Answer:
To find the value of missing exponent, we have to split the number which is in other side of equal sign (which is not having power) as the multiple of base of the missing exponent.
On both sides, powers have the same base, so their exponents must be equal.
Step-by-step explanation:
<h3>Problem 1:</h3>
Write the missing exponent:
25=5^x
Let x be the missing exponent.
To find the value missing exponent, we have to split the number which is in the left side as the multiple of the base of the missing exponent.
That is,
25=5*5 or 5^2
Now,
5^2=5^x
Powers have the same base so their exponent must be equal.
Hence the missing exponent is 2
Answer:
B
Step-by-step explanation:
Answer:
15000(1.003425)^12t ;
4.11%
4.188%
Step-by-step explanation:
Given that:
Loan amount = principal = $15000
Interest rate, r = 4.11% = 0.0411
n = number of times compounded per period, monthly = 12 (number of months in a year)
Total amount, F owed, after t years in college ;
F(t) = P(1 + r/n)^nt
F(t) = 15000(1 + 0.0411/12)^12t
F(t) = 15000(1.003425)^12t
2.) The annual percentage rate is the interest rate without compounding = 4.11%
3.)
The APY
APY = (1 + APR/n)^n - 1
APY = (1 + 0.0411/12)^12 - 1
APY = (1.003425)^12 - 1
APY = 1.04188 - 1
APY = 0.04188
APY = 0.04188 * 100% = 4.188%
Answer:
20/3 or 6 2/3
Step-by-step explanation:
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To answer the question, we utilize the given data and solve for the number of customers left in the store after every 1 hour interval.
Initially, there were 75 customers.
1:00 to 2:00 : 75 + 30 - 12 = 93
2:00 to 3:00 : 93 + 14 - 8 = 99
3:00 to 4:00 : 99 + 18 - 30 = 87
4:00 to 5:00 : If the store does not accept any more customers except those who are already inside then, all 87 must leave between 4:00 to 5:00 in order to empty out the store by 5:00
ANSWER: (a) 4:00 to 5:00
(b) 87 customers
