A stone carver carved 37 statues in June. He will receive a bonus if he is able to carve 35% more carvings in
1 answer:
Answer:
50
Step-by-step explanation:
This is an example of a percentage increase.
To work out the percentage increase you would first have to convert the percentage into a decimal. You can do this by dividing the percentage of 35% by 100, this gives you 0.35. This is because percentages are out of 100.
The next step is to add 0.35 to 1, this gives you 1.35. This is because you are trying to work out the percentage increase.
Now to work out the minimum number of carving you would have to multiply the amount of 37 by 1.35, this gives you 49.95. This is because we are working out the percentage increase.
The final step is to round it, this gives you 50. This is because you need to make at least 49.95 and so you would round it up .
1) Divide 35 by 100.
2) Add 0.35 to 1.
3) Multiply 37 by 1.35.
4) Round.
50
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Answer:
64
Step-by-step explanation:
<em>[using calculus] </em>When the function h(t) reaches its maximum value, its first derivative will be equal to zero (the first derivative represents velocity of the ball, which is instantaneously zero). We have , which equals zero when
. The ball therefore reaches its maximum height when t = 1.5. To find the maximum height, we need to find h(1.5), which is 64 feet.
<em>[without calculus] </em>This is a quadratic function, so its maximum value will occur at its vertex. The formula for the x-coordinate of the vertex is -b/2a, so the maximum value occurs when t = -48/(2*16), which is 1.5. The maximum height is h(1.5), which is 64 feet.
