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3 years ago

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An investment in a savings account grows to three times the initial value after t years. If the rate of interest is 5%, compound

ed continuously, t = years.

1 answer:

RideAnS [48]3 years ago

4 0

3p=pe^0.05t
3=e^0.05t
T=(log(3)÷log(e))/0.05
T==21.97 years

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xeze [42]

Answer: 1. 0.0256

2. 0.4096

Step-by-step explanation:

Binomial probability formula , to find the probability of getting x successes:

$P(x)=^nC_xp^x(1-p)^{n-x}$ , where n= Total number of trials

p= Probability of getting success in each trial.

Let x be the number of customers will make purchase.

As per given , we have

p= 0.20

n= 4

1. The probability that 3 of the next 4 customers will make a purchase will be:-

$P(x=3)=^4C_3(0.20)^3(1-0.20)^{4-3}$

$P(x=3)=(4)(0.20)^3(0.80)^{1}\ \ [\because\ ^nC_{n-1}=n]$

$P(x=3)=(4)(0.008)(0.80)=0.0256$

Hence, the probability that 3 of the next 4 customers will make a purchase = 0.0256

2. The probability that none of the next 4 customers will make a purchase will be :

$P(x=0)=^4C_0(0.20)^0(1-0.20)^{4-0}$

$P(x=0)=(1)(0.80)^{4}\ \ [\because\ ^nC_{0}=1]$

$P(x=0)=0.4096$

Hence, the probability that none of the next 4 customers will make a purchase= 0.4096

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3 years ago

What is the area PLEASE HELP!! :/

UkoKoshka [18]

Answer:

15 square meters

Step-by-step explanation:

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2 years ago

What is the reason for each step in the solution of the equation?

user100 [1]

Answer in the attachment.

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3 years ago

The length of a rectangle is 3 times the width. If the length is decreased by 4 meters and the width is increased by 1 meter, th

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Good morning☕️

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Answer:

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Step-by-step explanation:

p=2[(L-4) + (w+1)]

⇔p=2[(3w-4) + (w+1)]

⇔p=2[4w-3]

⇔p=8w-6

⇔66=8w-6

⇔8w=72

⇔w=9

Then L=3w=27

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3 years ago

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grin007 [14]

Answer:

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Step-by-step explanation:

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3 years ago