How to write two and sixty three Hundredths in decimal form

Six-eighths of the 24 nails in the toolbox are bent. How many bent nails are in the toolbox?

seropon [69]

It is 32

i hope this helped

8 0

3 years ago

A bacteria population experiences continuous growth. If there were 2,000 bacteria present at the start of an experiment, how lon

allochka39001 [22]

Answer:

D. About 15.69 hours.

Step-by-step explanation:

Let x be the number of hours.

We have been given that there were 2,000 bacteria present at the start of an experiment and the growth rate was 7% per hour.

Since number of bacteria is growing exponentially, so we will use exponential growth function to solve our given problem.

The continuous exponential growth formula is in form: $y=e^{kx}$ , where,

e= mathematical constant,

k = Growth rate in decimal form.

Let us convert our given rate in decimal form.

$7\%=\frac{7}{100}=0.07$

Upon substituting our given values we will get exponential function for bacteria growth as: $y=2,000*e^{0.07x}$ , where, y represents number of bacteria after x hours.

Since we need to figure out the number of hours it will take for there to be 6,000 bacteria, so we will substitute y= 6,000 in our function.

$6,000=2,000*e^{0.07x}$

Let us divide both sides of our equation by 2,000.

$\frac{6,000}{2,000}=\frac{2,000*e^{0.07x}}{2,000}$

$3=e^{0.07x}$

Let us take natural log of both sides of our equation.

$\text{ln}(3)=ln(e^{0.07x})$

$\text{ln}(3)=0.07x$

$1.0986122=0.07x$

$x=\frac{1.0986122}{0.07}$

$x=15.69446\approx 15.69$

Therefore, it will take about 15.69 hours to be 6,000 bacteria and option D is the correct choice.

3 0

3 years ago

Match each scenario with the tax it is describing by putting the correct number next t

Anna [14]

Answer:

1) Yvonne buys gloves that cost $10.00. At the register, she must pay $10.80. ⇒ EXCISE TAX

2)Sasha bought a house last year. She just got a tax bill from the county showing the value of her house and the amount of tax. ⇒ PROPERTY TAX

3) Bigmart sells boots made in China and boots made in the U.S. Bigmart must pay 27% tax on each pair of boots made in China, but not on the U.S. made boots. ⇒ TARRIFF.

4)State citizens voted to add a 75-cent tax to each pack of cigarettes to pay for programs to help people quit smoking. ⇒ SALES TAX

5)Jake got his paycheck today. He worked 40 hours at $20 per hour His gross pay was $800, but the amount of his paycheck was only. ⇒ Income/Social /Security/Medicare Taxes

8 0

3 years ago

Read 2 more answers

Find the optimal solution for the following problem. (Round your answers to 3 decimal places.)

irina1246 [14]

Answer:

Maximize C = $9x + 7y$