Answer:

Step-by-step explanation:
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Price after off =80- 1/4 * 80 = 80-20 = $60
Coupon discount = 60*10/100 = $6
So, he have to pay, 60-6 = $54
Answer:



Step-by-step explanation:
First, let's look at the largest triangle (two smaller triangles are combined) to solve for
. Since the sum of the angles in a triangle adds up to
, we can write the equation:



Looking at the smaller triangle on the left,
(exterior angle) is the sum of the two opposite interior angles of the triangle on the left:


Since
is the exterior angle of the triangle on the right, it is equivalent to the sum of the opposite interior angles of that triangle:



Hope this helps :)
Answer:
b. (1, 3, -2)
Step-by-step explanation:
A graphing calculator or scientific calculator can solve this system of equations for you, or you can use any of the usual methods: elimination, substitution, matrix methods, Cramer's rule.
It can also work well to try the offered choices in the given equations. Sometimes, it can work best to choose an equation other than the first one for this. The last equation here seems a good one for eliminating bad answers:
a: -1 -5(1) +2(-4) = -14 ≠ -18
b: 1 -5(3) +2(-2) = -18 . . . . potential choice
c: 3 -5(8) +2(1) = -35 ≠ -18
d: 2 -5(-3) +2(0) = 17 ≠ -18
This shows choice B as the only viable option. Further checking can be done to make sure that solution works in the other equations:
2(1) +(3) -3(-2) = 11 . . . . choice B works in equation 1
-(1) +2(3) +4(-2) = -3 . . . choice B works in equation 2
Answer: y= 1200 (1.025)^t
Step-by-step explanation:
Hi, to answer this question we have to apply an exponential growth function:
A = P (1 + r) t
Where:
p = original population
r = growing rate (decimal form)
t= years
A = population after t years
Replacing with the values given:
1200= 1200 (1+ 2.5/100)^5
1200= 1200 (1+ 0.025)^5
1200= 1200 (1.025)^5
For the number of rabbits, y, at the end of t years
y= 1200 (1.025)^t
Feel free to ask for more if needed or if you did not understand something.