Type the correct answer in the box. Use numerals Instead of words. If necessary, use / for the fraction bar.
David invested $230 in a savings account that offers a 3% return on the Investment. The value of David's Investment will be at least $415 after a
period of
years.
Hint: Use the formula A= P1+, where A is the amount after tyears, Pls the amount Invested, r is the rate of interest, and t is the time period.
Use a calculator to compute the answer, and round It off to the nearest year.
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Answer:

[tex]x = 14.04[/tex]°

Step-by-step explanation:

[tex]\text{tan(x) = Opposite / Adjacent}\\tan(x) = 5/20\\tan(x) = 0.25\\x = 14.04[/tex]

Answer:5200-0.0005x=2800+0.0003x

Step-by-step explanation: Ignore the supply and demand stuff. Just focus on what value of x will make the two equations equal, which is all the question is asking.

5200-0.0005x=2800+0.0003x

solve for x

This is now a very simple one variable equation, try to solve this yourself and message me if you still need help.

Elijah will pass John after 5 hours, and they each will have traveled 310 miles. Then the correct option is C.

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula

Speed = Distance/Time

John and Elijah are both driving from New York City to Richmond.

John leaves at 7:20 and averages 60 mph (miles per hour) on the way.

Elijah leaves at 7:30 and averages 62 mph on the way.

The situation is modeled by this system, where x is the number of hours after Elijah leaves and y is the distance each will travel.

y = 60x + 10 ...1

y = 62x        ...2

The time is taken by Elijah to cross John will be

62x = 60x + 10

 2x = 10

   x = 5 hours

The distance traveled in 5 hours will be

y = 62 (5)

y = 310 miles

Elijah will pass John after 5 hours, and they each will have traveled 310 miles.

Then the correct option is C.

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Answer:

c

Step-by-step explanation:

i took the quiz

Answer:

[tex]y=-\frac{5}{6} + 7[/tex]

Step-by-step explanation:

Slope-intercept formula requires us to isolate the y variable. We can do this in just a couple of steps.

1) Move 5x from the left to the right side by subtracting 5x from both sides. This cancels out the 5x on the left side, and remember, what we do to one side we must do to the other to keep the equation balanced.

[tex]6y=-5x+42[/tex]

2) Divide both sides by 6. Again, we are cancelling out the 6 on the left but we must also divide on the right. This would mean dividing -5 and 42 by 6 to get:

[tex]y=-\frac{5}{6} + 7[/tex]

Each folder would cost 0.0772.

Rate is used to express the change in a quantity with respect to a standard quantity.

Analysis:

If 100 file folders cost 7.72, then each folder will cost 7.72/100 = 0.0772

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Answer: 0.8 or whatever has 8 last since i forgot sorry!, but it was correct for me!

Step-by-step explanation:

I dont know if its right for you but its right for me

Answer: B; 4

Explanation: The squares means that's how many numbers there are.
The example : -- There's 4 of 4. = 16. 6 of 2. = 12.
All of them add up to 64.
There are 16 numbers.
The mean means adding up all the numbers then divide by how many numbers are there.
64 / 16 = 4.

The sum is a binomial with a degree of 6 after adding like terms, and the sum is -2xy⁵ + 3x⁴y option fourth is correct.

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have two polynomials:

3x²y² - 2xy⁵ and -3x²y² + 3x⁴y

Adding two polynomials:

= (3x²y² -2xy⁵) + (-3x²y² + 3x⁴y)

= -2xy⁵ + 3x⁴y

The expression represents a binomial with degree 6(1+5) because it has two terms.

Thus, the sum is a binomial with a degree of 6 after adding like terms and the sum is -2xy⁵ + 3x⁴y option fourth is correct.

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By eliminating the parameter t and evaluating the function at x = -1 we conclude that the parametric equations contains the point (x, y) = (-1, 0).

In this case we must determine if a point in rectangular format belongs to  a set formed by two parametric functions. The functions are parametric as they are based in a parameter t. A quick approach consist in reduce the number of equations by eliminating the parameter.

