Answer:
PV= $813.09
Step-by-step explanation:
Giving the following information:
Future Value (FV)= $1,000
Number of periods (n)= 7 years
Interest rate (i)= 3% compounded annually
To calculate the present value (PV), we need to use the following formula:
PV= FV/(1+i)^n
PV= 1,000 / (1.03^7)
PV= $813.09
For its beef stew, Betty Moore Company uses aluminum containers that have the form of right circular cylinders. Find the radius and height of a container if it has a capacity of 44 in.3 and is constructed using the least amount of metal. (Round your answers to two decimal places.)
Answer:
[tex]1.91\ \text{in}[/tex]
[tex]3.84\ \text{in}[/tex]
Step-by-step explanation:
V = Volume of cylinder = [tex]44\ \text{in}^3[/tex]
h = Height of cylinder
r = Radius of cylinder
Volume of cylinder is given by
[tex]V=\pi r^2h\\\Rightarrow h=\dfrac{V}{\pi r^2}\\\Rightarrow h=\dfrac{44}{\pi r^2}[/tex]
Total surface area of a cylinder is given by
[tex]S=2\pi r^2+2\pi rh\\\Rightarrow S=2\pi r^2+2\pi r\times\dfrac{44}{\pi r^2}\\\Rightarrow S=2\pi r^2+\dfrac{88}{r}[/tex]
Differentiating with respect to radius
[tex]\dfrac{dS}{dr}=4\pi r-\dfrac{88}{r^2}[/tex]
Equating with zero
[tex]4\pi r-\dfrac{88}{r^2}=0\\\Rightarrow 4\pi r=\dfrac{88}{r^2}\\\Rightarrow r^3=\dfrac{88}{4\pi}\\\Rightarrow r=(\dfrac{22}{\pi})^{\dfrac{1}{3}}\\\Rightarrow r=1.91\ \text{in}[/tex]
Double derivative of S
[tex]\dfrac{d^2S}{dr^2}=4\pi+176>0[/tex]
So [tex]r[/tex] is minimum at [tex]\dfrac{dS}{dr}=0[/tex]
[tex]h=\dfrac{44}{\pi r^2}=\dfrac{44}{\pi 1.91^2}\\\Rightarrow h=3.84\ \text{in}[/tex]
So the radius and height of the cylinder is [tex]1.91\ \text{in}[/tex] and [tex]3.84\ \text{in}[/tex] respectively such that the least amount of metal is used.
Gabriela drank three fourths of her glass of milk and jenny drank six eighths of her glass of milk if the glasses were the same size did they drink the same amount ? Use cross multiplication to prove your answer
Answer:
just croos multi
Step-by-step explanation:
its very easy
There are 8 classroom in a particolar
School. The number of student in each classroom
range from 25 to 30, what is the total number
of student in the School?
Answer:
25 times 8 kid its easy then do the answer is greater than or equal to x
Step-by-step explanation:
Pllls Help ill give brainliesstttt
Number one is 16
number two is 30
Number 3 is 100
Number four is 50
The radius of a circle is 3 feet. What is the circle's area?
Answer:
6
Step-by-step explanation:
Answer:1.5 feet
Step-by-step explanation: your welcome
Study circle C, where diameter TV bisects chord EF.
The diagram as described in the text.
If m∠EKT=(5x + 65)∘, what is the value of x?
Enter the correct value.
The answer to the question and value is 5
A book company publishes 749 copies of
a novel and distributes them to 7 bookstores.
If each bookstore were to receive the same
number of copies, how many copies would
be sent to each store?
Answer:
107 copies to each books store
Write the conclusion:
If Charlie goes to the store, then Harry loves school
A. Charlie doesn't go to the store
B. Harry does not love school
C. Charlie goes to the store
D. Harry loves school
a. then Harry loves school
b. Harry loves school
c. Charlie goes to the store,
d. Then Charlie goes to the store,
Question 5
Write the converse:
If the team does not play on Tuesday then the project is not due Friday.
a. If the project is not due Friday then the team does not play on Tuesday
b. If the team plays on Tuesday then the project is due FridayThis answer is incorrect.
c. If the project is due Friday then the team plays on Tuesday
d. The team plays on Tuesday if and only if the project is due Friday.
