Answer:
B. The rate of increase is 4%
D. 2100 represents the initial deposit.
Step-by-step explanation:
Look at the equation modeling the savings account.
A = 2100(1.04)
1.04 represent the percent the current account is of the previous one.
That is a 4% increase, which remains the same, so B is one of the correct answers.
2100 was the original deposit, so D is correct as well.
Knowing this, B and D are correct.
Answer: Richard will owe $2024 after 1 year if he takes advantage of this option.
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 = 1588.57
r = 24.5% = 24.5/100 = 0.245
n = 12 because it was compounded 12 times in a year.
t = 1 year
Therefore,.
A = 1588.57(1+0.245/12)^1 × 12
A = 1588.57(1+0.245/12)^12
A = 1588.57(1+0.0204)^12
A = 1588.57(1.0204)^12
A = $2024.2
Answer:
Step-by-step explanation:
The upside down exclamation point(¡) denotes the subfactorial in math. There are two ways to approach solving the subfactorial, one being exact, while the other is a more practical approach.
One way (the mathematically correct way) is using the formula:
n=n!∑[(-1)^k]/k!, where k starts at 0 and counts to n.
However, another, less accurate way is simply ¡n = [n!/e], where the brackets mean to round to the nearest integer, which returns 2.25268983 * 10^(103)
Hope it helps :) and let me know if you want me to elaborate, or if the notation used was intended to be something else, as the subfactorial of 72 seems like an unnecessary amount of tedium.
Answer:
Maby b
Step-by-step explanation:
sorry if wrong
If 5/6 of her collection is hip-hop, then 1/6 of her collection is not hip-hop. So 1/4 of the remaining music is country so 1/6 times 1/4 is 1/24.
