Answer:
28 weeks
Step-by-step explanation:
She starts with $500.
She adds $40 per week. In w weeks, she adds 40w.
After w weeks, she has 500 + 40w.
The total must equal $1620.
500 + 4w = 1620
Subtract 500 from both sides.
4w = 1120
Divide both sides by 40.
w = 1120/40 = 28
Answer: 28 weeks
The number of bacteria in a culture is growing at a rate of 3,000e^(2t/5) per unit of time t. At t=0, the number of bacteria present was 7,500. Find the number present at t=5.
Answer: 7,500e^2
<span>42x^3+21x^2-35x divided by 7x comes out to
42x^3 21x^2 35x
-------- + --------- - --------
7x 7x 7x
Reducing these 3 fractions, we get 6x^2 + 3x - 5 (answer)</span>
To solve this problem we use the z statistic. The formula
for z score is:
z = (x – u) / s
where,
x = sample value mean = 178 – 0.56 = 177.44 mm
u = total sample mean = 178 mm
s = standard deviation = 12 mm
z = (177.44 – 178) / 12
z = -0.05
from the tables P (z = -0.05) = 0.484
So the probability P is: [multiply by 2 since we account the two sides)
<span>P = (0.5 – 0.484) * 2 = 0.0320</span>
