To solve this problem, we must remember that the distributive property allows us to get rid of parentheses by multiplying the coefficient by each of the terms in parentheses. In this case, our coefficient is 3, because that is the number of dollars Ann and Joe's father will donate per lap. This means that we must multiply this by the total number of laps that they swam, which can be found by adding together their individual number of laps, 21 + 15.
This makes our expression: 3(21 + 15)
Using the distributive property, we can multiply both numbers in the parentheses by 3 to simplify our expression, as shown below:
3(21) + 3(15)
Now, we must multiply these numbers together to simplify.
63 + 45
When we add these two numbers together, we get 108.
Therefore, your final answer is that their father donated $108.
Hope this helps!
Answer:
range of f(x) = [-4, -2) ∪ [2, 8)
a+b+c+d = -4
Step-by-step explanation:
The graph is attached. The range is the vertical extent of the function. It is defined at f(0) = -4 and f(2) = 2.
The limits f(2-) and f(4-) are -2 and 8, respectively, so the graph has open circles there. These are the ends of the two half-open intervals that make up the range of the function.
The portion of the graph in the domain [4, 7) is included in the range [2, 8), so no special treatment is needed for that piece of the function.
Answer:
I'm sorry cheif I can't help, but just to me funny burn it
Step-by-step explanation:
get the devil's test
grab some gasoline
pour on devils work
lite fire
it shall be no more torture
9514 1404 393
Answer:
- 4% fund: $39,000
- 52% fund: $1000
Step-by-step explanation:
Let x represent the amount invested at 52%. Then (40000-x) is the amount invested at 4%. The total annual interest is ...
0.52x +0.04(40000-x) = 2080
0.48x = 480 . . . . . . . . . subtract 1600, simplify
x = 1000 . . . . . . . . . divide by 0.48
Then the amounts invested in each fund are ...
4% fund: $39,000
52% fund: $1000