Answer:
It will double in the year 2063
Step-by-step explanation:
Let the amount deposited be $x, when it doubles, the amount becomes $2x
we can use the compound interest formula to know when this will happen
The compound interest formula is as follows;
A = P(1+r/n)^nt
In this question,
A is the amount which is 2 times the principal and this is $2x
P is called the principal and it is the amount deposited which is $x
r is the interest rate which is 3.2% = 3.2/100 = 0.032
n is the number of times compounding takes place per year which is quarterly which equals to 4
t is the number of years which we want to calculate.
Substituting all these into the equation, we have;
2x = x(1+0.032/4)^4t
divide through by x
2 = (1+ 0.008)^4t
2 = (1.008)^4t
we use logarithm here
Take log of both sides
log 2 = log (1.008)^2t
log 2 = 2t log 1.008
2t = log 2/log 1.008
2t = 86.98
t = 86.98/2
t =43.49 which is 43 years approximately
Thus the year the money will double will be 2020 + 43 years = 2063
Answer:
0.4
〜
Darling, all you need to do is, factor the numerator and denominator and cancel the common factors, and you'll get the answer 0.4.
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.
Answer:
√185 or 13.60 units to the nearest hundredth.
Step-by-step explanation:
For the points (x1,y1) and (x2,y2) the length between the points is given by:
L = √ [ (x2-x1)^2 + (y2-y1)^]
So here we have:
Length of AB √ [ (7- - 4)^2 + (-2 - 6)^2]
= √ (121 + 64)
= √185.
