The formula for calculating compound interest with yearly contributions is:
Balance = X*(1 + Y)^n + Z((1 + Y)^(n + 1) - (1 + Y)/Y)
where the balance is the money earned after n years invested
Y is the interest rate as a fraction
Z is the yearly contribution
X is the starting investment
Therefore the calculation for this example is:
Balance = 1200*(1 + 0.05)^48 + 1200((1.05)^49 - (1.05)/05)
= $249,393.5
If i'm correct. it should be $10,022.40
B=22.62
16/sin30=b/sin45
16sin45/sin30 =22.62
Answer:
5) a
6) a
7) b
8) d
9) a
10) b
11) c
12) a
Step-by-step explanation:
When it asks for range it is asking for the y values so when you plug in numbers such as 0,1,2 into the equation the y values you get are {0,90,180..}
Overall slope can be found by taking the x and y values of the two given points.
((y value of the second point)-(y value of the first point))/((x value of the second point)-(x value of the first point))
Using (1,2) and (-2, 5) you can do this by plugin in the numbers (5-2)/(-2-1)
So the slope will be 3/-3 = -1
Once you find the slope you can use this to find the equation of a line by pluging in values into y=mx + b
m = slope
y = use this from the points given
x = use this from the points given