Question 7
Write the converse:
If Don goes to the store then George doesn't go to the store.
A. If George doesn't go to the store then Don goes to the store
B. Don doesn't go to the store if and only if George goes to the store.
C. If George goes to the store then Don doesn't go to the store
D. If Don doesn't go to the store then George goes to the store
a. If George doesn't go to the store then Don goes to the store
b. Don doesn't go to the store if and only if George goes to the store.
c. If George goes to the store then Don doesn't go to the store
d. If Don doesn't go to the store then George goes to the store
Question 9
Write a counterexample:
If the product of two numbers is 80, then one number must be 10.
a. x = 10 and y = 8
b. x = 1 and y = 8
c. x = 10 and y = 80
d. x = 1 and y = 80
Answer:
A
Step-by-step explanation:
beacause Harry loves school so he go to school
Haven’t been able to figure this out, can someone help?
Answer:
D reorder the terms using communitive properties
because there is nothing else to do with this problem
Step-by-step explanation:
8 3√25 k
I checked the other problems and K was 12
Hope this helps ?
What equation represents the line shown
A.y=2x+2
B.y=-2x+2
C.y=1/2x+2
D.y=1/2x+-2
Answer:
The answer must be either C or D but I think it is D
Step-by-step explanation:
sorry if I am wrong
Hell and thanks please
Answer:
A
Step-by-step explanation:
Find the equation of the line use exact numbers.
Answer:
y = 2/3x+4
Step-by-step explanation:
for f(x) =4x-1 and g(x) = x2 - 5, find (f-g)(x)
Answer:
(f - g)(x) = -x² + 4x + 4
General Formulas and Concepts:
Pre-Algebra
PropertiesAlgebra I
Combining like termsFunction notationStep-by-step explanation:
Step 1: Define
f(x) = 4x - 1
g(x) = x² - 5
(f - g)(x) = f(x) - g(x)
Step 2: Find
Substitute: (f - g)(x) = 4x - 1 - (x² - 5)Distribute: (f - g)(x) = 4x - 1 - x² + 5Combine like terms: (f - g)(x) = -x² + 4x + 4please help - it neeeeddd this - im going to fail - i will give you a lot of points
The answer is one of the last two. I am pretty sure that it is corresponding but I could be wrong.
Answer:
389202838
Step-by-step explanation:
Which term best describes objects that have length, width, and height?
A. Two-dimensional
B. One-dimensional
C. Three-dimensional
D. Zero-dimensional
Answer:
C
Step-by-step explanation:
hope this helps
Answer: c
Step-by-step explanation:
The Shredder, Inc. produces two types of paper shredders, home and office. The office model requires 6 hours to assembly and 2 finishing work units for finishing work, the home model requires 4 hours to assemble and 12 finishing work units for finishing. The maximum number of assembly hours available is 96 per day, and the maximum number of finishing hours available is 96 per day.
Let
x = the number of office model shredders produced per day and
y = the number of home model shredders produced per day.
Write the system of inequalities that represents the maximum number of shredders that can be produced in one day.
NOTE: 4 inequalities are expected.
Answer:
4y + 6x ≤ 96
12y + 2x ≤ 96
Step-by-step explanation:
Paper shredders produced :
Home :
Assembling time = 4 hours
Finishing work unit = 12
Office :
Assembling time = 6 hours
Finishing work unit = 2
Maximum number of assembly hours = 96 / day
Maximum number of finishing hours = 96/ day
Let
x = the number of office model shredders produced per day and
y = the number of home model shredders produced per day
(office Assembly hours x Number of office model) + (Assembly hours * number home models)
OFFICE MODEL:
Assembly operation :
Home + office ≤ 96
4y + 6x ≤ 96
Finishing operation :
Home + office ≤ 96
12y + 2x ≤ 96
Leila bought 3 bananas, which weighed a total of 3/4 of a pound . if each banana weighed the same amount , what is the weight of each banana ?
Answer:
1/4
Step-by-step explanation:
3/4 (total weight)
3 bananas
(3/4)/3=1/4
PLS GIVE BRAINLIEST
The life expectancy (M) in the United States is 85 with a standard deviation of 6 years. A random sample of 36 individuals is selected. What is the probability that the sample mean will be between 82.5 and 86 years?
