n(t) = 18000^e0.10t would be the function that simulates the population t years after 2013.
What is function?A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). A function is a type of rule that produces one output for a single input. A function is, to put it simply, a connection between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is the input. A function is often represented as y = f. (x).
Here,
initial population, n0 = 18000
rate of growth, r = 10% = 10/100 = 0.10
The function that models the population t years after 2013 would be,
n(t) = 18000^e0.10t
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(3.9×10^6)+(4.1×10^7
Answer: 44900000
Step-by-step explanation:
2) Solve each problem with right angle at C:.
a) Find all sides and angles when B = 67º and c=16.
b) Find all sides and angles when b= 2 and c=6
Answer:
Step-by-step explanation:
a.)
<A = 90 - 67 = 23* A = (a^2 + 14.72^2 = 16^2) = a = 6.25
<B = 67* B = (sin67 = b/16) = sin67*16 = 14.73
<C = 90* C = 16
b.)
a = (a^2 + 2^2 = 6^2) = a = 5. 66 <A = (cosA = 2/6) = 70.53*
b = 2 <B = 90-70.53 = 19.47*
c = 6 <C = 90*
Which answer shows the correct solution for 4(2x + 4) = 10x + 15 - 2x + 12
One Solution
No Solution
Infinite Solutions
Answer:
No solution
Step-by-step explanation:
The two equations will never meet because they have the same slope and diffrent y int.
10. Start with a situation in which there are three 10-year bonds with 0%, 4.00% and 9.00% coupons. The initial market interest rate is 8.22%. The par is $1,000. (a) Find the price of each bond. (6) Suppose the market interest rate now increases to 8.45%. For each bond, find the new price and percentage change in the price. What is the relationship among the bonds in terms of bond price sensitivity, i.e. interest rate risk? (c) Suppose the market interest rate now decreases to 8.05%. For each bond, find the new price, and percentage change in the price as compared to the initial prices found in (a).
Bond A: Price = $614.46, New Price = $595.50, Percentage change = -3.08%, New Price (market interest rate 8.05%) = $637.13, Percentage change (market interest rate 8.05%) = 3.69%.
Bond B: Price = $791.59, New Price = $762.05, Percentage change = -3.73%, New Price (market interest rate 8.05%) = $819.15, Percentage change (market interest rate 8.05%) = 3.48%.
Bond C: Price = $1019.55, New Price = $970.53, Percentage change = -4.81%, New Price (market interest rate 8.05%) = $1053.72, Percentage change (market interest rate 8.05%) = 3.35%. Relationship: Bond C > bond B > bond A.
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Katie has 100 apples, and she plans on eating 2 of them every day.
True or false...the number of apples Katie has left is proportional to the number of days that pass.
Shahina has 550g of apples and plenty of the other ingredients.
Can she make apple crumble for 6 people?
Explain how you got your answer.
By the way for 8 people it is:
700g of apple, 40g butter, 240g sugar and 180g flour
Shahina can make apple crumble for 6 people with 550g of apple
How to determine if she can make apple crumble for 6 people?From the question, we have the following parameters that can be used in our computation:
For 8 people it is:
700g of apple, 40g butter, 240g sugar and 180g flour
This means that the grams of apple for 1 person is
Apple unit rate = 700g of apple/Number of people
Substitute the known values in the above equation, so, we have the following representation
Apple unit rate = 700g of apple/8
For 6 people, we have the following equation
Amount = Apple unit rate * Number of people
Substitute the known values in the above equation, so, we have the following representation
Amount = 6 * 700g of apple/8
Evaluate
Amount = 525g of apple
525g of apple is less than 550g of apple
Hence, she can make apple crumble for 6 people
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please help i’m in a test rn. Consider the geometric sequence -7, 14, -28, .... Select all that apply.
A
The 8th term is –7(-2)
B
The common ratio is 2.
С
The 9th term is greater than the 10th term.
D
The 7th term is 4 times the 5th term.
