You invest $5,175.00 in a stock plan. It increases 9% the first year and then losses 5% of its value the second year. What is your gain compared to you original investment?

Answers

Answer 1

Answer:  $183.71

Step-by-step explanation:

Original amount is $5,175.00

1st year: Increase of 9%

→  $5175(1 + 0.09)

=   $5175(1.09)

=  $5640.75

                                       2nd year: Decrease of 5%  

                                       → $5640.75(1 - 0.05)

                                       =  $5640.75(0.95)

                                       = $5358.71

                                                                              Gain: 2nd year - Original  

                                                                               → $5358.71 - $5175.00

                                                                               = $183.71

Answer 2

Answer:

$183.7

Step-by-step explanation:

We know that $5,175.00 was invested in a stock plan.

It increased by 9% in the first year:

[tex] 9% \times 5175.00 = 465.75 [/tex]

So value reached to (5175 + 465.75 = ) $5640.75

Then it second year, it lost 5% of its value:

[tex] 95% \times 5640.75 = $5358.7 [/tex]

Therefore, the gain compared to the initial original investment will be:

$5358.7 - $5175.0 = $183.7


Related Questions

What is the surface area of a sphere with a radius of 12 units

Answers

Answer:The surface area would be 1809.56units

Step-by-step explanation:

Answer:

576 pi units^2

Step-by-step explanation

I got it wrong and I'm giving you all the answer :)

5÷6 is 5/6. What is 1/6 of 5?

Answers

Answer:

5/6

Step-by-step explanation:

1/6 of 5 is the same:  (1/6)(5) = 5/6

Answer: 5/6

Work Shown:

Here's a little tip for you. Any number can be converted to fraction if you use 1 as the denominator:

5/1

So now that we've converted 5 into a fraction, to work out the answer, we put the fraction 1/6 side by side with our new fraction, 5/1 so that we can multiply those two fractions.

All you need to do is convert the whole number to a fraction and then multiply the numerators and denominators.

1 x 5

6 x 1

=

5/6

The complete and simplified answer to the question what is 1/6 of 5 is:

5/6

Hopefully this answer has helped you to understand how to find the fraction of any whole number.

- Thanks.

If 2/5 x h = 3, what is H

Answers

Answer: H = 7.5 or 7 1/2

Step-by-step explanation:

2/5 * H = 3

0.4 * H = 3

0.4 * 7.5 = 3

At one school half of the students live within 1 mile, 78% live within 2 miles, and 0.1 of the students live between 2 and 3 miles from the school.

Answers

Final answer:

The question deals with the distribution of students' residences relative to their school. Calculations suggest 22% live between 1 and 2 miles away, 10% live between 2 to 3 miles away, and the remaining students live more than 3 miles away from the school.

Explanation:

The question relates to the distribution of students' residences in relation to the school. Given that, at one school, half of the students live within 1 mile, 78% live within 2 miles, and 0.1 of the students live between 2 and 3 miles from the school. This implies that 22% of students live between 1 and 2 miles of the school (the difference between 78% and the half who live within 1 mile), and 0.1 of the students live further than 2 miles but less than 3 miles from the school. So, the remaining students, which is 100% minus (half + 22% + 0.1*100%), live more than 3 miles away from the school.

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Final answer:

To find the probability that a randomly chosen student at the local community college lives within five miles of the campus or receives some kind of financial aid, the formula for the union of two events can be used. Substituting the given probabilities, the probability is found to be 0.35.

Explanation:

To find the probability that a randomly chosen student at the local community college lives within five miles of the campus or receives some kind of financial aid, we need to understand the given information.

We know that 20% of the students live within five miles of the campus and 30% receive financial aid. Of those who live within five miles, 75% receive financial aid.

To find the probability, we can use the formula for the union of two events:

P(A or B) = P(A) + P(B) - P(A and B)

In this case, A represents living within five miles of the campus and B represents receiving financial aid. Substituting the given probabilities, we have:

P(lives within five miles or receives financial aid) = 0.20 + 0.30 - (0.20 * 0.75)

P(lives within five miles or receives financial aid) = 0.20 + 0.30 - 0.15

P(lives within five miles or receives financial aid) = 0.35

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Answers

AAAA
BBAB
ABAB
ABBB
BABA
(I can choose multiple)

Answers

Answer:

BBAB, ABAB, and BABA

Step-by-step explanation:

Use the probability/combination theorem.

