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adoni [48]
3 years ago
10

You deposit $5000 in an account earning 7.5% simple interest. How long will it take for the balance of the account to be $6500?

Mathematics
1 answer:
salantis [7]3 years ago
4 0
Hi there! So, the simple interest is 7.5% annually. Let’s multiply by initial amount by the interest rate. 5,000 * 7.5% is 375. You earn $375 in interest annually. The difference of 6,500 and 5,000 is 1,500. Let’s divide by 375 to see how many times it goes into 1,500. 1,500/375 is 4. It will take 4 years for the balance of the account to be $6,500.
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What is the best defenition for sample as used in in statistics​
leva [86]

Answer: Well sampling is the process of choosing a representative sample from a target population and collecting data from that sample in order to understand something about the population as a whole. A data sample is a set of data collected and the world selected from a statistical population by a defined procedure.

Step-by-step explanation:

8 0
3 years ago
Expand the following:<br> a) 3(x + 5)<br> b) 4(x-4)<br> c) 2(5x + 1)<br> d) 7(x-9y)
Tema [17]

Answer:

<h3>a. 3x+15</h3><h3>b. 4x-16</h3><h3>c. 10x+2</h3><h3>D. 7x-63y</h3>

solution,

a. \: 3(x + 5) \\  \:  \:  = 3 \times x + 3  \times 5 \\  \:  \:  = 3x + 15

b. \: 4(x - 4) \\  \:  \:  = 4 \times x - 4 \times 4 \\  \:  \:  = 4x - 16

c. \: 2(5x + 1) \\  \:  = 2 \times 5x + 2 \times 1 \\  \:  \:  = 10x + 2

d . \: 7(x - 9y) \\  \:  = 7 \times x - 7 \times 9y \\  \:  \:  = 7x - 63y

Hope this helps..

Good luck on your assignment..

8 0
3 years ago
Read 2 more answers
Michael Jordan scores the following points over 8 games: 24, 17, 28, 19, 23, 20, 13, 19. What is the mean (average) number of po
olga nikolaevna [1]

Answer:

19

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
** WILL GIVE 15 POINTS FOR THIS ONE QUESTION + BRAINLIEST **
densk [106]

Answer:

  x + 4y ≤ 15; y ≥ 0

Step-by-step explanation:

The graph doesn't do a very good job of modeling any of the given equations. However, the equations listed above seem the best fit.

The slope of the top (left) line is negative, so the equation will be of the form ...

  x + 4y = something

When y=0, x=15, so the "something" is expected to be 15.

However, the line appears to go through points (6, 2) and (-2, 4). Both of these points are on the line x + 4y = 14.

The graph is shaded <em>below the line</em> so the values of x and y that are in the shaded area will add to <em>less than</em> 15 (or 14). Hence, the inequality will be ...

  x + 4y ≤ something . . . . . part of the 3rd answer choice

The fact that the shading does not go below y=0 means the other limit is ...

  y ≥ 0 . . . . . part of every answer choice.

5 0
3 years ago
Lucy rolls 2 fair dice and adds the results from each.
Daniel [21]

Answer:

Answer:

The probability of obtaining the sum of 10 is 1/12 or 0.0833

Step-by-step explanation:

Given

2 fair dice

Required

Probability of obtaining the sum of 10

To solve this, we have to list out the sample space.

Sample space is the total possible sum that can be obtained when she rolls the dice.

Let the first die be represented with S1 and the second be represented with S2.

S1 = {1,2,3,4,5,6}

S2 = {1,2,3,4,5,6}

To get the sample space, we have to add individual elements of S1 and S2.

This is done as follows.

When S1 = 1 and S2 = {1,2,3,4,5,6}

Sum = 1+1, 1+2, 1+3, 1+4, 1+5, 1+6

Sum = 2, 3, 4, 5, 6, 7

When S1 = 2 and S2 = {1,2,3,4,5,6}

Sum = 2+1, 2+2, 2+3, 2+4, 2+5, 2+6

Sum = 3,4,5,6,7,8

Using the same pattern as used above

When S1 = 3 and S2 = {1,2,3,4,5,6}

Sum = 4,5,6,7,8,9

When S1 = 4 and S2 = {1,2,3,4,5,6}

Sum = 5,6,7,8,9,10

When S1 = 5 and S2 = {1,2,3,4,5,6}

Sum = 6,7,8,9,10,11

When S1 = 6 and S2 = {1,2,3,4,5,6}

Sum = 7,8,9,10,11,12

Writing out the Sum, will give us the sample space.

Sample Space = {2, 3, 4, 5, 6, 7, 3, 4, 5, 6, 7, 8, 4, 5, 6, 7, 8, 9, 5, 6, 7, 8, 9, 10, 6, 7, 8, 9, 10, 11, 7, 8, 9, 10, 11, 12}

The sample space has a total of 36 elements

To calculate the probability of obtaining the sum of 10,

We have to count the number of 10's in the sample space

Number of 10 = 3

Probability = Number of 10 / Number of Sample Space

Probability = 3 / 36

Probability = 1/12

Probability = 0.0833

Hence, the probability of obtaining the sum of 10 is 1/12 or 0.0833

5 0
3 years ago
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