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3 years ago

9

2 Points

1 answer:

faltersainse [42]3 years ago

5 0

Answer:

the answer is C

Step-by-step explanation:

In the y intercept formula which is y=Mx+b the b in the formula represents the y intercept

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434/7 as rate will it be 62 or 6:2

Licemer1 [7]

Answer:

I think it's 62.

Hope this helps!

7 0

4 years ago

Is (0,3) a solution to the equation y=x+3?

Anna007 [38]

1. To find out if (0,3) is a solution to y = x +3 you replace x and y with (0,3)

y = x + 3
3 = 0 + 3
3 = 3 Correct

The answer is YES

2. To find out if (1,-4) is a solution to y = -2x you replace x and y with (1,-4)

y = -2x
-4 = -2(1)
-4 = -2 Incorrect

The answer is NO

5 0

4 years ago

The value of an investment A (in dollars) after t years is given by the function A(t) = A0ekt. If it takes 10 years for an inves

Ludmilka [50]

Answer:

20 years.

Step-by-step explanation:

We have been given a formula $A(t)=A_0\cdot e^{kt}$ , which represents the value of an investment A (in dollars) after t years.

Substitute the given values:

$\$3,000=\$1,000\cdot e^{k*10}$

Let us solve for k.

$\frac{\$3,000}{\$1,000}=\frac{\$1,000\cdot e^{k*10}}{\$1,000}$

$3=e^{k*10}$

Take natural log of both sides:

$\text{ln}(3)=\text{ln}(e^{k*10})$

Using property $\text{ln}(a^b)=b\cdot \text{ln}(a)$ , we will get:

$\text{ln}(3)=10k\cdot\text{ln}(e)$

We know that $\text{ln}(e)=1$ , so

$\text{ln}(3)=10k\cdot 1$

$\text{ln}(3)=10k$

$\frac{\text{ln}(3)}{10}=\frac{10k}{10}$

$\frac{\text{ln}(3)}{10}=k$

$\$9,000=\$1,000\cdot e^{\frac{\text{ln}(3)}{10}*t}$

Dividing both sides by 1000, we will get:

$9=e^{\frac{\text{ln}(3)}{10}*t}$

Take natural log of both sides:

$\text{ln}(9)=\text{ln}(e^{\frac{\text{ln}(3)}{10}*t)$

$\text{ln}(9)=\frac{\text{ln}(3)}{10}*t\cdot\text{ln}(e)$

$\text{ln}(9)=\frac{\text{ln}(3)}{10}*t\cdot1$

$10*\text{ln}(9)=10*\frac{\text{ln}(3)}{10}*t$

$10\text{ln}(9)=\text{ln}(3)*t$

$10\text{ln}(3^2)=\text{ln}(3)*t$

$2\cdot 10\text{ln}(3)=\text{ln}(3)*t$

$20\text{ln}(3)=\text{ln}(3)*t$

Divide both sides by $\text{ln}(3)$ :

$\frac{20\text{ln}(3)}{\text{ln}(3)}=\frac{\text{ln}(3)*t}{\text{ln}(3)}$

$20=t$

Therefore, it will take 20 years for the investment to be $9,000.

5 0

3 years ago

A culture of 2.4X10^11 bacteria is in a Petri dish A. A culture of 8X10^9 bacteria is in Petri dish B. How many times greater is

Citrus2011 [14]

A culture of 2.4 × 10^11 bacteria is in a Petri dish A

A culture of 8 × 10^9 bacteria is in Petri dish B

Number of times number of bacteria in Petri dish A is greater than that number in Petri dish B:

$\frac{Number of bacteria in Petri dish A}{Number of bacteria in Petri dish B} = \frac{2.4 * 10^11}{8 * 10^9}$

Divide 2.4 by 8 to give 0.3

Divide 10^11 by 10^9 to give 10^(11-9) = 10^2

The answer is 0.3 × 10²

7 0

3 years ago

What is the sum of 18 tenths and 82 hundredths? A 0.100 B26.2. C100 D 2.62

Bond [772]

Answer:

100

Step-by-step explanation:

it is C

sum means add +

4 0

3 years ago