Answer:
42.25 feet
Step-by-step explanation:
The height function is a parabola. The maximum value of a negative parabola is at the vertex, which can be found with:
x = -b/2a
where a and b are the coefficients in y = ax² + bx + c.
Here, we have y = -16t² + 52t. So a = -16 and b = 52. The vertex is at:
t = -52 / (2×-16)
t = 13/8
Evaluating the function:
h(13/8) = -16(13/8)² + 52(13/8)
h(13/8) = -169/4 + 169/2
h(13/8) = 169/4
h(13/8) = 42.25
ANSWER
$1,413.81
EXPLANATION
The compound interest formula is given by:
Where P=900 is the balance in the account, t=10 is the number of years and r=0.0462 is the rate.
We substitute the values in to the formula to get:
This simplifies to:
Therefore $1413.81 will be in the account after 10 years.
Answer:
a) $175 b) It will be $126
Step-by-step explanation:
Cost price of 3 games= $140
Let the original price of games= $ x
Discount is given= 30%
According to question
x = $140
x = $140
x ×0.8= $140
x= $
x= $175
Hence, the original price of games $ 140
(b) If Sam had given a discount of 20%
Again a discount = 10%
The price of games=$ 140
Now, the selling price will be= 175×
Now, the selling price will be= $ 126
Hence, the price will be different.
That whole number is 277,349.
(-35-42-63)/7= (-140)/7=-20