![20alondra04](/avatars/11763.jpg)
20alondra04
11.11.2019 •
Mathematics
10. a bacteria is growing continually at a rate of 2.34% per hour. if the bacteria is first found
to be 850mg, in how many hours will it take to reach 1000mg?
Solved
Show answers
More tips
- F Family and Home Is It Worth Spoiling a Child?...
- S Society and Politics Will Japan become Russia s Military Enemy?...
- P Philosophy Is Everything We Strive for Eventually Achieved and Destroyed?...
- S Society and Politics Understanding Politics and Its Role in the Development of Civilization...
- P Philosophy Why Did God Create Man and Place Him in Obscurity?...
- S Society and Politics Skoptsy: Who They Are and How They Perform Castration?...
- O Other Childhood Fears: What Many of Us Experienced...
- P Philosophy What is Something for you?...
- H Health and Medicine Why Do Humans Have One Heart?...
- P Philosophy Unbelievable stories of encounters with otherworldly forces...
Answers on questions: Mathematics
- M Mathematics Christina grew 2,622 plants with 38 seed packets. With 70 seed packets, how many total plants can Christina have in her backyard? Solve using unit rates....
- M Mathematics What is the equation of a line with a slope of -8 and y-intercept of 5...
- M Mathematics Aye its 2020 can you still let out that antidote?...
- M Mathematics What equation has the solution to X= -3...
- M Mathematics The support for a drop tower ride is shown in the diagram. What is the width of the support?...
- M Mathematics PLEASE SHOW YOUR WORK! 30 POINTS, DUE TODAY PLS I BEG YOU HELP :(...
- M Mathematics Solve for x: 7x + 8 = 3x - 4...
- M Mathematics Jan bought 2 novels regularly priced at $24 and $18. Then reduced by 25%. What did she save?...
- M Mathematics Solve the proportion. 6/8=y/12...
- M Mathematics I GIVE BRAILILSET\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\...
Ответ:
The time to reach 1000 mg is 7 hours
Step-by-step explanation:
Given as :
The rate at which bacteria growing = 2.34% per hour
The initial amount of bacteria = 850 mg
The final amount of bacteria = 1000 mg
Let The time period fro bacteria growing = T hours
Now, Final value = Initial value ×![(1 + \frac{Rate}{100})^{Time}](/tpl/images/0368/8780/3feef.png)
Or, 1000 mg = 850 mg ×![(1 + \frac{2.34}{100})^{T}](/tpl/images/0368/8780/411c7.png)
Or,
= ![(1 + \frac{2.34}{100})^{T}](/tpl/images/0368/8780/411c7.png)
Or, 1.1764 =![(1 + \frac{2.34}{100})^{T}](/tpl/images/0368/8780/411c7.png)
Or, 1.1764 =![(1.0234)^{T}](/tpl/images/0368/8780/c51ca.png)
Or, Taking log both side
log(1.1764) = log (
)
Or, 0.07055 = T × 0.01004 (
)
∴ T = 7.026 hour or T ≈ 7 hours
Hence The time to reach 1000 mg is 7 hours Answer
Ответ:
C≈37.7 d Diameter 12