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slega [8]
3 years ago
10

The number of bacteria in a culture doubles every 5 minutes. At first there are 10, after 5 minutes there are 20, after 10 minut

es there are 40. How many bacteria are there after 20 minutes?
a.
80
c.
60
b.
160
d.
320
Mathematics
1 answer:
garik1379 [7]3 years ago
6 0
The answer is 160 because as you stated in the question the number of bacteria doubles every five minutes, and after 10 minutes there are 40. Therefore, after 15 minutes there are 80 (40 doubled is 80), and after 20 (another 5 minutes), the number of bacteria is the double of 80, which is 160.
- Hope I helped :)
- PeaceLoveHappiness
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By what percent has the rhinoceros weight increased
romanna [79]

let's first off  convert those mixed fractions to improper fractions, then get their difference.

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now, the original amount, 3/2, if that is the 100%, what is 3/5 off of it in percentage?

\bf \begin{array}{ccll} amount&\%\\ \cline{1-2}\\ \frac{3}{2}&100\\\\ \frac{3}{5}&x \end{array}\implies \cfrac{~~\frac{3}{2}~~}{\frac{3}{5}}=\cfrac{100}{x}\implies \cfrac{3}{2}\cdot \cfrac{5}{3}=\cfrac{100}{x}\implies \cfrac{5}{2}=\cfrac{100}{x} \\\\\\ 5x=200\implies x=\cfrac{200}{5}\implies x=40

4 0
3 years ago
how much must you deposit in an account that pays 8% interest,compounded monthly to have a balance of $1000 after three years?​
NNADVOKAT [17]
<h3>Answer:  787.25 dollars</h3>

=============================

Work Shown:

A = final amount after t years = 1000

P = initial deposit = unknown

r = interest rate in decimal form = 0.08

n = compounding frequency = 12

t = number of years = 3

-----

A = P*(1+r/n)^(n*t) is the compound interest formula

1000 = P*(1+0.08/12)^(12*3)

1000 = P*1.27023705162066

1.27023705162066P = 1000

P = 1000/1.27023705162066

P = 787.254629932364

P = 787.25 rounding to the nearest penny

----

note: this assumes that the interest rate stays at 8% the entire three year period; also, you cannot withdraw any money from the account during this time period.

5 0
3 years ago
Use f(x) = 1 2 x and f -1(x) = 2x to solve the problems.
AVprozaik [17]

Answer:

The answer to your question is below

Step-by-step explanation:

Functions

  f(x) = 12x           f⁻¹(x) = 2x

a)   f⁻¹(-2) = 2(-2)

     f⁻¹(-2) = -4

b) f(-4) = 12x

    f(-4) = 12(-4)

    f(-4) = -48

c) f(f⁻¹(-2)) =

   f(f⁻¹(x)) = 12(2x) = 24x

  f(f⁻¹(-2)) = 24(-2) = -48            

I think your functions are wrong they must be       f(x) = 1/2x    f⁻¹(x) = 2x        

a)  f⁻¹(-2) = 2(-2)

             = -4

b) f(-4) = 1/2(-4)

         = -2

c) f(f⁻¹(x)) = 1/2(2x)

              = x

  f(f⁻¹(-2)) = -2

4 0
3 years ago
The edge of a cube is 4 inches. The area of a cross section perpendicular to one face is ___square inches, and its perimeter is_
diamong [38]
Try 8 and 12.......................................

3 0
3 years ago
Read 2 more answers
How to solve x/3 + 4 = -2
r-ruslan [8.4K]

Answer:

x=−18

Step-by-step explanation:

Let's solve your equation step-by-step.

x

3

+4=−2

Step 1: Simplify both sides of the equation.

1

3

x+4=−2

Step 2: Subtract 4 from both sides.

1

3

x+4−4=−2−4

1

3

x=−6

Step 3: Multiply both sides by 3.

3*(

1

3

x)=(3)*(−6)

x=−18

5 0
2 years ago
Read 2 more answers
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