Someone plz help been stuck on this question for the last 2 hours
Paul has $30,000 to invest. His intent is to earn 11% interest on his investment. He can invest part of his money at 7% interest and part at 13% interest. How much does Paul need to invest in each option to make a total 11% return on his $30,000?
7% interest =$?
13% interest =$?
Answer:
7% interest = $10000
13% interest = $20000
Step-by-step explanation:
Let the amount invested at 7% interest be x.
Let the amount invested at 13% interest be y.
Thus;
x + y = 30000 - - - (eq 1)
We want to find out how much Paul needs to invest in each option to make a total 11% return on his $30,000.
Thus;
0.07x + 0.13y = 0.11(30000)
Multiply through by 100 to get rid of the decimal;
7x + 13y = 0.11(30000 × 100).
7x + 13y = 330000 - - - (eq 2)
From eq 1, x = 30000 - y
Put this for x in eq 2 to get;
7(30000 - y) + 13y = 330000
210000 - 7y + 13y = 330000
6y = 330000 - 210000
6y = 120000
y = 120000/6
y = $20000
x = 30000 - 20000
x = $10000
Thus;
Amount invested at;
7% interest = $10000
13% interest = $20000
A produce manager inspects large truckloads of potatoes to determine the proportion with major defects (p). She intends to compute a 95% confidence interval for p. To do so, she selects an SRS of 50 potatoes from the more than 2,000 potatoes in the truck. Suppose that only 2 potatoes sampled are found to have major defects.
1. The P-value of her test is:_____.
a. 0.4082.
b. 0.0918.
c. 0.0400.
d. less than 0.0002.
2. Which of the assumptions for inference about a proportion are violated?
a. the data are an SRS from the population of interest.
b. the population is at least 10 times as large as the sample.
c. n is so large that both np0 and n(1-p0) are 10 or more, where p0 is the proportion with major defects if the null hypothesis is true.
d. there appear to be no violations.
3. A 95% plus four confidence interval for the true proportion of potatoes in the truck that have major defects is:____.
a. 0.06±0.026.
b. 0.06±0.051.
c. 0.077±0.026.
d. 0.077±0.051.
Answer:
1. 0.4082
2. The data are an SRS from the population of interest
3. 0.06 +- 0.051
Step-by-step explanation:
Hypothesis testing is carried out to give conclusion about data set. The p value determines whether to accept or reject the null hypothesis. Alternative hypothesis is created against the null hypothesis to test the observation of data.
The weights of newborn babies are distributed normally, with a mean of approximately 105 Oz and a standard deviation of 15 Oz. If a newborn baby is selected at random. What if the probably that the baby weighs less than 150 Oz? help please!! Also I need to round answer to nearest thousandth
Answer:
0.999 = 99.9% probability that the baby weighs less than 150 Oz.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
The weights of newborn babies are distributed normally, with a mean of approximately 105 Oz and a standard deviation of 15 Oz.
This means that [tex]\mu = 105, \sigma = 15[/tex]
What if the probabability that the baby weighs less than 150 Oz?
This is the pvalue of Z when X = 150. SO
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{150 - 105}{15}[/tex]
[tex]Z = 3[/tex]
[tex]Z = 3[/tex] has a pvalue of 0.999
0.999 = 99.9% probability that the baby weighs less than 150 Oz.
select two choices that are equivalent to 5v-12v+3v=
Answer:4v
Step-by-step explanation:
impact of humour in specific language structure
Answer:
Summary
Interest in the linguistics of humor is widespread and dates since classical times. Several theoretical models have been proposed to describe and explain the function of humor in language. The most widely adopted one, the semantic-script theory of humor, was presented by Victor Raskin, in 1985. Its expansion, to incorporate a broader gamut of information, is known as the General Theory of Verbal Humor. Other approaches are emerging, especially in cognitive and corpus linguistics. Within applied linguistics, the predominant approach is an analysis of conversation and discourse, with a focus on the disparate functions of humor in conversation. Speakers may use humor pro-socially, to build in-group solidarity, or anti-socially, to exclude and denigrate the targets of the humor. Most of the research has focused on how humor is co-constructed and used among friends, and how speakers support it. Increasingly, corpus-supported research is beginning to reshape the field, introducing quantitative concerns, as well as multimodal data and analyses. Overall, the linguistics of humor is a dynamic and rapidly changing field.Step-by-step explanation:
if a spider is 35 mm long. how many centimeters long is the spider?
Answer:
It is 3.5 cm long
Step-by-step explanation:
1 cm = 10mm
So divide 35 by 10
A. 2 sqrt 3
B. 4
C. 8
D. 4 sqrt 6
E. 12
Ce clasă ești sa văd daca te pot ajuta
4 (w+1) =-6 gsdfnvbsfgbsdfbsdfb
Answer: Hello There!!
w = -5/2
Step-by-step explanation:
4(w+1)=−6
Step 1: Simplify both sides of the equation.
