Answer:
Step-by-step explanation:
y=mx+b where m is the slope and b is the y intercept
m=(y2-y1)/(x2-x1), we have points (6,0) and (1,-1)
m=(-1-0)/(1-6)=1/5 so we have
y=x/5+b, using point (6,0) we can solve for b
0=6/5+b
b=-6/5
y=x/5-6/5 or more neatly
y=(x-6)/5
Answer:
<u><em>y = -(2/5)x+4</em></u>
Step-by-step explanation:
The 2 points are 0,4 and 5,2. If you want to find the equation, you need slope. slope = rise/run = -2/5.
y = mx + b. The b is the y intercept, so it's 4.
The equation is <u><em>y = -(2/5)x+4</em></u>
Answer:
$10.06
Step-by-step explanation:
Tax rate = 6% , convert into 0.06
10 × 0.06 = 0.6
10 + 0.6 = 10.06
Answer:
54.72 months
Step-by-step explanation:
Given:
Future value = R35,000
Annuity = R500
Interest = 11.32% per year
Interest per month, r =
= 0.943% = 0.00943
Let 'n' be the total time in months taken
Now,
Future value of annuity is calculated using the formula as:
![\textup{Future value}=\textup{Annuity}\times[\frac{(1+r)^n-1}{r}]](https://tex.z-dn.net/?f=%5Ctextup%7BFuture%20value%7D%3D%5Ctextup%7BAnnuity%7D%5Ctimes%5B%5Cfrac%7B%281%2Br%29%5En-1%7D%7Br%7D%5D)
on substituting the respective values, we get
![35000=500\times[\frac{(1+0.00943)^n-1}{0.00943}]](https://tex.z-dn.net/?f=35000%3D500%5Ctimes%5B%5Cfrac%7B%281%2B0.00943%29%5En-1%7D%7B0.00943%7D%5D)
or
![70=[\frac{(1.00943)^n-1}{0.00943}]](https://tex.z-dn.net/?f=70%3D%5B%5Cfrac%7B%281.00943%29%5En-1%7D%7B0.00943%7D%5D)
or
1.6601 = 1.00943ⁿ
taking log both sides, we get
log(1.6601) = n × log(1.00943)
or
0.22= n × 0.00402
or
n = 54.72 months