The worth of $200 invested at 4% interest compounded monthly after 8 years would be $275.28.
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
$200(1 + 0.04/12)^(12 x 8) = $275.28
To learn more about future value, please check: brainly.com/question/18760477
#SPJ5
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
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.
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
2x2(4x3 - 3x2 + 6x).
Answer:
The simplified form of the provided expression is
Step-by-step explanation:
Consider the provided expression.
Use the distributive property:
By using the above property we can simplify it as shown:
Thus, the simplified form of the provided expression is
b) 60°, 60°, and 60°
c) 45°, 45°, and 90°
d) None of these.
4x + 11 < 23
- 11 - 11
4x < 12
4x/4 < 12/4
x < 3
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