Answer:
5(3n - 4)(3n - 10)
Step-by-step explanation:
15n² - 110n + 200 ← factor out 5 from each term
= 5(3n² - 22n + 40) ← factor the quadratic
consider the factors of the product of the coefficient of the n² term and the constant term which sum to give the coefficient of the n- term.
product = 3 × 40 = 120 and sum = - 22
the factors are - 12 and - 10
use these factors to split the n- term
3n² - 12n - 10n + 40 ( factor the first/second and third/fourth terms )
3n(n - 4) - 10(n - 4) ← factor out (n - 4) from each term
(n - 4)(3n - 10)
then
15n² - 110n + 200 = 5(n - 4)(3n - 10)
Answer:
-768
….......
Substitute n = 8 into the explicit formula
× 
= 
× 
= -768
Answer:
12
Step-by-step explanation:
Multiply the number of items with each other.
3 hats • 2 pairs of glasses • 2 mustaches
= 3 • 2 • 2
= 12
Formula for compound interest: A = P( 1 + r/n)^nt
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
^ = I used this symbol to present that a the number needs to go higher (see picture)
1. 500(1 + 2/100)^2 = 520.2
£520.20
2. 400(1 + 1.75/100)^2 = 414.12
£414.12
80 kilometers is equal to 80,000 meters. This is greater than 1000 meters.
