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djyliett [7]
2 years ago
9

An experiment requires the population of the bacteria to reach 2 million before the experiment can begin. The reproduction rate

of the bacteria can be modeled by the exponential equation Y= 8 times 7^x. About how many hours X will it take for the bacteria population to reach 2 million?
round your answer the the nearest hour
Mathematics
1 answer:
Furkat [3]2 years ago
6 0

Answer:

about 6 hours

Step-by-step explanation:

8( {7}^{x} ) = 2( {10}^{6} )

{7}^{x}  = 250000

x =  \frac{ ln(250000) }{ ln(7) }  = 6.39

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Calculate the compound interest on an investment of R6500 at 7,5% per annum invested for 3 years​
Lemur [1.5K]

Answer:

Compound interest = Rs 1,575 (Approx.)

Step-by-step explanation:

Given:

Amount invested = R.s 6,500

Rate of interest = 7.5% per annum

Number of year = 3 year

Find:

Amount of compound interest

Computation:

Compound interest = P[(1+r)ⁿ - 1]

Compound interest = 6500[(1+7.5%)³ - 1]

Compound interest = 6500[(1+0.075)³ - 1]

Compound interest = 6500[(1.075)³ - 1]

Compound interest = 6500[1.2423 - 1]

Compound interest = 6500[0.2423]

Compound interest = 1574.95

Compound interest = Rs 1,575 (Approx.)

3 0
3 years ago
Help please with algebra problem
Strike441 [17]
Number of weekend minutes used: x
Number of weekday minutes used: y

This month Nick was billed for 643 minutes:
(1) x+y=643

The charge for these minutes was $35.44
Telephone company charges $0.04 per minute for weekend calls (x)
and $0.08 per minute for calls made on weekdays (y)
(2) 0.04x+0.08y=35.44

We have a system of 2 equations and 2 unkowns:
(1) x+y=643
(2) 0.04x+0.08y=35.44

Using the method of substitution
Isolating x from the first equation:
(1) x+y-y=643-y
(3) x=643-y

Replacing x by 643-y in the second equation
(2) 0.04x+0.08y=35.44
0.04(643-y)+0.08y=35.44
25.72-0.04y+0.08y=35.44
0.04y+25.72=35.44

Solving for y:
0.04y+25.72-25.72=35.44-25.72
0.04y=9.72

Dividing both sides of the equation by 0.04:
0.04y/0.04=9.72/0.04
y=243

Replacing y by 243 in the equation (3)
(3) x=643-y
x=643-243
x=400


Answers:
The number of weekends minutes used was 400
The number of weekdays minutes used was 243
6 0
3 years ago
Solve for the indicated variable.<br> a -c=d-r. for a<br> a=
sveticcg [70]

Answer:

a= d-r +c

Step-by-step explanation:

a-c = d-r

+c

a= d-r +c

6 0
3 years ago
The scatterplot shows the average monthly outside temperature and the monthly electricity cost.
Vanyuwa [196]

Answer: 600

Step-by-step explanation:

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What time is it in eastern time in united states only rob0604 can answer it
wlad13 [49]

Answer:

11:05

Step-by-step explanation:

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