Find the length of ''C '' to the nearest tenth using the Pythagorean theorem.

Answers

Answer:

c = 10.63 units

Step-by-step explanation:

a² + b² = c²

8² + 7² = c²

64 + 49 = c²

113 = c²

c = √113 = 10.63 units

The length of C for the triangle is 10.63 units

What is the Pythagorean theorem?

Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal to the square of the sum of the other two sides.

The value of C is calculated by using the Pythagorean theorem.

a² + b² = c²

8² + 7² = c²

64 + 49 = c²

113 = c²

c = √113 = 10.63 units

Therefore, the length of C for the triangle is 10.63 units

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Min's hose can pump 21 gallons of water every hour. How many gallons of water will he fill up if he runs the hose for 2/3 of an hour?

Answers

Final answer:

Min's hose will fill up 14 gallons of water if it runs for 2/3 of an hour, based on its rate of 21 gallons per hour.

Explanation:

The question asks us to calculate how many gallons of water Min's hose can pump if it runs for 2/3 of an hour, given that it pumps water at a rate of 21 gallons per hour.

First, we need to find out how much water the hose would pump in one hour and then calculate 2/3 of that amount:

Full capacity in one hour: 21 gallons

Capacity in 2/3 of an hour: (21 gallons) * (2/3) = 14 gallons

So, Min's hose will fill up 14 gallons of water if it runs for 2/3 of an hour.

David scored x marks for his mathematics test, Edwin scored 4/5 of what David scored. Frank scored 38 marks more than Edwin and Gabriel scored 5 fewer marks than Frank.
(a) Express Gabriel's marks in terms of x.
(b) if the average mark of the four boys is 64.5, find Gabriel's marks for the Mathematics test. ​

Answers

D=x

E=(4/5)•x

F=E+38

F=(4/5)•x+38

G=F-5

G=(4/5)x+38-5

G=(4/5)x+33. ⟨——answer for A

64.5=[d+e+f+g]/4

64.5=[5x/5+4x/5+4x/5+38+4x/5+33]/4

4•64.5=9x/5+8x/5+71

258=17x/5+71

258-17=17x/5

241=17x/5

5•241=17x

1205/17=x

70.88=x

G=(4/5)x+33

G=(4/5)(70.88)+33

G=89.7 ⟨——answer to part B

Gabriel's marks in terms of x is (G = 4x/5 + 38) and if the average mark of the four boys is 64.5 then Gabriel's marks for the Mathematics test is 89.7.

Given :

David scored x marks for his mathematics test, Edwin scored 4/5 of what David scored.Frank scored 38 marks more than Edwin and Gabriel scored 5 fewer marks than Frank.

Score of David in the mathematics test is given by:

D = x

Score of Edwin in the mathematics test is given by:

[tex]\rm E = \dfrac{4}{5}x[/tex]

Score of Frank in the mathematics test is given by:

[tex]\rm F = \dfrac{4}{5}x + 38[/tex]

Score of Gabriel in the mathematics test is given by:

G = F - 5    ---- (1)

a) Now, substitute the value of F in the equation (1)

[tex]\rm G = \dfrac{4x}{5}+38-5[/tex]

[tex]\rm G = \dfrac{4x}{5}+33[/tex]

b) Given that the average mark of the four boys is 64.5 that is:

[tex]\rm \dfrac{G+F+E+D}{4}=64.5[/tex]

Now, substitute the values of G, F, E, and D in the above equation. After simplifying the expression:

[tex]258=\dfrac{17x}{5}+17[/tex]

Further, simplify the above expression it becomes:

x = 70.88

So, Gabriel's marks for the Mathematics test is:

[tex]\rm G = \dfrac{4\times 70.88}{5}+33[/tex]

G = 89.7

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Find the real zeros of the function f(x)= x^4-15x^2+10x+24

Answers

Answer:

x=3,2,-1,-4

Step-by-step explanation:

The roots (zeros) are the x

values where the graph intersects the x-axis. To find the roots (zeros), replace y with 0 and solve for x

$4 is what percent of $8

Answers

Answer:

50%

Step-by-step explanation:

Is means equals and of means multiply

4 = P * 8

Divide each side by 8

4/8 = P 8/8

.5 = P

Multiply each side by 100 to change from decimal form to percent form

50% = P

4 is 50% of 8

Answer:

$4 is 50% of $8.

