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V125BC [204]
3 years ago
7

A culture started with 6,000 bacteria. After 6

Mathematics
1 answer:
aivan3 [116]3 years ago
7 0

Answer:

9,400 bacteria at Hour 17.

Step-by-step explanation:

If at

Hour 0, it was at 6,000 bacteria then at

Hour 6, it would be at 7,200 bacteria

That means in 6 hours, the bacteria has grown by 1,200

Let's use a ratio:

hours : bacteria

   6     :   1,200

   1      :     200

  17     :   3,400

Now after 17 hours, 3,400 new bacteria has joined our group of 6,000

6000+3400=9400

9,400 bacteria should be present at Hour 17

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The perimeter of a rectangle is 44 inches. If the width of the rectangle is four more than half the length, find the length of t
Mars2501 [29]

Answer: the length of the rectangle is 12 inches

Step-by-step explanation:

Let the length of the rectangle is x inches

Hence, the width is (x/2)+4 inches

Thus,

\displaystyle\\2(x+(\frac{x}{2} +4))=44\\\\2x+x+8=44\\\\3x+8=44\\\\3x+8-8=44-8\\\\3x=36\\

Divide both parts of the equation by 3:

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6 0
1 year ago
Future value of 10% savings from earnings of1470 earning 3.5% annual interest compounded monthly for 25 years
Leviafan [203]

hmmm so let's see first how much is 10% of the earnings of 1470.

\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{10\% of 1470}}{\left( \cfrac{10}{100} \right)1470}\implies 147

so then

~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$147\\ r=rate\to 3.5\%\to \frac{3.5}{100}\dotfill &0.035\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &25 \end{cases}

A=147\left(1+\frac{0.035}{12}\right)^{12\cdot 25}\implies A=147\left( \frac{2407}{2400} \right)^{300}\implies \boxed{A\approx 352.19}

8 0
2 years ago
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Go to the right 0.2 then go up 0.02.
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3 years ago
Which linear inequality will not have a shared solution set with the graphed linear inequality?
OlgaM077 [116]

Answer: C

Step-by-step explanation:

4 0
3 years ago
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The sum of two numbers is 17 and the sum of their square is 145. find the larger number.
lys-0071 [83]
The larger number is 9.
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3 years ago
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