The first equation is represented below:

t = x/3

And the parameter is substituted in the second equation:

y = 18 · (x/3)² + 12 · (x/3) + 2

y = 2 · x² + 4 · x + 2

If we know that x = -1, then the y-value is:

y = 2 · (- 1)² + 4 · (- 1) + 2

y = 0

By eliminating the parameter t and evaluating the function at x = -1 we conclude that the parametric equations contains the point (x, y) = (-1, 0).

The statement is incomplete, the complete definition is presented below:

Which of the following is a point on the plane curve defined by the parametric equations?

x = 3 · t, y = 18 · t² + 12 · t + 2

A. (-1, 0)

B. (-3, -28)

C. (-1, 8)

D. (-3, 128)

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Using translation concepts, it is found that the equation of the function after the changes is given by:

[tex]y = \frac{3}{x + 3} + 4[/tex]

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, the parent function is given by:

[tex]y = \frac{3}{x}[/tex]

Then, these following changes happened:

Hence, the equation of the function after the changes is given by:

[tex]y = \frac{3}{x + 3} + 4[/tex]

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Answer:

Lines J and K are parallel :)

Step-by-step explanation:

Parallel: (of lines, planes, surfaces, or objects) side by side and having the same distance continuously between them.

It would be Lines J and K are parallel because they never cross and the other statements are incorrect :)

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Answer:

C. median

Step-by-step explanation:

AD is median because it's dividing BC in two equal parts.

Answer:

46.272 or 46 34

125

Explains :

Let see :

Based on the given conditions, formulate: 16×14.46÷5

Calculate the product or quotient:231.36

5

Convert decimal to fraction:23136

100

5

Divide a fraction by multiplying its reciprocal:23136 × 1

100 5

Write as a single fraction:23136

100×5

Cross out the common factor:5784

25×5

Calculate the product or quotient:5784

5784 125

get the result: 46.272 or 46 34

125

Answer: 46.272 or 46 34

125

Using proportions, it is found that the number of islands that each member will have to visit is given by:

c. 19 islands.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, there are 684 islands, and 36 members, hence the number of islands per member is given by:

n = 684/36 = 19.

Which means that option c is correct.

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The mean is 8 gerbils and the MAD is 4.29.

Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number

Mean = sum of the numbers / total number

(0 + 3 + 6 + 9 + 11 + 13 + 14) / 7 = 8

What is the MAD?

MAD =  ∑ l x - m(x) l

| (0 - 8) + (3 - 8) + (6 - 8) + (9 - 8) + (11 - 8) + (13 - 8) + (14 - 8)| / 7 = 4.29

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Answer:

Step-by-step explanation:

Use the equation of area of circle:

Substitute π with 22/7 and r with 35 m as per question.

Correct choice is B (with slight difference)

Answer:

B.  3850 m²

Step-by-step explanation:

The area of the base of the lighthouse can be modeled as a circle.

Area of a circle

[tex]\textsf{A}=\pi r^2 \quad \textsf{(where r is the radius)}[/tex]

Given:

Substitute the given values into the formula and solve for A:

[tex]\implies \sf A=\dfrac{22}{7} \cdot 35^2[/tex]

[tex]\implies \sf A=\dfrac{22}{7} \cdot 1225[/tex]

[tex]\implies \sf A=\dfrac{26950}{7}[/tex]

[tex]\implies \sf A=3850\:\:m^2[/tex]

Therefore, the area of the circular base of the lighthouse is 3850 m²

Answer:

x = 8

Step-by-step explanation:

Perimeter :

The speed of the car in kilometres per minutes is 2.6565 km/minutes

The car speed is 99 miles per hours.

Therefore,

1 miles  = 1.61 km

99 miles = ?

cross multiply

distance = 159.39 km

Therefore,

1 hour = 60 minutes

Hence,

speed = 159.39  / 60

speed = 2.6565

speed = 2.6565 km/minutes

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The property tax on a house with a market value of $170,000 is $2,959.09.