Step-by-step explanation:

[tex]\begin{array}{ccc}\$8&-&100\%\\\\\$4&-&p\%\end{array}\qquad\text{cross multiply}\\\\\\8p=(4)(100)\\8p=400\qquad\text{divide both sides by 8}\\p=50\ (\%)[/tex]

Eliminate the parameter.
x = 4 cos t, y = 4 sin

Answers

ANSWER

[tex]{x}^{2} + {y}^{2} = 16[/tex]

EXPLANATION

We want to eliminate the parameter from the equation:

[tex]x = 4 \cos(t)...(1)[/tex]

and

[tex]y = 4 \sin(t)...(2)[/tex]

Square both sides of the first equation to get,

[tex] {x}^{2} = (4 \cos(t) )^{2} [/tex]

[tex]{x}^{2} = 16 \cos^{2} (t)...(3)[/tex]

Squaring the second equation gives;

[tex] {y}^{2} = {(4 \sin(t) )}^{2} [/tex]

[tex]{y}^{2} = 16 \sin^{2} (t)...(4)[/tex]

Add equation (3) and (4).

This implies that;

[tex] {x}^{2} + {y}^{2} = 16 \cos^{2} (t) + 16 \sin^{2} (t)[/tex]

Factor the right hand side

[tex] {x}^{2} + {y}^{2} = 16( \cos^{2} (t) + \sin^{2} (t))[/tex]

Recall that;

[tex] \cos^{2} (t) + \sin^{2} (t) = 1[/tex]

[tex] {x}^{2} + {y}^{2} = 16( 1)[/tex]

[tex] {x}^{2} + {y}^{2} = 16[/tex]

Solve and graph the absolute value inequality: |2x + 1| ≤ 5.

Answers

Answer:

–7/2 ≤ x ≤ 5/2

Step-by-step explanation:

Given in the question an inequality

| 2x + 1 | ≤ 5

–5 ≤ 2x + 1 ≤ 5

–6 – 1 ≤ 2x + 1 -1 ≤ 6 – 1

–7 ≤ 2x ≤ 5

–7/2 ≤ x ≤ 5/2

Then the solution to | 2x + 1 | ≤ 5 is the interval –7/2 ≤ x ≤ 5/2

Graph is attach below

Final answer:

The solution to the absolute value inequality |2x + 1| ≤ 5 is the interval -3 ≤ x ≤ 2. To find this, two separate inequalities are solved based on the non-negative and negative cases within the absolute value. The graphical representation is a closed interval from -3 to 2 on the number line.

Explanation:

To solve and graph the absolute value inequality |2x + 1| ≤ 5, we need to consider two cases based on the definition of absolute value.

If the expression inside the absolute value is non-negative (2x + 1 ≥ 0), then the inequality becomes 2x + 1 ≤ 5.If the expression inside the absolute value is negative (2x + 1 < 0), then the inequality becomes -(2x + 1) ≤ 5 which simplifies to 2x + 1 ≥ -5.

We then solve these two inequalities:

2x + 1 ≤ 52x ≤ 4x ≤ 22x + 1 ≥ -52x ≥ -6x ≥ -3

The solution set is the intersection of these two sets of numbers, which is -3 ≤ x ≤ 2. Graphically, this is represented on the number line as a closed interval from -3 to 2.

Which of the follow is NOT a way to prove triangles similar?




A.) Proving two angles are congruent.


B.) Describing a sequence that can map one triangle onto the other.


C.) Proving the sides are in proportion.


D.) Proving all sides are congruent.

Answers

Answer:

D

Step-by-step explanation: dosnt need to be all congruent see the question says "similar" not ecactly the same

What would be the answer to this question

Answers

Answer:

The third one is the one I would choose

Hope this helped :)

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

([tex]\frac{f}{g}[/tex])(x)

= [tex]\frac{3x+5}{3x^2-x-10}[/tex] ← factor denominator

= [tex]\frac{3x+5}{(x-2)(3x+5)}[/tex] ← cancel (3x + 5), leaving

= [tex]\frac{1}{x-2}[/tex]

The denominator cannot be zero as this would make the fraction undefined. Equating the denominator to zero and solving gives the value that x cannot be.

solve x - 2 = 0 ⇒ x = 2 ← excluded value

domain is the set of all real numbers except 2

Plz help me !!!!!!!!!!!

