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xz_007 [3.2K]
3 years ago
14

What is the mean of 31, 29, 33, 37, 33, 38, 43 and 40?

Mathematics
1 answer:
horsena [70]3 years ago
6 0

Answer: 35.5

Step-by-step explanation: The mean of a data set is equal to the sum of the set of numbers divided by how many numbers are in the set.

So to find the mean of the data set shown here, let's begin by adding the numbers.

31 + 29 + 33 + 37 + 33 + 38 + 43 + 40 = 284

284 will be divided by how many numbers are in the data set which is 8 so we have to divide 284 by 8.

248 ÷ 8 = 35.5

Therefore, the mean of the data set shown here is 35.5.

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How much money has to be invested at 5.9% interest compounded continuously to have $15,000 after 12 years?
scoray [572]

The amount of $7389.43 has to be invested at 5.9% interested continuously to have $15,000 after 12 years.

Step-by-step explanation:

The given is,

                Future value, F  = $15,000

                           Interest, i = 5.9%

              ( compounded continuously )

                            Period, t = 12 years

Step:1

           Formula to calculate the present with compounded continuously,

                                       F=Pe^{(i)(t)}...............(1)

           Substitute the values in equation (1) to find the P value,

                                  15000=Pe^{(0.059)(12)}          ( ∵ i = \frac{5.9}{100}=0.059 )

                                  15000=Pe^{0.708}

                                  15000=P(2.0299)             ( ∵ e^{o.708} =2.0299 )

            We change the P (Present value) into the left side,

                                        P=\frac{15000}{2.0299}

                                            =7389.427

                                            ≅ 7389.43

                                         P = $ 7389.43

Result:

           The amount of $7389.43 has to be invested at 5.9% interested continuously to have $15,000 after 12 years.  

                       

8 0
3 years ago
If an electric circuit is not grounded, it is best to reach out and touch it to
astraxan [27]
The answer is B because it is not safe to touch it
4 0
3 years ago
Pls answer this i need help
Vitek1552 [10]

Step-by-step explanation:

your don't see what went wrong ?

Tyrell worked on

16 - 2(4 + 3x)

what do brackets mean ? they mean that this operation has to be done before everything else in the expression.

as this contains a variable, we cannot fully calculate it, true, but we need to keep this in mind and always treat the content of the brackets as one package.

so, whatever I do from the outside with one part of that package, I have to do also with all the other parts of that package.

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therefore, the correct simplification looks like

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I can't mix the pure constant -3 into the factors of x. that would be like the famous mixing of apples and oranges.

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-2x - 3

6 0
3 years ago
A number patter has 75 as its first term. The rule for the pattern is subtract 6. What is the sixth term?
denpristay [2]
39 because you have to subtract six 6 times so 6*6=36 so 75-36=39
7 0
3 years ago
Read 2 more answers
What is 12765x6748+6789
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Thus we would multiple first, giving us 86138220. Then we would add giving us: 86145009
3 0
3 years ago
Read 2 more answers
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