Answer:
8%
Step-by-step explanation:
So we have two investments. The first is 500 with an interest rate of x while 2000 has an interest rate of x+.005 (.005 is .5 %),
annual interest means it gets interest once a year, it then says in total, after one year, so one time getting interest he gets 210 total, so in total the money is 500 + 2000 + 210. So let's set up an equation with all this
500x + 2000(x+.005) = 2710
500x + 2000x + 10 = 2710
2500x = 2700
x = 1.08
So that means we multiply 500 by 1.08, which represents 8% and 2000 by 1.085. But the question is just asking for the interest rate for 500 so the answer is 8%
If you don't understand how I did anything let me know.
Answer:
- 9th, 10th and 11th terms; 32, 37 and 42
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Given AP:
We observe that:
- The first term is a = - 8,
- The common difference is d = -3 - (-8) = 2 - (-3) = 5.
Let the three terms be aₙ, aₙ₊₁, aₙ₊₂.
Use nth term formula:
- aₙ = a + (n - 1)d = - 8 + (n - 1)*5 = - 8 + 5n - 5 = 5n - 13
The following two terms are:
- aₙ₊₁ = 5n - 13 + 5 = 5n - 8
- aₙ₊₂ = 5n - 8 + 5 = 5n - 3
Their sum is 111, set an equation and solve for n:
- 5n - 13 + 5n - 8 + 5n - 3 = 111
- 15n - 24 = 111
- 15n = 135
- n = 135/15
- n = 9
The three terms are 9th, 10th and 11th terms and they are:
- 5*9 - 13 = 45 - 13 = 32
- 32 + 5 = 37
- 37 + 5 = 42
Answer:
Step-by-step explanation:
A=2(wl+hl+hw)=2·(9·4+3·4+3·9)=150
Answer:
4.) x = -1; 1 solution
5.) x = 0; 1 solution
6.) infinite solution
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15 is 60 percent of 25. 15x100/60 and it should be 25.