Answers

Answer:  [tex]\large{x^{\frac{1}{4}}y^{\frac{1}{2}}}[/tex]

Step-by-step explanation:

[tex]\sqrt[8]{x^2y^4}=x^{\frac{2}{8}}y^{\frac{4}{8}}=\huge\boxed{x^{\frac{1}{4}}y^{\frac{1}{2}}}[/tex]

Solve and explain the question below

Roman has a certain amount of money. If he spends $15, then he has 1/4 of the original amount left. How much money did Roman have originally?

Answers

£20

£15= 3/4 of the money
15/3=5
5x4=20

The equation was solved step by step to find that Roman initially had $20.

Roman has a certain amount of money. If he spends $15, then he has 1/4 of the original amount left. To find out how much money Roman had originally, we can set up an equation. Let's call the original amount of money x. After spending $15, Roman has x - 15 dollars left, which we are told is 1/4 of the original amount, x.

So, the equation we can write is:
x - 15 = 1/4 x

To solve for x, we multiply each side of the equation by 4 to get rid of the fraction on the right side:
4(x - 15) = x

Which simplifies to:
4x - 60 = x

Then we subtract x from both sides to get x on one side:
3x - 60 = 0

Now, we add 60 to both sides to solve for x:
3x = 60

Finally, we divide both sides by 3 to find x:
x = 20

Therefore, Roman originally had $20.

convert 3 cups to gallons

Answers

Answer:

0.1875 gallons

Step-by-step explanation:

For every cup there is 0.0625 liquid gallons. To find 3 cups times 0.0625 x 3 then you get the answer 0.1875 liquid gallons. Please give me the brainliest answer.

Answer:

0.1875

Step-by-step explanation:

Divide the cups by 16 and you will have your answer.

Hope this helps!

Julie wants to save $162 for a trip to an amusement park. She sets aside $12 of her allowance at the end of each week. How many weeks will it take her to save enough money for the whole trip?

Answers

It will take her 14 weeks to save up $162 dollars.

You need to do 162÷12 to do this. Although 162÷12 is 13.5, you have to round up, getting you the 14 weeks.

Select from the drop-down menu to correctly compare the numbers. 85‾‾‾√ 8.9860...

Answers

Answer:

Answer is. >

√85 > 8.9860

Step-by-step explanation:

√85 > 8.9860

This means that √85 is greater than 8.9860

This is because;

√85 = 9.2195...

9.2195.. is greater than 8.9860..

Answer:

>

Step-by-step explanation:

Start at point A (-2,5). Translate it 3 units left and 4 units up on the coordinate plane. How will this affect the x- and y- coordinates of the point? Where will point A' be after the translation.

A. (1,9)
B.(-5,1)
C.(-5,1)
D.(-2,5)

Answers

Answer:

A.

Step-by-step explanation:

Please help me! FOR 10 POINTS!

Answers

Answer: 7 (g-3) = 42

Step-by-step explanation: 7 (g-3) = 42 is the correct answer.

7 represents the cost for each person and g-3 represents the number of guests minus 3 because she does not have to pay for the first 3. 42 is the total that she paid.

george wanted to measure the angle of a waterslide at the lake .he used a sheet of folded paper that formed 20 degree angle. he measured and found that three of the folded paper angles would fit in the angle made by the slide and the ground . what is the angle of the waterslide ?​

Answers

Final answer:

The angle of the waterslide, as measured by George using the folded paper, is 60 degrees. He found this by multiplying the paper angle of 20 degrees by the number of paper angles (3) that fit in the slide's angle.

Explanation:

The question is asking for the angle made by the waterslide and the ground. Given that a sheet of folded paper forms a 20-degree angle, and three of these paper angles fit in the angle made by the slide, we need to find the total angle.

To solve this problem, you simply multiply the angle of the paper by the number of paper angles that fit in the slide's angle. Here's how you do it:

Identify the angle of the paper, which is 20 degrees. Identify the number of paper angles fitting in the slide's angle, which is 3. Multiply these together. That is 20 degrees * 3 = 60 degrees.

So, the angle of the waterslide is 60 degrees.

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Final answer:

The angle of the waterslide is approximately 6.67 degrees.

Explanation:

The angle of the waterslide can be found by dividing the angle formed by the folded paper by the number of folded paper angles that fit in the waterslide angle.

