Answer:
10 minutes
Step-by-step explanation:
5/6 of an hours is 50 min. Assume x is the time she spends on each skill.
5x=50
x=10
Answer:
Transitive
Step-by-step explanation:
took test
Answer:
4s + 2
Step-by-step explanation:
The way we find the perimeter is we add up all the sides
s+1 + s + s+1 + s
Now we add up light terms and we get 4s+2 as our answer
Answer:
$221.44
Step-by-step explanation:
As the bank charges a <em>monthly </em>interest, we cannot calculate a simple or compound interest over the 8 month period. As the balance will decrease each month as Kylie makes payments, the interest applied each month will also decrease. Therefore, we have to use:
<u>Monthly Payment Formula</u>
where:
- PMT = monthly payment
- P = loan amount
- i = interest rate per month (in decimal form)
- n = term of the loan (in months)
Given:
- P = $1,700
- i = 0.925% = 0.00925
- n = 8 months
Substituting the given values into the formula and solving:
Therefore, the monthly payment to the nearest dollar will be $221.44
A)
y varies inversely as (x-1).
Implies y α 1/(x -1)
y = k/(x-1). Where k is constant of proportionality.
y*(x - 1) = k
when y = 12, x = 1/2
12*(1/2 - 1) = k
12*(0.5 - 1) = k
k = 12*(-0.5) = -6.
k = -6.
Equation connecting x and y
y*(x - 1) = k, recall k = -6
y*(x - 1) = -6
b)
when x = a.
y*(x - 1) = -6
y*(a - 1) = -6
y = -6 / (a -1)
when x = 2a.
y*(2a - 1) = -6
y = -6 / (2a -1)
Difference in y is 1.8
-6 / (2a -1) - -6/(a - 1) = 1.8
-6 / (2a -1) + 6/(a - 1) = 1.8
6 / (a -1) - 6 /(2a -1) = 1.8
6( 1/(a-1) - 1/(2a - 1)) = 1.8
1/(a-1) - 1/(2a - 1) = 1.8/6
1/(a-1) - 1/(2a - 1) = 0.3
((2a - 1) - (a - 1)) / ((a-1)(2a -1)) = 0.3
(2a - 1 -a + 1) /((a-1)(2a -1)) = 0.3
a / (2a² - 3a + 1) = 0.3
a/0.3 = 2a² - 3a + 1
10a/3 = 2a² - 3a + 1
2a² - 3a + 1 = 10a/3
2a² - 3a -10a/3 + 1 = 0
2a² - 19a/3 + 1 = 0
6a² - 19a + 3 = 0
This is a quadratic expression which can be factored.
6a² - 18a - a + 3 = 0
6a(a - 3) - 1(a - 3) = 0
(6a - 1)(a - 3) = 0
6a - 1 = 0 a = 1/6
a - 3 = 0 a = 3.
a = 3 or 1/6
Since a is positive integer, a = 3 only.
