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valentina_108 [34]

3 years ago

11

Use an equation to represent the relationship Francine is 4 years younger than Bella

1 answer:

blsea [12.9K]3 years ago

4 0

X is Bella's age
x- 4 is Francine's age

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Need help pls it for math

umka2103 [35]

Answer:

B

Step-by-step explanation:

-4y-3<9

-4y<12

y<-3

==> B

5 0

3 years ago

-p - 4p is greater than or equal to -10

lara31 [8.8K]

Answer:

p<=2

Step-by-step explanation:

-p-4p>=-10

-5p>=-10

5p>=10

p>=10/5

p>=2

4 0

3 years ago

A tank holding 600 liters of milk is leaking. Each week it loses 60 liters of milk. Let M be the liters of milk remaining in the

r-ruslan [8.4K]

Linear, because the tank will eventually be empty. In about 10 weeks

7 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

Which is the net for the figure shown?

Nataliya [291]

Answer:

The third one, with the sideways "z" shape.

Step-by-step explanation:

When folded, this net shape will become the new figure.

3 0

3 years ago