We are given the following data:
Year Estimated Population
0 100
1 79
2 62
3 49
4 39
Just by looking at the data we can see that the relationship of year and estimated population is not linear. The decrease in the population does not follow a linear path, that is:
79 – 100 is not equal to 62 – 79
-21 is not equal to -17
Therefore, the relationship must be exponential. Let us find the common ratio by dividing the population in year 1 and year 0:
common ratio, r = 79 / 100 = 0.79
This means that the population decreases by 21% every year.
So the model for this data can be written as:
yn = y0 * r^n
Where,
yn = is the population after n years
y0 = initial population
r = growth rate = decreasing
n = number of years
Evaluate ƒ(x) when x = -10
16
No solution
-7
-24
Answer:
NO SOLUTION Answer B
What is the equation of the following graph in vertex form? parabolic function going down from the left through the point negative four comma zero and turning at the point negative three comma negative one and going up through the point negative two comma zero and then through the point zero comma eight and continuing up towards infinity
Evaluate for C=3 and d=-5
(3c^2-3d)^2-1000
The point (0, 2) is the only solution to the system of linear equations that contains the equations
y = x + 2 and y = -3x + 2. Choose the term that describes the set of equations.
Which expression is equivalent to 17x − 8x + 2 and why?
2 − 9x, because (17x − 8x) + 2 = −9x + 2 = 2 − 9x
2 + 9x, because (17x − 8x) + 2 = 9x + 2 = 2 + 9x
11x, because 17x − 8x + 2 = 9x + 2 = 11x
7x, because 17x − 8x + 2 = 17x − 10x = 7x
Answer:
2 + 9x, beacuse (17x - 8x) + 2 = 9x+2
Step-by-step explanation:
Combine like Terms: 17x - 8x + 2=
9x+2
A number is multiplied by 2, and then the product is added to 9. The result is 49.
ASAPPPP!! Which statement best demonstrates why the following is a non-example of a polynomial? 33 over 16 xy − 62y−2xz − 35z2y2
A.The expression has a variable raised to a negative exponent.
B.The expression has a negative coefficient.
C.The expression has a variable raised to a fraction.
D.The expression has a variable in the denominator of a fraction.
f(x) = 7x − 13. Find f−1(x).
A window has the shape of a rectangle with a semi circle at the top. Find the approximate area of the window using the dimensions shown.
2ft by 4ft
The approximate area of the window is 9.57 ft²
The figure is a composite shape. Therefore, the area can be described as follows:
Area of the composite shape:area = area of semi circle + rectanglearea of a rectangle = lw = 4 × 2 = 8 ft²
area of the semi circle = 1 / 2 πr² = 1 / 2 × π × 1² = 1.57 ft²
Therefore,
area of the window = 8 + 1.57 = 9.57 ft²
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can a vertical line be written in slope intercept form
I have attached my explanation in green for you below.
I have also attached an example above.
Simplify negative 6 over 3 divided by 2 over negative 9.
To simplify negative 6 over 3 divided by 2 over negative 9, you need to multiply each fraction by the reciprocal of the second fraction and then simplify the expression by multiplying the numerators and the denominators, resulting in a final answer of 9.
Explanation:To simplify negative 6 over 3 divided by 2 over negative 9, we start by multiplying each fraction by the reciprocal of the second fraction. So, the expression becomes:
-6/3 × -9/2
Next, we multiply the numerators and the denominators:
(-6 × -9) / (3 × 2)
Simplifying further, we get: 54 / 6
Finally, we divide 54 by 6 to get the simplified answer: 9
Why is it important to have categories of numbers in to know which category you're doing with the given expression
A way to categorize information and point you to where to find that information is called the table of contents. It contains the chapters of the topic and its corresponding subtopic. It depends on the length of the topic of that book or section. It is located at the first few pages of the book or other reading material.
Evaluate ab for a = 2 3/4 and b = 4/5
Sara used 3/4 pound of blueberries to make 1/2 cup of jam how many pounds of blueberries would she need to. make a cup of jam
she used 3/4 pound for 1/2 cup
so multiply 3/4 pounds for 1 cup
3/4 x 2 = 1 1/2 pounds
what is 9 hours from now
HURRY!!!What is the sum of the measures of the interior angles of a 12-gon?
1. 1620
2. 1800
3. 1980
4. 2160
If carpeting is sold at $4.50 per yard, what would 5 1/2 yards cost?
A fabric store has 80 3/8 yards of a particular fabric. About how many pairs of curtains could be made from this fabric if each pair requires 4 1/8 yards of fabric? But My Answers are 20,25,15,and 30 Please Help Me?
