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saveliy_v [14]
1 year ago
5

A bacteria population grows by 10% every 2 years. Presently, the population is 80 000 bacteria. Find the population in 8 years f

rom now. (Can use log if needed but not “in”)
Mathematics
1 answer:
faust18 [17]1 year ago
3 0

An exponential function is modeled using the equation:

P(t)=a(1+r)^{\frac{t}{n}}

where P(t) is the population after t years, a is the initial population, r is the growth rate in decimals, t is the number of years, and n is the number of periods in one cycle.

From the given information, we have the following parameters:

\begin{gathered} a=80000 \\ r=0.1 \\ t=8 \\ n=2 \end{gathered}

Therefore, the population after 8 years can be calculated by substituting into the formula and solving for P(t) as follows:

\begin{gathered} P(t)=80000(1+0.1)^{\frac{8}{2}}=80000(1.1)^4 \\ P(t)=117128 \end{gathered}

The population is 117,128.

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Assume that r varies directly with s. If r = 21 when s = 6, find r when s = 12.
Illusion [34]
\bf \qquad \qquad \textit{direct proportional variation}\\\\
\textit{\underline{y} varies directly with \underline{x}}\qquad \qquad  y=kx\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad  variation
\end{array}\\\\
-------------------------------

\bf r=ks\qquad \textit{we also know that }
\begin{cases}
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\end{cases}\implies 21=k6\implies \cfrac{21}{6}=k
\\\\\\
\cfrac{7}{2}=k\qquad therefore\qquad \boxed{r=\cfrac{7}{2}s}
\\\\\\
\textit{if s = 12, what is \underline{r}?}\qquad r=\cfrac{7}{2}\cdot 12
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4 years ago
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hichkok12 [17]

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1. 1

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What is the value of the expression 6 and 3 over four multiplied by negative 11. 5?.
Margarita [4]

The value of the expression (6¾) × -11.5 is; -77⅝

We want to find the value of;

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Read more about simplification of fraction at; brainly.com/question/15225407

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