The answer is $37,923
<span>y = 844.697x^2 + 3723.485x - 13,650
x - number of years
y - the annual profit
If x = 8, the annual profit y is:
y = </span>844.697 * 8^2 + 3723.485 * 8 - 13,650
y = 844.697 * 64 + 29,787.88 - 13,650
y = 54,060.608 + 16,137.88
y = 37,922.728 ≈ 37,923
The main formula is arc RT = r x measure <span>RST
so </span>∠RST=<span>minor arc RT / r
</span>minor arc RT = 23<span>π
r= 3 cm
</span>∠RST= 23<span>π/3</span>
Answer:
For this scenario, I used the elimination method. Organize the equations, so it's easier to subtract from each other. My x-variable will represent the number of hot dogs and my y-variable will represent the number of sodas.
3x+2y=213
x + y =87
We need to make sure one of the monomials are alike in each equation, so we can eliminate a variable. Distribute 3 to each number/variable in the second equation.
3x+2y=213
3(x+y=87) --> 3x+3y=261
Now we can eliminate x.
3x+2y=213
- 3x+3y=261
----------------------
-y=-48
Divide -1 to both sides to get y=48. So, you sold 48 cans of soda. Now, we can find the number of hot dogs by substituting 48 into the second equation to get x+48=87. Subtract 48 to both sides to result with x=39. So, you sold 39 hot dogs.
Answer:
use pemdas
Step-by-step explanation:
Answer:
she can fill 42 6-ounce glasses with the punch mixture
Step-by-step explanation:
1 cup = 8 ounces
15 cups = 120 ounces
132+120 = 252 ounces of punch mixture
252/6 = 42
42 glasses (each glass 6 ounces)