Reduce 17/5 to It lowest term
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The formula for continuously compounded interest is:

A = P * e^(rt)

where:

A is the final amount

P is the initial amount (the principal)

r is the annual interest rate (in decimal form)

t is the number of years the interest is compounded

Substituting in the given values, we get:

A = $28,000 * e^(0.0525 * 4) = $28,000 * e^0.21 = $28,000 * 1.23 = $28000*1.23 = 34,540

Therefore, there will be $34,540 in the account after 4 years.

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Answer:

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Number of marbles:

Total number:

Probability of getting a blue marble:

Since the second marble is selected with replacement, the probability of the second blue marble is same, so the probability of two blue marbles is:

[tex] \sf \: Probability _{(Blue)}=2/10×2/10 \\ \\ \sf Probability _{(Blue)}= \frac{1}{25} [/tex]

Answer:

  d.  45°

Step-by-step explanation:

You want to know which from your list is a standard elbow angle.

An elbow is a pipe fitting that is used to change the direction of piping. Elbows can be used together to produce an offset and/or a change in the plane of the piping.

Standard elbow angles commonly are 90°, 45°, and, less commonly, 22.5°. The greater the angle, and/or the smaller the bend radius, the more resistance to flow it has.

The best choice of answer here is 45°.

__

Additional comment

The typical elbow has the same kind of threads on both sides. A "street elbow" has male threads on one side and female threads on the other side.

Elbow joints are not necessarily threaded. They may also be soldered, welded, or compression joints.

Step-by-step explanation:

that is a college level question ? and you don't know the answer ?

that is basic, basic, basic ...

you go on the x-axis to -2.

from there you go either up or down and look at what y-value are you crossing the functional curve.

it is -1.

so, the "output" for x = -2 is y = -1. or simply -1.

Answer:

3750

I wish you luck in your assignments.

Answer:

62 degrees.

Step-by-step explanation:

I think this because it appears that ABC makes a 90 degree angle and I would think that you would just subtract 28 from 90 and get 62.

Hope it helps! =D

The probability that a rental car delivered to the firm will need a tune-up is 0.05% and the conditional probability is 0.04%

The probability that a rental car delivered to the firm will need a tune-up

From the question, we have the following parameters that can be used in our computation:

Agency 1 = 0.42%,   Tune up from agency 1 = 0.08%

Agency 2 = 0.08%,   Tune up from agency 2 = 0.02%

Agency 3 = 0.5%,    Tune up from agency 3 = 0.02%

Using total probability, we have the following equation

P(tune-up) = P(tune-up | agency 1) * P(agency 1) + P(tune-up | agency 2) * P(agency 2) + P(tune-up | agency 3) * P(agency 3)

Substitute the known values in the above equation, so, we have the following representation

P(tune-up) = 0.08% * 0.42% + 0.02% * 0.08% + 0.02% * 0.5%

Evaluate the sum of products

P(tune-up) = 0.000452

Express as percentage and approximate

P(tune-up) = 0.05%

(b) The probability that it came from agency 2

This is a conditional probability, and it calculated as

P(Agency 2| Tune up) = P(Tune up and Agency 2)/P(Tune up)

Substitute the known values in the above equation, so, we have the following representation

P(Agency 2| Tune up) = (0.02% * 0.08%)/0.0452%

Evaluate

P(Agency 2| Tune up) = 0.0003539823

Express as percentage

P(Agency 2| Tune up) = 0.03539823%

Approximate

P(Agency 2| Tune up) = 0.04%

So, the probability is 0.04%

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Complete question

The members of a consulting firm rent cars from three rental agencies. It is estimated that 0.42 percent of cars come from agency 1, 0.08 percent of cars come from agency 2, and 0.5 percent of cars come from agency 3. It is also estimated that 0.08 percent of cars from agency 1 need a tune-up, 0.02 percent of cars from agency 2 need a tune-up, and 0.02 percent of cars from agency 3 need a tune-up. Answer the following questions, rounding your answers to two decimal places where appropriate.

(a) What is the probability that a rental car delivered to the firm will need a tune-up?

(b) If a rental car delivered to the firm needs a tune-up, what is the probability that it came from agency 2?

The ratio is 17.14 cubic inch per orange and 168 oranges for given dimensions.

In three dimensions, everything takes up some space. What is being measured here is the area's volume. The volume of an object is the area occupied inside its three-dimensional boundaries. It is referred to as the object's capability on occasion.

The amount required to fill an object can be determined by finding its volume, for example, how much water is required to fill a bottle, aquarium, or water tank.

Given

dimensions of box 20 x 13 x 12, 12 x 12 x 12 and 20 x 10 x 6

volume of box 1 = 20 x 13 x 12 = 3120 cubic inches

volume of box 2 = 1728 cubic inches

volume of box 3 = 20 x 10 x 6 = 1200 cubic inch

oranges in box 1 = 96

oranges in box 2 = 53

oranges in box 3 = 37

and radius of  orange  = 32./2 = 1.6 inches

volume of each orange = 4/3πr³

volume of each orange = 4/3(3.14)(1.6)³

volume of each orange = 4/3(3.14)(4.096)

volume of each orange =  17.14 cubic inches

here one orange will cover 17.14 cubic inches.

