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Illusion [34]
2 years ago
12

There are 100 bacteria in a jar. Every day, the number of bacteria increases 25%. In approximately how many days will there be 5

00 bactria in the jar? Pick the closest answer.
A. 3
B. 12
C. 10
D. 2
E. 7
Mathematics
2 answers:
vodomira [7]2 years ago
6 0

Answer:

E. 7

Step-by-step explanation:

General form of exponential equation:  y=ab^x

where a is the initial value, b is the growth/decay rate, and x is time.

Given:

  • a = 100 bacteria
  • b = 25% increase = 1.25
  • x = number of days

⇒ y=100 \cdot 1.25^x

If y = 500, then:

\implies 500=100 \cdot 1.25^x

\implies 5=1.25^x

\implies \ln5=\ln1.25^x

\implies \ln5=x\ln1.25^

\implies x=\dfrac{\ln5}{\ln1.25}

\implies x=7.212567439...

\implies x \approx7

algol [13]2 years ago
5 0

Use compound interest formula

\\ \rm\Rrightarrow P(1+r/100)^t=500

\\ \rm\Rrightarrow 100(1+0.25)^t=500

\\ \rm\Rrightarrow (1.25)^t=5

\\ \rm\Rrightarrow log(1.25)^t=log5

\\ \rm\Rrightarrow tlog1.25=log5

\\ \rm\Rrightarrow t(0.097)=0.3

\\ \rm\Rrightarrow t=3.3\approx 3

Option A

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The Quadratic Formula gives which roots for the equation 2x2 + 7x = -2?
olya-2409 [2.1K]

Answer:

B. (-7 +/-√33) / 4

Step-by-step explanation:

2x2 + 7x + 2 = 0

x =  [-7 +/-  √(7^2 - 4*2*2)] / 2*2

x = -7/4 +/- √(33) / 4

=  (-7 +/-√33) / 4

7 0
3 years ago
Urgent
Damm [24]

The result of our calculations about the rate and time are:

  • r=d/t
  • 200000m/hr
  • 200km/hr
  • km/hr

<h3>What is rate?</h3>

Rate can be regarded as the given object with respect to time.

falcon flies= 800,000 meters

t= 4 hours

We were given the  formula as (d = rt)

d= distance

r = rate

t = time

We can make our calculations as:

part a:

r=d/t

part b:

falcon's rate in meters per hour = 800,000 meters / 4 hours = 200000m/hr

part c:

falcon's rate in kilometers per hour=(200000m/hr *(1/1000)=200km/hr

part d:

km/hr

Learn more about rate at:

brainly.com/question/8728504

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4 0
2 years ago
United Blood Services is a blood bank that serves more than 500 hospitals in 18 states. According to their website, a person wit
Anna11 [10]

Answer:

a) 0.06 = 6% probability that a person has both type O blood and the Rh- factor.

b) 0.94 = 94% probability that a person does NOT have both type O blood and the Rh- factor.

Step-by-step explanation:

I am going to solve this question treating these events as Venn probabilities.

I am going to say that:

Event A: Person has type A blood.

Event B: Person has Rh- factor.

43% of people have type O blood

This means that P(A) = 0.43

15% of people have Rh- factor

This means that P(B) = 0.15

52% of people have type O or Rh- factor.

This means that P(A \cup B) = 0.52

a. Find the probability that a person has both type O blood and the Rh- factor.

This is

P(A \cap B) = P(A) + P(B) - P(A \cup B)

With what we have

P(A \cap B) = 0.43 + 0.15 - 0.52 = 0.06

0.06 = 6% probability that a person has both type O blood and the Rh- factor.

b. Find the probability that a person does NOT have both type O blood and the Rh- factor.

1 - 0.06 = 0.94

0.94 = 94% probability that a person does NOT have both type O blood and the Rh- factor.

6 0
2 years ago
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Black_prince [1.1K]

Answer:

C) 1 quart

Step-by-step explanation:

5 0
2 years ago
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Yuki888 [10]
The right multiplier is 1.03. Because x*1.03=x*(1+.03)=x+.03x
And .03x is exactly  3% of x.
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3 years ago
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