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3 years ago

Suppose 86% of 50 people at a law firm like their job. How many people like their job.

2 answers:

8 0

To find 86% of 50, you do 50*.86 (because .86 is the decimal form of the percentage 86%)

50*.86=43 people

Hope this helps

natita [175]3 years ago

6 0

You would do 50*.86 because percents are out of 100. Multiply and you get 46. Therefore, 46 people like their job! Hope I helped you understand and this proves helpful :)

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If y=e5t is a solution to the differential equation

a_sh-v [17]

Answer:

k = 30, $y(t) = C_1e^{5t}+C_2e^{6t}$

Step-by-step explanation:

Since $y=e^{5t}$ is a solution, then it must satisfy the differential equation. So, we calculate the derivatives and replace the value in the equation. We have that

$\frac{d^2y}{dt^2} = 25 e^{5t},\frac{dy}{dt} = 5e^{5t}$

Then, replacing the derivatives in the equation we have:

$25e^{5t}-11(5)e^{5t}+ke^{5t}=0 e^{5t}(25-55+k) =0$

Since $e^{5t}$ is a positive function, we have that

$25-55+k = 0 \rightarrow k = 30$ .

Now, consider a general solution $y(t) = Ae^{rt}, A \in \mathbb{R}$ , then, by calculating the derivatives and replacing them in the equation, we get

$Ae^{rt}(r^2-11r+30)=0$

We already know that r=5 is a solution of the equation, then we can divide the polynomial by the factor (r-5) to the get the other solution. If we do so, we get that (r-6)=0. So the other solution is r=6.

Therefore, the general solution is

$y(t) = C_1e^{5t}+C_2e^{6t}$

8 0

3 years ago

Help mark you as brainly

Greeley [361]

Answer:

Step-by-step explanation:

5 0

3 years ago

This Venn diagram shows the pizza topping preferences for 9 students. Let event A = The student likes pepperoni. Let event B = T

victus00 [196]

Answer:

$P(A\ or\ B)=\frac{7}{9}$

Step-by-step explanation:

We need to use the formula to calculate the probability of (A or B) where

A=Probability a student likes pepperoni

B=Probability a student likes olive

A and B =Probability a student likes both toppings in a pizza

A or B =Probability a student likes pepperoni or olive (and maybe both), a non-exclusive or

The formula is

$P(A\ or\ B)=P(A)+P(B)-P(A\ and\ B)$

Since 6 students like pepperoni out of 9:

$P(A) = \frac{6}{9}$

Since 4 students like olive out of 9:

$P(B) = \frac{4}{9}$

Since 3 students like both toppings out of 9

$P(A\ and\ B) = \frac{3}{9}$

Then we have

$P(A\ or\ B)=\frac{6}{9}+\frac{4}{9}-\frac{3}{9}$

$P(A\ or\ B)=\frac{7}{9}$

7 0

3 years ago

Find 118% of 19 could really use some help late bloomer

Zanzabum

Hello,

<span>to find the percent of a number what we have to do is to multiply the number by de percent that we want to know and divide by 100, so:
</span>
$19* \frac{118}{100} =22.42$

Answer: 118% of 19 is 22.42

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3 years ago

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Brianna incorrectly said proportion below is 1/12

anzhelika [568]

Answer:

Um... u have no picture so we can't answer.

Step-by-step explanation:

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2 years ago