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2 years ago

Write the slope-intercept form of the equation of each line 6x-y=43

Mathematics

1 answer:

Alexeev081 [22]2 years ago

6 0

The slope intercept form is
y=6x-43

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An investor has an account with stock from two different companies. Last year, his stock in Company A was worth $6600 and his st

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Answer:

4.9%

Step-by-step explanation:

6600 * 107/100 = 66*107 = 7062.

3500 * 101/100 = 35x101 = 3535

7062+3535=10597. Original worth: 10100

10597-10100 = 497

497/10100 = 0.0492079208, or 4.92%, rounds to 4.9%

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3 years ago

If a person takes a prescribed dose of 10 milligrams of Valium, the amount of Valium in that person's bloodstream at any time ca

aleksandr82 [10.1K]

Answer:

(a)8.0mg

(b)36.87 hours

(c)-0.168

Step-by-step explanation:

The amount of Valium in that person's bloodstream at any time can be modeled with the exponential decay function $A ( t ) = 10 e^{ -0.0188 t$ (t in hours)

(a)After 12 Hours

$A ( 12) = 10 e^{ -0.0188*12}\\=7.98\\\approx 8.0 mg $(to the nearest tenth of a milligram)$

(b)If A(t)=5mg

Then:

$5= 10 e^{ -0.0188 t}\\$Divide both sides by 10\\0.5=e^{ -0.0188 t}\\$Take the natural logarithm of both sides\\ln (0.5)=-0.0188 t\\t=ln (0.5) \div (-0.0188)\\$t=36.87 hours (to two decimal places.)$

(c)

$A ( t ) = 10 e^{ -0.0188 t}\\A'(t)=10(-0.0188)e^{ -0.0188 t}\\A'(t)=-0.188e^{ -0.0188 t}\\$At 6 hours, the rate at which the amount of Valium is decaying therefore is:\\A'(6)=-0.188e^{ -0.0188*6}\\$=-0.168 ( to three decimal places)$

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2 years ago