If $125 is invested at an interest rate of 18% per year and is compounded continuously, how much will the investment be worth in 2 years?
Use the continuous compound interest formula A = Per
$123

Answers

Answer 1

Answer:

$174.05

Step-by-step explanation:

To find the value of the investment at a later date:

[tex]x * multiplier^n = y[/tex]

Here, [tex]x[/tex] is the original amount, [tex]n[/tex] is the number of times the amount compounds and [tex]y[/tex] is the new value.

Let's find the multiplier. Imagine the $125 to be 100%, because that is the full amount of the investment. If you add 18% onto 100%, the result is 118%.

To convert this into a multiplier, you simply divide by 100:

118 ÷ 100 = 1.18

The original amount [tex]x[/tex] in this case is equal to $125, so we can easily substitute that into the equation. We know our multiplier is 1.18. And here, the investment is compounded once per year, and this is over a two year period, meaning the original amount will be compounded twice overall. Therefore, [tex]n=2[/tex].

Finally, we substitute our values into the equation:

[tex]125 * 1.18^2 =174.05[/tex]

This means our final answer is $174.05.


Related Questions

A concert hall sells tickets in three different price ranges. For each price range, there are both adult and child
rates.
Concert Hall Prices
Adult Child
Rates.
Which statement describes the relationship between the adult ticket prices (a), in dollars, and the child ticket
prices (c), in dollars?

Answers

It would be a.
Each child price is 1/4 of the adult one, so the equation would be adult price•1/4= child price. Or, c=1/4a (both the equations do the same thing)

Emma can run 4.5 miles in 36 minutes. How many miles can she run in 2 hours if she keeps a constant pace?

Answers

Answer:

13.34

Step-by-step explanation:

Answer:

15 miles is the answer, I hope this helps

Step-by-step explanation:

1. Set up a proportion

2. Convert 2 hours to 120 minutes

3. Cross multiply then divide the remaining number in the proportion

Henry has at least 3 times as much money as Deb. Using x= the amount of money Deb has and y= the amount of Henry has, write a inequality that would show all the possible amount of money that each could have. Give one possible solution

Answers

Answer:

y ≥ 3x

Possible solution:  x=1, y=3

Step-by-step explanation:

Since Henry has atleast 3 times as much money as Deb

y=3x

y must always be greater than or equal to 3x

if x=1 y=3

WILL MARK THE BRAINLIEST!!!!!
[only answer the 2nd and the 3rd]

Answers

Answer:

2. 120 cm^2

3. 3,750 cm^2

Step-by-step explanation:

To find the surface area of a rectangular prism, find the surface area of each side, then add them together.

2. There are two different shapes of faces on this prism (as with all rectangular prisms). One face's surface area has a measure of 4 cm by 6m. To find the surface area of that face, multiply each side length. 4 * 6 = 24. Let's call this length A.

Then, find the surface area of the other face. The other face has a measurement of 4 cm by 3 cm. 4 * 3 = 12. Let's call this length B.

Now, find the amount of each face on the prism. Length A appears 4 times: the front, back, top, and bottom are all the same shape. Length B appears 2 times: the left and right sides. Therefore, multiply length A's surface area by 4 and length B's surface area by 2.

24 * 4 =  96

12 * 2 = 24

Lastly, add both numbers together.

96 + 24 = 120

Adding the label, we get the final answer: 120 cm^2.

3. Now, apply the same steps to problem #3.

One face has a measurement of 45 cm by 25 cm. This means that the surface area of that face is 1,125 cm. Let's call this length A.

The other face has a measurement of 15 by 25. This means that the surface are of that face is 375 cm. Let's call this length B.

Length B appears 4 times, and length A appears twice. Evaluating 375 * 4, we get 1,500. Evaluating 1,125 by 2, we get 2,250.

Lastly, adding 2,250 to 1,500 and adding the label, we get the final answer: 3,750 cm^2.

