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Simora [160]
3 years ago
9

You invest $500 in an account that pays 6% interest compounded continuously. How

Mathematics
1 answer:
ratelena [41]3 years ago
3 0
<h3>Answer:  716.66 dollars</h3>

=====================================================

Explanation:

We'll apply this formula

A = P*e^(r*t)

where,

  • A = account balance after t years
  • P = initial deposit, aka principal
  • e = special constant roughly equal to 2.718 but it goes on forever without a pattern; it's better to let the calculator handle this value rather than type the decimal digits in.
  • r = annual interest rate in decimal form
  • t = number of years

In this case, we have

  • P = 500
  • r = 0.06
  • t = 6

Again we won't type "2.718..." for 'e', and we'll just type it into the calculator as shown below. That way the calculator can handle the digits instead.

So...

A = P*e^(r*t)

A = 500*e^(0.06*6)

A = 716.66470728026

A = 716.66 dollars is the final answer

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Mafalda has a save percentage of 0.7380.7380, point, 738 so far this hockey season. Last season, her save percentage was 0.5850.
Snowcat [4.5K]

Answer:

0.153

Step-by-step explanation:

We have been given that Mafalda has a save percentage of 0.738 so far this hockey season. Last season, her save percentage was 0.585.

To find improvement in Mafalda's save percentage we will subtract last season's save percentage from this season's save percentage.

0.738-0.585=0.153

Therefore, Mafalda's save percentage improved by 0.153.

6 0
3 years ago
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Slav-nsk [51]
The first answer is 25x + 45 = c
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6 0
2 years ago
TV studio has brought in 9 boy kittens and 6 girl kittens for a cat food commercial. The director is going to choose 9 of these
Amanda [17]

Answer:

probability = 0.2517

Step-by-step explanation:

given data

boy kittens = 9

girl kittens = 6

choose kittens at random = 9

solution

total kitten are = 9 + 6 = 15

first we get here total no of probability that is

n(s) = 15 C 9

n(s) = \frac{15!}{9!(15-9)!}  

n(s) =5005

and

total way to chose 5 boy kittens is = 9 C 3

n(3) = \frac{9!}{3!(9-3)!}  

n(3) =  84

and

total way to chose 4 girl kittens is = 6 C 4

n(4) = \frac{6!}{4!(6-4)!}  

n(4) = 15

so

total way to chose 5 boy kittens and 4 girl kittens is

total way = 84 ×15  = 1260

so probability that the director chooses 5 boy kittens and 4 girl kittens is

probability = \frac{1260}{5005}  

probability = 0.2517

6 0
3 years ago
The mean cost for a pint of frozen yogurt is $1.50, with a standard deviation of $0.10.
djverab [1.8K]

Answer:

The correct answer is:

0.01$ (c)

Step-by-step explanation:

Standard deviation is a measure of how spread out numbers are from the mean value. The formula for standard deviation is given by:

s = \sqrt{\frac{\sum(x - \bar x)}{n} } \\where:\\x = sample\ \\\bar x\ = mean\\n\ = number\ of\ samples\

Variance is a measure of the squared differences from the mean.

Variance is simply the square of the standard deviation. It is mathematically shown as:

s^2 = \frac{\sum(x - \bar x)}{n} }

Now in our example,

Stabnard deviation = $0.10

Variance = (standard deviation)²

Variance = (0.10)²

Variance = $0.01

6 0
3 years ago
The complement of 4 heads in the toss of 4 coins is
Fofino [41]

Answer:

b i believe the answer is

4 0
3 years ago
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