Answer:
.
Step-by-step explanation:
We are given that,
The present value for the home is $120,000 and the rate of interest is 5.5% i.e. 0.055.
As we know that the function for the home is given by,
where P = present value, r = rate of interest, x = number of years.
So, according to the question, we get that,
i.e. .
Hence, we see that the function that represents the value of the home is .
9514 1404 393
Answer:
- absolute error: 0.4 kg
- relative error: 6.1%
Step-by-step explanation:
The absolute error is the difference between the estimate and the actual weight:
7.0 kg -6.6 kg = 0.4 kg . . . . absolute error
__
The relative error is the ratio of the absolute error to the actual weight:
(0.4 kg)/(6.6 kg) × 100% = 6.060606...% ≈ 6.1% . . . . relative error
Answer:
From these examples, we can conclude, we will get a whole number when we divide if the numerator of the fraction is a factor of the whole number
Step-by-step explanation:
Lets look at a couple of examples
Example 1
4 ÷ 1/3
Copy dot flip
4 * 3/1 = 12
Whole number
Example 2
2 ÷11/12
Copy dot flip
2 * 12/11
24/11
11 goes into 24 2 times
11*2 = 22
24-22 =2
11 goes into 24 2 times with 2 left over, The left over goes over the denominator.
2 2/11
2 2/11 is a mixed number not a whole number
Example 3
8 ÷2/11
Copy dot flip
8 * 11/2
88/2
44
From these examples, we can conclude, we will get a whole number when we divide if the numerator of the fraction is a factor of the whole number
13. The words are telling you
.. HT +TS = HM +MS +2
.. (2x +1) +(x) = (x +1) +(x +2) +2
.. 3x +1 = 2x +5 . . . . . . . . . . . . . . collect terms
.. x = 4 . . . . . . . . . . . . . . . . . . . . . add -2x-1
HT +TS = 3x +1 = 3*4 +1 = 13 miles
The route via the theater is 13 miles.
Via the mall, the route is 11 miles.
14. Solve this the way you would any 2-step linear equation. Subtract terms that don't have h, and divide by the coefficient of h.
S = 2πr^2 +2πrh
S -2πr^2 = 2πrh
(S -2πr^2)/(2πr) = h
If you like, you can rearrange this to
.. h = (S/(2πr)) -r
<span>(-h^4)^5 is -h^20 (-h^4)^5 = -h^4×5 = -h^20</span>
