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anastassius [24]
3 years ago
14

Find the interest. Round to the nearest cent. $1850 at 8% for 14 months

Mathematics
1 answer:
igor_vitrenko [27]3 years ago
3 0

Answer:

I=\$172.67

Step-by-step explanation:

we know that

The simple interest formula is equal to

I=P(rt)

where

I is the Interest Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

in this problem we have

t=14/12\ years\\ P=\$1,850\\r=0.08

substitute in the formula above

I=1,850(0.08(14/12))

I=\$172.67

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Find the area of a sector with a central angle of 120° and a diameter of 7.3 cm. Round to the nearest tenth.
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Answer:14cm^{2}

Step-by-step explanation:

diameter=7.3cm

radius=\frac{diameter}{2}

          =\frac{7.3}{2}

          =3.65cm

angle =120°

area=\frac{angle (tita)}{360} × \frac{\pi r^{2} }{1}

=\frac{120}{360} × \frac{22}{7} ×3.65^{2}

=13.95cm^{2}

≅14cm^{2}

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What is the density of the oak board, it's 5.5 inches wide, 1.5 inches thick , 3 feet long and weighs 8.05 lbs? Please show work
laiz [17]

Answer:

37 - 56 lb / ft3

0.6 - 0.9 103 kg / m3

Step-by-step explanation:

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8 0
3 years ago
The taxi and takeoff time for commercial jets is a random variable x with a mean of 8.4 minutes and a standard deviation of 3.5
Lorico [155]

Answer:

0.6672 is the required probability.            

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 8.4 minutes

Standard Deviation, σ = 3.5 minutes

We are given that the distribution of distribution of taxi and takeoff times is a bell shaped distribution that is a normal distribution.

According to central limit theorem the sum measurement of n is normal with mean \mu and standard deviation \sigma\sqrt{n}

Sample size, n = 37

Standard Deviation =

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P(taxi and takeoff time will be less than 320 minutes)

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Calculation the value from standard normal z table, we have,  

P(\sum x < 320) =0.6672 = 66.72\%

0.6672 is the probability  that for 37 jets on a given runway, total taxi and takeoff time will be less than 320 minutes.

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