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Elina [12.6K]
3 years ago
8

How long will it take $5500 to grow to $7400 at an interest rate of 5% it the interest is compounded continuouslyRound the numbe

r of years to the
nearest hundredth
see score
Mathematics
1 answer:
Thepotemich [5.8K]3 years ago
8 0

Answer:

 5.93 years

Step-by-step explanation:

The continuous compounding formula tells you the amount after t years will be ...

  A = Pe^(rt) . . . . principal P compounded continuously at annual rate r for t years

  7400 = 5500e^(0.05t)

  ln(7400/5500) = 0.05t . . . . divide by 5500, take natural logs

  t = 20×ln(74/55) ≈ 5.93

It will take about 5.93 years for $5500 to grow to $7400.

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Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean mu equals 238 days a
Dmitry [639]

Answer:

Probability that a randomly selected pregnancy lasts less than 233 ​days is 0.3594.

Step-by-step explanation:

We are given that the lengths of the pregnancies of a certain animal are approximately normally distributed with mean mu equals 238 days and standard deviation sigma equals 14 days.

Let X = <u><em>lengths of the pregnancies of a certain animal</em></u>

So, X ~ Normal(\mu=238,\sigma^{2} =14^{2})

The z score probability distribution for normal distribution is given by;

                         Z  =  \frac{X-\mu}{\sigma}  ~ N(0,1)

where, \mu = population mean = 238 days

           \sigma = standard deviation = 14 days

Now, the probability that a randomly selected pregnancy lasts less than 233 ​days is given by = P(X < 233 days)

   P(X < 233 days) = P( \frac{X-\mu}{\sigma} < \frac{233-238}{14} ) = P(Z < -0.36) = 1 - P(Z \leq 0.36)

                                                              = 1 - 0.6406 = 0.3594

The above probability is calculated by looking at the value of x = 0.36 in the z table which has an area of 0.6406.

4 0
3 years ago
1 The expression - 1/2bh gives the area of a triangle where b is the base of the triangle and h is the height of the triangle. W
mihalych1998 [28]

Answer:

14

Step-by-step explanation:

1/2bh is saying that the base times the height, halved is the area of the triangle.

so

we will do the base times the height

7x4=28

then we will halve it

28/2=14

the answer is 14

8 0
3 years ago
If Dominik completes a project by himself, it will take him 8 hours. Working with Katarina, it will take them 5 hours.
Andreas93 [3]
I think the answer is D, I've been told it's D by many people.
7 0
3 years ago
Read 2 more answers
How do you represent a table with linear functions
patriot [66]

A table can be represented with a linear function equation as y = mx + b, where m is the slope and b is the y-intercept.

<h3>How to Represent a Table with Linear Function?</h3>

Assuming we have a table of values as shown in the image attached below, to write an equation of linear function for the table, do the following:

Pick two pairs of values, say, (1, 5) and (2, 25) and find the slope (m):

Slope (m) = change in y / change in x = (25 - 5)/(2 - 1)

Slope (m) = 20

Find the y-intercept (b) by substituting (x, y) = (1, 5) and m = 20 into y = mx + b:

5 = 20(1) + b

5 = 20 + b

5 - 20 = b

-15 = b

b = -15

Write the equation of the linear function by substituting m = 20 and b = -15 into y = mx + b:

y = 20x - 15

Learn more about the linear function on:

brainly.com/question/15602982

#SPJ1

8 0
2 years ago
If you flip a coin 4 times, what is the best prediction possible for the number of times it will land on tails?
allochka39001 [22]

Answer:

2

Step-by-step explanation:

Each time you flip a coin, there is a 50% change of it landing on tails.  So half the time you should get a tails.  

Half of 4 is 2, so you will likely get 2 tails.

7 0
3 years ago
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