Answer:
1. a = 5400
2. r = 0.96
3. Percentage decrement = 65.4%
Step-by-step explanation:
Given
N = ar^t
Solving (a): Write down the value of a
a implies the first term
And from the question, we understand that the initial number of trees is 5400.
Hence,
a = 5400
Solving (b): Show that r = 0.96
Using
N = ar^t
When a = 5400, t = 1 i.e. the first year and N = 5184
Substitute these values in the above expression
5184 = 5400 * r¹
5184 = 5400 * r
5184 = 5400r
Solve for r
r = 5184/5400
r = 0.96
Solving (c): Show that the trees has decreased by over 65% in 2040
First, we need to calculate number of years (t) in 2040
t = 2040 - 2014
t = 26
Substitute 26 for t, 5400 for a and 0.96 for r in N = ar^t to get the number of trees left
N = 5400 * 0.96^26
N = 1868.29658019
N = 1868 (approximated)
Next, we calculate the percentage change as thus:
%Change = (Final - Initial)/Initial * 100%
Where the initial number of trees =5400 and final = 1868
%Change = (1868 - 5400)/5400 * 100%
%Change = -3532/5400 * 100%
%Change = -3532%/54
%Change = -65.4%
The negative sign indicates a decrements or reduction.
Hence, percentage decrement = 65.4% and this is over 65%
/3
9. At the bowling alley, Angela rented shoes for $3 and it cost her $2.50 to bowl each game.
a) State an equation that represents the cost of bowling in the form C = mx + b, where C is the total
cost and x is the number of games bowled.
b) How much did it cost her to bowl four games?
Answer:
$13
Step-by-step explanation:
For the equation, m will be 2.50 and b will be 3. This is because 2.50 will change as she plays more games. The 3 will stay the same no matter how many games she plays.
C = 2.5x + 3
To find the cost to bowl four games, plug 4 into x and solve for C.
C = 2.5x + 3
C = 2.5(4) + 3
C = 10 + 3
C = 13
1+9 help me now plssssss
Answer:
10
Step-by-step explanation:
you do the one plus the nine which gives you 11 then subtract 2 which gets you 9 then add 4 which gets you 13 then minus 3 which gets you 10.
Please help someone I’m miserable I’ll pay Lol
Answer:
7,6 1/2, 5 here are your answers welcome
Helpppp
A 95% confidence interval is found to be (30,36). The sample standard
deviation is 9, and the sample size is 36. If you wanted a smaller interval,
what could you do?
A. None of these
B. Decrease the sample size to 30.
C. Increase the sample size to 100.
D. Increase the confidence level to 99.7%.
Answer:
C
Step-by-step explanation:
A P E X
If you wanted a smaller interval, you could (c) Increase the sample size to 100
How to determine the true statement?The confidence interval is given as:
CI = 95%
The sample standard deviation is given as:
σ = 9
The sample size is given as:
n = 36
In a test of hypothesis, the higher the sample size, the smaller the confidence interval.
This means that an increase in the sample size from 36 would decrease the confidence interval
Hence, if you wanted a smaller interval, you could (c) Increase the sample size to 100
Read more about confidence intervals at:
https://brainly.com/question/15712887
#SPJ2
Please help with the problem in the picture ^ I’ll give brainliest if you give me a small explanation! :)
Answer:
195
Step-by-step explanation:
Divide 91/7 which is 13 and multiply that by 15 to get the value of y when x is 15
The number of chocolate chips in an 18-ounce bag of chocolate chip cookies is approximately normally distributed with a mean of chips and standard deviation chips.
Required:
a. What is the probability that a randomly selected bag contains between and chocolate chips, inclusive?
b. What is the probability that a randomly selected bag contains fewer than chocolate chips?
c. What proportion of bags contains more than chocolate chips?
d. What is the percentile rank of a bag that contains chocolate chips?
Answer:
Explained below.
Step-by-step explanation:
The number of chocolate chips in an 18-ounce bag of chocolate chip cookies is approximately normally distributed with a mean of 1262 chips and standard deviation 118 chips.
(a)
Compute the probability that a randomly selected bag contains between 1000 and 1400 chocolate chips as follows:
[tex]P(1000<X<1400)=P(\frac{1000-1262}{118}<\frac{X-\mu}{\sigma}<\frac{1400-1262}{118})\\\\=P(-2.22<Z<1.17)\\\\=P(Z<1.17)-P(Z<-2.22)\\\\=0.87900-0.01321\\\\=0.86579\\\\\approx 0.8658[/tex]
Thus, the probability that a randomly selected bag contains between 1000 and 1400 chocolate chips is 0.8658.
(b)
Compute the probability that a randomly selected bag contains fewer than 1000 chocolate chip as follows:
[tex]P(X<1000)=P(\frac{X-\mu}{\sigma}<\frac{1000-1262}{118})\\\\=P(Z<-2.22)\\\\=0.01321\\\\\approx 0.0132[/tex]
Thus, the probability that a randomly selected bag contains fewer than 1000 chocolate chip is 0.0132.
