Answer:
<em>$120</em>
Step-by-step explanation:
40% of the earnings is spent on rent.
The earnings is an unknown, so we call it x.
The rent is $800, so 40% of x equals $800.
40% * x = 800
0.4x = 800
x = 800/0.4
x = 2000
She earns $2000 per month.
After paying rent, the remaining amount is
$2000 - $800 = $1200
She spends 10% of the remaining amount on entertainment.
10% of $1200 = 10% * $1200 = 0.1 * $1200 = $120
Answer:
8x² - 14x - 15
Step-by-step explanation:
(4x + 3)(2x - 5)
8x² - 20x + 6x - 15
8x² - 14x - 15
Answer:
Step-by-step explanation:
A circle centered at (0,0) with radius r is 
Since your circle has diameter of 12, then its radius is 6. Then 
So a possible answer is:
If you want to move the location of the center, but keep it on the x-axis, then add or subtract a number to the x, such as this:
The center of this circle would be (-4, 0) which is still on the x-axis.
Answer:
f(n)=-5-3n
Step-by-step explanation:
Given the recursive formula of a sequence
f(1)=−8
f(n)=f(n−1)−3
We are to determine an explicit formula for the sequence.
f(2)=f(2-1)-3
=f(1)-3
=-8-3
f(2)=-11
f(3)=f(3-1)-3
=f(2)-3
=-11-3
f(3)=-14
We write the first few terms of the sequence.
-8, -11, -14, ...
This is an arithmetic sequence where the:
First term, a= -8
Common difference, d=-11-(-8)=-11+8
d=-3
The nth term of an arithmetic sequence is determined using the formula:
T(n)=a+(n-1)d
Substituting the derived values, we have:
T(n)=-8-3(n-1)
=-8-3n+3
T(n)=-5-3n
Therefore, the explicit formula for f(n) can be written as:
f(n)=-5-3n
A= l x b
70 = 14b
divide both sides by 14
b= 5