7. let the dimension of box is 15 x 12 x 16

volume of box is = 15 x 12 x 16 = 2880 cubic inches

the number of oranges in box will be 2880/17.14 = 168 oranges

Hence there will be 17.14 cubic inch per orange volume is covered, and 168 oranges will be in box for given dimensions.

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Question 7 is incomplete the missing dimensions are 15 x 12 x 16.

Therefore , the solution of the given problem of equation comes out to be  x = 38.

Equivalent is the meaning of the Latin term equ. A lot of variable words in the English language, such as adequate, equator, and equality, have Latin roots as their root words. Since both side of an equations are, by definition, "equal" to one another, the Latin root term equ makes its way into our vocabulary quite simply.

Here,

Given : m m/MTU = 38°, and m/STU = 2x + 88.

thus,

x + 50 = 2x + 88

To find the value of x:

We do,

=> x + 50 = 2x +88

=> x -2x  = 88 -50

=> -x = -38

=> x = 38

Therefore , the solution of the given problem of equation comes out to be x = 38.

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Answer:

(number of days)/7

Step-by-step explanation:

1 week = 7 days

Divide the number of days by 7 to find the number of weeks.

I think the answer is 5.

Sorry if it's wrong.

Answer:

5

Step-by-step explanation:

This question is based on vector

By applying its formula

AC = AB + BC

we were given AC as 14 and BC as 9 so let find AB

AC = AB + BC

14 = AB + 9

AB = 14 – 9

AB = 5

i hope this helped

Answer:

A.

Step-by-step explanation:

just put it i swear it will help lollllll

Linear function Is a function that can be graphed as a solid line discrete or continuous

Linear functions are simply known as functions whose graph is a straight line.

They have one dependent variable and one independent variable.

These functions have either one or two variables without exponents.

Continuous graphs are used to represent functions that are continuous along their entire or whole domain.

Whereas, discrete graphs are used to represent values at specific points along the number line from different directions.

Types of the linear function;

Hence, it is a linear function

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Work Shown:

[tex]\left(3\text{x}^2\text{y}^5\right)^3\\\\\left(3\right)^3\left(\text{x}^2\right)^3\left(\text{y}^5\right)^3\\\\27\text{x}^{2*3}\text{y}^{5*3}\\\\27\text{x}^{6}\text{y}^{15}\\\\[/tex]

Explanation:

The outer exponent 3 is "distributed", so to speak, to each term inside the parenthesis. This isn't the actual distribution rule. But we can think of it as such. This is what's happening in the second step.

So we'll cube the coefficient 3 to get 3^3 = 27, and we'll cube x^2 to get x^6, and finally cube y^5 to get y^15.

I used the rule [tex](a^b)^c = a^{b*c}[/tex] for the third step.

Answer:

To calculate the percent of change, you will need to find the difference between the original score and the revised score and divide that by the original score. Then, multiply the result by 100 to express the answer as a percentage.

In this case, the difference between the original score (5 questions right) and the revised score (15 questions right) is 10 questions. Dividing this by the original score of 5 questions gives you a result of 2. Multiplying this by 100 gives you a percent of change of 200%. This means that your revised score is 200% higher than your original score.

Step-by-step explanation:

In algebra, the vertex form of a quadratic equation is a way of expressing the equation in the form:[tex]y = a(x - h)^2 + k[/tex]

where (h, k) is the vertex of the parabola defined by the equation. The value of 'a' determines whether the parabola opens up or down and the value of 'h' and 'k' determine the position of the vertex on the coordinate plane.

For example, the standard form of a quadratic equation is:

[tex]y = ax^2 + bx + c[/tex]

To convert this to vertex form, you would first complete the square to get all the terms of x on one side of the equation and a constant on the other side. Then, you would put the equation in the form shown above.

So, given the equation [tex]y = 3x^2 + 6x - 4[/tex], we can complete the square to get:

[tex]y = 3(x^2 + 2x) - 4[/tex]

then rearrange it to

[tex]y = 3(x^2 + 2x + 1) -7 = 3(x+1)^2-10[/tex] which is in vertex form with vertex (-1,-10)

The vertex form of a quadratic function provides a convenient way to quickly identify the vertex of the parabola without having to complete the square every time.

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The correct question is:

Explain vertex form.

The figure with equal opposite sides and all the interior angles being right angles is a rectangle.

A quadrilateral is a closed object in geometry that is created by connecting four points, any three of which are not collinear. There are 4 sides, 4 angles, and 4 vertices in a quadrilateral.

A rectangle is a special type of quadrilateral in which opposite sides are of equal length(not all sides are the same) and all the interior angles are right angles.

From the given diagram the opposite sides are equal and all the interior angles are right angles hence the figure is a rectangle.

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Answer:

8.20

Step-by-step explanation:

8.20 is greater than 8.002 due to 0.20 being greater than 0.002

The MIRR statistic for the project I given the cost of capital and the reinvestment rate, is 7. 43 %.