(c)
Compute the proportion of bags that contains more than 1200 chocolate chips as follows:
[tex]P(X>1200)=P(\frac{X-\mu}{\sigma}>\frac{1200-1262}{118})\\\\=P(Z<-0.53)\\\\=0.29806\\\\\approx 0.2981[/tex]
Thus, the proportion of bags that contains more than 1200 chocolate chips is 0.2981.
(d)
Compute the percentile rank of a bag that contains 1125 chocolate chips as follows:
[tex]P(X<1125)=P(\frac{X-\mu}{\sigma}<\frac{1125-1262}{118})\\\\=P(Z<-1.16)\\\\=0.12302\\\\\approx 0.123[/tex]
Thus, the percentile rank of a bag that contains 1125 chocolate chips is 12.3rd.
A 4 quart container of window cleaner costs $12.48. What is the price per cup?
Answer:
$3.12
Step-by-step explanation:
A quart is 4 cups
Divide the Price $12.48 by 4 = $3.12 a cup
While scuba diving, Alex counted the number of sea turtles and jellyfish he saw. After a few minutes, he counted 4 sea turtles and 12 jellyfish. This ratio remained constant during the remainder of his dive.
Answer:Alex found 3 jellyfish for very sea turtle.
Step-by-step explanation:
Answer:
3 jelly fish
Step-by-step explanation:
Joe borrowed $3,000 from the bank at a rate of 7% simple interest per year. How much interest did he pay in 6 years?
Answer:
1260
Step-by-step explanation:
I'm not 100% sure this is correct
Answer:
$1,260
Step-by-step explanation:
I = Prt
I = 3,000 (0.07) (6)
I = 3,000 (0.42)
I = 1,260
Joe paid $1,260 in 6 years.
Is 1 and 2/3 equal to 3divided by5
Answer:
sdfdfds
Step-by-step explanation:
Answer:
no
Step-by-step explanation:
3 divided by 5 is the same as 0.6
Find the slope of a line that passes through the given two points
(2,4) and (3,6).
Answer:
The slope is 2.
Step-by-step explanation:
hope that helps
y²-y¹/x²-x¹
6-4/3-2
2/1
=2
Please help me I’m really dumb
Answer:
d So yah plz tell me if I am right it has Ben a while since I have done this
Step-by-step explanation:
it is d so yah
someone helppp please!!
Answer:
because ΔMLN ≅ ΔYZX
=> MN = YX = 4
Step-by-step explanation:
Answer:
I think its four
Step-by-step explanation:
Need help will mark Brainliest
Assuming the triangle adds up to 180°, x = 55 because 55 + 5 = 60. 60 x 3 = 180
c - 3/4 = 1/8
Please answer
Answer:
The answer is 7/8.
Step-by-step explanation:
to get the answer you must use inverse operation so 3/4 + 1/8 = 0.875 or 7/8.
If this helped I would appreciate it if you marked me Brainliest. thank you and have a nice day!
Answer:
c = 7/8
Step-by-step explanation:
c - 3/4 = 1/8
First I will make sure that they all have the same denominator.
[tex]\frac{3}{4} * 2= \frac{6}{8}[/tex]
Our new equation will look like:
c - 6/8 = 1/8
Now we will add 6/8 to both sides.
c = 1/8 + 6/8
c = 7/8
Our final answer is:
c = 7/8
Name a street that is perpendicular to Hwy 64/40 . Can you help with all these questions
Answer:
no puedo alludar te perdón
f(x)=4x^2+2x+6
What is the value of the discriminant of f?
How many distinct real number zeros does f have ?
Answer:
It has ZERO distinct real number zeros.
Find the value of X.
Answer:
x = 6
Step-by-step explanation:
Answer:
x=6
Step-by-step explanation:
32+4 is 36
90-36 is 54
9 times 6 is 54
54+4 is 58
58+32 is 90
pls mark me brainliest :)
Kai sells a small magazine full of celebrity gossip to college students for $2.65 per copy. Hiring the printing press for one day, the only fixed cost, is $435 an issue. The variable cost of printing each issue is $0.82 per copy. The printer tells Kai the cost of hiring the press is to increase by $116 per day. If changing to color increases variable costs by $0.40, what is the percentage decrease in contribution margin resulting from the switch to color?
Answer:
Percentage decrease= 21.86%
Step-by-step explanation:
Giving the following information:
Selling price per unit= $2.65
Current variable cost= $0.82
Increase in variable cost= $0.4
To calculate the unitary contribution margin, we need to use the following formula:
Unitary contribution margin= selling price - unitary variable cost
Unitary contribution margin= 2.65 - 0.82
Unitary contribution margin= $1.83
New contribution margin= 2.65 - 1.22
New contribution margin= $1.43
Finally, the percentage decrease:
Percentage decrease= [1 - (1.43/1.83)]*100
Percentage decrease= 21.86%
Solve.
1) A collection of dimes and quarters is worth S15.25. There are 103 coins in all.
How many of each is there?
2) A collection of half dollars and nickels is worth S13.40. There are 34 coins in
all. How many are there?
3) The attendance at a school concert was 578. Admission was S2.00 for adults
and S1.50 for children. The total receipts were S985.00. How many adults and
how many children attended?
