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Serenitybella
21.03.2020 •
Mathematics
4400 dollars is placed in an account with an annual interest rate of 7.5%. To the nearest tenth of a year, how long will it take for the account value to reach 33800 dollars?
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Ответ:
Step-by-step explanation:
The equation for the amount of money in an account after a certain amount is deposited and compounded after t years once per year is
Our A(t) = 33800, P = 4400, r = .075 and we are looking for t. Filling in:
Begin by dividing both sides by 4400 to get
The only way to move that t our from its current position as an exponent is to take the natural log of both sides and follow the rules for natural logs:
The power rule of natural logs says we can move that exponent down in front, giving us:
Divide both sides by ln(1.075) to get
Do this division on your calculator to get
t = 28.2 years
Ответ:
it take 28.5 years for the account value to reach 33800 dollars
Step-by-step explanation:
We would assume that the interest was compounded annually. The formula for determining compound interest 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 = $4400
A = $33800
r = 7.5% = 7.5/100 = 0.075
n = 1 because it was compounded once in a year.
Therefore,
33800 = 4400(1 + 0.075/1)^1 × t
33800/4400 = (1 + 0.075)^t
7.68 = (1.075)^t
Taking log of both sides, it becomes
Log 7.68 = t log 1.075
0.885 = 0.031t
t = 0.885/0.031
t = 28.5 years
Ответ:
Las líneas paralelas son líneas coplanares que nunca se intersectan. En dos dimensiones, las líneas paralelas tienen la misma pendiente . son paralelas, ya que ambas tienen pendiente de 3.