Answer:
OPTION 4
Step-by-step explanation:
Let the three consecutive numbers be n, (n + 1) and (n + 2).
Note that the largest number of the three is (n + 2) and the smallest is n.
So, according to the given data, the sum of all the three integers is equal to 1 more than twice more than the largest number.
Writing it mathematically, we have:
n + (n + 1) + (n + 2) = 12 + 2(n + 2)
This is OPTION (4) and is the answer,
Answer:
$2880
Step-by-step explanation:
I = Prt
= $3600·8%·10 = 0.80·$3600 = $2880
The simple interest on $3600 over a 10-year period is $2880.
Answer:
5.264 * 10^4
Step-by-step explanation:
We put a decimal point to the right of the number, so
52640.
Then we move it to the left until we get a number that is between 1 and 10.
5.2640
This was four hops to the left.
We can remove the trailing 0, and write
5.264 * 10^4
10^4 because of the four hops
Answer:
- 8 small houses; 0 large houses
- 80 small houses; 0 large houses
Step-by-step explanation:
a) The maximum number of houses Sam can build in 24 hours is 8, so the constraint is in construction, not decoration. For each small house Sam constructs, he makes $10/3 = $3.33 per hour of work. For each large house Sam constructs, he makes $15/5 = $3.00 per hour. The most money is to be made by building only small houses.
Sam should make 8 small houses and 0 large houses in 24 hours.
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b) If Sam works 8-hour days, then he can complete at most 80 small houses. The constraint remains in construction, so the answer is the same: build only small houses.
_____
If Sam works more than 16 2/3 hours per day, he can build 100 large houses or more, so the constraint moves to decoration. The decorator makes more money by decorating large houses, so all the effort should go to construction of large houses.
If Sam works between 10 and 16 2/3 hours per day, the best revenue will come from some mix. The problem statement is unclear as to how many hours Sam works in 30 days.