E
The 5th term of the sequence is -112.
nsweres el dodeel s Step-by-step explanationen
pls find the area of this shape thx
Answer:
20
Step-by-step explanation:
Area = ((7+3) x 4) ÷ 2 = 20
2. You expect next Saturday's sales revenue to be \( \$ \) (First 5 Digits of your Student ID). If your target labour cost percentage is \( 18 \% \), how much money can you spend on labour that day an
Given information: Expected sales revenue = $57756Target labour cost percentage = 18%To find: How much money can you spend on labour that day? Solution: Let's assume the amount that can be spent on labour is x. According to the question, Target labour cost percentage is 18%.
Therefore, the amount that will be spent on labour cost = 18% of expected sales revenue. So, we can write it as:
x = 18% of expected sales revenue orx
= (18/100) × 57756Simplify it
,x = 10396.08 (rounded to two decimal places)Thus, the amount that can be spent on labour that day is $10,396.08.
Shawna and Beatrice, by virtue of their status as the offerees, had the option of accepting or rejecting the offer. The acceptance must meet the requirements of a valid contract.
The acceptance must be communicated clearly and immediately. In addition, the acceptance must conform to the offer's terms. In Hyde v Wrench (1840), the court held that an acceptance must be unconditional and absolute and that if the acceptance is not in line with the terms of the offer, it is a counteroffer that terminates the original offer. Since Shawna and Beatrice had not yet responded to the offer, there was no acceptance of the contract. Therefore, there was no legal agreement between the parties as a contract must have both an offer and an acceptance in order to be considered valid.
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how do you turn 20 into a fraction?
Step by step explaination
Answer:
20 can work as an improper fraction, like 20/1. or you can de-simplify it or whatever it's called and make it like 40/2 or 80/4. Hope this helps. :)
Step-by-step explanation:
p
The answer is \(\frac{40}{2}\) or \(\frac{60}{3}\)
----------------------------------------
\(\frac{20x2}{1x2}\)= \(\frac{40}{2}\)
\(\frac{20x3}{1x3}\)= \(\frac{40}{3}\)
(hope this help you :D)
Find the mode for the sample composed of the observations 4, 5, 6, 6, 6, 7, 7, 8, 8, 5.
In statistics, the mode is the value that occurs most frequently in a dataset. To find the mode for the given sample of observations, we can simply count the frequency of each value and determine which one occurs most often.
The given sample is 4, 5, 6, 6, 6, 7, 7, 8, 8, 5.
The frequency of each value is:4 occurs once
5 occurs twice
6 occurs three times
7 occurs twice
8 occurs twice
The mode is the value that occurs most frequently, which is 6 in this case.
It's worth noting that a dataset can have multiple modes if two or more values occur with the same highest frequency. In this sample, however, 6 is the only value that occurs three times, so it is the only mode.
The mode can be a useful measure of central tendency for skewed datasets or those with outliers, where the mean may not accurately represent the "typical" value.
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What do you have to do to each side to solve 5x < 20?
Solve 5x < 20. ✏️Show your work
Answer:
x < 4
Step-by-step explanation:
Step 1: Write inequality
5x < 20
Step 2: Solve for x
Divide both sides by 5: x < 4Here we see that any number less than 4 will work. So numbers like 3, 0, or even -12587235897 would work.
Bartek was trying his best to obtain an average of 80% in his SUCCESS101 class. During the term Bartek scored 90% on his first assignment thatwas worth 12% of the course final mark. The second assignment, which was worth 20%, Bartek scored only 68%. On his mini-project, worth 5%,Bartek scored 87%. What was Bartek's current grade thus far? Round answer to the one. Do not input the percent (%) into the answer.
