Answer:
$12,415.48
Step-by-step explanation:
A = P (1 + r/n)^(nt)
where A is the final amount,
P is the initial amount,
r is the annual interest rate as a decimal,
n is the number of compoundings per year,
and t is the number of years.
A = 8000 (1 + 0.152/2)^(2×3)
A = 8000 (1.076)^6
A = 12415.48
First multiply and dstribute
a(b+c)=ab+ac
2(3x+2)=6x+4
6x+4=2x-1+x
add like terms
6x+4=3x-1
subtract 3x from both sides
3x+4=-1
subtract 4 from both sides
3x=-5
divide bothe sides by 3
x=-5/3
Ted:
4,000 @ 4.5% interest compounded annually
Alan:
1,000 @ 6% interest compounded annually
Rule of 72: divide 72 by the compound annual interest rate
Ted: 72/4.5% = 16 years
Alan: 72/6% = 12 years
<span>Alan will win. It will take 12 years.</span>
Answer:
Horizontal line: y=-5
Vertical line: x = 4
Step-by-step explanation:
As we have to determine the equations for the horizontal and vertical lines passing through the point (4, -5).
- To determine the equation for the horizontal line passing through the point (4, -5), we must observe that the horizontal line will always have the same y-value regardless of the x-value.
Therefore, the equation of the horizontal line passing through the point (4, -5) will be: y=-5
- To determine the equation for the vertical line passing through the point (4, -5), we must observe that the vertical line will always have the same x-value regardless of the y-value.
Therefore, the equation of the vertical line passing through the point (4, -5) will be: x=4
Hence:
Horizontal line: y=-5
Vertical line: x = 4
Answer:
60 degrees
Step-by-step explanation: It's hard and I might not be right, think through it and if you get what I got then submit it, I don't want the blood of failure in my hands >:D gl homie