Answer:
The probability that the sample mean will be between 82.5 and 86 years is 0.8351.
Step-by-step explanation:
According to the Central Limit Theorem if an unknown population is selected with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from this population with replacement, then the distribution of the sample means will be approximately normally.
Then, the mean of the sample means is given by,
[tex]\mu_{\bar x}=\mu\\[/tex]
And the standard deviation of the sample means is given by,
[tex]\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}[/tex]
The information provided is:
[tex]\mu=85\\\sigma=6\\n=36[/tex]
As the sample size is large enough the Central Limit Theorem can be used to approximate the sampling distribution of sample mean life expectancy (M) in the United States.
Compute the probability that the sample mean will be between 82.5 and 86 years as follows:
[tex]P(82.5<\bar X<86)=P(\frac{82.5-85}{6/\sqrt{36}}<\frac{\bar X-\mu_{\bar x}}{\sigma_{\bar x}}<\frac{86-85}{6/\sqrt{36}})\\\\=P(-2.5<Z<1)\\\\=P(Z<1)-P(Z<-2.5)\\\\=0.84134-0.00621\\\\=0.83513\\\\\approx 0.8351[/tex]
Thus, the probability that the sample mean will be between 82.5 and 86 years is 0.8351.
The probability that the sample mean will be between 82.5 and 86 years is 0.8351.
Standard deviation σ = 6
Sample size n =36
What is the central limit theorem?The central limit theorem (CLT) states that the distribution of sample means approximates a normal distribution as the sample size gets larger, regardless of the population's distribution.
Since the sample size is significant i.e. large, so the given scenario can be treated as normally distributed as per the central limit theorem.
So, the standard deviation of sample means = σ/√n
The probability that the sample mean will be between 82.5 and 86 years:
[tex]P(82.5 < X < 86) = P(\frac{82.5-85}{\frac{6}{\sqrt{36} } } < Z < \frac{86-85}{\frac{6}{\sqrt{36} } } )[/tex]
[tex]P(-2.5 < Z < 1)=P(Z < 1)-P(Z < 2.5)[/tex]
[tex]P(-2.5 < Z < 1) =0.8413-0.0062=0.8351[/tex]
Therefore, the probability that the sample mean will be between 82.5 and 86 years is 0.8351.
To get more about the central limit theorem visit:
https://brainly.com/question/18403552
help help help pls pls ASAP
Answer:
#6 slope is -1/2 and y intercept is 4
#8 slope is 1/3 and y intercept is -2
Step-by-step explanation:
4.5.36
A smoke jumper jumps from a plane that is 1500 ft above the ground. The function h= - 16t^2+ 1500 gives the jumper's height h in feet during the free fall att seconds
a. How long is the jumper free fall if the parachute opens at 1000 ft?
b. How long is the jumper in free fall if the parachute opens at 940 ft?
c. What is a reasonable domain and range for the function h?
We have a jumper that jumps from 1500ft above the ground, such that its height as a function of time is given by:
h(t) = -16*t^2 + 1500
The solutions are:
A) 5.59 seconds
B) 5.91 seconds
C) D = (0s, 9.68s)
R = [0ft, 1500ft]
Notice that when t = 0, h = 1500, then at the initial time (t = 0) the height is 1500 (in ft), which means that the zero of the height is the ground.
a) How long is the jumper free fall if the parachute opens at 1000 ft?
Here we need to solve:
h = 1000 = -16*t^2 + 1500
Now we just need to solve this for t:
16*t^2 = 1500 - 1000 = 500
t^2 = 500/16 = 31.25
t = √31.25 = 5.59
So it takes 5.59 seconds to open the parachute.
B) similar to before, this time we need to solve:
h = 940 = -16*t^2 + 1500
16*t^2 =1500 - 940 = 560
t^2 = 560/16 = 35
t = √35 = 5.91
So it takes 5.91 seconds to open the parachute.
C) The domain is the set of inputs that we can use in the function.
The minimum of the domain is t = 0, when the jumper jumps.
To find the maximum of the domain we need to find the maximum time at which he could open the parachute, that is when h = 0ft, just in the ground.
Then we solve:
h = 0 = -16*t^2 + 1500
16*t^2 = 1500
t = √(1500/16) = 9.68
Then a reasonable domain is (0s, 9.68s)
And the range is the set of possible outputs, which will be all the possible heights of the jumper. We know that all of these are between 0ft and 1500ft, thus the range is [0ft, 1500ft]
If you want to learn more, you can read:
https://brainly.com/question/1632425
What is the perimeter of the figure?
A. 20.0 cm
B. 23.0 cm2
C. 25.0 cm2
D. 11.0 cm
Answer:
Answer is D, all you do is add the numbers
The perimeter of the figure is 20 cm.
The perimeter of the figure is the sum of the whole sides. When the whole sides of the figure is added the perimeter is known. Therefore,
perimeter = 5 cm + 3 cm + 1 cm + 2cm + 4cm + 5 cm
perimeter = 8 cm + 3cm + 9cm
perimeter = 20 cm
The perimeter of the figure = 20 cm
read more: https://brainly.com/question/20306407?referrer=searchResults
3(x+6)=3x + _
Please asap
Answer:
3x + 18
General Formulas and Concepts:
Pre-Alg
Distributive PropertyStep-by-step explanation:
Step 1: Define expression
3(x + 6)
Step 2: Expand
Distribute 3 to both terms: 3x + 18Answer
3x+18 or 3x+9 but I'm not sure which one
hey guys what is this type of equation/ question called 1 < x < 30
Answer:
2,3,4,5,6,7,8,9,10,...29
Step-by-step explanation:
What is the sum of -16/8 and 2
Answer:
0
Step-by-step explanation:
Answer:
the answer is 0
Step-by-step explanation:
hope this helped,brainliest?
p=3y/q solve for y make sure to add steps pls
Answer:
Solving for y gives:
[tex]y = \frac{pq}{3}[/tex]
Step-by-step explanation:
Linear equations are the equations that are degree one equations. When it is asked to solve an equation for a specific variable that means that the specified variable has to be isolated on one side of the equation i.e. in the given question solving for y means isolating y on one side of the equation.
Given equation is:
[tex]p = \frac{3y}{q}[/tex]
Multiplication property of equality(Multiplying both sides by q)
[tex]p*q = \frac{3y}{q} * q\\pq = 3y[/tex]
Division property of equality(Dividing both sides by 3)
[tex]\frac{pq}{3} = \frac{3y}{3}\\\frac{pq}{3} = y[/tex]
Hence,
Solving for y gives:
[tex]y = \frac{pq}{3}[/tex]
A company refinishes wood floors for $1.50 per square foot. Makayla hires the company to refinish 1,000 square feet
in her home. How much does she pay for the refinishing work?
$500
$1,000
$1,500
$5,000
Answer:
The correct answer is $1,500
Step-by-step explanation:
hope this helps
Solve for x: 3 − (2x − 5) −8
c. x −3
Answer:
-8cx−2x+5
Step-by-step explanation:
solve and evaluate expression
Answer:
hshd
Step-by-step explanation:
hhshahj
This is statistics. Please answer fast
Answer:
This is a normal distribution and we can use the standard score to compute for probabilities. We compute the standard score of the given.
Step-by-step explanation:
z = (x - mu)/sd
z = (2625 - 2600)/50 = 25/50 = 0.5.
Consulting the z-table, P(z <= 0.5) = 0.6915.
P(z > 0.5) = 1 - P(z <= 0.5) = 1 - 0.6915 = 0.3085.
I hope this helped! <3
how would i slove for x??
Answer:
x=12
Step-by-step explanation:
First you need to find the 3rd angle.
180-118=x
x=62
Once you have that 3rd angle, set all the inside angles equal to 180
4x-6+5x+16+62=180 ---> set to 180
9x+72=180 -->combine like terms
9x=108 --> subtract 72 from both sides
x=12 -->divide both sides by 9
Solve the problem. Sven can type 57 words per minute. How many words would he type in hour (40 minutes)? 2280 words 86 words 38 words 1520 words
Answer:
Sven would type 2280 words every 40 minutes.
Step-by-step explanation:
Multiply 57 by 40 and that should get you 2280.
Now, if it was truly an hour, you would multiply 57 by 60. The answer should be 3420.