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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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An airliner carries 150 passengers and has doors with a height of 78 in. Heights of men are normally distributed with a mean of
iogann1982 [59]

Answer:

Step-by-step explanation:

x, height of men is N(69, 2.8)

Sample size n =150

Hence sample std dev = \frac{2.8}{\sqrt{150} } =0.229

Hence Z score = \frac{x-69}{0.229}

A) Prob that a random man from 150  can fit without bending

= P(X<78) = P(Z<3.214)=1.0000

B) n =75

Sample std dev = \frac{2.8}{\sqrt{75} } =0.3233

P(X bar <72) = P(Z<9.28) = 1.00

C) Prob of B is more relevent because average male passengers  would be more relevant than a single person

(D) The probability from part (b) is more relevant because it shows the proportion of flights where the mean height of the male passengers will be less than the door height.

3 0
2 years ago
You pay $8 to play the following game of chance. There is a bag containing 15 balls, 7 are red, 6 are green and the rest are yel
notka56 [123]

Answer:

Green ball. $11

Step-by-step explanation:

Let's see.

15 balls. 7 are red. 6 are green. rest are yellow. That means there are 2 yellow balls.

Since there are more greens than yellows, you have a better chance of getting a green. That means you have a higher chance of getting $11

3 0
2 years ago
Read 2 more answers
please solve this problem : 9 boys take part in a relay event each boy runs 3/5 of a mile how far do the boys run please help
Artist 52 [7]
All you need to do is multiply the amount of boys by the distance each boy runs.

9x3/5=5.4 miles

The boys run a combined distance of 5.4 miles.
7 0
2 years ago
Charlie is watching hot air balloons. Balloon A has risen at a 60° angle. Balloon B has risen at an 82° angle. If the distance f
babymother [125]

Answer:

(B)1005 feet

Step-by-step explanation:

In the attached diagram

\angle y =82^\circ\\\angle x =60^\circ

|AG|=1400 feet

Distance from point C to point G=|CG|

Using Trigonometry in Triangle ACG

\tan 60^\circ=\dfrac{1400}{CG}\\ CG=\dfrac{1400}{\tan 60^\circ}\\\approx 808$ feet

Using Trigonometry in Triangle BCG'

\tan 82^\circ=\dfrac{1400}{CG'}\\ CG'=\dfrac{1400}{\tan 82^\circ}\\\approx 197$ feet

Therefore, the distance from balloon B from balloon A

=CG+CG'

=808+197

=1005 feet

4 0
2 years ago
The tires of a tractor are 4.5 feet tall. How many 360-degree rotations do the tires make when the tractor travels 170 feet? Rou
slavikrds [6]
Hello! 

Ok so we have a tire 4.5ft in diameter. We want to know how many revolutions it makes in 170ft

So we have s=r*theta where s is arc length or distance traveled and r is the radius and theta is the angle in radians that it travels through, and this is what we want to know. We are given the rest so we have;

170ft=4.5ft/2 * theta so solving for theta we get 

theta=340ft/4.5ft = 75.56 radians so now we just convert radians to revolutions and we know pi=3.14rad and 2pi is one rev and to convert to degrees its radians*( 360/2pi)=deg and this reduces to 180/pi so we have;


75.56radians * 180/pi = 4329 degrees travelled through so to get revolutions we now just divide this by 360deg for total revs. So we have;

4329deg/360deg=12 revolutions

Hope this helps! Any questions please ask! Thank you so much!
5 0
2 years ago
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