Taylor is a 35-year-old woman who has not yet planned for retirement. She would like to retire at age 70. Answer each question using complete sentences.
Part I: In what type of investment should Taylor deposit her money? Why?
Part II: At what age, or point in your life, would you like to start saving for retirement?
Part III: In what type of investments would you like to deposit your money into when you start saving for retirement? Why?
How much pure acid should be mixed with 6 gallons of a 50% acid solution in order to get a 70% acid solution?
Final answer:
To obtain a 70% acid solution, mix 4 gallons of pure acid with the existing 6 gallons of 50% acid solution.
Explanation:
To find out how much pure acid should be mixed with 6 gallons of a 50% acid solution to obtain a 70% acid solution, we use the concept of mixtures in percentage problems. Let x be the number of gallons of pure acid to be added.
Firstly, the amount of pure acid in the initial solution is 50% of 6 gallons, which is 3 gallons. When we add x gallons of pure acid, the total volume of the mixture becomes x + 6 gallons, and the total amount of pure acid is x + 3 gallons.
To have a 70% acid solution:
The total amount of pure acid divided by the total volume should equal 70%.
Therefore, the equation is:
(x + 3) / (x + 6) = 0.70
By solving for x:
x + 3 = 0.70(x + 6)
x + 3 = 0.70x + 4.20
x - 0.70x = 4.20 - 3
0.30x = 1.20
x = 1.20 / 0.30
x = 4 gallons
You need to mix 4 gallons of pure acid with the 6 gallons of 50% acid solution to end up with a 70% acid solution.
Verify the identity. Help please!!!
A new medical test provides a false positive result for hepatitis 2% of the time that is a perfectly healthy subject being tested for hepatitis will test as being infected 2% of the time. And research, the test is given to 30 healthy (not having hepatitis) subjects. Let X be the number of subjects who test positive for the disease
A. What is the probability that all 30 subjects will appropriately test as not being infected?
B. What are the mean and standard deviation of X?
C. To what extent do you think this is a viable test to use in the field of medicine?
If the relationship is linear do the variables have a positive or negative association?
a. the variables have a positive association.
b. the variables have a negative association.
c. the relationship is not linear.
To babysit one child, Fernando charges $10 to drive to the appointment plus $4 per hour. He saves 30% of the total amount he earns. Brenna charges $6 per hour and saves 25% of the total amount she earns. Which equation can be used to determine the number of hours, h, after which Fernando and Brenna will have saved the same amount of money?
Answer:
(C) 0.3(10 + 4h) = 0.25(6h)
Plz press the THANKS button.
given that A=43 degrees , B=82 degrees and c=28, solve triangle ABC. Round to the nearest hundredth. A) C= 93 degrees , b= 33.8 , a= 23.3 B) C= 55 degrees , b= 33.8 , a= 23.3 C) C= 55 degrees , b= 23.3 , a= 33.8 D) C= 93 degrees , b= 23.3 , a= 33.8
evaluate 3P4, I didn’t understand this question but if you know it would great if you could explain!!!
15,120
36
3,024
504
Answer:
3,024
Step-by-step explanation:
At a shoe store a sales person earns a weekly salary of $150.a salesperson is also paid $2.00 for each pair of shoes he or she sells during the week what is the algebraic expression
Answer:
150 + (2x)
Step-by-step explanation:
At a shoe store a sales person earns a weekly salary = $150.
He or she also paid for the sale of each pair of shoes = $2.00
Let the number of pairs of shoes sold be 'x'
the commission on the shoes sold = 2(x)
So the algebraic expression for her/his weekly pay would be
150 + (2x)
A and B have coordinates –2 and 10 on a number line. If it is marked off into 10 congruent segments, which one of the following coordinates is NOT one of the marked points? a. –0.8 c. 1.6 b. –0.6 d. 2.8
Answer:
b. - 0.6
Step-by-step explanation:
Since, the total coordinates from -2 to 10 = 10 - (-2) = 10 + 2 = 12,
Also, if it is divided into 10 congruent segments,
Then, the length of each segment = [tex]\frac{12}{10}[/tex] = 1.2,
That is, the difference between the marked point is 1.2,
So, the marked points from -2 to 10 are,
-2, -0.8, 0.4, 1.6, 2.8, 4.0, 5.2, 6.4, 7.6, 8.8, 10,
Hence, except -0.6 all points are the marked points,
Option b is correct.
