1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
andriy [413]
3 years ago
6

The relative growth rate for a certain type of fungi is 70% per hour. A small culture has formed and in just 6 hours the count s

hows to be 54,273 fungi in the culture. What is the initial number of fungi in the culture?
Mathematics
2 answers:
almond37 [142]3 years ago
8 0

Answer: The initial number of fungi in the culture is 2248.

Step-by-step explanation:

Since we have given that

Rate of growth for a certain type of fungi = 70% per hour

Number of hours = 6

Number of fungi = 54,273

So,we  will apply the exponential function :

A=A_0(1+r)^t

Here, A = 54,273

r = 70% = 0.7

t = 6

So, our equation becomes,

54,273=A_0(1+0.7)^6\\\\54,273=A_0(1.7)^6\\\\\dfrac{54273}{1.7^6}=A_0\\\\A_0=2248.48\approx 2248

Hence, the initial number of fungi in the culture is 2248.

Nezavi [6.7K]3 years ago
6 0
54,273 = A * 1.70^6       where A  is the initial number
 A = 54273/1.70^6 =   2248  
You might be interested in
Last year, Philip Rivers' passing percentage was 66%, which means he completed 66% of his
statuscvo [17]

Answer:

363

Step-by-step explanation:

0.66*550=363

8 0
3 years ago
Point Q is the image of Q (-5,1) under a translation by 6 units to the right and 2 units down.
Alex787 [66]

Answer:

(1,-1)

Step-by-step explanation:

The graph is being shifted 6 units to the right which affects the x-value and it is also being affected 2 units down which affects the y-value.

6 0
3 years ago
Which two consecutive whole numbers would 341 be located?
marysya [2.9K]
The first number is 170
The second number is 171
Step-by-step explanation:
Let the first number be x^3 and the second number be x^3+1
The sum of the two is 341
X^3+x^3+1=341
2x^3+1=341
Substrate 1 from both sides
2x^3=341-1
8 0
3 years ago
The sum of the digits of a certain two-digit number is 7. Reversing its digits increases the number by 9. What is the number?
kondaur [170]
10x+y-the\ number\\\\  \left\{\begin{array}{ccc}x+y=7\\10y+x=10x+y+9\end{array}\right
3 0
3 years ago
Read 2 more answers
Tom used 5/8 yard of ribbon to tie weights on the tail of his kite. He cut the length of ribbon in equal pieces that were 1/12 y
sweet [91]
Here is the solution for the given problem above:
Given: 5/8 yard of ribbon = total length of the ribbon
            1/12 yard = length of the ribbon after Tom cut it equally
            ? = number of pieces of 1/12 yard from 5/8 yard
So to divide fractions, here is the solution
5/8 divided by 1/12
5/8 multiplied by 12/1
5x12 is 60
8x1 is 8.
So 60/8 would be 7.5. Therefore, the number of pieces that was cut from the 5/8 ribbon is 7.5. Hope this answer helps.
7 0
2 years ago
Read 2 more answers
Other questions:
  • How to find the volume of a prism
    7·2 answers
  • A rectangle has a perimeter of 68 inches it’s length is 2 inches less than 3 times the width what is the area of the rectangle
    12·1 answer
  • A baby is born having a mass of 3,000 grams and gains 200 grams in the following week. How much does the baby weigh one week aft
    14·2 answers
  • It is known that the life of a particular auto transmission follows a normal distribution with mean 72,000 miles and standard de
    10·1 answer
  • 15 pints equal how many cups
    12·2 answers
  • 2(x-4)+?=8x-9 what is the missing polynomial
    14·1 answer
  • 30 POINTS
    10·1 answer
  • Find the area of the triangle below.
    11·1 answer
  • Using the function, g(x) = 5x - 2 and the domain below, state the range.
    12·2 answers
  • Select the correct answer.
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!