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alisha [4.7K]
3 years ago
12

If the lines x+y=5 and 2x +2y+6=0 are parallel, find the distance between them

Mathematics
1 answer:
kobusy [5.1K]3 years ago
5 0
Pretty sure the distance is 8 units
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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
Simplify 12(6)-7(2)+(6-3)
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Step-by-step explanation:

12(6) - 7(2) + (6-3)

48 - 14 + 2

36

5 0
3 years ago
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The teacher said estimate this with out counting 1 by 1 then divide it by 20 HELP PLEASSEE
WARRIOR [948]
Well, first fin dyour best estimate mine is...600
Then after you got your best estimate divide that my 20
600/20 = 30 
Hope this helped :D
7 0
3 years ago
Which would you trade on a stock exchange?
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The answers are A. Shared and B. Stocks, YW :)
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Write the value of the expression 3^3/3^6
scZoUnD [109]

Answer:

When dividing two values with the same base, we simply subtract the first exponent by the second and keep the original base. 3^3-6=3^-3. This equals out to be 1/27.

Step-by-step explanation:

6 0
3 years ago
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