Answer: it will take 43.25 years
Step-by-step explanation:
We would apply the formula for determining compound interest which is expressed as
A = P(1+r/n)^nt
Where
A = total amount in the account at the end of t years
r represents the interest rate.
n represents the periodic interval at which it was compounded.
P represents the principal or initial amount deposited
From the information given,
P = $1000
A = $10450
r = 5.5% = 5.5/100 = 0.055
n = 2 because it was compounded 2 times in a year.
Therefore,.
10450 = 1000(1 + 0.055/2)^2 × t
10450/1000 = (1 + 0.0275)^2t
10.45 = (1.0275)^2t
Taking log of both sides, it becomes
Log 10.45 = 2t log 1.0275
1.019 = 2t × 0.01178 = 0.02356t
t = 1.019/0.02356
t = 43.25 years
Answer:
44
Step-by-step explanation:
Answer:
A. 4.5 ft
B. 4 ft
C. 1 ft
Step-by-step explanation:
If you pretend that h is replacing y and d is replacing x and you would graph the equation, then you would get a parabola that opens down.
You would need to find the vertex of the parabola. The ordered pairs would be (d, h) instead of the normal (x, y).
A. The maximum height will be the h value of the vertex
B. Let h = 0 and solve the equation for d. That will give you distance from the stump that the frog landed.
C. The distance from the log at the maximum height is the d value of the vertex
So, that is what is needed to be done.
Without me going thru all the work, the vertex is (1, 4.5) and the solutions to the equation when h = 0 are 4, -2 (discard -2 since a distance cannot be negative)
So the answer to A is 4.5 ft.
The answer to B is 4ft.
The answer to C is 1 ft.
Now, can you find the vertex on your own and can you solve the equation when h = 0? I hope so. OK?
Answer:
sssssss
Step-by-step explanation:
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Answer:
2/3
Step-by-step explanation:
since
3 * 2 = 6
and
3 * 3 = 9
