First take a time derivative of a function describing motion,
.
Finding the maxima of the function is obtained by determining where the critical points are. You can find the critical points by equating the derivative with 0 and solving for t,

.
So at 2 seconds the ball peaks in height.
To find out the height feed 2 to the function h.
.
So at 2 seconds the ball reaches maximum height of 5 meters.
Hope this helps :)
Answer:
see attachment
Step-by-step explanation:
Answer:
Se necesita depositar un capital inicial de $ 5096.83 pesos para lograr $ 500000 pesos a un interés compuesto de 14 % anual luego de 35 años.
Step-by-step explanation:
La cantidad ahorrada bajo interés compuesto está definida por la siguiente fórmula:
(1)
Donde:
- Capital inicial, medido en pesos.
- Capital actual, medido en pesos.
- Tasa de interés, sin unidad.
- Anualidad, medida en años.
Asumiendo que la tasa de interés compuesto es anual y si
,
y
, entonces el capital inicial es:



Se necesita depositar un capital inicial de $ 5096.83 pesos para lograr $ 500000 pesos a un interés compuesto de 14 % anual luego de 35 años.
1-a
2-d
3-a
4-b
5-d
6-b
7-a
8-c
9- i don't know the answer, just guess....
10 - d
Answer: 80 pieces of fruit
Explanation:
Let’s find out the amount of trees Mr Champion has.
He has 14 in total. 1 apple tree and 1 plum tree, and the rest are divided evenly among apricot, pear and peach trees. This means:
1 apple tree + 1 plum tree = 2 trees
14 - 2 = 12 trees
12 / 3 (varieties of trees) = 4
In conclusion, he has
1 apple tree, 1 plum tree, 4 apricot, pear and peach trees.
Now let’s go to the section where he picks the fruit.
6 apricots from 4 trees
10 peaches from 4 trees
3 pears from 4 trees
4 apples from 1 tree
This means:
(6 x 4) + (10 x 4) + (3 x 4) + (4 x 1) = total pieces of fruit picked
24 + 40 + 12 + 4 = total pieces of fruit picked
Now, you add up those four numbers, and you have your answer, 80.
Hope this helps!