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3 years ago

1. Given f(x) = 3x + 7

Mathematics

1 answer:

snow_lady [41]3 years ago

5 0

Step-by-step explanation:

let y=f(x)

y=3x+7 ,then x=3y+7➡️3y=x-7➡️y=(x-7)/3

f'(x)=(x-7)/3

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What times what is 15 but also adds up to a total of 8?

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3 years ago

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A bag contains 8 blue marbles 6 red marbles and 4 green marbles what is the probability of selecting a blue marble replaced it i

Sauron [17]

Answer:

$\dfrac{4}{27}$

Step-by-step explanation:

A bag contains 8 blue marbles 6 red marbles and 4 green marbles, 8 + 6 + 4 = 18 marbles in total.

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Then the blue marble was replaced in the bag.

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3 years ago

Find the mean of 9 13 9 10 10 9 10 10 11 9

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3 years ago

Suppose that $2600 is invested at an interest rate of 1.75% per year, compounded continuously. After how many years will the ini

Stolb23 [73]

ANSWER:

39.61 years

STEP-BY-STEP EXPLANATION:

Formula for continous compounding is given by:

$A=P\cdot e^{rt}$

Where,

A = Future Amount: Since investement double = $2600*2 = $5200

P = Principal Amount = $2600

r = Rate of interest = 1.75% = 1.75/100 = 0.0175

t = Time in years = t

Replaicng:

$\begin{gathered} 5200=2600\cdot e^{0.0175\cdot t} \\ \frac{5200}{2600}=e^{0.0175\cdot t} \\ e^{0.0175t}=2 \\ 0.0175t=\ln 2 \\ t=\frac{\ln 2}{0.0175} \\ t=39.608\cong39.61\text{ years} \end{gathered}$

After 39.61 years the initial investment will double

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10 months ago