A cell phone company charges by the minute (and partial minute) for a phone call. Arionna’s plan includes 300 minutes in the $20 base cost. If she uses more than 300 minutes, there is a $5 overage fee and an additional charge of $0.25 per minute. draw a graph to represent it
The cell phone charges is an illustration of a piecewise function represented as: y = 20; x <=300 and y = 0.25x- 50; x > 300
How to draw the graph?When the number of minutes is not more than 300 minutes, the charge is:
y = 20; x <=300
When it is above 300, the function is:
y = 20 + 5 + (x - 300) * 0.25
Open the bracket
y = 20 + 5 + 0.25x - 75
Evaluate the sum
y = 0.25x- 50
So, the piecewise function is:
y = 20; x <=300
y = 0.25x- 50; x > 300
See attachment for the graph
Read more about piecewise functions at:
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Find the future value and interest earned if $8906.54 is invested for 9 years at 6% compounded continuously
For an investment of $8906.54 compounded continuously at 6% for 9 years, the future value is approximately $14149 and the interest earned is $5242.46.
Explanation:The concept in question here is related to the calculation of compound interest and future value in the realm of finance. Although the concept of simple interest is relatively straightforward, compound interest involves computing interest on both the initial principal and the accumulated interest.
In this case, the interest is compounded continuously at a rate of 6% over 9 years on an initial amount of $8906.54. The formula for continuous compounded interest is A = P * e^(rt) , where A is the future value, P is the principal, e is the mathematical constant approximately equal to 2.71828, r is the interest rate (in decimal form), and t is the time in years.
To find the future value: A = $8906.54 * e^(0.06*9) = $14149. Therefore, the future value of the investment is approximately $14,149.
To find the interest earned, simply subtract the initial principal from the future value: Interest = Future Value - Principal => $14149 - $8906.54 = $5242.46. Therefore, the interest earned over this period is approximately $5242.46.
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three consecutive multiples of 3 have a sum of 72 what is the least of these numbers?
How to find the y intercept when the slope is a fraction
The annual Gross Domestic Product (GDP) of a country is the value of all of the goods and services produced in the country during a year. During the period 1985-1999, the Gross Domestic Product of the United States grew about 3.2% per year, measured in 1996 dollars. In 1985, the GDP was $577 billion. I what year did/or will the GDP equal $1.8 trillion?
Solve the equation
-3x+1+10x=x+4
In one week a gas station sells 1,250 gallons of gas. On average, how many quarts did they sell each day during that week? Round your answer to the nearest hundredth. Hint: there are 4 quarts in a gallon.
Answer:
the actuall awnser is 714.28
Step-by-step explanation:
1250*4=5000
5000/7=714.28
Answer:
the gas station sold 714.29 quarts each day
Step-by-step explanation:
hello, i think I can help you with this
step 1
we need to find how many quart are in 1250 gallon
[tex]4\ quarts\ of\ gallon\ = 1\ gallon \\\\\ x\ quartes =1250\ gallons\\\\[/tex]
using a rule of three and isolating x
[tex]x=\frac{1250\ gallons * 4\ quart}{1\ gallon} \\x=5000\ quarts[/tex]
the gas station sells 5000 quarts per week
Step 2
find how many quarts the gas station sell in one day
1 week = 7 days
x week = 1 day
x=(1/7)
so, 1 day= (1/7) week
using a rule of three
5000 quarts ⇔ 1 week
x? quarts ⇔ (1/7) week
[tex]x=\frac{5000*\frac{1}{7} }{1\ week} \\\x=714.285\ quarts\\[/tex]
the gas station sells 714.29 quarts each day
Have a great day
Translate the sentence into an inequality.
The product of y and 8 is greater than or equal to 21.
Is 7040 yards more than or less then 4 miles
A football player took forward and backward steps of equal length during the play.After taking 14 steps total , he was back at his starting position. How many steps did the football player take in the forward and backward directions? A.6steps forward and 8 backward B.7 forward 7 backward C.8 forward and 6 backward D.5 forward and 9 backward. I believe its B not sure
Answer:
the correct answer is B.
(Brainliest would also help)
;)
Ron paid $799.99 per laptop for three laptops and a flat rate fee for antivirus installation for a total bill of $2,529.57 at Gigahertz Computers. Jerry paid $777.16 per laptop for three laptops plus a per laptop antivirus installation fee for a total bill of $2,481.42 at TechZone Computers. What is the difference in the amounts they paid for the antivirus installation charges?
Final answer:
To find the difference in the amounts they paid for the antivirus installation charges, we need to subtract the amount Jerry paid from the amount Ron paid. The difference is $751.84.
Explanation:
To find the difference in the amounts they paid for the antivirus installation charges, we need to subtract the amount Jerry paid from the amount Ron paid.
Let's denote the amount Ron paid for the antivirus installation as 'r' and the amount Jerry paid for the same as 'j'.
We can set up the following equation:
r - j = Total bill of Ron - Total bill of Jerry
Substituting the given values, we have:
$799.99 - j = $2529.57 - $2481.42
$799.99 - j = $48.15
Now, we can solve for 'j'.
j = $799.99 - $48.15
j = $751.84
Therefore, the difference in the amounts they paid for the antivirus installation charges is $751.84.
alicia bough 3.8 pounds of cashews for 15.74 about how much was cost per pound