We want to solve 4|p-3| = |2p+8|
Ths equation is equvalent to 4 equatons.
Case 1.
4(p - 3) = 2p + 8
4p - 12 = 2p + 8
2p = 20
Answer: p = 10
Check the solution.
4|p-3| = 4*7 = 28
|2p+8| = 2*10+8 = 28
The solution is correct.
Case 2.
4(3 - p) = 2p + 8
12 - 4p = 2p + 8
4 = 6p
Answer: p = 2/3
Check the solution.
4|p-3| = 4*|(2/3-3)| = 28/3
|2p+8| = 28/3
The solution is correct.
Case 3.
4(p-3) = -2p - 8
4p - 12 = -2p - 8
6p = 4
Answer: p = 2/3
The solution is correct because it was checked in case 2.
Case 4.
4(3 - p) = -2p - 8
12 - 4p = -2p - 8
20 = 2p
Answer: p = 10
The answer s correct because t was checked in Case 1.
Answers:
p = 10 or p = 2/3.
Both answers check out to be correct.
Answer:
The pre-image is the point (0,11)
Step-by-step explanation:
we know that
The rule of the translation is equal to
pre-mage------> image
(x,y) -----> (x+1,y-4)
so
we have that
(x+1,y-4)=(1,7)
so
x+1=1 -----> x=1-1=0
y-4=7 ----> y=7+4=11
therefore
The pre-image is the point (0,11)
Answer is C) 51
Angle y is 62 degrees because it forms a straight line with the angles next to it (57 and 61) so angle y must be 62.
There are 180 degrees in a triangle so 180-62-67 = 51
Answer:
$908.93
Step-by-step explanation:
-The effective loan amount is :
#We calculate the effective monthly interest rate:
#Now we use the formula below to calculate the monthly payments:
![P=S[\frac{r(1+r)^t}{(1+r)^t-1}]](https://tex.z-dn.net/?f=P%3DS%5B%5Cfrac%7Br%281%2Br%29%5Et%7D%7B%281%2Br%29%5Et-1%7D%5D)
, Where S is the loan amount and P the monthly payments.
Therefore:
![P=S[\frac{r(1+r)^t}{(1+r)^t-1}]\\\\=173000[\frac{0.004010(1+0.004010)^{360}}{(1+0.0040)^{360}-1}]\\\\=908.93](https://tex.z-dn.net/?f=P%3DS%5B%5Cfrac%7Br%281%2Br%29%5Et%7D%7B%281%2Br%29%5Et-1%7D%5D%5C%5C%5C%5C%3D173000%5B%5Cfrac%7B0.004010%281%2B0.004010%29%5E%7B360%7D%7D%7B%281%2B0.0040%29%5E%7B360%7D-1%7D%5D%5C%5C%5C%5C%3D908.93)
Hence, Baggio will make monthly payments of $908.93 each.
