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VARVARA [1.3K]
3 years ago
10

Suppose you invest $5000 at an annual interest rate of 6.3% compounded continuously. How much will you have in the account after

3 years? Round the solution to the nearest dollar.
Mathematics
2 answers:
lisov135 [29]3 years ago
7 0

For this specific problem, you will have <span>$6040.20 </span>in the account after 3 years. I am hoping that this answer has satisfied your query about and it will be able to help you, and if you’d like, feel free to ask another question.

Tanya [424]3 years ago
6 0
After 1 year
5000 * (106.3 / 100)
$ 5315

After 2 years
<span>5315 * (106.3 / 100)
</span>$ 5649.845

<span>After 2 years
</span>5649.845 * (<span>106.3 / 100)
</span>$ 6005.785

So the amount you have in 3 years
$ 6006
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Which algebraic expression is equivalent to the expression below? 10(5x - 3/5) + 50
Kamila [148]
Hello!

You can distribute the 10

50x - 6 + 50

Combine like terms

50x = 44

Divide both sides by 50

x = 44/50

Simplify

x = 22/25 = 0.88

The answer is x = 0.88

Hope this helps!
8 0
2 years ago
A spinner contains three letters of the alphabet how many outcomes are possible if the spinner is spun 3 times
Marat540 [252]
If the spinner is spun three times, there are three possibilities for each spin, so there are 3*3*3=27 possible outcomes.  Note that the letters on the spinner are extraneous information (i.e. you don't need to know what the letters are to solve the problem).
5 0
3 years ago
Find the midpoint of the line segment connecting the two points (5,-3) (-4,7)
barxatty [35]

Answer:

The answer is

<h2>( \frac{1}{2}  \: , \: 2)</h2>

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

<h3>M  = ( \frac{x1 + x2}{2} ,  \:  \frac{y1 + y2}{2} )</h3>

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(5,-3) and (-4,7)

The midpoint is

<h3>M  = ( \frac{5 - 4}{2} , \:  \frac{ - 3 + 7}{2} ) \\  = ( \frac{1}{2}  \: , \:  \frac{4}{2} )</h3>

We have the final answer as

<h3>( \frac{1}{2}  \: , \: 2)</h3>

Hope this helps you

8 0
2 years ago
The length of time needed to complete a certain test is normally distributed with mean 62 minutes and standard deviation 8 minut
NeX [460]

Answer: the correct option is e

Step-by-step explanation:

Since the The length of time needed to complete a certain test is normally distributed, we would apply the the formula for normal distribution which is expressed as

z = (x - u)/s

Where

x = The length of time needed to complete a certain test

u = mean time

s = standard deviation

From the information given,

u = 62 minutes

s = 8 minutes

We want to find the probability the probability that it will take less than 74 minutes to complete the test. It is expressed as

P(x lesser than or equal to 74)

For x = 74,

z = (74 - 62)/8 = 1.5

Looking at the normal distribution table, the corresponding value for the z score is 0.9332

P(x lesser than or equal to 74) = 0.9332

6 0
3 years ago
suppose the probability of someone having a reaction to a medication is 0.025 what is the probability of two out of tree people
s344n2d4d5 [400]

Answer:

0.0018 = 0.18% probability of two out of tree people having a reaction.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they have a reaction, or they do not. The probability of a person having a reaction is independent of any other person. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

The probability of someone having a reaction to a medication is 0.025.

This means that p = 0.025

What is the probability of two out of tree people having a reaction?

This is P(X = 2) when n = 3. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 2) = C_{3,2}.(0.025)^{2}.(0.975)^{1} = 0.0018

0.0018 = 0.18% probability of two out of tree people having a reaction.

5 0
3 years ago
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