Answer:
\(77.7\text{ \%}\)Explanation:
Here, we want to get the current grade
The total grade worth that he has worked on is:
\(\text{ 12\% + 20\% + }5\text{\% = 37\%}\)Now, let us calculate how much of these points he has:
For the 20% worth, he has:
\(\frac{68}{100}\times\text{ 20\% = 13.6 \%}\)For the 12%, we have:
\(\frac{90}{100}\times\text{ 12= 10.8\%}\)For the 5%, he scored 87%, we have it that:
\(\frac{87}{100}\times\text{ 5\% = 4.35\%}\)The total he has now is:
\(4.35\text{ + 10.8 + 13.6 = 28.75\%}\)What this mean is that he has amassed 28.75% out of the total 37%
Now, let us get this percentage
Mathematically, that would be:
\(\frac{28.75}{37}\times\text{ 100 \% = 77.7 \%}\)Lin opened a lemonade stand during the summer. She
noticed that she sold more lemonade on warmer days.
For each day she sold lemonade, she plotted the point
(t,c), where t represents high temperature and c
represents cups of lemonade sold.
b. A computer program found that the line c= 2t - 89
is a good fit for the data. Use this equation to predict
how many cups of lemonade Lin might sell on a day
when the high temperature is 74 degrees.
Use the sketch pad to show or explain your thinking.
Answer:
3
Step-by-step explanation:
Which function is quadratic?
O f(x)
O h(x)
O g(x)
Whoever answers correctly will get Brainliest!!!
Answer:
f(x) is the correct function. f(x) is quadratic.
Answer:
Function f(x) is quadratic because it is a parabola. Parabolas are graphs that show a curve and represent a quadratic function.
What is the area of EFG? ILL GIVE BRAINLIEST!!!!
Answer:
36
Step-by-step explanation:
8*9=72 72/2=36
There are 7 yellow marbles, 6 blue marbles, 5 green marbles and 3 red marbles. What is the probability of drawing a red and then a blue marble
WITHOUT replacement?
Answer:
3/70
Step-by-step explanation:
P(R,B) no replacement: 3/21 x 6/20 = 1/7 x 3/10 or 3/70 reduced
No matter how many peanuts and raisins are exchanged, bob and mark will end up with the same number of each.
The statement implies that no matter how many peanuts and raisins are exchanged between Bob and Mark, they will always end up with an equal number of each. This suggests that the quantity of peanuts and raisins each person initially possesses is irrelevant to the final outcome.
This situation can be illustrated by the concept of a fair trade. If Bob and Mark exchange peanuts and raisins in such a way that the quantity exchanged maintains an equal number of each item for both individuals, the result will always be a balanced distribution.
For example, if Bob initially has 5 peanuts and 3 raisins, and Mark has 2 peanuts and 4 raisins, they can exchange 2 peanuts for 2 raisins. After the exchange, Bob will have 3 peanuts and 5 raisins, while Mark will have 4 peanuts and 2 raisins. The overall result is still an equal number of each item for both individuals.
This statement highlights the idea of fairness in the exchange of goods, where regardless of the initial quantities, the outcome ensures equality between the participants.
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Write an equation of a parabola with the given vertex and focus.
vertex (0,3) , focus (-8,3)
The equation of the parabola with the vertex (0,3) and focus (-8,3) is x² = 32(y-3).
Given that the vertex of a parabola is (0,3) and the focus is (-8,3).
The standard form of the equation of a parabola is given by:
(x-h)² = 4a(y-k),
where (h,k) is the vertex and
"a" is the distance between the vertex and the focus.
Since the vertex is (0,3), we have
h = 0 and
k = 3.
And the focus is (-8,3), so the distance between the vertex and the focus is 8 units (since it is the horizontal distance)
Thus, a = 8.
Using these values, we can write the equation of the parabola as:
(x-0)² = 4(8)(y-3)⇒ x² = 32(y-3)
Thus, the equation of the parabola with the given vertex and focus is x² = 32(y-3).
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What's the slope of the 2 points. (-4,5)(-2,13)
Answer:
Slope is 4
Step-by-step explanation:
m = 4
A rancher sprays 130 gallons of herbicide on 200 acres of pasture to kill
bitter weed. How much does he need for his 250-acre pasture?
