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3 years ago

How many bacteria will there be in 4.5 hours? In 5 hours?

Mathematics

1 answer:

aleksandrvk [35]3 years ago

4 0

Answer:

4.5 hours in minutes = 270

Every 45 minutes, bacteria triples

You start with 50

Divide 270 (total time) by 45 (every time bacteria triples)

270/45 = 6

36,450 bacteria

Step-by-step explanation:

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Theodore invests a total of $17,500 in two accounts paying 2% and 12% annual interest, respectively. How much was invested in ea

iVinArrow [24]

Answer:

11,500 at 2% and $6,000 at 12%.

Step-by-step explanation:

Let x represent amount invested at 2% and y represent amount invested at 12%.

We have been given that Theodore invests a total of $17,500 in two accounts. We can represent this information in an equation as:

$x+y=17500...(1)$

$x=17500-y...(1)$

We are also told that he invested $17,500 in two accounts paying 2% and 12% annual interest, respectively. After one year, the total interest was $950.00.

Interest earned at 2% in one year would be $0.02x$ .

Interest earned at 12% in one year would be $0.12y$

$0.02x+0.12y=950...(1)$

Upon substituting equation (1) in equation (2), we will get:

$0.02(17500-y)+0.12y=950$

$350-0.02y+0.12y=950$

$350+0.10y=950$

$350-350+0.10y=950-350$

$0.10y=600$

$\frac{0.10y}{0.10}=\frac{600}{0.10}$

$y=6000$

Therefore, Theodore invested $6,000 at 12%.

Upon substituting $y=6000$ in equation (1), we will get:

$x=17500-6000$

$x=11500$

Therefore, Theodore invested $11,500 at 2%.

5 0

3 years ago

For two events and , the probability that occurs is 0.8, the probability that occurs is 0.4, and the probability that both occur

sergey [27]

Answer:

P(B|A)=0.25 , P(A|B) =0.5

Step-by-step explanation:

The question provides the following data:

P(A)= 0.8

P(B)= 0.4

P(A∩B) = 0.2

Since the question does not mention which of the conditional probabilities need to be found out, I will show the working to calculate both of them.

To calculate the probability that event B will occur given that A has already occurred (P(B|A) is read as the probability of event B given A) can be calculated as:

P(B|A) = P(A∩B)/P(A)

= (0.2) / (0.8)

P(B|A)=0.25

To calculate the probability that event A will occur given that B has already occurred (P(A|B) is read as the probability of event A given B) can be calculated as:

P(A|B) = P(A∩B)/P(B)

= (0.2)/(0.4)

P(A|B) =0.5

7 0

4 years ago

PLEASE HELP! GEOMETRY.

vitfil [10]

I hope this helps you

3 0

3 years ago

Jason’s savings account has a balance of $2179. After 5 years , what will the amount of interest be at 6% compounded quarterly?

satela [25.4K]

Answer:

$755.80

Step-by-step explanation:

Determine the compound amount first and then subtract the principal from it, to find the amount of interest.

The compound amount formula is A = P (1 + r/n)^(nt), where

P is the initial principal, r is the interest rate as a decimal fraction, n is the number of compounding periods per year, and t is the number of years. Here, P = $2179; t = 5 yrs; r = 0.06; and n = 4 (quarterly compounding).

We get:

A = $2179(1 + 0.06/4)^(4*5), or $2179(1.015)^20, or $2179(1.347) = $2937.80.

The compound amount is $2934.80. Subtracting the $2179 principal results in the interest earned: $755.80.

5 0

3 years ago

PLEASE HELP NOW I ONLY NEED TO KNOW NUMBER 5. 25 POINTS!!!

Anika [276]

If Point C and D are equidistant from point A, it means that AC and AD are of the same length. AC = AD

AC = AD (S) (<span>Points C and D are equidistant from point A)
</span>AE = AE (S) (The two triangle shared the same side)
∠CAE = ∠EAD (A) (This angle is between the two sides that we just proved to be equal)

By SAS,
ΔEAD ≡ ΔEAC

7 0

3 years ago