The population of a town was 89,443 in 1990 and then has increased at a rate of 0.6% per year since then. Which function represents the town's population t years after 1990?
Answers
Answer:
Step-by-step explanation:
In this problem we have a exponential function of the form
where
f(t) is the population of a town
t is the number of years since 1990
a is the initial value
b is the base
r is the rate
b=(1+r)
we have
substitute
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Identify which table shows a direct variation Both tables Table 1 Table 2 Neither table Table 1 X 3 4.5 7 Y 7.5 11.25. 17.5 Table 2 X 1.5. 8 13. Y 3. 12. 19.5
b.5
c.6
d.8
Answers
42/5=8.4
42/6=7
42/8=5.25
The only one that is a whole number is 6. Jerry bought 6 shirts at 7$ each.
Answers
Answers
We know that in x hours it will advance by x*5.5 km.
Hence we need to solve x*5.5=82.5, hence x=82.5/5.5=15
It will take 5 hours
Answer: It will take 5 hours.
Answers
If we have the expression 2b = -3, then the value of the expression 1 - 4b is 4.
Step 1: Solving for 'b'
We are given the equation 2b = -3. To isolate 'b,' we need to get rid of the coefficient 2 attached to 'b'. To do that, we'll divide both sides of the equation by 2:
2b / 2 = -3 / 2
b = -3/2
Step 2: Substitute 'b' in the expression 1 - 4b
Now that we have the value of 'b' as -3/2, we can substitute it into the expression 1 - 4b:
1 - 4(-3/2)
Step 3: Simplify the expression
To simplify the expression, we'll perform the multiplication first:
1 + 6/2
Next, we add 1 and 6/2:
1 + 3 = 4
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Answer:
Step-by-step explanation:
2b= -3, what is the value of 1 – 4b?
2b= -3
b = -3/2
Then 1 - 4b
= 1- 4(-3/2)
= 1+12/2
= 1+ 6
= 7
Answers
x = (80)(0.24)
x = 19.2
Therefore, the number that is 24% of 80 is equal to 19.2.
Answers
Find 4/5 of 500.
4/5*500=400
You will roll 400 sixes.
Final answer:
Given a biased dice with a probability of 4/5 to show a 6, one would expect to roll a six around 400 times in 500 rolls. This calculation is based on the concept of expected value in probability theory. However, the actual outcome can vary due to randomness.
Explanation:
The student's question deals with the concept of expected value in probability theory. The expected value is calculated by multiplying each possible outcome by their respective probability and then adding these values.
In this scenario, with the dice having a probability of 4/5 to show a 6 on every roll, the expected value of 500 rolls would be: 4/5 * 500 = 400.
That means, if you roll the dice 500 times, you would expect to roll a six around 400 times.
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