.4807,  which is greater than 0.05, based on the information provided.

Answer:

For question one: $8.28

For question two: 28 miles

Step-by-step explanation:

For question one: You divide 11.04 by 24 to get .46 the multiply that .46 by 18 to get 8.28

For question two: The ratio between the two is 7/2 and x/8. So to find x, you divide 8 by 2, getting 4. Then multiply that 4 by 7 to get 28.

The correct answer is pentagonal prism.

Answer:

Sally and Kent would have to each work a total of 15 hours to have the same amount of money in their checking account.

Step-by-step explanation:

Set up equations.

x = hours, T = total $

Sally:

T = 200 + 15x

Kent:

T = 245 + 12x

Set both equations equal to each other.

200 + 15x = 245 + 12x       (subtract 200 from both sides)

15x = 45 + 12x          (subtract 12x from both sides)

3x = 45            (divide both sides by 3)

x = 15

Answer:

A) can be used to conduct a test about a hypothesized population regression function slope.

Step-by-step explanation:

A least squares regression line is a standard technique in regression analysis used to make the vertical distance obtained from the data points running to the regression line to become very minimal or as small as possible.

In Mathematics, residuals are used to measure or determine whether or not the line of regression is a good fit or match for the data by subtracting the difference between them i.e the predicted y value and the actual y value, for the x value respectively.

The confidence interval for the sample regression function slope can be used to conduct a test about a hypothesized population regression function slope.

Answer:

- and -. =+ so-9+12=3

Step-by-step explanation:

the minus changes to plus and then we solve

9514 1404 393

Answer:

  16 square units

Step-by-step explanation:

When you plot the points, you see they define a trapezoid with bases of lengths 2 and 6, and a height of 4. The area formula is ...

  A = (1/2)(b1 +b2)h

  A = (1/2)(2 +6)(4) = 16

The area of the trapezoid is 16 square units.

Answer:

1

Step-by-step explanation:

Answer:

[tex]2 \times (7 \times 3 + {3.5}^{2} \times \pi \times 0.5) + (7 + 6 + (7 \times \pi \times 0.5)) \times 9[/tex]

Answer:

Step-by-step explanation:

4 triangles

Each of the 3 from the vertical ones has area

A = bh/2 = 10.12/2 = 60ft^2

The latter surface pointing down

A = bh/2 = 10.8.7/2 = 43.5 ft^2

SO summation of all

60+43.5 = 103.5 ft^2

Answer:

Number 4 is a right triangle whether 3 isnt.

Step-by-step explanation:

I just know this because a right triangle is always gonna have a 90 degree angle whether that number 3 doesnt have one

Answer:

43 inches

Step-by-step explanation:

Answer:

2  3   5

Step-by-step explanation:

Answer:

500

Step-by-step explanation:

is 100 is 20%, multiply 100 by 5

Answer:

C

Step-by-step explanation:

unit rate means 1 and it says that 15 per hour which shows that c is the answer

Answer:

C. Joe rides his bike 15 miles per1 hour.

Step-by-step explanation:

Key word: PER

Any time you see the words PER, EACH, stuff like that, it is unit rate. Hope this helps!

Answer: no it is 10,24,26

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

Divide 2400 by 60 to get 40

Hope this helps!

Answer:

40

-step explanation:

Answer:

5 dummy

Step-by-step explanation:

Answer:

H

Step-by-step explanation:

[tex]\frac{1}{4} + \frac{4}{5} = 1\frac{1}{20}[/tex]

Answer:

Hi, using L.C.M, It will be option H

Answer:

x = 60°

y = 50°

Step-by-step explanation:

✅x = 180° - (50° + 70°) (sum of interior angles of a triangle theorem)

x = 180° - 120°

x = 60°

✅Based on the exterior angle theorem, the sum of the opposite interior angles of a triangle = the exterior angle.

Therefore,

50° + 60° = x + y

Plug in the value of x

50° + 60° = 60° + y

110° = 60° + y

y = 110° - 60°

y = 50°