4(w+1)=−6
(4)(w)+(4)(1)=−6(Distribute)
4w+4=−6
Step 2: Subtract 4 from both sides.
4w+4−4=−6−4
4w=−10
Step 3: Divide both sides by 4.
4w/4 = -10/4
Answer:
-10/4
Step-by-step explanation:
4(w+1)=−6
Step 1: Simplify both sides of the equation.
4(w+1)=−6
(4)(w)+(4)(1)=−6(Distribute)
4w+4=−6
Step 2: Subtract 4 from both sides.
4w+4−4=−6−4
4w=−10
Step 3: Divide both sides by 4.
4w/4 = -10/4
Pls help I’ll brainlest ASAP
Answer:
$180
Step-by-step explanation:
$180
Michael needs to save a 15 percent down payment for a car he wants to buy. He knows that cars of this make and model tend to sell for about $19,000. How much will he need to save?
Answer:
15 minutes or less can save you 15% or more on car insurance
Step-by-step explanation:
Gieko
What is the solution to x+4y=-1 and 2x + 5y=10??????
8 more than twice a number is greater than negative 18. Solve the inequality for the unknown number.
Answer:
x > -13
Step-by-step explanation:
Let x be the number
2x+8 > -18
Subtract 8 from each side
2x+8-8 > -18-8
2x> -26
Divide each side by 2
2x/2 > -26/2
x > -13
Answer:
x > -13
Step-by-step explanation:
Let x be the number
2x+8 > -18
Subtract 8 from each side
2x+8-8 > -18-8
2x> -26
Divide each side by 2
2x/2 > -26/2
x > -13
How to do this problem? Thank you!
forty percent of N is equal to two hundred forty. how do i write in number?
The number N whose forty percent is 240 is 600, or we say that 40% of 600 is 240
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
Thus, that thing in number is
[tex]\dfrac{a}{100} \times b[/tex]
For this case, we are specified that:
40% of N = 240
Since 40% of N is [tex]\dfrac{N}{100} \times 40[/tex], thus, we get
[tex]\dfrac{N}{100} \times 40 = 240[/tex] (as they both are same quantity, ie. 40% of N)
Now, solving it further to get value of N:
[tex]\dfrac{N}{100} \times 40 = 240\\\\\text{Multiplying 100 on both the sides}\\\\N \times 40 = 24000\\\\\text{Dividing both the sides by 40}\\\\N = 24000/40 = 600[/tex]
Thus, 40% of 600 is 240 or we say that the number N whose forty percent is 240 is 600
Learn more about percent here:
https://brainly.com/question/11549320
solve for x 0°<x<360
3cos2x +sinx=1
Step-by-step explanation:
3cos2x +sinx=1
3(1-2sin²x)+sinx=1
3-6sin²x+sinx=1
sinx(-6sinx+1)=1
either
sinx=1
sinx=sin(90)
:.x=90
or
-6sinx+1=1
-6sinx=1-1
sinx=0/-6
sinx=sin0,sin180
:.x=0,180and90
Tommie and Alethea plant a summer garden in their backyard. Alethea plants 3 rows of carrots for every 1 row of pepper plants. If Alethea plants 9 rows of carrots and Tommie plants twice that amount, who plants twice that amount, who plants more rows of pepper plants?
HELPPPP
Answer:
Tommie planted the most.
Tommie plants twice that amount, and Tommie plants more rows of pepper plants.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Alethea plants 3 rows of carrots for every 1 row of pepper plants.
And, Alethea plants 9 rows of carrots and Tommie plants twice that amount.
Here, Alethea plants 9 rows of carrots and Tommie plants twice that amount.
So, We get;
Tommie plants twice that amount, and Tommie plants more rows of pepper plants.
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ2
Leo has three pieces of ribbon. One piece is 4 yards long, another piece is 5 feet long, and the last piece is 10 inches long. How much ribbon does Leo have in all?
Can someone help me please?
Given:
A line segment AB.
A point is [tex]\dfrac{3}{10}[/tex] of the way from A to B.
To find:
The coordinates of that point.
Solution:
Section formula: If a point divide a line segment in m:n, then
[tex]Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]
From the given figure, it is clear that the two end points of the line segment are A(-4,-5) and B(12,4).
Let the unknown point be P. The point is [tex]\dfrac{3}{10}[/tex] of the way from A to B. It means,
[tex]\dfrac{AP}{AB}=\dfrac{3}{10}[/tex]
Let AP and AB are 3x and 10x, then
[tex]\dfrac{AP}{PB}=\dfrac{AP}{AB-AP}[/tex]
[tex]\dfrac{AP}{PB}=\dfrac{3x}{10x-3x}[/tex]
[tex]\dfrac{AP}{PB}=\dfrac{3x}{7x}[/tex]
[tex]\dfrac{AP}{PB}=\dfrac{3}{7}[/tex]
It means, point P divided the line segment in 3:7.