4) A purse contains S3.90 made up of dimes and quarters. If there are 21 coins in
all, how many dimes and how many quarters were there?
5) A boy has S2.25 in nickels and dimes. If there are twice as many dimes as
nickels, how many of each kind has he?
X - 2
x2-2x + 3
4.
x + 3
x + 3
Answer:
The equation is likely (x2 -2x -3)/(x+2) and to simplify you can do polynomial synthetic division or long division. Using long division because it works in all cases:
________
x+2√x2 -2x -3 how many times does x go into x2 , x times
x - 4 ______
x+2√x2 - 2x -3 multiply x by x + 2 and create the next row
-(x2 )
-4x - 3 bring down the -3 and repeat first step. how many times does x go into -4x, -4 times
-(-4x - 8) multiply x + 2 by -4
5 (this is the remainder but it must be in the form 5/(x+2)
so the answer is x - 4 + 5/(x + 2). Hopefully, this is what your teacher considers "simplified".
Step-by-step explanation:
Copied this from wyzant.com.
Show work
Bonita and Vince are jogging to school 2.5 miles west of
Vinces' house. It takes
them 15 minutes to arrive. As soon as they got there Boneta needed to run east
5 miles to the discount store for personal supplies. This took her 5 minutes. She
then slowly walks back to school, which takes her another 10 minutes
What is the average velocity in miles/min for Bonita for the entire trip?
Show how you convert this to mis? Show your setup and answer.
What is her average speed in miles/min?
- Show how you convert the average speed to mis. Show your set up and answer.
Answer:
V_avg = 0.5556 miles/min
V_avg = 0.00926 miles/sec
Step-by-step explanation:
Bonita jogs 2.5 miles west of Vinces' house to school. It took her 15 minutes to arrive.
Speed 1; distance/time = V1 = 2.5/15 = 1/6 miles/min
Furthermore she ran 5 miles to the discount store for personal supplies. This took her 5 minutes.
Thus;
Speed 2; V2 = 5/5 = 1 mile/min
She then slowly walks back to school, which takes her another 10 minutes. Distance from the discount stor to school is 5 miles as stated in speed 2.
Thus;
Speed 3: V3 = 5/10 = ½ mile/min
Her average speed is;
V_avg = (V1 + V2 + V3)/3
V_avg = (1/6 + 1 + ½)/3
V_avg = 10/18 = 0.5556 miles/min
Converting to miles/seconds
60 seconds make 1 minutes, therefore 1 mile/min = 1/60 miles/seconds
Thus;
V_avg = 0.5556 miles/min = 0.5556 × 1/60 miles/sec = 0.00926 miles/sec
What the * stands for ?
Which property is shown in the matrix addition below?
[-6 15 -2 ] + [6 -15 2 ] = [0 0 0
Answer:
The property shown in matrix addition given is "Additive Inverse Property"
Step-by-step explanation:
First of all lets define what a matrix is.
A matrix is an array of rows and columns that consists of numbers. There are several types of matrices. The one in our question is a row matrix which consists of only one row.
There are several addition properties for matrices.
One of them is additive inverse property. The additive inverse of a matrix consists of the same elements but their signs are changed.
Additive inverse property states that the sum of a matrix and its additive inverse is a zero matrix.
[tex]\left[\begin{array}{ccc}-6&15&-2\end{array}\right] + \left[\begin{array}{ccc}6&-15&2\end{array}\right] = \left[\begin{array}{ccc}0&0&0\end{array}\right][/tex]
Hence,
The property shown in matrix addition given is "Additive Inverse Property"
what is 8 divided by 8 with a multitude of 53 degree angles
Answer:
1
Step-by-step explanation:
how do i ask the community?
just do whatever you did now
Fill in the blanks to complete the sentence.
Last month, the online price of a powered ride-on car was $250. This month, the online price is $330. What is the percent of increase in the price of the car? Round the percent to the nearest tenth if necessary. :)
Answer:32%
Step-by-step explanation:
330-250=80
80/250=0.32 or 32%
What’s the constant term for 7k-8k=
Answer:
K?
Step-by-step explanation:
How many solutions will there be to the following equation?
16x2 = 100
a. more than 2 solutions
b.
no solution
c. 1 solution
d. 2 solutions
Answer:
d. 2 solutions
+5/2,-5/2
Step-by-step explanation:
16x^2 = 100
x^2=100/16
x^2=25/4
X=√25/4
X=. +5/2,-5/2
So the answer is +5/2,-5/2
Zoe‘s graduation picnic cost $94 for the decorations plus an additional $10 for each attendee at Moose how many attendees can there be if Zoe budgets a total of $474 for her graduation picnic
Answer:
38 attendees.
Step-by-step explanation:
Subtract the cost of the decorations from the total (474 - 94). You are then left with $380 for all the attendees combined. Divide the total cost of attendees by the cost per attendee (380/ 10). You are left with 38 attendees. You can also check this backwards by multiplying 38 attendees by $10 (380), then adding the cost of decorations (94), and end up with the total cost of $474. I hope this helped!