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slavikrds [6]
3 years ago
13

The exponential model A=429e 0.024t describes the​ population, A, of a country in​ millions, t years after 2003. Use the model t

o determine when the population of the country will be 559 million.
Mathematics
1 answer:
d1i1m1o1n [39]3 years ago
7 0

Answer:

Year 2,590

Step-by-step explanation:

In this question, we are asked to calculate the year at which the population of a country will be a certain amount given the exponential equation through which the equation proceeds.

Let’s rewrite the exponential function;

A = 429e^0.024t

Now here, our A is 559,000,000

t is unknown

Let’s substitute this value of A in the exponential equation;

559,000,000 = 429 * e^0.024t

559,000,000/429 = e^0.024t

1,303,030.303030303 = e^0.024t

Let’s take the logarithm of both sides to base e, we have;

ln(1,303,030.303030303) = ln(e^0.024t)

14.08 = 0.024t

t = 14.08/0.024

t = 587 years

Now, we add this to year 2003 and this gives year 2590

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The sale price of every item in a store is 85% of its usual price.
IgorC [24]

Answer:

$25.5

Step-by-step explanation:

To find 85% of $30, we can simply multiply the usual price, $30, by the decimal form of the percentage.

The decimal form of 85% is .85.

Now, multiply.

30*.85=25.5

The sale price of the backpack is $25.5.

Hope this helps!

3 0
3 years ago
Assume the number of pounds of chocolate consumed in a year is equally likely between 20 and 100 pounds. what is the probability
kramer
Because the probability is uniform (equally likely) between 20 and 100 pounds, the probability distribution is uniform between 80 and 100 pounds, with the value 1/(100-20) = 1/80 chocolates/pound.

Let x =  random variable that represents pounds of chocolate consumed.
Therefore
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Answer: The probability is 1/2.
4 0
3 years ago
The formula for the volume of a sphere is a power function:
soldier1979 [14.2K]

Answer:

r≥0

V(r) ≥0

Step-by-step explanation:

V(r) = 4/3 * Pi* r^3

The domain is the input values for r

The radius cannot be less than 0  but can be any number bigger than 0

What is the domain of the function in this situation?

r≥0

The range is the output values for the function or the volume

The volume must be greater than or equal to zero

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7 0
3 years ago
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Is it 80% 70% 50% 60%
nexus9112 [7]

Answer:

50%

Step-by-step explanation:

As there are only two sides of the coin it will be 50% each.

7 0
3 years ago
Is (0, 0) a solution to the equation y = x?
Mandarinka [93]

Answer:

yes

Step-by-step explanation:

if both y and x are 0 than it is true that they equal each other since 0=0

8 0
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