Using section formula, we get
[tex]P=\left(\dfrac{3(12)+7(-4)}{3+7},\dfrac{3(4)+7(-5)}{3+7}\right)[/tex]
[tex]P=\left(\dfrac{36-28}{10},\dfrac{12-35}{10}\right)[/tex]
[tex]P=\left(\dfrac{8}{10},\dfrac{-23}{10}\right)[/tex]
[tex]P=\left(0.8,-2.3\right)[/tex]
Therefore, the coordinates of the required point are (0.8, -2.3).
Is there any potential areas of bias or error due to the wording of this question, "Did you continue to use
marijuana after you realized using it was causing you problems with family, friends, or people at work or school?"
Janet, an experienced shipping clerk, can fill a certain order in 2 hours. Tom, a new clerk, needs 3 hours to do the same job.
Working together, how long will it take them to fill the order?
Answer:
1 hour and 15 minutes.
Step-by-step explanation:
Since Janet, an experienced shipping clerk, can fill a certain order in 2 hours, while Tom, a new clerk, needs 3 hours to do the same job, to determine how long will it take them to fill the order by working together you must perform the following logical reasoning:
Each of them will do half the work, so in principle, Janet will do her work in 1 hour, while Tom will do it in 1 hour and a half. Now, the remaining half hour that Tom has more than Janet can in turn be divided in two, with which each one will do their work in 15 minutes. Thus, the order will be ready in 1 hour and 15 minutes.
What is the equation for the volume of a Cylinder? And a can of baked beans is 11cm by 3.5cm, a can of soda pop is 13cm by 4cm. What is the difference between the volume of the baked beans and the volume of the soda pop? Please explain using math vocabulary, and how you solved this problem.
Answer:
volume = (Pi)(r^2)(height)
57.5 cm^3 difference in volume
Step-by-step explanation:
Assuming that the 3.5 cm and the 4 cm are diameters of the cans:
The radius of the baked beans can is one-half of the diameter and that would be 1.75 cm.
The radius of the soda can is one-half of the diameter and that would be 2 cm.
The formula for the volume of a cylinder is Pi times the radius squared times the height. (Pi)(r^2)(height)
Baked beans volume equals (3.14)(1.75^2)(11) = (3.14)(3.06)(11) = 105.78 cm^3
Soda can volume equals (3.14)(2^2)(13) = (3.14)(4)(13) = 163.28 cm^3
The soda can has more volume so:
163.28 cm^3 minus 105.78 cm^3 equals 57.5 cm^3 difference in volume.
How do I solve this
4+(3.7-x)=1.72
Answer:
x = 5.98
Explanation:
1. 4+(3.7−)=1.72
2. 4+(−+3.7)=1.72
3. 4−+3.7=1.72
4. 7.7−=1.72
5. −+7.7=1.72
6. −+7.7−7.7=1.72−7.7
7. −=−5.98
Then simplify to x =5.98
Chau bought 28 pounds of flour for $12.
How many dollars did he pay per pound of flour?
Answer:
Step-by-step explanation: 28 divided by 12 = $2.33 per pound of flour.
Give a practical interpretation of the estimate of the y-intercept of the regression line. For each additional room in the house, we estimate the appraised value to increase $74,800. We estimate the appraised value for any house to be $74,800. There is no practical interpretation, since a house with 0 rooms is nonsensical. For each additional room in the house, we estimate the appraised value to increase $17,800.
Answer:
The answer is "Option D"
Step-by-step explanation:
Please find the complete question in the attachment file.
House's valued worth (in milles) = 74.80 + 20.81 (number of rooms). It indicates that we will need to pay $ 20810 per additional amount throughout every actual room in the house. It is a complete risk, that becomes forecast to expand $20,810 for every additional part of the house, that's why choice D is correct.
Figure A is original and Figure B is the copy.
Answer:
scale factor = 3.5; missing side = 17.5 cm
Step-by-step explanation:
see attached image
need help with this, ASAP
simplify the expression 4x+2-1/2x
answer 41x
Step-by-step
Sam has saved 1400 cents from selling lemonade how many dollars does Sam have
Answer: $14.
Step-by-step explanation: 100 cents is equal to 1 dollar. 1400 cents divided by 100 cents = 14. Therefore, you have 14 dollars.
What do you get when you distribute the -4 to the (11 - 2x)
Solve for t.
45 = 5t + 45
Answer:
Submit Answer
Answer:
0
Step-by-step explanation:
45=5t+45
-45=-45
0=5t
/5
0=t
Hope this helped :)
Answer:
T=0
Step-by-step explanation:
Subtract 45 from both sides and then simplify then divide bith sides of the equation by the same term