Point slope form:
P(x₀,y₀)
slope=m
y-y₀=m(x-x₀)
1)
y-2=-3(x+6)
P(-6,2)
m=-3.
2)
y-5=7(x-14)
P(14,5)
m=7
3)
y+3.7=3.2(x-1.7)
P(1.7 , -3.7)
m=3.2
4)
y+1=11(x-1)
P(1 , -1).
m=11
5)
y+6=-4(x-8)
P(8 , -6)
m=-4
6)
y-7=4(x+3)
P(-3,7)
m=4
<u>ANSWER: </u>
Amount terry was charged in interest for the billing cycle is $ 4.9 approximately.
<u>SOLUTION:
</u>
Given, Terry has a credit card that uses the average daily balance method for the first 18 days of one of his billing cycles, his balance was $350, and for the last 12 days of the billing cycle, his balance was $520.
His credit cards APR is 14%
Using the average daily balance method, the amount to be used in calculating Theresa's interest is given by:
![\frac{\text { sum of product of number of days in bulling cycle and balance. }}{\text { moter }}=\frac{18 \times 350+12 \times 520}{18+12}\\\\=\frac{12540}{30}=418](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%20%7B%20sum%20of%20product%20of%20number%20of%20days%20in%20bulling%20cycle%20and%20balance.%20%7D%7D%7B%5Ctext%20%7B%20moter%20%7D%7D%3D%5Cfrac%7B18%20%5Ctimes%20350%2B12%20%5Ctimes%20520%7D%7B18%2B12%7D%5C%5C%5C%5C%3D%5Cfrac%7B12540%7D%7B30%7D%3D418)
Therefore, the interest charge on Theresa for the biling cycle is given by:
![\frac{\text {amount } \times A P R}{12 \text { months }}=\frac{418 \times 0.14}{12}=4.877](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%20%7Bamount%20%7D%20%5Ctimes%20A%20P%20R%7D%7B12%20%5Ctext%20%7B%20months%20%7D%7D%3D%5Cfrac%7B418%20%5Ctimes%200.14%7D%7B12%7D%3D4.877)
hence, amount terry was charged in interest for the billing cycle is $ 4.9 approximately.
Answer:
Number is 36
Step-by-step explanation:
Let the number be x
one half of the number is ![\frac{1}{2} x](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20x)
6 subtracted from one half is 12, That is,
![\frac{1}{2} x - 6 = 12\\\\\frac{1}{2}x = 12 +6 \\\\x = 18 \times 2 = 36](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20x%20-%206%20%3D%2012%5C%5C%5C%5C%5Cfrac%7B1%7D%7B2%7Dx%20%3D%2012%20%2B6%20%5C%5C%5C%5Cx%20%3D%2018%20%5Ctimes%202%20%3D%2036)