The product of (x+p)(x+q) can be written as x^2+(p+q)x+pq.
An intermediate step in this multiplication is
x^2+px+qx+pq=x^2+(p+q)x+pq.
Explain why px+qx=(p+q)x.
I'm Really confused please help!

Answers

Answer:

[tex]px+qx=(p+q)x[/tex] by taking out the common factors.

Step-by-step explanation:

It is given that the product of [tex](x+p)(x+q)[/tex] is [tex]x^2+(p+q)x+pq[/tex].

Given expression is

[tex](x+p)(x+q)[/tex]

Using distributive property, we get

[tex]x(x+q)+p(x+q)[/tex]

[tex]x(x)+q(x)+p(x)+p(q)[/tex]

[tex]x^2+qx+px+pq[/tex]

In middle terms px and qx the highest common factor is x. So taking out common factor from middle terms we get

[tex]x^2+x(q+p)+pq[/tex]

It can be written as

[tex]x^2+x(p+q)+pq[/tex]

Therefore, [tex]px+qx=(p+q)x[/tex] by taking out the common factors.

A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 35% salt and Solution B is 80%
salt. She wants to obtain 90 ounces of a mixture that is 40% salt. How many ounces of each solution should she use?
Solution A:
Solution B:

Answers

Answer:

80? bc yhu cant use solution a because it only has 35...i think

Step-by-step explanation:

if im wrong sorry

The requried scientist should use 80 ounces of Solution A (35% salt) and 10 ounces of Solution B (80% salt) to obtain a 90-ounce mixture that is 40% salt.

Let's assume the scientist uses x ounces of Solution A and y ounces of Solution B to obtain the desired mixture.

From the information given, we can set up the following equations:

Equation 1: The total amount of solution is 90 ounces, x + y = 90

Equation 2: The amount of salt in the mixture can be expressed as, 0.35x + 0.80y = 0.40 * 90

Simplifying Equation 2:
0.35x + 0.80y = 36

To solve these equations, we can use substitution or elimination. Let's use the substitution method.

From Equation 1, we can express x = 90 - y and substitute it into Equation 2:

0.35(90 - y) + 0.80y = 36

31.5 - 0.35y + 0.80y = 360

45y = 4.5y = 10

Substituting y = 10 back into Equation 1:

x + 10 = 90

x = 80

Therefore, the scientist should use 80 ounces of Solution A (35% salt) and 10 ounces of Solution B (80% salt) to obtain a 90-ounce mixture that is 40% salt.

Learn more about equations here:

https://brainly.com/question/29120208

#SPJ4

What is the area of the rectangle?
4 cm
3 cm
4 square centimeters
7 square centimeters
12 square centimeters
24 square centimeters

Answers

The area of the rectangle is 3x4

Which equals 12
So it is C

MULTIPLE CHOICE:

A. x2 + 1 = 2x − 3
B. x2 – 2x − 1 = 3
C. x2 + 2x − 1 = 3
D. x2 + 2x − 1 = -3

Answers

Answer:

C

Step-by-step explanation:

The first term -2 is also -B; therefore A and B can be eliminated.

-1+3 is 2, and -4 is the only term used in the formula, so D is also eliminated

What is the product?
2x(x-4)
O 2x2-4
O 2x2-8
O 2x2 - 4x
O 2x2-8x

Answers

Answer:

d. 2x^2-8x

Step-by-step explanation:

ure just doing distributive property.

The product of 2x(x-4) is 2x² - 8x

HOW TO OPEN BRACKET?

In a mathematics, algebraic expressions can be in bracket. This bracket means we multiply all the variables outside by those inside.

According to this question, we are given the following expression: 2x(x-4)

This means that 2x multiples x and -4 independently.

That is; 2x × x and 2x × -4

2x² - 8x

Therefore, the product of 2x(x-4) is 2x² - 8x.

