Answer: y=C(1+r)t
Step-by-step explanation:
The general exponential growth model is <em>y=C(1+r)t ,</em> where C is the initial amount or number, r is the growth rate (for example, a 2% growth rate means r=0.02 ), and t is the time elapsed.
Example 1:
A population of 32,000 with a 5% annual growth rate would be modeled by the equation:
y=32000(1.05)t
with t in years.
Sometimes, you may be given a doubling or tripling rate rather than a growth rate in percent. For example, if you are told that the number of cells in a bacterial culture doubles every hour, then the equation to model the situation would be: <em>y=C⋅2t </em>(with t in hours).
Example 2:
Suppose a culture of 100 bacteria is put into a petri dish and the culture doubles in size every hour. Predict the number of bacteria that will be in the dish after 12 hours.
P(t)=100⋅2t
P(12)=100⋅212=409,600 bacteria
I'm pretty sure it's C. I've had to do this problem before and I believe that's what I got
Answer:
Area = 13.0900 ft²
Step-by-step explanation:
Area of sector = θ/360 × πr²
We are assuming it's the area of the minor sector that we are asked to find.
Therefore,
θ = 360 - 300 = 60°
r = 5 ft
Plug in the values
Area of minor sector = 60/360 × π × 5²
Area = 13.0899694
Area = 13.0900 ft² (to 4 decimal places)
Let any variable such as x represent the least amount of money that Malcolm needs to deposit. His balance from his checking account is $638.54. Subtract $159.50 from this amount.
With the condition that he must maintain $500, the inequality becomes,
(638.54 - 159.50) + x <span>≥ 500
479.04 + x </span><span>≥ 500
x </span><span>≥ 20.96</span>
Answer:
Both are Scalene right angle triangle 90 °, 58 ° 32°
We know the length of the first triangle has different lengths, just like the other triangle is the same and this has different lengths. This is why we call them scalene right angles, as they both have 90 ° on the corners that went untouched within the rectangle.
Step-by-step explanation:
Lena has drawn a line from one corner of a rectangle to the opposite corner. The lines dividing each of the right angles, being two angles, each measure 32 and 58 which David best describes the resulting triangles.
If two angles are opposite ends one is 32 degree, the other is 58-
Then either triangles for two angles total 90 each and therefore being a rectangle show the rectangle had regular 90 degree corners before being divided. We cna check this as after lines being drawn corner end to its corner opposite we see each have a supplementary angle of 32 or 58 = 90 and 90 should we draw a line from the corner exterior to make a straight line appear longer on each base or its parallel base or top on the opposite corner. As long as they are drawn parallel exterior corner lines and where 90 degree is highlighted looking like L's on each too.
if the triangles are 32 + 58 either end then their 3rd angle on each triangle will be 90 where we call this triangle simply scalene right angle triangle as no sides are the same length within the triangle.
