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
solmaris [256]
3 years ago
11

The amount of bacteria in a Petri dish increases at a rate proportional to the amount present. At time t=0, the amount of bacter

ia in the dish is 10 grams. At time t=2, the amount of the bacteria in the dish is 30 grams. What is the amount of bacteria in the dish at time t=6?
A. 70 grams
B. 190 grams
C. 270 grams
D. 9270 grams
Mathematics
1 answer:
Marina CMI [18]3 years ago
4 0

Answer:

C. 270 grams

Step-by-step explanation:

-The growth of bacteria follows an exponential distribution expressed as:

P_t=P_oe^{rt}

Where:

  • t=time
  • r=rate of growth
  • P_o is the initial size and'
  • P_t is the size at time t

Given the size at time t and time zero, we substitute in the function to calculate the rate of growth r:

30=10e^{2r}\\\\3=e^{2r}\\\\r=\frac{In \ 3}{2}\\\\=0.54931

#we use the calculated rate of growth to determine time at t=6:

P_t=10e^{6\times 0.54931}\\\\\\=270.00625\approx 270\ grams

Hence, the bacteria's size at t=6 is 270 grams

You might be interested in
PLSSS HELP! triple r, then divide 10 by the result
Viefleur [7K]
3r/10? To find that we need an answer to set it equal to
7 0
2 years ago
Can someone help me with number 12 ?
Solnce55 [7]

Answer:

3x= 2y +6

and when we put y = 0

then 3x = 6

x = 6/3

x =2

SECOND one , when we put x = 0

0= 2y +6

-6 = 2y

-6/2= y

-3 = y

3 0
3 years ago
Read 2 more answers
Renita analyzed two dot plots showing the snowfall during the winter months for City A and for City B. She found that the
SCORPION-xisa [38]

Answer:

A) One set of data has more variation than the other.

Step-by-step explanation:

<em> did the test</em>

3 0
3 years ago
Read 2 more answers
The South Company cash account had a balance of $1,202.50 on January 31. A deposit, made on the 31st, in the amount of $100.05 w
labwork [276]

Answer:

$1326

Step-by-step explanation:

Follow the format of the reconciliation statement

The adjusted cash balances should match

Cash balance as per the bank statement, January 31        1421.95

Add: Deposit in transit                                                           100.05

Deduct: Outstanding checks                                                  <u>(196)</u>

Adjusted cash balance                                                            <u>1326</u>

Balance as per depositor's record, January 31                    1202.5

Subtract: NSF check                                                                  (18)

Subtract: Service charges                                                         (8.5)

Add: receivable collected                                                          <u>150</u>

Adjusted cash balance                                                              <u>1326</u>

The reconciled amount is $1326.

!!

8 0
3 years ago
Help plzzz thank you !
VashaNatasha [74]

Answer:

a. Ameribank-$15,157.50

b. Capital Two-$4,646.25

Step-by-step explanation:

a. Tad's savings is $15,000, we calculate his total amount at the end of the year for each bank:

#Ameribank

A=P+I=P+PRT\\\\=15000+15000\times 0.0105\times 1\\\\=\$15,157.50

#Huffington( we use the effective rate to calculate the compound amount):

i_m=(1+i/m)^m-1\\\\=(1+0.0095/12)^[12}-1=0.009541\\\\A=P(1+i_m)^n\\\\=15000(1.009541)^1\\\\=\$15,143.12

#Sixth-Third, Take 1 yrs=52 weeks:

i_m=(1+i/m)^m-1\\\\=(1+0.01/52)^{52}-1=0.01005\\\\A=15000(1.01005)^1\\\\=\$15,150.74

#Hence, Ameribank is the best option as his money grows to $15,157.50 which is greater than all the remaining two options.

b. We use the compound interest formula A=P(1+r/n)^{nt} to determine which bank gives the best option:

#Capital Two. r=3.75%, n=12,t=4

A=P(1+r/n)^{nt}\\\\=4000(1+0.0375/12)^{12\times4}\\\\=\$4,646.25

#J.C Morgan, t=2, r=3.55% n=12

A=P(1+r/n)^{nt}\\\\=4000(1+0.0355/12)^{12\times 2}\\\\=\$4,293.87

#Silverman Slacks, n=12,t=3, r=3.65%

A=P(1+r/n)^{nt}\\\\=4000(1+0.0365/12)^{12\times3}\\\\=\$4,462.14

We compare the investment amounts after t years:

Capital>Silver>Morgan=4646.25>4462.14>4293.87

Hence, Capital two is the best option with an investment amount of $4,646.25

8 0
3 years ago
Read 2 more answers
Other questions:
  • Which statement describes the 8 in the numbers 7,825 and 8,940?
    5·2 answers
  • If y=1/2x+5 then what is 2y+5x=-2
    5·1 answer
  • Multiply 3x^2 (5x^3)
    12·2 answers
  • the formula F=9/5C + 32 changes a temperature reading from the Celsius scale C to the Fahrenheit scale F. What is the temperatur
    14·1 answer
  • Rewrite it as a function and isolate Y. ​
    14·1 answer
  • WILL MARK YOU IF YOU HELP ME PLEASE!!
    5·2 answers
  • PLEASE ANSWER QUICK!
    13·1 answer
  • (SAT Prep) Find the value of x.
    15·1 answer
  • For each babysitting job, Adam charges a fee for his bus fare plus an hourly rate
    9·1 answer
  • Samir also picks pumpkins from his garden. He picked 6 7/10 kg, but 2.6 of pumpkins were spoiled and could not be used for decor
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!