In this case, the angle formed by the folded paper is 20 degrees, and the number of folded paper angles that fit in the waterslide angle is 3.

Therefore, the angle of the waterslide is 20 degrees divided by 3, which is approximately 6.67 degrees.

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3x10-2 in standard notation

Answers

Answer: 0.032

Step-by-step explanation: poof

I bought 5 burgers and 2 fries for 17.65 went back bought 2 burgers and 3 fries and paid 10.25. how much does one burger cost and how much does one fry cost​

Answers

Answer:

The cost of one burger is $2.95

The cost of one fry is $1.45

Step-by-step explanation:

Let

x----> the cost of one burger

y---> the cost of one fry

we know that

[tex]5x+2y=17.65[/tex] ----> equation A

[tex]2x+3y=10.25[/tex] ----> equation B

Using a graphing tool

Remember that the solution of the system of equations is the intersection point both graphs

The intersection point is (2.95,1.45)

see the attached figure

therefore

The cost of one burger is $2.95

The cost of one fry is $1.45

What is the value of d? Assume that the line is tangent to the circle.

Answers

Answer:

121°

Step-by-step explanation:

We have been given a chord and tangent to a circle, and also a minor arc measure that is equal to 118°We know that; An angle formed by a secant and tangent of circle is half of the measure of intercepted arc.

Therefore; ∠ x = 1/2 mABC

We can find intercepted arc by subtracting minor arc measure from 360 degrees because minor and major arcs add up to 360 degrees.

Thus; 360° - 118° = 242°

Using the formula; ∠ x = 1/2 mABC

Then; d = 242/2

            = 121°

Save You More offers a buy one/get one free item each week. Customers who purchase only one of the items must pay the regular price. The limit is one deal per customer. Is the relation (# sale items purchased, price) a function? Why or why not? A) It is a function because the input can be either 1 or 2 items, but the output will always be the same price. B) It is not a function because the input can be either 1 or 2 items, but the output will always be the same price. C) It is a function because the input will always be the same price, but the output can be either one or two items. D) It is not a function because the input will always be the same price, but the output can be either one or two items.

Answers

Answer:

B

Step-by-step explanation:

Since a function would mean that a customer is able to purchase 1.1 of an item or 1.5 of an item, which is false. It also means that the customers pay the same price for a different amount of items.

Answer: The answer is A

It is a function because the input can be either 1 or 2 items, but the output will always be the same price.

According to the stated relation, (# sale items purchased, price), the input is the number of sale items purchased and the output is the price. The input values of a function can be different and have the same output value. However, a function cannot have different outputs for the same input.

Tracy is running in a 5.52 kilometer race on Saturday . A marathon is approximately 42 kilometers. How long will it take Tracy to race in the martathin? Can you show u please show your answer?

Answers

Answer:

about 7.6 days long

Step-by-step explanation:

42 divided by 5.52 = about 7.6

Tina and her family live on a farm.each year

Answers

Answer:

(200π - 12)ft

or

616.32 ft

Step-by-step explanation:

Given in the question,

there are four circle around which corn will be planted.

radius of first circle = 10 ft

radius of second circle = 20 ft

radius of third circle = 30 ft

radius of fourth circle = 40ft

circumference = 2πr

First circle

2π(10)-3

20π -3

Second circle

2π(20)-3

40π-3

Third circle

2π(30)-3

60π-3

Fourth circle

2π(40)-3

80π-3

Add them up

80π - 3 + 60π - 3 + 40π - 3 + 20π - 3

(200π - 12)ft

or

616.32 ft

3 1/4 pt = _______ fl oz​

Answers

Answer:

52

Step-by-step explanation:

3.25 pints = 52 fluid ounces since there are 16 fl oz in one pint.

The expression (x^3 )(x^(-17) ) is equivalent to (x^n). What is the value of n?

Answers

Answer:

21

Step-by-step explanation:

Answer:

[tex]n=-14[/tex]

Step-by-step explanation:

The given expression is

[tex](x^3)(x^{-17})=x^n[/tex]

Recall that; [tex]a^m\times a^n=a^{m+n}[/tex]

We apply this property to the left hand side to obtain;

[tex]x^{3+-17}=x^n[/tex]

This simplifies to;

[tex]x^{3-17}=x^n[/tex]

[tex]x^{-14}=x^n[/tex]

Since the bases are the same; the exponents are also the same.

[tex]\therefore n=-14[/tex]

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