A country's population in 1991 was 48 million. In 2002 it was 51 million. estimate the population in 2008 using the exponential growth formula. Round to nearest million.
Answer:
53 Million
Step-by-step explanation:
In 1991: t = 0 and A = 45 million
In 2002: t = 11 and p = 51 Million
You're Solving For k:
P = [tex]Ae^{kt}[/tex] In(1.0625) - In( [tex]e^{k*11}[/tex] )
51 = [tex]48^{k*11}[/tex] 0.0606 = k * 11
1.0625 = [tex]e^{k*11}[/tex] 0.0055 ≈ k
In 2008: t = 17
P = [tex]Ae^{kt}[/tex]
P = [tex]48e^{0.0055*17}[/tex]
P = [tex]48e^{0.094}[/tex]
P = 48*1.0986
P ≈ 52.71466 million as the population
P ≈ 53 Million If Rounded
Express the volume of each cube as a monomial m
It's a cube with 4r^3s help
The volume of a cube with a side length of [tex]4r^3s[/tex] is a monomial expressed as[tex]64r^9s^3[/tex], derived by cubing the side length according to the formula for the volume of a cube.
To express the volume of a cube with the side length[tex]4r^3s[/tex] as a monomial, we use the formula for the volume of a cube, which is [tex]Volume = side^3[/tex]. Therefore, for a cube with side length [tex]4r^3s[/tex], the volume V can be calculated as follows:
[tex]V = (4r^3s)^3 = 4^3 \times (r^3)^3 \times s^3 = 64 \times r^9 \times s^3[/tex]
This simplifies to V = 64r^9s^3, which is the monomial representing the volume of the cube.
Use the grid to create a model to solve the percent problem. What is 40% of 30? 2 5 10 12
The answer is 12. Hope this helps
Max drives 348 miles in 6 hours. if Max drives at a constant speed. How many miles does he drive per hour?
After the expression (x^16)3/4 is simplified as much as possible, x is raised to what exponent?
Katie is building a rectangle wall.the wall will be 332 bricks wide and 39 bricks tall. She has 15000 bricks.does she have enough bricks to build the wall?explain. Show your work
Round 13.989 to the nearest tenth
Write the decimal 0.25 in words
The decimal 0.25 can be written in words as zero point two five or twenty five-hundredths .
To understand the value of 0.25 in terms of tenths and hundredths, let's break it down:
The digit 2 is in the tenths place, and it represents two tenths ( 2 / 10 ) or 0.2.
The digit 5 is in the hundredths place, and it represents five hundredths ( 5 / 100 ) or 0.05.
So, in terms of tenths and hundredths, 0.25 can be expressed as zero point two five, where the 2 represents two tenths and the 5 represents five hundredths twenty five-hundredths.
To know more about decimal click here :
https://brainly.com/question/29280965
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Evaluate the expression. Enter your answer in the box. 2³ =
The quotient of 25 and t plus 6 is the same as twice t plus 1. Turn into equation!
Answer: The answer would be 25/t + 6 = 2t + 1
Write 4,857 in words
-24/7 divide long divison enter your answer as mixed number in simplified form
Rectangle A′B′C′D′ is the image of rectangle ABCD after a dilation. What is the scale factor of the dilation?
The scale factor is 3.
For this question you have to solve for c and show work
Mrs. Sanchez is given a $550 hiring bonus with a new job. She earns an average commission of $275 per week for the year. If $68 is subtracted each week for taxes and benefits, how much does she earn in commissions and bonus for the year?
Mrs. Sanchez earns a total of $11,314 in commissions and bonus for the year, calculated by adding her annual net commission of $10,764 to her hiring bonus of $550.
How much Mrs. Sanchez earns in commissions and bonus for the year:
1: Calculate her weekly net commission.
She earns $275 per week in commission.
However, $68 is deducted for taxes and benefits, leaving her with:
Weekly net commission = $275 - $68 = $207
2: Calculate her annual net commission.
Assuming she works 52 weeks a year (standard for full-time employment):
Annual net commission = $207/week * 52 weeks/year = $10,764
3: Add the hiring bonus to her net commission.
Her total earnings from commissions and bonus are:
Total earnings = $10,764 + $550 = $11,314
Therefore, Mrs. Sanchez earns $11,314 in commissions and bonus for the year.
−20≤5/9(F−32)≤−15 I don't have a calc. for fractions, its at school
The simplified form of the inequality expression is −4 ≤ F ≤ 5
Using the inequality expression given:
−20≤5/9(F−32)≤−15multiply through by 9
−180 ≤ 5 (F−32) ≤ -135
−180 ≤ 5F - 160 ≤ -135
Add 160 to all sides of the expression
−20 ≤ 5F ≤ 25
divide through by 5 to isolate F
−4 ≤ F ≤ 5
The simplified form of the inequality expression is −4 ≤ F ≤ 5
Complete Question:
Simplify the inequality: −20 ≤ 5/9(F−32) ≤ -15
Identify the inequality that represents the following problem. One less than twice a number is no less than five. What is the solution set?
1 - 2n ≥ 5
2n - 1 ≥ 5
2n - 1 > 5
1 - 2n > 5
Answer:
1 - 2n > 5. The solution set is (-∞, -2)
Step-by-step explanation:
We are dealing here with two problems:
First, to determine which mathematical statement represents "One less than twice a number is no less than five".Second, solve n, that is, the solution set for the numbers that solve the inequality.First Part: Identifying the inequality"One less than twice a number" can be written as [tex]\\1 - 2n[/tex], where n is the unknown number.
