Answer:
1999
Step-by-step explanation:
y = 0.2313(y - 1992)^2 + 2.600(y - 1992) + 35.17
verify with known data point
y = 0.2313(2004 - 1992)^2 + 2.600(2004 - 1992) + 35.17
y = 0.2313(12)^2 + 2.600(12) + 35.17
y = 27.9873 + 28.6 + 35.17
y = 99.6772 which verifies our equation
65 = 0.2313x² + 2.6x + 35.17
0 = 0.2313x² + 2.6x - 29.83
quadratic formula
x = (-2.6 ±√(2.6² - 4(0.2313)(-29.83))) / (2(0.2313))
x = (-2.6 + 5.86) / 0.4626 = 7.05 years
7.05 = y - 1992
y = 1999.05
Answer:
In 17 years time, the initial population of 3400, and growing at a rate of 5% will be ≈ 7792
Step-by-step explanation:
Here we have that the formula for population presented as follows;
Where:
A = Population after growth
P = Original population = 3400
r = 5% = 0.05
t = Time = 17 years
Population growing at a rate of 5% is thus given by the plugging in the above values into the population growth formula thus;
Since we are presenting data relating to number of people, we round alwys down as the statistics should represent the number of whole people on ground.
Therefore, in 17 years time, the initial population of 3400, and growing at a rate of 5% will be ≈ 7792.
Answer:
2.60 hours
Step-by-step explanation:
A hose fills a hot tub at a rate of ,
2.09 gallons ⇒ 1 minute
Now we have to find the time which takes to fill a 327 gallon hot tub.
For that, let the unknown time be x.
So,
2.09 gallons ⇒ 1 minute
327 gallon ⇒ x
Use cross multiplication to find the value of x.
2.09 x = 327 × 1
2.09x = 327
x = 327 ÷ 2.09
x = 156.45 min
Therefore, it takes 156.45 minutes.
But the question is asked for hours.
So,
Let us solve now.
156.45 ÷ 60 = 2.60 hours
Let me know if you have any other questions :-)
Answer:
<h2>120 cm³</h2><h2 />
Step-by-step explanation:
this is a ratio and proportion of two similar solids
vol A = 60 cm³ and A = 3cm
vol B = ? and B = 6 cm
<u> 60 </u> = <u> 3 </u>
B 6
do cross multiply:
3B = 60(6)
B = 120 cm³
therefore, the vo. of B is 120 cm³
Answer:
B: Yes, his claim is reasonable because 90% is in the interval estimate.
Step-by-step explanation:
