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mariarad [96]
2 years ago
12

For each table of values, write an expression that relates the input to the output.

Mathematics
1 answer:
Arlecino [84]2 years ago
8 0

Answer:

x3, +3

Step-by-step explanation:

Each number gets multiplied by 3 and then you add 3.

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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
Buying one movie ticket online costs $16.50. Two tickets cost $30.50. Assuming that the relationship is linear, use the drop dow
HACTEHA [7]

Answer:

C(n)=14n+2.50

Step-by-step explanation:

Let

n -----> number of tickets

C ----> represent the cost of buy n tickets online

we have the ordered pairs

(1,16.50) and (2,30.50)

<em>Find out the slope of the linear equation</em>

The formula to calculate the slope between two points is equal to

m=\frac{C2-C1}{n2-n1}

substitute the values

m=\frac{30.50-16.50}{2-1}

m=14

<em>Find the equation of the line in slope intercept form</em>

C=m(n)+b

we have

m=14

point(1,16.50)

substitute

16.50=14(1)+b

b=16.50-14

1b=2.50

substitute

C(n)=14n+2.50

The domain of the function is all positive integers (whole numbers) including zero

{0,1,2,3,4,...}

5 0
3 years ago
Find a​ point-slope form for the line with slope
Katen [24]

Answer:

It is Third quardant in Graph

7 0
2 years ago
LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Graph the image of the figure using the dilation given)
Anni [7]

Answer:

v' (0.5,1) , u' (0,1) , t' (-0.5,0) , w' (-0.5, -1)

5 0
2 years ago
7. The probability that Jane smokes is 4/9. The probability
svet-max [94.6K]

To find the probability that she develops lung cancer given that she smokes, multiply the two probabilities together:

4/9 x 3/10 = (4 * 3) / (9*10) = 12/90 = 2/15

6 0
2 years ago
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