A monetary indicator of an investment's allure is the modified internal rate of return or MIRR. Ranking equivalent alternative investments is done in capital budgeting.

You can use a spreadsheet to find the MIRR by first ordering the cash flows as shown in the attached image. Then use the = MIRR function.

The cost of capital is the finance charge which is 11 %. The reivestment rate will be the same as the finance charge if not given so it will be 11 % as well.

The MIRR is therefore 7 .43 %.

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The percentage of the total finance charge on the loan that the service charge will be is about 15.65%. Option D is correct.

D. 15.56%

A loan is an item borrowed for a charged amount, such as an amount borrowed to be repaid with a specified interest fee.

The compound interest formula for the semiannual interest rate is presented as follows;

A = P·[1 + R/n]^(n·t)

Where;

P = The initial amount borrowed on loan = $15,360

t  = The interest rate on the loan = 9.58% = 0.0958

n = The number of periods in a year = 2 for semiannual interest rate

t = The duration of the loan = 8 years

The equal semi annual installment (ESI) formula is presented as follows;

[tex]ESI = P\times \dfrac{\dfrac{r}{2} \times\left(1 + \dfrac{r}{2} \right)^n }{\left(1+\dfrac{r}{2} \right)^n-1}[/tex]

Therefore;

ESI = 15360 × ((0.0958/2)×(1 + 0.0958/2)¹⁶)/((1 + 0.0958/2)¹⁶-1) ≈ 1396.16

The total amount Sam pays = 16 × 1396.16 ≈ 22338.6

The finance charge ≈ 22338.6 - 15360 = 6978.6

The percentage of the finance charge represented the service charge is therefore;

(1294.64/(6978.6 + 1294.64))×100 ≈ 15.65%

The percentage of the total finance charge represented by the service charge is therefore about 15.65%

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The rate based on the information will be 590 kilometers per hour and 1010 kilometers per hour

Rate in Mathematics simply demonstrates how many times one number can be able to fit into another number. It should be noted that rate contrast two numbers by dividing them. In this case, A/B will be the formula if one is comparing one variable (A) to another variable (B).

Since the an airplane travels 4720 kilometers in 8 hours. The rate is:

= 4720 / 8

= 590 kilometers per hour

Flying with the wind, the same plane travels 4040 kilometers in 4 hours. The rate will be:

= 4040 / 4

= 1010 kilometers per hour

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Answer:

D

Step-by-step explanation:

8x+12y-2y+3x=11x+10y

Answer:

answer D

Step-by-step explanation:

8x+12y-2y+3x

11x+ 10y

Answer:

Below

Step-by-step explanation:

Each PERIOD is 3 months     there is   4 periods per year

  periodic interest =  .055/4

   effective interest per year would then be

       (1 + .055/4)^4  - 1  = .056144  = ~ 5.61%

As determined in part, the ball reaches its highest point at time t is 2 seconds

S(t) = 32t - 16t2 is the formula for the displacement s(t) as a function of time t. We presume that the upward motion began at this altitude above the earth.

The ball's starting speed is 64 feet per second.

(A) The velocity is the displacement's first time derivative: v(t) = ds/dt = 32t – 16t. We are just deriving the function s for the first time (t).

(B) v(t = 3) = 32t– 16(3) = –32 feet per second. The ball is currently travelling downhill, according to the negative indication.

(c) The ball briefly pauses as it reaches its highest height before dropping. By setting the velocity to zero to symbolise this halt, we can calculate how long it will take the ball to reach its highest point.

v(t) = 32 - 16t = 0

or 16t = 32

out = 2 seconds.

As determined in part, the ball reaches its highest point at t = 2 seconds (c).

s(t = 2) = 32(2) - 16(2) (2)

2

or 32 feet if s(t = 2).

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Answer:

rate of change = [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{3}{4}[/tex] x - 2 ← is in slope- intercept form

with slope m = [tex]\frac{3}{4}[/tex]

the slope is a measure of the rate of change , then

rate of change = [tex]\frac{3}{4}[/tex]

Answer: -3√3

Step-by-step explanation: Factor out the square roots from each term

2√54 -> 6√6

√27 -> 3√3

3√24 -> 6√6

The equation becomes 6√6 - 3√3 - 6√6

By combining like terms we can eliminate 6√6

This leaves us with -3√3 as the simplified solution

Answer:

-3√3

Step-by-step explanation:

do the hcf method to get all the values outside

hcf of 54= 2, 3, 3, 3

hcf of 27 = 3, 3, 3

hcf of 24 = 2,2,3,3

2✓2×3×3×3 - √3,3,3 - 3√2,2,3,3

take out the common factor and multiply it with the value we have outside leave it if it doesnt have a number

2×3√2×3 - 3✓3 -3×2×3

6√6 - 3√3 - 3×2×3

6×3 - 3√3 - 3×2×3

18-18 - 3✓3

-3√3

Answer:

45.5km

Step-by-step explanation:

AREA= base x height

So with this equation, we know that 5km is the height, and 9.1km is the base.

So to find out the area all we have to do is 9.1x5 which equals 45.5