Learn more about factorization at: https://brainly.com/question/6810544

Find the area of the trapezoid by decomposing it into other shapes.
A) 25 cm2
B) 27 cm2
C) 30 cm2
D) 35 cm2

Answers

Answer:

35 cm2

Step-by-step explanation:

Answer:

The area of the trapezoid would be 30 cm squared.

Step-by-step explanation:

help so hard!!! i need help

Answers

Answer:

1. b

2. are like terms

Step-by-step explanation:

1. this is b because when you distribute, each of the terms in the parentheses will get multiplied by 3.

2. these are like terms because they have no variables. they are just numbers so they are like terms

find the volume, help please all numbers are in inches, will mark brainleist ​

Answers

Prism volume will be base area times height.  We have a right triangular base, so its area is half the product of its legs, area (1/2)(6)(8)=24.  The prism has a height 13.  Multiplying we get a volume of 24×13 = 312 cubic inches.

Answer:  312 cubic inches

Which ordered pair is a solution of the equation?
2x + 4y = 6x - y

a. only 4,5
b. only 5,4
c. both 4,5 and 5,4
d. neither

pls answer​
ill mark brainliest

Answers

You Answer is: 4x - 5y = 0

Answer:

b. only 5,4

Step-by-step explanation:

please help me!!!!!!!!!!​

Answers

Answer:

(1,4)

(2,6)

(3,8)

(4,10)

(5,12)

Step-by-step explanation:

Katie has a cube with an edge length of
3 inches. Malea has a cube whose volume is 8
times greater than the volume of Katie's cube.
What is the length of Malea's cube?

Answers

Answer:

216 inches^3

Step-by-step explanation:

Volume= Length x Width x Height

Volume of Katie's cube is 3x3x3 (27 inches^3)

Malea's cube is 8x the volume of Katie's cube, so Malea's cube is 8 x 27, which is 216 inches^3

Help please

0.3 [. ] 0.4
What is the decimal
<,> or =

Answers

The answer to that is

alejandro rosario or mattia polibio?

Answers

Answer:

Alejandro Rosario

Step-by-step explanation:

he is just really cute, well both of them are, but his personality seems nice.

Answer:

ale

Step-by-step explanation:

Which of the following is an equation?
x+y
2x – 7 = 13
3x + 5y > 9
3x + 5y - 9

Answers

2x -7=13 is an equation because it has an equal sign.

It cost Leah $1.50 to send 10 text messages. How many text messages did she send if she spent $7.05?

PLEASE ANSWER

Answers

Answer:

47 text messages

Step-by-step explanation:

7.05 divided by 1.50 which is 4.7

The multiply 4.7 times 10 which give you 47.

10 texts = $1.50

/10              /10

1 text = $0.15

# of texts = $7.05/$0.15 = 47 texts

Answer:

47 texts

The table represents the temperature of a cup of coffee over time.Which model best represents the data set? exponential, because there is a relatively consistent multiplicative rate of change exponential, because there is a relatively consistent additive rate of change linear, because there is a relatively consistent multiplicative rate of change linear, because there is a relatively consistent additive rate of change

Answers

Answer:

A.   exponential, because there is a relatively consistent multiplicative rate of change

step-by-step explanation:

edge

Answer:

This question is multiple choice and the answer would be A

Step-by-step explanation:

I just took it its correct

Combine the Expression:(10x - 4) + (-7 + x)

Answers

Answer:

11x-11

Step-by-step explanation:

(10x-4)+(-7+x)

10x-4-7+x

11x-11

Answer:

11x-11

Step-by-step explanation:

10x+x=11x

-4+(-7)=-11

11x-11

if this is right a brainliest would be very appreciated!

Pls someone help on this one

Answers

Answer:

a) Turned around and went back to their starting point

b) 8km/h

Step-by-step explanation:

a) the numbers on the left running vertically show the distance covered. When the line goes down again, it shows that Jo was taking away from the distance covered. After 10 minutes, Jo turned and went back to their starting point.

b) from 30 mins to 60 mins is half an hour. In that time, Jo covered 4km and therefore, if they continued at the same speed, in 1 hour (30 mins x 2), Jo would have covered 8km (4km x 2).