Answer:
162.5
Step-by-step explanation:
130/200 = x/250
200x = 32500
x = 162.5
WHAT DOES THIS MEAN?? pls help what do i do with < 8
The value of x=2x-10
What is linear equation?The standard form for linear equations in two variables is Ax+By=C. For example, 2x+3y=5 is a linear equation in standard form. When an equation is given in this form, it's pretty easy to find both intercepts (x and y)From Wolfram MathWorld: A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept. Occasionally, the above is called a "linear equation of two variables," where y and x are the variablesA linear equation only has one or two variables. No variable in a linear equation is raised to a power greater than 1 or used as the denominator of a fraction. When you find pairs of values that make a linear equation true and plot those pairs on a coordinate grid, all of the points lie on the same lineTo learn more about linear equation refers to:
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I need help on this pleasee and please explain
Answer:
Undefined
Step-by-step explanation:
Use the formula y2-y1/x2-x1
3-9/-5-(-5)
-6/0
Any number with a denominator of 0 is undefined
How many solutions does the equation 6x-10=2(3x+8) have?
No Solution
One Solution
Infinitely Many Solutions
Answer:
No solution
Step-by-step explanation:
As 6x on lhs and 2×3x on the rhs are equal and cancel each other
I NEED AN ANSWER ASAP PLEASE
Step-by-step explanation:
the correct answer is option a 6a-7
Write an equation in slope-intercept form of the line that passes through the given points. PLEASE HELLLPPPPPPPPP.....
The equation of the table in slope intercept form is y = - 5 / 2x - 1
How to write equation in slope intercept form?Linear equation can be represented in various form, such as standard form, point slope form and slope intercept form.
But the equation of the table below will be represented in slope intercept form.
The equation in slope intercept form can be represented as follows:
y = mx + b
where
m = slopeb = y-interceptTherefore, using (-4, 9)(-2, 4)
m = 4 - 9 / -2 + 4
m = - 5 / 2
Hence, let's find the y-intercept using (0, -1)
y = - 5 / 2x + b
-1 = - 5 / 2(0) + b
b = -1
Therefore, the equation is y = - 5 / 2x - 1
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The perimeter of a rectangle is 12x + 4. If the width is 2x,
the length of the rectangle is
Answer:
4x+2
Step-by-step explanation:
Perimeter = 2(width) + 2(length). So 12x+4 = 2(2x) + 2(length) .
12x+4 = 4x + 2(length) then subtract 4x from both sides to get 8x+4 = 2(length). In order to get length by itself you need to divide both side by 2.
4x+2 = length. Hope this helps!
What is the coefficient of the second term of the expression 3x^4 + x^2?
Answer:
1
Step-by-step explanation:
because no number Is beside it except 1 because 1 x anything will give it back
The coefficient of the second term of the expression 3x⁴ + x² will be 1. Then the correct option is B.
What is a polynomial?A polynomial expression is an algebraic expression with variables and coefficients. Unknown variables are what they're termed. We can use addition, subtraction, and other mathematical operations. However, a variable is not divisible.
The expression is given below.
⇒ 3x⁴ + x²
The number which is associated with the variable is known as the coefficient of that variable.
In the expression 3x⁴ + x², the coefficient of x⁴ is 3 and the coefficient of x² is 1.
The coefficient of the second term of the expression 3x⁴ + x² will be 1. Then the correct option is B.
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A local pizza shop has a membership program for frequent buyers. The membership costs $25 per month and members get a discounted price of $1.25 per slice of pizza. Tristan purchased a membership to this pizza shop. How much would Tristan have to pay the pizza shop if he bought 9 slices of pizza this month? What would be the monthly cost for xx slices of pizza?
Monthly cost with 9 slices:
Monthly cost with xx slices:
d+30=1.8d please help me solve this step by step asap
Answer:
37.5=d
Step-by-step explanation:
d+30 = 1.8d
add coefficient 1 to D so it's less confusing
1d +30 = 1.8d
isolate d
-1d
30= .8d
multiply by inverse to make d 1 whole
× 5/4 or 1.25
37.5 = d