How much would $200 invested at 4% interest compounded monthly be worth after 8 years? Round your answer to the nearest cent. a(t)=p(1+r/2)^nt
A. $205.40
B. $273.71
C. $322.83
D. $275.28

Answers

Answer 1
Answer: your formula is wrong
it should be
A=P(1+ (r)/(n))^(nt)
A=future amount
P=present amount
r=rate in decimal
n=number of times per year compounded
t=time in years


given
P=200
R=0.04
N=12 (12 months in 1 year)
t=8


A=200(1+ (0.04)/(12))^((12)(8))
A=200(1+ 0.003333333)^(96)
A=200(1.003333333)^(96)
A=275.279
round
275.28

D is answer
Answer 2
Answer:

The worth of  $200 invested at 4% interest compounded monthly after 8 years would be $275.28.

What is the future value?

When an amount is compounded monthly, both the amount invested and the interest accrued increase in value every month.

The formula for calculating future value:

FV = P (1 + r)^nm

  • FV = Future value
  • P = Present value
  • R = interest rate
  • m = number of compounding
  • N = number of years

$200(1 + 0.04/12)^(12 x 8) = $275.28

To learn more about future value, please check: brainly.com/question/18760477

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Which expression is equivalent

Answers

Answer:

a^9*b^6

Step-by-step explanation:

a^(-8)                              b              1                                         1

-------- = a^(-3), and   ----------- = ---------  Their product is --------------

a^(-5)                            b^(3)        b^2                                a ^3*b^2

This is the algebraic expression inside the parentheses.  We must now take

the negative 3rd power of this result.

  (a^3*b^2)^3 = a^9*b^6

         

A pair of equations is shown below:y = 3x − 5
y = 6x − 8

Part A: Explain how you will solve the pair of equations by substitution or elimination. Show all the steps and write the solution. (5 points)

Part B: If the two equations are graphed, at what point will the lines representing the two equations intersect? Explain your answer.

Answers

y = 3x - 5
y = 6x - 8

y = y
3x - 5 = 6x - 8
3x - 6x = -8 + 5
-3x = -3
x = -3/-3
x = 1

y = 3x - 5 ⇒ 3(1) - 5 = 3 - 5 ⇒ y = -2
y = 6x - 8 ⇒ 6(1) - 8 = 6 - 8 ⇒ y = -2

x = 1 ; y = -2   or  (1,-2) is the point of intersection.

Answer:

A.

y = 3x - 5

y = 6x - 8    We simply subtract the second equation from the first. This eliminates y:

0 = 3x - 6x - 5 - (-8)

0 = -3x - 5 + 8

3x = 3

x = 1

Now substitute for x in first equation:

y = 3(1) - 5

y = -2.

B.  x = 1 and y = -2  are the values that satisfy both equations. So the liones will intersect at this point (1, -2).

y = 3x - 5

y = 6x - 8    We simply subtract the second equation from the first. This eliminates y:

0 = 3x - 6x - 5 - (-8)

0 = -3x - 5 + 8

3x = 3

x = 1

Now substitute for x in first equation:

y = 3(1) - 5

y = -2.

B.  x = 1 and y = -2  are the values that satisfy both equations. So the liones will intersect at this point (1, -2).

Step-by-step explanation:

no need for one be sure to parapharse

Simplify
2x2(4x3 - 3x2 + 6x).

Answers

Answer:

The simplified form of the provided expression is 8x^(5) - 6x^(4) + 12x^(3)

Step-by-step explanation:

Consider the provided expression.

2x^2(4x^3 - 3x^2 + 6x)

Use the distributive property:

a(b+c)=ab+ac

By using the above property we can simplify it as shown:

2x^2(4x^3 - 3x^2 + 6x)

8x^((2+3)) - 6x^((2+2)) + 12x^((2+1))

8x^(5) - 6x^(4) + 12x^(3)

Thus, the simplified form of the provided expression is 8x^(5) - 6x^(4) + 12x^(3)

its hard to show you the steps just gotta payin attention to your teacher 
anyway i tried my best to show you the steps
tbh if you needed explanation you should more points

The side lengths of a triangle are 40, 50, and 80. What are the angle measures in the triangle?a) 30°, 60°, and 90°
b) 60°, 60°, and 60°
c) 45°, 45°, and 90°
d) None of these.

Answers

i think the answer is a

4x+11<23 solve this equation

Answers

4x + 11 < 23

      - 11  - 11

4x < 12

4x/4 < 12/4

x < 3

The area of a rectangular painting is 4275cm². if the length of the painting is 75cm, what is its width?

Answers

Answer:

Width = 57cm

Step-by-step explanation:

The area of a rectangle can be found by using the formula:

Area = Length * Width

Since we know that the area is 4275cm² and the length of the painting is 75cm, we can plug these into the above equation to solve for the width.

Area = Length * Width

4275cm² = 75cm * Width

To find the width, we can simply divide both sides by 75 so that the width measurement is isolated:

Width = 57cm

To verify this, we can multiply the length and width to see if the area equals 4275cm²:

75cm * 57cm = 4275cm²