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bearhunter [10]
2 years ago
14

Lincoln invested $49,000 in an account paying an interest rate of 6\tfrac{1}{8}681​% compounded daily. Eli invested $49,000 in a

n account paying an interest rate of 5\tfrac{5}{8}585​% compounded continuously. After 20 years, how much more money would Lincoln have in his account than Eli, to the nearest dollar?
Mathematics
1 answer:
timofeeve [1]2 years ago
6 0

Answer: 15856

Step-by-step explanation: 166786.9963 - 150930.6256

= 15856.3707

= $15856

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Solve the following inequality.<br><br> IMAGE ATTACHED
kotykmax [81]
The answer is D.

First, separate the compound equality into 2
1st -3 (x-4) greater than/ equal to 21
2nd -3( x-4) < 30

Second, solve the inequality for x
1st x less than/ equal to -3
2nd x > -6

Third, find the intersection
D. -6 < x (less than/equal) to -3

I hope this helped, and if you don’t mind, giving me brainiest!

6 0
3 years ago
There is a bag filled with 3 blue and 4 red marbles.
tresset_1 [31]

Using the hypergeometric distribution, it is found that there is a 0.4286 = 42.86% probability of getting 2 of the same colour.

The marbles are chosen without replacement, hence the <em>hypergeometric </em>distribution is used to solve this question.

<h3>What is the hypergeometric distribution formula?</h3>

The formula is:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}

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

The parameters are:

  • x is the number of successes.
  • N is the size of the population.
  • n is the size of the sample.
  • k is the total number of desired outcomes.

In this problem:

  • There is a total of 3 + 4 = 7 marbles, hence N = 7.
  • Of those, 3 are blue, hence k = 3.
  • 2 marbles will be taken, hence n = 2.

The probability of getting 2 of the same colour is the sum of P(X = 0), which is both red, with P(X = 2), which is both blue, then:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}

P(X = 0) = h(0,7,2,3) = \frac{C_{3,0}C_{4,2}}{C_{7,2}} = 0.2857

P(X = 2) = h(2,7,2,3) = \frac{C_{3,2}C_{4,0}}{C_{7,2}} = 0.1429

Hence:

p = P(X = 0) + P(X = 2) = 0.2857 + 0.1429 = 0.4286

0.4286 = 42.86% probability of getting 2 of the same colour.

You can learn more about the hypergeometric distribution at brainly.com/question/4818951

3 0
2 years ago
The greatest number of people drinks how many glasses of water
Greeley [361]
Assuming the frequency be the numbers of people, the greatest number of people should be 8, and they drank 6 glasses.
7 0
3 years ago
Y to the 3rd power times y to the negative 5th power
lina2011 [118]
Y^3 * y^5 = y^8. you add the exponents
8 0
3 years ago
Please help me :3 please explain
Ivahew [28]

Using a proportional relationship, the amounts are given as follows:

  • Tennis 3, Soccer 7.
  • Tennis 36, Soccer 84.

<h3>What is a proportional relationship?</h3>

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality.

For this problem, we have that:

  • The input variable is the number of tennis players.
  • The output variable is the number of soccer players.

From the first row of the table, the constant is given as follows:

k = 35/15 = 7/3.

Hence the relationship is:

y = 7/3x.

For the second row of the table, we have that x = 3, hence:

y = 7/3 x 3 = 7.

For the third row of the table, we have that y = 84, hence:

84 = 7/3x

x = 84 x 3/7

x = 36.

Then the amounts are given as follows:

  • Tennis 3, Soccer 7.
  • Tennis 36, Soccer 84.

More can be learned about proportional relationships at brainly.com/question/10424180

#SPJ1

7 0
1 year ago
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