Answer:
C. 270 grams
Step-by-step explanation:
-This is an exponential growth function which can be expressed using the formula:
Where:
is the size at time t.
is the initial size
is the growth rate 
is the time
Given the size at t=2 and at t=0, we substitute in the growth function to solve for r:
We use this calculated rate to determine the population at t=6
Hence, the bacteria's size at t=6 is 270 grams
Answer:
60.36 steps West from centre
85.36 steps North from centre
Step-by-step explanation:
<em>Refer to attached</em>
Musah start point and movement is captured in the picture.
- 1. He moves 50 steps to North,
- 2. Then 25 steps to West,
- 3. Then 50 steps on a bearing of 315°. We now North is measured 0°
or 360°, so bearing of 315° is same as North-West 45°.
<em />
<em>Note. According to Pythagorean theorem, 45° right triangle with hypotenuse of a has legs equal to a/√2.</em>
<u />
<u>How far West Is Musah's final point from the centre?</u>
<u>How far North Is Musah's final point from the centre?</u>
Answer:
$7.94
Step-by-step explanation:
We have been given that on January 4, Janelle Ruskinoff deposited $2192.06 in a savings account that pays 5.5 percent interest compounded daily. We are asked to find the amount of interest earned in 24 days.
We will use compound interest formula to solve our given problem.
, where,
A = Final amount after t years,
r = Annual interest rate in decimal form,
n = Number of times interest is compounded per year,
t = time in years.
24 days in years would be 
.
Upon substituting our given values in above formula, we will get:
To find amount of interest earned, we will subtract principal amount from final amount as:
Therefore, her money will earn approximately $7.94 in 24 days.
Answer: the length of the extended ladder is 8√3 feet or 13.9 feet
the distance between the wall and the bottom of the ladder is 4√3 feet or 6.9 feet
Step-by-step explanation:
The ladder forms a right angle triangle with the building and the ground. The length of the ladder represents the hypotenuse of the right angle triangle. The height from the top of the ladder to the base of the building represents the opposite side of the right angle triangle.
The distance from the bottom of the ladder to the base of the building represents the adjacent side of the right angle triangle.
To determine the extended length of the ladder h, we would apply
the Sine trigonometric ratio.
Sin θ = opposite side/hypotenuse. Therefore,
Sin 60 = 12/h
√3/2 = 12/h
h = 12 × 2/√3 = 24√3
h = 24√3 × √3/√3
h = 8√3
To determine the distance between the wall and the bottom of the ladder d, we would apply
the cosine trigonometric ratio.
Cos θ = adjacent side/hypotenuse.
Therefore,
Cos 60 = d/8√3
0.5 = d/8√3
d = 0.5 × 8√3
d = 4√3
Answer: choice D
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Work Shown:
I'm assuming the problem is -4*(1-x) <= -12+2x where the first term is -4 and not 4
-4*(1-x) <= -12+2x
-4*(1-x) <= -12+2x
-4+4x <= -12+2x
-4+4x-2x <= -12+2x-2x
-4+2x <= -12
-4+2x+4 <= -12+4
2x <= -8
2x/2 <= -8/2
x <= -4
To graph x <= -4, you plot a closed circle at -4. Then you shade to the left of the closed circle. This matches with choice D