∴ Jo is travelling at 8km/h for the last half hour.

I hope this was helpful :-)

Solve for x.

-30 = 5(x+1)​

Answers

Answer:

−30=5(x+1)

Step 1: Simplify both sides of the equation.

−30=5(x+1)

−30=(5)(x)+(5)(1)(Distribute)

−30=5x+5

Step 2: Flip the equation.

5x+5=−30

Step 3: Subtract 5 from both sides.

5x+5−5=−30−5

5x=−35

Step 4: Divide both sides by 5.

5x5=−355

x=−7

Answer:

x=−7

Answer:

x = -7

Step-by-step explanation:

Since this problem has the distributive property, we can simplify the problem.

-30 = 5x + 5

Now we have to subtract 5 from both sides because of the +5.

-35 = 5x

To find the answer, we have to move all the real numbers to one side, the variable on the other. To do this, we can simply divide both sides by 5.

-7 = x

x = -7

Maya is researching energy costs. She made a table of the cost for different numbers of gallons of gasoline. How much will 12 gallon cost?
A.$7.80

B.$23.40

C. $31.20

D. not enough information

Answers

Answer:

The answer is B

Step-by-step explanation:

BEcause I took the test

Answer:

B. $23.40

Step-by-step explanation:

1. You have to divided the cost by the number of gallons to get the the cost per gallon

2. multiply the number of gallons by the cost per gallon that you found

Then you have your answer!

A box contains 7 yellow, 5 blue, and 4 red balls. Three balls are drawn at random. Find the probability that:

Exactly two balls are yellow

Answers

Answer:

1/6 is the probability. im pretty sure

Suppose that y varies inversely with x. Given x=-3 when y=-105. Find y when x=15

Answers

Answer:

21

Step-by-step explanation:

It is given that y varies inversely with x.

[tex]y\propto \dfrac{1}{x}[/tex]

[tex]y=\dfrac{k}{x}[/tex]       ...(i)

where, k is constant of proportionality.

It is given that x=-3 when y=-105. Substitute these values in equation (i), to find the value of k.

[tex]-105=\dfrac{k}{-3}[/tex]

[tex]-105\times (-3)=k[/tex]

[tex]315=k[/tex]

Now,

[tex]y=\dfrac{315}{x}[/tex]

Substitute x=15 in the above equation.

[tex]y=\dfrac{315}{15}[/tex]

[tex]y=21[/tex]

Therefore, the value of y is 21 when x=15.

Solve the equation in the image

Answers

Answer: 55

Step-by-step explanation:

[tex]\sqrt[3]{4x-4}=6[/tex]

Begin by cubing each side of the equation to get rid of the cubic root.

[tex](\sqrt[3]{4x-4})^3=(6)^3\\ 4x-4=216[/tex]

add 4

[tex]4x-4+4=216+4\\4x=220[/tex]

Divide by 4

[tex]\frac{4x}{4}=\frac{220}{4}[/tex]

[tex]x=55[/tex]

Answer:

it is zero

Step-by-step explanation:

Please help ;-;, I really need it-

Answers

Answer:

See below

Step-by-step explanation:

For a more detailed explanation, take a look at PDF below;

Surface Area of First Figure; 544 in^2,

Surface Area of Second Figure; 276 ft^2,

Surface Area of Third Figure; 1240 yd^2

-4x -4y=-5

12x + 12y =15
What do the following equation represent

Answers

Answer:

x=5/4 -y

Step-by-step explanation:

12x-12x   12x-12x     12 divided by 0 = undefined

subtract 12 from both sides of the equation then divide by 12.

so the answer would be:

y= 5/4 -x

omg please help meee fastttt​

Answers

Answer:

Jill will make less money if they both work 3 hours

Step-by-step explanation:

Trust me. I hope this helps :)

The last option(D)

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