Answer:
19
Step-by-step explanation:
when you multiply 19 by itself you get 361
Write an equation system based on the problem
"Agatha is five times older than her son, Bob" could be written as:
a = 5b.......(first equation)
"Three years ago, she was nine times older" could be written as:
a - 3 = 9(b - 3)......(second equation)
Solve the equation system
To find the value of b, substitute 5b as a to the second equation
a - 3 = 9(b - 3)
5b - 3 = 9(b - 3)
5b - 3 = 9b - 27
5b - 9b = -27 + 3
-4b = -24
b = -24/-4
b = 6
Her son, Bob, is 6 years old
To find Agatha's age, substitute the value of b to the first equation
a = 5b
a = 5 × 6
a = 30
Agatha is 30 years old
Answer:
1) $30,821 ( loan balance after 3 months in )
2) 8.56%
Step-by-step explanation:
Final Amount of compound interest: A = P ( 1 + i ) ^ n
p = principal = $30,000
r = interest rate = 11.41% = 0.1141
n = number of years
1) Loan balance after 3 months
n = 3/12 = 0.25 years
A = 30,000 ( 1 + 0.1141 ) ^ 0.25
= $30,821 ( loan balance after 3 months in )
2) Loan Balance after 1 year
A = 30,000 ( 1 + 0.1141 ) ^ 1
= $33423
interest on loan = 33423 - 30,000 = $3423
percentage of $40,000 is $3423
= 3423 / 40,000 * 100
= 8.56%
The first option :
Multiply the first equation by 8 and the second equation by 2
would not result in the elimination of the variables in this system
Answer:
-$5.50>x>$20
Elena has more than -$5.50 but less than $20.
Step-by-step explanation:
Ok, so the question says that Elena has -$5.50 in her account. That means that she owes someone ( the bank) $5.50.
Elena then mows the lawn which may have paid off her debt. But we don't know that for sure.
All they give us is that Elena has less than $20 in her bank account.
So your answer may look like this:
-$5.50>x>$20
Elena has more than -$5.50 but less than $20.
