Answer:

x = 1091.63315843

Setting Up:

7 = ln ( x + 5 )

ln translates to "log" with an "e" as the base or subscript ( a small "e" at the bottom right of the "g" in log).

You take the base of the log and put it to the power of "7" ( "7" is the natural log of ( x + 5 ) in this problem ).

The value of which the logarithm is calculated is set equal to the base of the logarithm to the power of the calculated logarithm of the value.

e^7 = x + 5

Solving:

e = 2.71828182846

Natural logarithms are logarithms to the base of the constant 'e'.

e^7 = x + 5 ( simplify e^7 )

1096.63315843 = x + 5

Subtract 5 from each side.

1091.63315843 = x

5 0

2 years ago

Given the formula C= 1/2t(c1-c2), solve for t.

kobusy [5.1K]

Answer:

$t=\frac{2C}{c1-c2}$

Step-by-step explanation:

$C=\frac{1}{2}t(c1-c2)\\2(C)=2(\frac{1}{2}t(c1-c2))\\2C=t(c1-c2)\\\frac{2C}{c1-c2}=\frac{t(c1-c2)}{c1-c2}\\t=\frac{2C}{c1-c2}$

3 0

2 years ago

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The monthly cost (in dollars) of a long-distance phone plan is a linear function of the total calling time (in minutes). The mon

kkurt [141]

The monthly cost will be $17.14

Step-by-step explanation:

Given that the monthly cost (in dollars) of a long-distance phone plan is a linear function of the total calling time (in minutes) then this can be presented in a table form as;

Time in minutes (x) Cost in dollars (y)

50 $12.55

102 $ 17.23

Take the values as ordered pairs to represent coordinates for points that satisfy the linear function

(50,12.55) and (102,17.23)

Finding the slope of the graph using these points

slope,m=Δy/Δx

m=Δy=17.23-12.55 =4.68

Δx=102-50=52

m=4.68/52 =0.09

Finding the equation of the linear function using m=0.09, and point (50,12.55)

m=Δy/Δx

0.09=y-12.55/x-50

0.09(x-50)=y-12.55

0.09x-4.5=y-12.55

0.09x-4.5+12.55=y

y=0.09x+8.05

So for 101 minutes , the cost will be;

y=0.09*101 +8.05

y=9.09+8.05 = $17.14

Learn More

Linear functions : brainly.com/question/11052356

Keyword : linear function

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5 0

3 years ago