$\displaystyle\tt\left(\frac{xy^4}{x^{-5}y^5}\right)^{-3} =\frac{x^{-3}y^{4\cdot(-3)}}{x^{-5\cdot(-3)}y^{5\cdot(-3)}}=\boxed{\tt\frac{x^{-3}y^{-12}}{x^{15}y^{-15}}}$

4 0

3 years ago

A kennel is moving 160 dogs to a new facility each dog has its own crate the facility manager rents 17 trucks each truck holds 9

mina [271]

This will only be able to hold 153 dogs in total. He will need 1 additional truck to hold the last 7 dogs.

4 0

3 years ago

Priscilla invests $10,000 in an account that compounds interest continuously and earns 11%. How long will it take for her money

Shkiper50 [21]

Answer:

Step-by-step explanation:

When the interest compounds continuously, our formula is

$A(t)=Pe^{rt}$

If we start with 10000 and are looking for how long, t, it takes to double, we are looking for how long it will take for our account to have 2 times 10000. That's 20000. Therefore, our equation is

$20000=10000e^{.11t}$

Divide both sides by 10000 to get

$2=e^{.11t}$

Take the natural log of both sides to "undo" that e:

$ln(2)=ln(e^{.11t})$

Again, since ln and e undo each other what we have now is

ln(2) = .11t and

$\frac{ln(2)}{.11}=t$ so

t = 6.3 years

5 0

3 years ago

a beaker holds 50mL of a liquid.How many centiliters does the beaker hold? a.5000cL b.5cL c.5000cL d.500cL

Sindrei [870]

Answer:

Your answer is 5cl

Step-by-step explanation:

This is because of King Henry Died by Drinking Chocolate Milk (Kilometers,Hectometers, Decameters, Base(Liters,Meters, and Grams) Decimeters, Centimeters and Millimeters). So when you have 50 milliliters, milliliters is one place away from centiliters so you move the decimal forward one place.

3 0

3 years ago