Answer: Her account would earn $17.5
Step-by-step explanation: The earning on a given amount with simple interest can be computed as follows;
Interest = PRT/100
Where P is the principal (initial amount), R is the rate of interest and T is the number of years. The formula now becomes,
Interest = (50 x 3.5 x 10)/100
Interest = 1750/100
Interest = 17.5
Therefore, in 10 years her account would have earned $17.5
Answer:
512
Step-by-step explanation:
Suppose we ask how many subsets of {1,2,3,4,5} add up to a number ≥8. The crucial idea is that we partition the set into two parts; these two parts are called complements of each other. Obviously, the sum of the two parts must add up to 15. Exactly one of those parts is therefore ≥8. There must be at least one such part, because of the pigeonhole principle (specifically, two 7's are sufficient only to add up to 14). And if one part has sum ≥8, the other part—its complement—must have sum ≤15−8=7
.
For instance, if I divide the set into parts {1,2,4}
and {3,5}, the first part adds up to 7, and its complement adds up to 8
.
Once one makes that observation, the rest of the proof is straightforward. There are 25=32
different subsets of this set (including itself and the empty set). For each one, either its sum, or its complement's sum (but not both), must be ≥8. Since exactly half of the subsets have sum ≥8, the number of such subsets is 32/2, or 16.
The volume of the given rectangular prism is option C. 
.
Step-by-step explanation:
Step 1:
The dimensions of the given rectangular prism are 4 units × 3 units × 2 units.
So we take the length equals 4 units, the width is equal to 3 units and the height is 2 units.
Step 2:
The volume of this rectangular prism is calculated by multiplying the given prism's length, its width, and its height.
The Volume of the given rectangular prism = 
So the given right rectangular prism's volume is 
which is option C.
Answer:
x=-5, y=-2. (-5, -2).
Step-by-step explanation:
x-3y=1
-x+6y=-7
----------------
3y=-6
y=-6/3
y=-2
x-3(-2)=1
x+6=1
x=1-6
x=-5
Answer: It would be d,15m
