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inna [77]
2 years ago
10

Ahmad just put some money into a cd that pays 11.3% interest compounded semiannually according to the rule of 72 in approximatel

y how many years will he have four times the amount of money that he has now
Mathematics
1 answer:
lilavasa [31]2 years ago
5 0
The "rule of 72" says that the doubling time in years is approximately 72 divided by the interest rate in percent. To make the money grow by a factor of 4 requires that it double twice, so will take twice as long as the period to double once.
  2×72/11.3 ≈ 12.7 . . . . years

_____
The "rule of 72" is an approximation. The actual quadrupling time for this interest rate and compounding is about 12.6 years. (The actual product of doubling time and nominal interest rate is about 71.25.)
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If r=[x,y,z] and r0=[x0,y0,z0], describe the set of all points (x,y,z) such that Ir-r0I =1.
sdas [7]

Answer:

The points (x,y,z) that respond to Ir-r0I =1, are all that describes the form (x-x_0)^2+(y-y_0)^2+(z-z_0)^2=1 with:

-1+x₀<x<1+x₀

-1+y₀<y<1+y₀

-1+z₀<z<1+z₀

Step-by-step explanation:

All points required in this problem came from applying the definition of modulus of a vector:

Ir-r0I =1.

|(x,y,z)-(x_{0},y_{0},z_{0})|=|(x-x_{0},y-y_{0},z-z_{0})|=\sqrt{(x-x_{0})^2+(y-y_{0})^2+(z-z_{0})^2}=1\\(x-x_{0})^2+(y-y_{0})^2+(z-z_{0})^2=1^2=1

5 0
2 years ago
The number of bacteria in a culture is given by the function n(t) =950e^0.45t Where t is measured in hours A) what is the contin
tatiyna

Answer:

a) The continuous rate of growth of this bacterium population is 45%

b) Initial population of culture at t = 0 is 950 bacteria

c) number of bacterial culture contain at t = 5 is 9013 bacteria

Step-by-step explanation:

The number of bacteria in a culture is given by

n(t) = 950e^{0.45t}

a) rate of growth is

Bacteria growth model N(t) = noe^{rt}

Where r is the growth rate

hence r = 0.45

              = 45%

b) Initial population of culture at t = 0

n(0) = 950e^{0.45(0)}

       = 950e^{0}

       = 950 bacteria

c) number of bacterial culture contain at t = 5

n(5) =  950e^{0.45(5)}

      = 950e^{2.25}

      = 9013.35

      = 9013 bacteria

6 0
2 years ago
Stephanie is a very good soccer player. She can kick a soccer ball with an initial velocity of
marshall27 [118]
H(x)=−4.9x2+21.3x? we want to know what x is when the ball hits the ground well when the ball hits the ground the height between the ball and the ground is 0 so you want to solve for x when h(x)=0
5 0
2 years ago
Merei and Jona buy the $2000 Super PC special package desktop computer. What is the total amount they will pay? Question respons
omeli [17]

Answer:

$2000

Step-by-step explanation:

Given data

We are given that the price of the super PC is $2000

Since they are buying only one of the super PC they will have to pay

$2000

Hence option C is the correct answer

5 0
1 year ago
Pierre lifts a 60-kg crate onto a truck bed 1 m high in 3 s. Marie lifts twenty-four 2.5-kg boxes onto the same truck bed in a t
lys-0071 [83]

Answer:

Pierre operates at a greater power level than Marie.

Marie and Pierre do  the same amount of work

Step-by-step explanation:

Mass of crate=60kg

Height of truck bed=1 m

Time=3s

Pierre's work done=60\times 1\times 9.8=588J

Using formula Work done=mgh

Where m=mass of object

g=Acceleration due to gravity=9.8m/s^2

Power=\frac{w}{t}

Using the formula

Pierre's power=\frac{588}{3}=196watt

Mass of box=2.5Kg

Total number of boxes=24

Total mass of boxes=2.5\times 24=60kg

Time=2 min=2\times 60=120s

1 min=60 s

Marie;s work done=60\times 1\times 9.8=588J

Marie's power=\frac{588}{120}=4.9watt

Pierre operates at a greater power level than Marie.

Marie and Pierre do  the same amount of work

7 0
2 years ago
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