The ball will hit the ground at 2 seconds.
Step-by-step explanation:
Given that,
The path of the ball = h(x)=−2x2+1x+6
Here,
x is the time while h is the height of ball.
When the ball will hit the ground, the height will become zero. Therefore,
h(x)=−2x2+1x+6
0 =−2x2+1x+6
or
2x2 -1x - 6 = 0
This is a quadratic equation, hence by applying quadratic equation formula:
here,
a = 2
b = -1
c = -6
Putting these values in formula, we get
x = 2, -3/2
As the time cannot be negative. Therefore, the ball will hit the ground at 2 seconds.
We know that
<span>on an analog clock
60 minutes is equal to a circumference of 360</span>°
so
360/60-----> 6°
that means
1 minute is equal to --------> 6°
16 minutes----------> X
x=16*6-----> 96°
the length of a circumference=2*pi*r
for r=8 in
the length of a circumference=2*pi*8-----> 50.24 in
if 360° (full circle) has a length of----------------> 50.24 in
96°---------------------------> x
x=96*50.24/360------> x=13.40 in
the answer is
13.40 in
Answer: the value of the car after 7 years is $11220
Step-by-step explanation:
The formula for determining depreciation is expressed as
A = P(1 - r)^t
Where
A represents the final value of the car after t years.
P represents the present value of the car.
r represents the rate of depreciation
t represents the number of years.
From the information given
P = 35000
r = 15% = 15/100 = 0.15
t = 7 years
Therefore,
A = 35000(1 - 0.15)^7
A = 35000(0.85)^7
A = 11220.198
Rounding up yo the nearest dollar, it becomes $11220
