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AveGali [126]
3 years ago
6

The compound amount with continuous compounding is given by A= Pe^rt where P is the principal, r the rate and t the time in year

s. If the rate is 8% find how long it takes for the money to double that is for A= 2P (ln2=0.69315)
Mathematics
1 answer:
natta225 [31]3 years ago
6 0
2p=pe^0.08t
2=e^0.08t
Log(2)=0.08t*log(e)
T=(log(2)÷log(e))/0.08==8.66years
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3 years ago
In a certain liberal arts college with about 10,000 students, 53% are males. If two students from this college are selected at r
tamaranim1 [39]

Answer:

There is a 50.18% probability that they are of the same gender.

Step-by-step explanation:

We have these following percentages:

53% of the students are males.

47% of the students are females.

If two students from this college are selected at random, what is the probability that they are of the same gender?

The probability that each is male is 53%. So the probability of both being males is

P_{MM} = 0.53*0.53 = 0.2809

The probability that each is female is 47%. So the probability of both being females is

P_{FF} = 0.47*0.47 = 0.2209

The probabilty that both are the same gender is:

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There is a 50.18% probability that they are of the same gender.

7 0
4 years ago
Brian has reduced his cholesterol level by 6% after his last check up. If his original level was 280, what is his approximate ch
ICE Princess25 [194]

Answer:

263.2

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280×0.06= 16.8

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7 0
4 years ago
Write 1,000 as a power of 10.
8_murik_8 [283]

Answer:

10^{3}

Step-by-step explanation:

Any positive integer power of 10 is the number of times 10 multiply by itself. In case power remain zero then the result will be just one.

10^{0} = 1\\ \\10^{1} = 10\\ \\10^{2} = 10\times 10 = 100\\ \\10^{3} = 10 \times 10\times 10 = 1000

As given, we need to write 1000 as a power of 10

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6 0
4 years ago
Find the area of the triangle.
NARA [144]

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16 Unit

Step-by-step explanation:

With P(-2,1) , Q(6,1) , R(4,-3) , S(4,1) ,  the triangle and its altitude look like the one attached in figure.

The length of base PQ is the difference in the x-coordinates of P and Q,

6-(-2)=6+2=8 , because the y-coordinates are both the same as 1.

The height (the length of altitude RS is the difference in the y-coordinates of R and S,

1-(-3)=1+3=4 , because the y-coordinates are both the same as 4 .

The area is

\frac{base*height}{2}=\frac{8*4}{2}=16.


6 0
4 years ago
Read 2 more answers
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