Answer:
<em>1500(1.02)^x + 600x</em> is how much he has in savings at the end of x years where it be in the bank or elsewhere
Step-by-step explanation:
x is in years
Let's just think about the investment of 1500 in an account earning 2% per year.
Before the years even start, you are at 1500 ( present value).
The next year (year 1), it would be 1500*.02+1500=(1500)(1.02).
The next year (year 2), it would be 1500(1.02)(.02)+1500(1.02)=1500(1.02)(1.02).
We keep multiplying factors of (1.02) each time.
So for year x, you would have saved 1500(1.02)^x.
Now we are saving 50 cash per month. Per year this would be 12(50) since there are 12 months in a year. 12(50)=600.
So the first year you would have 600.
The second year you would have 600(2) or 1200.
The third year you would have 600(3) or 1800.
Let's put this together:
1500(1.02)^x + 600x
If it's like the in and out things, I think i can help. So a number goes in and and comes out. What is the rule? What happened from the in to the out?
V = pi (6) squared (8)
Explanation: The formula for finding the volume of a cylinder is V = pi (radius) squared (height) so you just fill in the numbers and boom
Answer:
37° and 53° respectively.
Step-by-step explanation:
We need to know that the angles are complementtary if ∠RSU + ∠UST = 90°. Then,
5x+7 + 9x-1 = 90
5x + 9x +7 -1 = 90
14x +6 = 90
14x = 90 - 6
14x = 84
x = 84/14
x = 6.
Then, the angle ∠RSU has measure 5(6)+ 7 = 30+7 = 37, and the angle ∠UST has measure 9(6) - 1 = 54-1 = 53.
To determine a percentage difference, simply divide the difference of the two numbers by the original. For instance, 82-65.60=16.4 16.4 is 20% of 82, so the discount is 20% (16.4/82)
