Answer:
Step-by-step explanation:
You need to find the HCF of 36 and 90.
<u>Prime factors of each:</u>
<u>HCF includes all prime factors of both numbers:</u>
- HCF(36, 90) = 2*2*3*3*5 = 180
Answer:
C= 45 + 19.95h
Step-by-step explanation:
45 for each home vist means one time payment
19.95 ever hour means you are charged 19.95 every hour
H= hour
Answer:
The sum is 493.4
Step-by-step explanation:
In order to find the value of the sum, you have to apply the geometric series formula, which is:

where i is the starting point, n is the number of terms, a is the first term and r is the common ratio.
The finite geometric series converges to the expression in the right side of the equation. Therefore, you don't need to calculate all the terms. You can use the expression directly.
In this case:
a=40
b= 1.005
n=12 (because the first term is 40 and the last term is 40(1.005)^11 )
Replacing in the formula:

Solving it:
The sum is 493.4
Answer:
a^4 - a^3 + a^2 - 2a - (2)/(a + 1)
Answer:
<h2>
y - 2 = -3(x - 1)</h2>
Step-by-step explanation:
The point-slope form of the equation that describes the line with a slope of <em>m</em> that contains the point (x₀, y₀) is: y - y₀ = m(x - x₀)
m = - 3
(1, 2) ⇒ x₀ = 1, y₀ = 2
Therefore:
y - 2 = -3(x - 1)