Answer:
Final answer is $12696.
Step-by-step explanation:
Given that initial amount P = $28000
Interest rate r = 5.8% = 0.058
Time = 1 year
Then future value is given by :
Similarly calculate future value for 2nd case:
Given that initial amount P = $16000
Interest rate r = 5.8% = 0.058
Time = 1 year
Then future value is given by :
then difference = 29624 - 16928 = 12696
Hence final answer is $12696.
Answer:
The diameter of the wheel is 32 centimeters
Step-by-step explanation:
we know that
The <u><em>intersecting chords theorem</em></u> states that the products of the lengths of the line segments on each chord are equal.
so
In this problem
substitute the given values
solve for x
Remember that
LK goes through the center of the wheel
That means----> LK is a diameter
therefore
The diameter of the wheel is 32 centimeters
Answer:
Height is increasing at the rate of 14cm/s.
Step-by-step explanation:
Volume of cylinder = π
dR/dT = -2cms (-ve sign indicated decreasing rate)
we need to find
dH/dT = ?
as the volume remain constant, that means the cylinder is decreasing in area but its increasing in height.
dV/dT=0 (volume remain constant)
dV/dT= 2πR*dR/dT *H + π*dH/dT = 0
2π*10*(-2)*35 + π*10*10 * dH/dT = 0
-1400π + 100πdH/dT = 0
dH/dT= 1400π/100π
dH/dT = 14 Cm/s
This means the height is increasing at the rate of 14cm/s.