If it is not less than five, thus it is greater (no less) than five. Then, the symbol here is " > " (greater).
As a result: "One less than twice a number is no less than five" could be rewritten as "One less than twice a number is greater than five", or:
[tex]\\1 - 2n > 5[/tex].
Second Part: Finding the solution setThe solution set for this inequality is as follows:
[tex]\\ 1-2n > 5[/tex] ⇒
Subtract -1 from each member of the inequality:
[tex]\\ 1-1-2n>5-1 [/tex] ⇒ [tex]\\ -2n>5-1[/tex] ⇒ [tex]\\ -2n>4 [/tex]
Multiply each member of the inequality by [tex]\\-\frac{1}{2}[/tex] (or divide each member by -2). We have to remember here that when we multiply or divide an inequality by a negative number (-n), this inverts the inequality, that is:
[tex]\\ -\frac{1}{2}*(-2)*n< -\frac{1}{2}*4 [/tex]
[tex]\\ 1*n< -\frac{1}{2}*4 [/tex]
[tex]\\ n < -2 [/tex]
The solution set is then [tex]\\ n< -2 [/tex], which is any value less than -2 (not including -2, because is < and not ≤), and we have infinite negative numbers with such a characteristic. We can write it mathematically as an interval notation:
Solution set for [tex]\\1 - 2n > 5[/tex] is [tex]\\ (-\infty, -2)[/tex].
I need to find the value of each variable.
Three students are arguing over who can run the fastest. Student A says that she can run 2/3 mile in six minutes. Student B says that he can run 1/2 mile in four minutes. Student C says that he can run 4/5 mile in eight minutes. What fraction of a mile can Student C run in one minute?
solve for M
5 + 2m = 3 + m
m = ??
Daryl drew a square with a side length equal to 4 inches. Larry drew a square with a side length equal to 5 inches. What is the difference between the two perimeters?
You are adding two rational numbers with different signs.how can you tell if the sum will be postitive a negative or zero?
I NEED THIS QUICKLY 3(x+4)-4=2(x+4) +x
98 is what percent of 2487
an art dealer makes a 17.5 percent commission on every painting sold if a painting sold for 1,500 dollars what was the commission
Mr. Hollins determined that he gives away $800 each month. If he gives away 16% of his budget, how much is his overall budget? Please show your work...
Answer:
Find out the how much is his overall budget .
To prove
Let us assume that the overall budget of Mr.Hollins be x.
As given
Mr. Hollins determined that he gives away $800 each month.
If he gives away 16% of his budget.
16% is written in the decimal form.
[tex]= \frac{16}{100}[/tex]
= 0.16
Than the equation becomes
x × 0.16 = 800
[tex]x = \frac{800}{0.16}[/tex]
x = $5000
Therefore the overall budget of Mr.Hollins be $5000 .
plz answer fast. Helena has saved $595 to put toward snowboarding equipment and lift tickets at the hill. Each lift ticket costs $35. If she wants to have more than $420 of her savings left to spend on equipment, which inequality represents the number of lift tickets she can buy?
She can buy 4 tickets
Answer:
Its B, ≤ 4
Step-by-step explanation:
What's 4+ -1 1/3 as a fraction in simplest form
how can you compare and order rational and irrational numbers
To compare and order rational and irrational numbers, convert rational numbers to decimals and compare them directly, and for irrational numbers, compare their approximate decimal values.
Comparing and ordering rational and irrational numbers involves understanding their magnitude on the number line.
Let's compare 3 rational and irrational numbers: [tex]\( \frac{5}{3} \), \( \sqrt{2} \), and \( -\frac{4}{7} \).[/tex]
1. [tex]\( \frac{5}{3} \)[/tex] is a rational number, as it can be expressed as a fraction.
2. [tex]\( \sqrt{2} \)[/tex] is an irrational number, as it cannot be expressed as a fraction.
3. [tex]\( -\frac{4}{7} \)[/tex] is a rational number, a negative fraction.
To compare them:
1. [tex]\( \frac{5}{3} = 1.67 \)[/tex]
2. [tex]\( \sqrt{2} = 1.414 \)[/tex]
3. [tex]\( -\frac{4}{7} = -0.57 \)[/tex]
Ordering them:
[tex]\( -\frac{4}{7} < \sqrt{2} < \frac{5}{3} \)[/tex]
Calculation:
1. [tex]\( \frac{5}{3} = 1.67 \)[/tex]
2. [tex]\( \sqrt{2} = 1.414 \)[/tex]
3. [tex]\( -\frac{4}{7} = -0.57 \)[/tex]
Order: [tex]\( -\frac{4}{7} < \sqrt{2} < \frac{5}{3} \)[/tex]
So, [tex]\( -\frac{4}{7} \)[/tex] is the smallest, followed by [tex]\( \sqrt{2} \)[/tex], and [tex]\( \frac{5}{3} \)[/tex] is the largest. This is because irrational numbers lie between rational numbers and have a greater magnitude.
Complete Question:
How can you compare and order rational and irrational numbers ?
Roni and Allie are mowing the grass at the soccer field. Roni has a riding lawn mower and can mow the field in 30 minutes. Allie is pushing a lawn mower and can mow the field in 75 minutes.
If Roni and Allie work together to mow the field, what part of the field would Roni mow?
roni 1/30 t 1/30t
allie 1/75 t 1/75t
If Roni and Allie are working together, Roni will mow .71 of the field.
in a chart, Roni's rate would be 1/30 and Annie's rate would be 1/75.
both of thier times would be x
and the part of field mowed would be 1/30x for Roni and 1/75x for Annie.
the answer is .71
hope this helps :)