9514 1404 393
Answer:
- annually: 9.01 years
- monthly: 8.69 years
- daily: 8.67 years
- continuously: 8.66 years
Step-by-step explanation:
For interest compounded in discrete intervals, the formula is ...
A = P(1 +r/n)^(nt)
We want to find t for P=1 and A=2, so we have ...
2 = (1 +r/n)^(nt)
ln(2) = nt·ln(1+r/n)
t = ln(2)/(n·ln(1+r/n))
A table of values for r=0.08 is attached.
__
For continuous compounding, the formula is ...
A = Pe^(rt)
t = ln(A/P)/r = ln(2)/0.08 ≈ 8.66434 . . . . years
__
- annually: 9.01 years
- monthly: 8.69 years
- daily: 8.67 years
- continuously: 8.66 years
Answer:
-25
Step-by-step explanation:
Using the commutative property of addition, we can rearrange the expression to 56-56-25. 56-56 = 0, so the answer is 0 - 25 = -25.
Answer: b. 14ft
Step-by-step explanation:
In the rectangle, the opposite sides are equal. The diagonal divides the rectangle into two equal right angle triangles. The diagonal represents the hypotenuse of both right angle triangles. The length and width represents the opposite and adjacent sides of the right angle triangles.
To determine the length, L of the rectangle, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
Therefore,
16² = L² + 7²
256 = L² + 49
L² = 256 - 49 = 207
L = √207
L = 14.38
the closest to the length of this rectangle in feet is
14ft
1 yard = 3 feet
4 yards x 3 feet = 12 feet
12 feet is less than 13 feet
So False, 4 yards is <em>less than </em>13 feet
hope this helps