All categories

3 years ago

The population of Smallville can be found by the equation Pt) = le", where P(t) is the

Mathematics

1 answer:

pashok25 [27]3 years ago

7 0

Answer:

The population of the town in the year 1962 will be 1730.

Step-by-step explanation:

The population of Smallville can be found by the equation $P(t) = Ie^{rt}$ , where P(t) is the population at time t, r represents the rate of growth, and I is the initial population.

Now, if there are 225 residents in 1950 and the population of the town grows at a rate of 17% per year, then the population of the town in the year 1962 will be $P(12) = 225 e^{0.17 \times 12} = 1730$ (Approximate)

You might be interested in

Rob buys 6 tickets to the basketball game. He pays$8.50 for parking. His total cost is $40.54. What is the cost of each ticket?

Bezzdna [24]

Answer:

Step-by-step explanation:

26.04

7 0

3 years ago

Explain how to add fractions with unlike denominators. Please be as specific as possible.

Gelneren [198K]

Answer:

Look below

Step-by-step explanation:

So I will use an example to try and show you how to do this.

If we have $1/2 + 1/3$ , we know that we don't have like denominators. We can change this by finding one. All we need to do is multiply our denominators. So in our example, that would be $2*3=6$ . Our new denominator would be 6. So now we would have $1/6 + 1/6$ which isn't the same as our old equation. That is because we haven't multiplied our top numbers yet. To do this, we need to multiply the top number by the opposite denominator like so, $3/6+2/6$ .

So our first fraction was

$1/2+1/3$

We then multiplied the whole fraction by the opposite denominator

$3/6+2/6$

Thanks! Hope you choose me for brainliest!!! Have a nice day!

5 0

2 years ago

Determine whether the following statements are true and give an explanation or a counter example. a. The Trapezoid Rule is exact

Norma-Jean [14]

Answer:

statement is TRUE

statement is FALSE

statement is TRUE

Step-by-step explanation:

(a)

By using the Trapezoidal Rule, the definite integral can be computed by applying linear interpolating formula on each sub interval, and then sum-up them, to get the value of the integral

So, in computing a definite integral of a linear function, the approximated value occurred by using Trapezoidal Rule is same as the area of the region. Thus, the value of the definite integral of a linear function is exact, by using the Trapezoidal Rule.

Therefore, the statement is TRUE

(b) Recollect that for each rule of both the midpoint and trapezoidal rules, the number of sub-internals, n increases by a factor of a. then the error decreases by a factor of a^2.

So, for the midpoint rule, the number of sub-intervals, n is increased by a factor of 3, then the error is decreased by a factor of 32 = 9, not 8. Therefore, the statement is FALSE

(c) Recollect that for each rule of both the midpoint and trapezoidal rules, the number of sub-internals, n increases by a factor of a. then the error decreases by a factor of a^2.

So, for the trapezoidal rule, the number of sub-internals, n is increased by a factor of 4. then the error is decreased by a factor of 42 = 16

Therefore, the statement is TRUE

3 0

2 years ago

A Right Triangle (ABC) has sides measuring 3 inches and 4 inches. The hypotenuse is 5 inches. A similar right triangle (A'B'C')

fenix001 [56]

Answer:

The length of hypotenuse is 12.5

Step-by-step explanation:

First 7.5 x 7.5 = 56.25

Then 10 x 10 = 100

Add them together 56.25 + 100 = 156.25

Then square root 156.25 and you get 12.5

8 0

3 years ago

Read 2 more answers

HELP PLEASE!!!!

mina [271]

Answer:

Step-by-step explanation:

1) Write 8x+14 as 2(4x+7) and now multiply by 1/2 so that we get 4x+7

2)Subtract 7 from both sides

4x+7=39

-7 -7

4x=32

3) Divide by 8

x=8

Thus we get x=8 as answer

So reasons are

i) Distributive property

ii) Subtraction property of equality

iii) Division property of equality

6 0

2 years ago

Read 2 more answers