Answer:
B
Step-by-step explanation:
You use the distributive Property
-3(x-3)
-3x+9
Answer:
1.) Yes
2.) Yes
Step-by-step explanation:
Given that
n = k(k + 7)
If k is a positive integer and n = k(k + 7), is n divisible by 6 ?
(1) k is odd. Yes.
Let assume that k = 3
Then, n = 3(3 + 7)
n = 3 × 10
n = 30.
30 is divisible by 6.
(2) When k is divided by 3, the remainder is 2. That is,
Let k = 5
Then,
5/3 = 1 remainder 2
Substitute k into the equation
n = k(k + 7)
n = 5(5 + 7)
n = 5 × 12
n = 60
And 60 is divisible by 6.
Therefore, the answer to both questions is Yes.
Answer:
b
Step-by-step explanation:
Answer:
c = (d/a) - b
Step-by-step explanation:
a(c + b) = d
Divide both sides by a
c + b = d/a
subtract b from both sides
c = (d/a) - b
Answer: the total amount after 6 years is 4690
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 of the loan 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 loaned.
From the information given,
P = 2900
r = 8% = 8/100 = 0.08
n = 12 because it was compounded 12 times in a year.
t = 6 years
Therefore,
A = 2900(1 + 0.08/12)^12 × 6
A = 2900(1 + 0.0067)^72
A = 2900(1.0067)^72
A = 4690
