Please help!!!! Tell me whether it’s a equation or not pleasr

The population of bacteria in a petri dish doubles every 24 h. The population of the bacteria is initially 500 organisms. How lo

liberstina [14]

Answer:

16.34 hours

Step-by-step explanation:

According to the given information we can see that the case is of exponential growth

Hence, we will use the formula

$A=P(2)^\frac{t}{24}$

Here A =800 is the amount that is needed to reach

P is the initial amount that is 500

We have to find the time it will take to reach 800 that is we need to find t

On substituting the values in the formula we get

$800=500(2)^\frac{t}{24}$

On simplification we get

$\Rightarrow\frac{8}{5}=(2)^\frac{t}{24}$

Taking log on both sides we get

$\Rightarrow\log\frac{8}{5}=\log(2)^\frac{t}{24}$

using $\log\frac{m}{n}=\log m-\log n$

And $\log a^m=m\log a$

$\Rightarrow\log{8}-\log{5}=\frac{t}{24}\log2$

Now substituting values of log 8=0.903, log 5=0.698 and log 2=0.301 we get

$\Rightarrow 0.903-0.698=\frac{t}{24}0.301$

$\Rightarrow 0.205=\frac{t}{24}0.301$

$\Rightarrow \frac{0.205}{0.301}\cdot 24=t$

$\Rightarrow t=16.34$

8 0

4 years ago

Read 2 more answers

The area of a triangle is 45cm2 and the height is 9 cm. What is the length of the base?

Bess [88]

Formula
A=bh divides by 2

SUBSTITUTE
45=b9 divided by 2

MULTIPLY/DIVIDE

You can either divide by 2 or multiply by 1/2 (gets the same answer)
9 x 1/2 = 4.5

DIVIDE
45 divides by 4.5 = 10

CHECK

A= 10 x 9 divided by 2 or multiply by 1/2 (same answer) = 45

Thus, the answer is 10.
I hope this helped you understand the process!

5 0

3 years ago

True or false two lines that lie in a parallel planes are parallel

faltersainse [42]

True ................

4 0

3 years ago

A bank manager wants to encourage new customers to open accounts with principals of at least $2 comma 500. He decides to make a

prisoha [69]

Answer:

To earn $10 in 1st month, the principal must be $4,000.

No, the poster cannot claim that "Open an account of $2 comma 500 and earn at least $10 interest in 1 month!".

Step-by-step explanation:

We have been given that a bank manager wants to encourage new customers to open accounts with principals of at least $2,500. He decides to make a poster advertising a simple interest rate of 3%. We are asked to find the principal to advertise that one can earn $10 the first month.

We will use simple interest formula to solve our given problem.

$I=Prt$ , where,

I = Amount of interest,

P = Principal amount,

r = Annual interest rate in decimal form,

t = Time in years.

$r=3\%=\frac{3}{100}=0.03$

1 month will be equal to $\frac{1}{12}$ .

$\$10=P\cdot0.03\cdot \frac{1}{12}$

$\$10=0.0025P$

$\frac{\$10}{0.0025}=\frac{0.0025P}{0.0025}$

$P=\$4000$

Therefore, to earn $10 in 1st month, the principal must be $4,000.

Now, we will check if an account of $2,500 can earn at least $10 interest in 1 month.

$I=\$2500\cdot 0.03\cdot \frac{1}{12}$

$I=\$6.25$

Since the account earns an amount of $6.25 in one month, therefore, the poster is not true.

4 0

3 years ago

Tori has already jarred 8.24 liters of jam and will jar an additional 7.36 liters of jam every day.How much jam did Tori jar if

gayaneshka [121]

Answer:

Step-by-step explanation:24 liters of jam after 4 days. How much jam did Alexa jar if she spent 8 days making jam? Assume the relationship is directly proportional.

3 0

4 years ago