$14,000 is deposited into a savings account with an annual interest rate of 4% compounded continuously. How much will be in the account after 3 years? Round to the nearest cent. $15,784.96 $15,820.00 $43,714.05 $46,481.64 if you could could you please explain thank you.

Answers

Answer 1
Option A = $15,748.096
Formula for compound interest = P(1+Interest Rate)^n
=> 14000(1.04)^3
=$15,748.096
Answer 2

$14,000 is deposited into a savings account with an annual interest rate of 4% compounded continuously then $15,784 is the amount after 3 years.

What is Probability?

It is a branch of mathematics that deals with the occurrence of a random event.

Given that $14,000 is deposited into a savings account with an annual interest rate of 4% compounded continuously.

We need to find the amount in the account after 3 years.

[tex]A=Pe^r^t[/tex]

where A is the amount of money after t years,

P is the principal amount

r is the annual interest rate

P = $14,000, r = 0.04 and t=3

[tex]A = 14000e^(^0^.^0^4^3)[/tex]

A = 15,784

Hence, $14,000 is deposited into a savings account with an annual interest rate of 4% compounded continuously then $15,784 is the amount after 3 years.

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Jason helped his dad put plastic and aluminum items into the recycling container. The container is a large cube with a length, width, and height of 6 feet. What is the volume of the recycling container?

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its 216 cubic feet.

Step-by-step explanation:

6x6x6 is 216

Write the repeating decimal as a mixed number.

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1 1/30

Explanation:

we know that 0.3 (recurring) is equivalent to ⅓. thus, we can find 0.03 (recurring) by adding an extra decimal behind the denominator to get 1/30.

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The answer :

11/30

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Answer:

this question doesnt make a lot of sence but i think its 90

Step-by-step explanation:

45+45 = 90

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Answer:

Its a vertical angel, x + 45 =90.

Step-by-step explanation:

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Answer:

D

Step-by-step explanation:

a=[tex]\sqrt{c^{2} -b^{2} }[/tex]

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Answer:

(-2,2), (6,6)

Step-by-step explanation:

..........

For the prisms below, a) name it; b) find its Lateral Area, c) find its Total (Surface) Area, and d) find its Volume. Round to the nearest hundredth if necessary.

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12-2 Surface Areas of Prisms and Cylinders ... Round to the nearest tenth if necessary. ... We need to find the area of the triangle to determine ... The total surface area of the prism is the sum of the ... the mailer and its net. b. Suppose you want to minimize the surface area of the mailer. What would be the dimensions of the Step-by-step explanation:

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Answers

Answer:

Circumference of circle = πd = π × 16 =16 π in.

or

circumference of circle = 2πr = 2×π×8= 16 π in.

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Answers

Not a robot! I don't think.

Y in the beginning goes up to 3.

Y in the end goes down to -2 before shooting back up in an infinite sense.

Increasing: The beginning and the end the line on the graph. (Also the jump in the middle, the round part.)

Decreasing: The middle of the graph. (The jump, downward slope.)

Constant, Y at the near end going in a straight line from 9-12 at a -2.

End behavior: Decide for yourself. Is the line going up without fault at the end an appearing continuous or a discontinuous line?

Answer:

End Behavior:

x⇒-8,y⇒-∞

x⇒∞,y⇒∞

Increasing:

(-∞,1},{3,5},{12,∞)

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{1,3},{5,9}

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have a great day

SOLVE !!!!!!!!!!!!!!!!!!!!!

9/ (-3) + 6 x 2 – 7
SHOW YOUR WORK

Answers

Answer:

Step-by-step explanation:

9/(-3)+6x2-7

9/-3 = -3,

6 x 2 = 12,

-3 + 12 = 9,

9-7 = 2

Answer:

2

Step-by-step explanation:

9/(-3)+6*2-7

-9/3+6*2-7     simplify 9/3 to 3

-3+6*2-7

-3+12-7

9-7

2

Which expression is equivalent to (23)–2 • 25?

Answers

Answer:

Step-by-step explanation:

That would be 23 - 50, or -27.

Next time, please include the answer choices.  Thank you.

15 + 10y - 4xy - 6 6.​

Answers

Answer:

Step-by-step explanation:

15+10y−4xy−66

Soustraire 66 de 15 pour obtenir −51.

−51+10y−4xy

Answer:

-4y

Step-by-step explanation:

15 + 10y - 4xy - 6=-4y

The quotient of a number and 7 decreased by 5 is 10. Write an equation and solve it to find the missing number.