Property tax is a tax levied on the assessed value of property owned by an individual or a corporation.

Assessment rate = 46%

Tax rate = $37.84 per $1,000

Market value of house = $170,000

Assessed value = $78,200 ($170,000 x 46%)

Property tax = $2,959.09 ($78,200 x $37.84/$1,000)

Thus, the property tax on a house with a market value of $170,000 is $2,959.09.

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Answer:

x = 76.5

Step-by-step explanation:

[tex]\frac{x}{4.5}[/tex] = 22 - 5

[tex]\frac{x}{4.5}[/tex] = 17

x = 17 x 4.5

x = 76.5

Answer:

14 and a half

Step-by-step explanation:

5 eggs - 11 omlets

x eggs - 32 omlets

11x = 5x32

x = 160/11 = 14.5454...

Answer:

We know that:

Neighbourhood A = 30  homes and the number increases by 20% each year

Neighbourhood B = 45  homes, and each year 3 new homes are built.

A.

Neighbourhood A and B are as follows:

For neighbourhood A: f(x) =

For neighbourhood B: f(x) =  45 + 3x

B.

Over five years:

Neighbourhood A has =

Neighbourhood A  =

Neighbourhood A  =  74.65 homes

Neighbourhood B: =   45 + 3(5)

Neighbourhood B: =   45 + 15

Neighbourhood B: =   60 homes

C.

To determine how many years the number of homes are the same for neighbourhood A and B, we need to equate both together.

So x= 3.3

so, hence after 3.3 years, the number of homes will be the same.

Step-by-step explanation:

Hope this helped, good luck

The number of speakers that should be sold to maximize profit is 0.9

Given the function that represents the profit made in selling x thousand Boombotix speakers expressed as:

P(x)=6+9x−5x^2

In order to maximize the profit, p'(x) = 0, hence;

P'(x) =9 - 10x

0 = 9 - 10x

x = 9/10

Hence the number of speakers that should be sold to maximize profit is 0.9

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If f¹ is supposed to say f⁻¹ : rewrite f(4x + 5) as an "obvious" function of 4x + 5, then replace 4x + 5 with x. By "obvious", I mean make it clear how 4x + 5 is the argument to f.

[tex]f(4x+5) = 12x+18 = 3 (4x + 6) = 3 (4x + 5 + 1) = 3 (4x + 5) + 3[/tex]

Then swapping out 4x + 5 for x gives

[tex]f(x) = 3x + 3[/tex]

The inverse of f(x), if it exists, is a function f⁻¹(x) such that

[tex]f\left(f^{-1}(x)\right) = x[/tex]

Evaluate f at f⁻¹ and solve for f⁻¹ :

[tex]f\left(f^{-1}(x)\right) = 3 f^{-1}(x) + 3 = x \implies \boxed{f^{-1}(x) = \dfrac{x-3}3}[/tex]

If f¹ instead means f' (as in the first derivative of f) : earlier we found f(x) = 3x + 3, and differentiating this is trivial.

[tex]f(x) = 3x+3 \implies f'(x) = 3[/tex]

Answer:

90°

Step-by-step explanation:

note that [tex]\frac{2}{8}[/tex] simplifies to [tex]\frac{1}{4}[/tex]

There are 360° in one turn of the circle , then

[tex]\frac{1}{4}[/tex] × 360° = 360° ÷ 4 = 90°

Answer:

Tammy is incorrect

Step-by-step explanation:

The product of 5/7 and 1 1/4 is,

(5/7) x (1 1/4)

turn the mixed number to a whole number.

1 1/4= 4/4 + 1/4 = 5/4

(5/7) x (5/4) = 25/28 which is approximately 0.8929

Tammy believes it equals 1 3/4

1 3/4 = 4/4 + 3/4 = 7/4 which is 1.75

0.8929 does not equal 1.75

Answer:

the opposite of the Justine score (-7) = Meghan  score  (7)

-(-7)=7

Step-by-step explanation: