Answer:
$9,936.47
Step-by-step explanation:
Similarly to the other problem I helped you with we have:
[tex]A_{final}=A_{initial}(1+r)^t[/tex]
Where A is amount, r is rate and t is time.
In this case A=12000, r=9%=0.09 and 9% in decimals is 0.09 (9÷100=0.09), and t=7 since 2025 -2018 = 7 years. So how much is this investment worth in 7 years? Let's plug those values in and we obtain:
[tex]A_{final}=12000(1+0.09)^7=12000(1.09)^7=21936.47[/tex]
So the investment will be worth $21,936.47. Now we must calculate how much more will this precious mineral be worth so we get the difference of the final amount and the initial amount the mineral was worth and so:
[tex]A_{final}-A_{initial}=21936.47-12000=9936.47[/tex]
And so the mineral will be worth $9,936.47 more than it originally was worth after 7 years.
A conical storage building stores landscaping stone. The diameter of the base of the building is 36 feet, the height is 57.2 feet, and the slant height of the building is 60 feet. How many square feet does the base of the building measure? Use 3.14 for pi and round to the nearest hundredth. A. 1,017.36 ft2 B.2,568.39 ft2 C.3,391.20ft2 D.4,096.44 ft2
Answer:
Option A is correct.
1,017.36 square feet does the base of the building measure.
Step-by-step explanation:
Given: Diameter of the base (d) = 36 feet , Height of the building (h) = 57.2 feet and slant height of the building(l) = 60 feet.
We have to find the area of the base of the building.
Since, the building is in the form cone.
Area of the base(A) of the cone is given by:
[tex]A= \pi r^2[/tex] ......[1]; where r is the radius of the cone
Diameter(d) = 2r
36 = 2r
Divide both sides by 2 we get;
r = 18 feet.
Substitute the value of r = 18 feet and [tex]\pi = 3.14[/tex] in [1] we get;
Area of the base of the building = [tex]3.14 \times (18)^2 = 3.14 \times 324 = 1017.36[/tex] square feet.
Therefore, 1,017.36 square feet does the base of the building measure.
Answer:
A
Step-by-step explanation:
Christian is reading 1/4 books every 2/3 week. How many books does christian read per week
A) 1/6
B) 3/8
C) 2 2/3
D) 6
Answer:
(1/4) / (2/3) = x / 1...1/4 book to 2/3 week = x books to 1 week
cross multiply because this is a proportion
2/3x = 1/4
x = 1/4 * 3/2
x = 3/8 per week
MARK ME BRAINLIESTWhat is the equation of the line that passes through the points (-3,2) and (-5,8)
a. 3x - y = -11
b. 3x + y = -7
c. 3x + y = 5
d. x + 3y = 4
Answer:
The answer is a. 3x - y = -11
Step-by-step explanation:
Firstly, you must find the gradient. This is found using the following formula:
[tex]\frac{y2 - y1}{x2 - x1}[/tex]
Make sure that the x2 and y2 values are in the same coordinate set:
Let's set (-3 , 2) as y1 and x1,
y1 = 2 and x1 = -3
That means that (-5 , 8) is y2 and x2,
y2 = 8 and x2 = -5
Plug the values in:
[tex]\frac{8 - 2}{-5 - - 3}[/tex]
Simplified:
[tex]\frac{6}{2}[/tex]
Or 3
So the gradient (or slope) is 3
Now, using the following equation of a line formula:
y - y1 = m(x - x1)
Where m is the gradient and y1 and x1 are two coordinates, we can plug these values in:
y1 = 2
x1 = -3
m = 3
y - 2 = 3(x - - 3)
The negative and the subtract makes it a positive:
y - 2 = 3(x + 3)
Now we can multiply the bracket out:
3 * x = 3x
3 * 3 = 9
So:
y - 2 = 3x + 9
The equation is usually in the form:
y = mx + c
So we need to move the -2 over to the other side making it a positive 2:
y = 3x + 9 + 2
y = 3x + 11
Which is the equation of the line.
The one option that this rearranges to is a) because if you move the y over to the 3x, and the + 11 over to the other side, making them both negatives, the result is:
3x - y = -11
So your answer is a.
Find the value of m in this equation below
Answer:
m=0
Step-by-step explanation:
Zero power rule: a^0 = 1, Anything raised to the zero power is 1 (a≠ 0).
So if m=0, as long as x does not equal zero (x^8/yz^5)^m will equal one.
Which statement describes data that is negatively skewed?
A- The majority of the data is to the left of the mean
B- The majority of the data is to the right of the mean
C- The majority of the data is in the center with the mean
D- The majority of the data is split to the right and left of the mean
write some numbers that are equal to 15÷12
Answer
14 / 13 hope this helps
Step-by-step explanation:
Mr.Yan has almost as twice as many chickens and cows. The total number of legs and heads is 184. How many cows are there?
Answer:
Number of cows is 23
Number of chickens is 46
Step-by-step explanation:
Let's assume
number of cows =x
we are given
Mr.Yan has almost as twice as many chickens and cows
so,
Number of chickens =2x
We know that
Number of legs in a cow =4
Number of legs in a chicken =2
now, we can set up equation
[tex]4\times x+2\times 2x=184[/tex]
[tex]4x+4x=184[/tex]
[tex]8x=184[/tex]
[tex]x=23[/tex]
So,
Number of cows =23
Number of chickens is
[tex]=2\times 23=46[/tex]
what is the importance of the quadratic formula?
Which pairs of variables have a linear relationship check all that apply
Answer:
Can I have the options? I cant check all that apply if i don't have options.
Step-by-step explanation:
Heidi takes 45 minutes to cover a distance of 5.4 miles on a treadmill. Find the average distance covered by Heidi in one minute.
Answer:
Step-by-step explanation:
answer:heidi goes 0.12 miles a minute .
steps
average distance=time/miles
45/5.4
0.12
mark me as brainlest
Answer:
0.12 mile/minute
Step-by-step explanation:
Here you're being asked to find a unit rate.
Compute:
5.4 miles
--------------- = 0.12 mile/minute
45 min
This is the average distance covered in one minute.
In the special right triangle, the 30-60-90 triangle, the angles are 30°, 60°, and 90°. What are the ratios of the sides associated with this special triangle?
Answer:
1 : √3 : 2
Step-by-step explanation:
In the special right triangle, 30°-60°-90° triangle:-
Opposite side < Adjacent side < Hypotenuse.
1. The smallest side is opposite to angle 30°, also called opposite side.
2. Adjacent side is √3 times smallest side.
3. Hypotenuse is 2 times smallest side.
So the ratios of sides would be as follows:-
Opposite : Adjacent : Hypotenuse
1x : √3x : 2x
1 : √3 : 2
What is the product of z1 and its conjugate?
From the plot, we see that [tex]z_1=-4-3i[/tex]. Its conjugate would be [tex]\bar{z_1}=-4+3i[/tex], so that the product of the two is
[tex]z_1\bar{z_1}=(-4-3i)(-4+3i)=16-9i^2=16+9=25[/tex]
More generally, note that if [tex]z=x+yi[/tex], then
[tex]z\bar z=(x+yi)(x-yi)=x^2+y^2=|z|^2[/tex]
Answer:
The product of z1 and its conjugate is 25.
Step-by-step explanation:
In the given graph x-axis represents the real axis and y-axis represents the imaginary axis.
The end point of z1 are (0,0) and (-4,-3). So, the complex number z1 is defined as
[tex]z_1=x+iy=-4-3i[/tex]
The conjugate of z1 is
[tex]\overline {z_1}=x-iy=-4+3i[/tex]
The product of z1 and its conjugate is
[tex]z_1\overline {z_1}=(-4-3i)(-4+3i)[/tex]
[tex]z_1\overline {z_1}=-4(-4+3i)-3i(-4+3i)[/tex]
[tex]z_1\overline {z_1}=16-12i+12i-(3i)^2[/tex]
[tex]z_1\overline {z_1}=16-9(i)^2[/tex]
[tex]z_1\overline {z_1}=16-9(-1)[/tex] [tex][\because i^2=-1][/tex]
[tex]z_1\overline {z_1}=16+9=25[/tex]
Therefore the product of z1 and its conjugate is 25.
A sample of students from an introductory psychology class were polled regarding the number of hours they spent studying for the last exam. All students anonymously submitted the number of hours on a 3 by 5 card. There were 24 individuals in the one section of the course polled. The data was used to make inferences regarding the other students taking the course. There data are below:
4.5 22 7 14.5 9 9 3.5 8 11 7.5 18 20 7.5
9 10.5 15 19 2.5 5 9 8.5 14 20 8
Compute a 95 percent confidence interval. What does this tell us?
Answer:
[tex]8.68,13.16[/tex]
Step-by-step explanation:
Hint- First we have to calculate the mean and standard deviation of the sample and then applying formula for confidence interval we can get the values.
Mean of the sample is,
[tex]\mu=\dfrac{\sum _{i=1}^{24}a_i}{24}=\dfrac{262}{24}=10.92[/tex]
Standard deviation of the sample is,
[tex]\sigma =\sqrt{\dfrac{\sum _{i=1}^{24}\left(x_i-10.92\right)^2}{24-1}}=5.6[/tex]
The confidence interval will be,
[tex]=\mu \pm Z\dfrac{\sigma}{\sqrt{n}}[/tex]
Here,
Z for 95% confidence interval is 1.96, and n is sample size which is 24.
Putting the values,
[tex]=10.92 \pm 1.96\cdot \dfrac{5.6}{\sqrt{24}}[/tex]
[tex]=10.92 \pm 2.24[/tex]
[tex]=8.68,13.16[/tex]
Confidence interval is used to express the degree of uncertainty associated with a sample.
95% confidence interval means that if we used the same sampling method to select different samples and calculate an interval, we would expect the true population parameter to fall within the interval for 95% of the time.
Final answer:
A 95 percent confidence interval is computed using the t-distribution and provides an estimated range where we can expect the population mean to lie. It reflects the level of certainty, but does not suggest that it contains 95 percent of the data.
Explanation:
To compute a 95 percent confidence interval for the number of hours students spent studying, we first need to calculate the mean and standard deviation of the given sample data. Then we can use the t-distribution because the sample size is small and we don't know the population standard deviation. The formula to calculate a confidence interval is: ± t× (s/√n), where t is the t-score associated with our confidence level and degrees of freedom (n-1), s is the sample standard deviation, and n is the sample size.
Confidence intervals provide a range of values that we are a certain percentage sure (95% in this case) contains the population mean. It is not correct to think that a 95% confidence interval contains 95% of the data. Instead, it means that if we were to take many samples and build a confidence interval from each of them, 95% of those intervals would contain the true population mean. Therefore, the confidence interval gives an interval estimate for where the population mean lies, not a precise value.
Which shows one way to determine the factors of x3 – 12x2 – 2x + 24 by grouping?
Answer:
(x - 12)(x^2 - 2) or (x - 12)(x + sqrt(2) ) (x - sqrt(2))
Step-by-step explanation:
It looks like grouping is the quickest way to do this.Put brackets around the 1st and second trems and around the 3rd and 4th terms.(x^3- 12x^2) - (2x -24) Pull out x^2 from the first 2 terms and 2 from the last 2.x^2(x - 12) - 2(x - 12) Now pull out x - 12 which is common on either side of the minus(x - 12)(x^2 - 2) You can leave this as it is, or you can factor x^2 - 2 intox^2 - 2: (x + sqrt(2) ) ( x - sqrt(2) )(x - 12)(x - sqrt(2) ) (x + sqrt(2) )Just to show you that these are possible factors, I've included a graph.The sqrt(2) = 1.4142The exact answer depends on your answer choices.−29−(−13÷35)
Please help me
Answer:
Step-by-step explanation:
you would use the distributive property, so the answer should be..... -377/1015, OR -13/35 BTW i'm not completely sure this is correct. Im not a calculator. But I think Im correct
please help me find the answer
Answer:
12
Step-by-step explanation:
A parallelogram has 4 sides. Opposite sides of a parallelogram are parallel and congruent.
Since one side has length p, its opposite side also has length p.
Since one side has length 17 ft, its opposite side also has length 17 ft.
The lengths of the 4 sides are p, p, 17 ft, and 17 ft.
The perimeter is the sum of the lengths of the sides, and it is 58 ft.
p + p + 17 + 17 = 58
2p + 34 = 58
2p = 24
p = 12
Mariana tried to drink a slushy as fast as she could. She drank the slushy at a rate of 4.5 milliliters per second. After 17 seconds, 148.5 milliliters of slushy remained. How long did it take for her to finish the slushy if she originally started with 225 milliliters? Who finished first?
This is what i did to get the answer.
225/ 4.5 = 50 seconds to finish the slushy.
Who can help me answer this question ASAP please and thank you please show work
I'll do the first one to get you started
So we have g(f(x)) which means that we start with g(x) and replace the 'x' with 'f(x)' to get g(f(x))
g(x) = ( x - 4 )/2
g(f(x)) = ( f(x) - 4)/2 .... replace every x with f(x)
g(f(x)) = (2x+4-4)/2 .... replace f(x) on the right side with 2x+4
g(f(x)) = (2x+0)/2
g(f(x)) = (2x)/2
g(f(x)) = 1x/1
g(f(x)) = 1x
g(f(x)) = x
Let me know if you need help with the other one.
Which of the following is not part of the protein synthesis?
replication
transcription
respiration
translation
Answer: The correct answer is respiration.
Respiration can be defined as the biochemical process, by which cells obtain energy as ATP from oxygen and glucose, with release of carbon dioxide, water. This process is not at all involved in the synthesis of protein, as it produces energy for the cells of the body.
What is the unit price if a dozen rolls cost 3.99?
Answer:
$.33 cents per roll
Step-by-step explanation:
a dozen rolls are 12 rolls
To find the unit prices, take the price and divide by the number of rolls.
$3.99/12
$.3325
But this is money so we round to the nearest cent
$.33 cents per roll
Rewrite the function by completing the square F(x)=2x^2+13x+20
Answer:
[tex]F(x)=2\left(x+\dfrac{13}{4}\right)^2-\dfrac{9}{8}.[/tex]
Step-by-step explanation:
Consider the function [tex]F(x)=2x^2+13x+20.[/tex]
Rewrite it as follows:
[tex]F(x)=(2x^2+13x)+20=2\left(x^2+\dfrac{13}{2}x\right)+20=2\left(x^2+\dfrac{13}{2}x+\left(\dfrac{13}{4}\right)^2-\left(\dfrac{13}{4}\right)^2\right)+20=2\left(x^2+\dfrac{13}{2}x+\dfrac{169}{16}\right)-2\cdot \dfrac{169}{16}+20.[/tex]
Since
[tex]x^2+\dfrac{13}{2}x+\dfrac{169}{16}=\left(x+\dfrac{13}{4}\right)^2,[/tex]
you get
[tex]F(x)=2\left(x+\dfrac{13}{4}\right)^2+20-\dfrac{169}{8}=2\left(x+\dfrac{13}{4}\right)^2-\dfrac{9}{8}.[/tex]
Answer:
the correct answer is: f(x)=2(x+13/4)²+-9/8. i hope it help
Solve the following proportion: x-5:4 = 8:10. I NEED THIS DONE ASAP IM IN CLASS
A bag has 4 green marbles, 3 red marbles, and 3 yellow marbles. What is the probability that you pick a green marble, do not replace it, and pick a red marble?
Answer:
1/10
Step-by-step explanation:
Assuming there are 3 red marbles:
3/10 × 3/9 = 9/90 = 1/10
There are 3 red, that is where the first numerator comes from and there are 10 marbles so that is where the denominator comes from. There are 3 yellows, hence the second numerator but as we have taken a marble out there are now only 9 marbles in total.
Mrs Li is x years old Mr Li is 6 years older than Mrs Li. David is one third of Mr Li.
Write an expression in terms of x for Davids age and the Sum of their 3 ages giving your answer in simplest form.
One-hundred-fifty parents were surveyed. 26% said that their kids were naughty and 70% said their kid were nice. How many parents said their kids where nice? How many parents didn’t answer with either naughty or nice?
Answer:
105 parents said their kids were nice. 39 parents said their kids were naughty. 6 parents didn't answer.
Step-by-step explanation:
what is the image of (-9,3) when it is reflected across the line y = x?
Answer:
(3, -9)
Step-by-step explanation:
To reflect an image across the line y = x, (x, y) → (y, x).
(-9, 3) → (3, -9)
How to simplify fractions
Step-by-step explanation:
[tex]\frac{2}{3} + \frac{2}{9} \\\\\frac{6+2}{9}\\\\\frac{8}{9}[/tex]
16 adults and 40 students attended a charity event. The adults and students sat at 8 tables.
Question 1: Each table had the same number of adults how many adults are there?
Question 2: Each table had the same number of students. How many students sat at each table?
Question 3: How many people in all sat at each table?
Please answer all these questions and tell me that answer as soon as possible please and thank you!
Answer:
1) 16 adults
2) 2 adults at each table
3) 7
Step-by-step explanation:
Please help!!!! Last question i have left to do!!!! thanks
5.8=z/2.2
A) 127.6
B) 0.37
C) 3.7
D) 12.76
please help fast this is the only question I have left to do and cant figure it out
i need help tyx so much
Answer:
tax = $6.63
Step-by-step explanation:
We can find the tax by multiplying the original amount by the tax rate.
tax rate = 10 % = .1
tax = 66.30 * .10
= 6.63
To solve this problem, we need to figure out how much tax Peter will be paying, given that the tax rate is 10% and his purchase costs $66.30.
To do this, we must first convert 10% into a decimal. To do this, we must divide it by 100 (because it is a fraction out of a total of 100 percent), or simply move the decimal point two places to the left. Therefore, 10% = 0.10.
To find the tax amount, we must multiply the sales tax rate (10% or 0.10) by the purchase cost ($66.30). This gives us:
$66.30 * 0.10 = $6.63
Therefore, your answer is $6.63.
(A little tip: the method I used above can be used for any tax rates, but a trick for finding 10 percent of something is to move the decimal point of the cost one place to the left).
Hope this helps!