Answers

Answer:

x = 105

Step-by-step explanation:

Let the unknown (missing) number be x.

In Mathematics, quotient simply means division i.e to divide a number by another.

Thus, translating the word problem into an algebraic expression, we have;

[tex] \frac{x}{7} - 5 = 10 [/tex]

To find the value of x, we would simplify the algebraic expression.

[tex] \frac{x}{7} = 10 + 5 [/tex]

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Graph the function. Label the vertex and axis of symmetry. g(x)=4x^2-48x+7

Answers

Vertex: (3,-65) axis of Symmetry: x = 3

I NEED HELP PLZ, WILL MARK BRAINLIEST!!

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21Answer:

Step-by-step explanation:

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Answer:

5

Step-by-step explanation:

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Answers

I think the answer is 8

Answer:

x = 7.5

I used the Pythagorean theorem:

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Step-by-step explanation:

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Answer:

( -9, -6)

Step-by-step explanation:

The red dot is the original (6, 9)

The blue dot is when it is rotated 270 degrees clockwise (-9, -6).

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Answers

Answer:

All false.

Step-by-step explanation:

The ratio is 3:4.

For every 3 girls, there are 4 boys.

If a class has 7 people, 3 are girls and 4 are boys.

Hence the fraction of boys is 4/7 and girls are 3/7.

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Answers

Answer:

x= -11

Step-by-step explanation:

1/2(x-8)=3/2x+7

distribute

1/2x-4 = 3/2x+7

subtract 1/2x from both sides

1/2x cancels out

-4 = 1x+7

subtract 7 from both sides

-11 = 1x (1x is the same as "x")

Answer:

x=-11

Step-by-step explanation:

The solution to the equation is -11.

First I set up the equation.

1/2(x-8)=3/2x+7

Next, I simplified the equation. 1/2x-4=3/2x+7.

Then, I added 4 to both sides. 1/2x=3/2x+11.

Next, I subtracted 3/2x on both sides. -1x=11.

Then, I divided -1 on both sides, so I would have x by itself.

x=-11.

In conclusion, the solution to the equation is x= -11.

To check to make sure this is the correct answer, I put -11 into the x values of the equation.

1/2(-11-8)=3/2(-11)+7

Both sides of the equation equal -19/2.

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Answer:

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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Answers

Answer: 4

Step-by-step explanation:

Formula:

logb(x) = y, if by = x

Input:

x = 256

b = 4

Solution:

y = log4 256

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Out of 160 workers surveyed at a company, 37 walk to work.
a. What is the experimental probability that a randomly selected worker at that company walks to work?
b. Predict about how many of the 3300 workers at the company walk to work.

Answers

Answer:

Step-by-step explanation:

i got it wrong and it showed this instead

a-0.23125

b-720

The required,
(a) The experimental probability that a randomly selected worker at that company walks to work is approximately 0.23125 or 23.125%.

(b) we can predict that about 762 of the 3300 workers at the company walk to work.

What is probability?

Probability can be defined as the ratio of favorable outcomes to the total number of events.

a. The experimental probability of a randomly selected worker at that company walking to work can be calculated as the ratio of the number of workers who walk to work to the total number of workers surveyed:

Experimental probability = Number of workers who walk to work / Total number of workers surveyed

Experimental probability = 37 / 160

Experimental probability = 0.23125 or 23.125%

Therefore, the experimental probability that a randomly selected worker at that company walks to work is approximately 0.23125 or 23.125%.

b. To predict about how many of the 3300 workers at the company walk to work, we can use the experimental probability calculated above to estimate the number of workers who walk to work out of the total number of workers:

Number of workers who walk to work = Experimental probability x Total number of workers

Number of workers who walk to work = 0.23125 x 3300

Number of workers who walk to work = 762.375

Therefore, we can predict that about 762 of the 3300 workers at the company walk to work.

Learn more about probability here:

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Answers

Answer:

-1/6

Step-by-step explanation:

Take the absolute value of all the numbers. The smallest one corresponds to the number closest to zero.

Answer: -1/6

Mary typically walks 28 yards south on Pine Street and 45 yards east on Maple Avenue in order to get to school. How much shorter would his walk be if she took the shortcut shown below PLSSSS HELPPPP

Answers

B- 20 yards
Step-by-step explanation:
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