There’s a positive correlation between the price a passenger pays for a train ticket and the number of stops the train makes during their trip.
Which variable is most likely the lurking variable that explains the correlation?
age of passenger
outside temperature
distance being traveled
expected time of arrival
Answer:
The variable that is most likely the lurking variable that explains the correlation is:
Distance being traveled.
Step-by-step explanation:
As we know that a lurking variable is a variable that correlates between the dependent and independent variable in a scatter plot or some other statistical model.
Hence, here as the distance traveled increases the number of stops would also increase and more passengers would come and hence the cost of ticket will increase.
Hence, the lurking variable is:
Distance being traveled.
The most likely lurking variable that explains the positive correlation between the price a passenger pays for a train ticket and the number of stops the train makes during their trip is distance being traveled.
Distance being traveled: Longer trips generally cost more, and longer trips are also more likely to include more stops. Therefore, the distance being traveled is a common factor influencing both the price of the ticket and the number of stops, leading to the observed positive correlation.The other variables are less likely to explain the correlation:
Age of passenger: This does not directly affect the number of stops or the ticket price.Outside temperature: This is unrelated to the ticket price and the number of stops a train makes.Expected time of arrival: While it could be related to the overall trip duration, it doesn't directly influence the number of stops or the price independently of the distance being traveled.Hence, the distance being traveled is the lurking variable most likely explaining the correlation between ticket price and the number of stops.
Look at the question on the first image then answer on the second image
The height reached by amal's rocket was 1/4 of the height reached by min's rocket. Amal's rocket REAched a height of 15 meters. Which equation could be used to find the height reached by min's rocket
The height reached by Min's rocket could be found by using the equation (1/4)*h = 15, where 'h' denotes the height of Min's rocket. Amal's rocket height is 1/4 of the height of Min's rocket.
Explanation:In the question, it is stated that the height of Amal's rocket is 1/4 of the height reached by Min's rocket. Since the height attained by Amal's rocket is given as 15 meters, we can establish an equation to find the height reached by Min's rocket. Let's denote the height of Min's rocket as h. We know that 1/4 of Min's rocket height equals Amal's rocket height. So it can be represented as:
(1/4)*h = 15
By solving this equation, we can find the height attained by Min's rocket.
Learn more about Height of Rockets here:https://brainly.com/question/29070000
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Juan visited a candy store and purchased 7 pounds of candy consisting of Atomic Fireballs and Gummi Bears. Atomic Fireballs cost $4.25 per pound and Gummi Bears were on sale for $1.25 per pound. Juan spent a total of $14.75, before taxes. Let x represent the number of pounds of Atomic Fireballs and y represent the number of pounds of Gummi Bears uan purchased. Which of the following graphically represents this situation?
Answer:
The 2nd graph correctly represents the situation.
Step-by-step explanation:
Let the number of Atomic Fireballs= x and the number of Gummi bears= y.
Now, Juan purchased total 7 pounds of candies.
So, [tex]x+y=7[/tex]
Also, the cost of Atomic Fireballs and Gummi bears is $4.25 and $1.25 per pound respectively.
Since, Juan spent total $14.75 before taxes.
Then, [tex]4.25x+1.25y=14.75[/tex]
That is, the system of equations is given by,
[tex]x+y=7[/tex]
[tex]4.25x+1.25y=14.75[/tex]
Plotting the equations, we get that,
The 2nd graph shown below correctly represents the situation.
What is the factorization of the polynomial below?
–x2 – 15x – 54
A. (x – 9)(x + 6)
B. (x + 9)(x + 6)
C. –1(x + 9)(x + 6)
D. (x + 9)(x – 6)
Answer:
Option C, -(x + 9)(x + 6) or,
-1(x + 9)(x + 6)
Explanation:
We can begin the factorization process by factoring out the negative -1 from each term in the polynomial. This changes the expression to:
-1(x² + 15x + 54)
This factored-out negative will follow all the way to the answer so any answer not containing a -1 factored out can eliminated. Options A, B, and D do not have this negative. Therefore, they are ruled out. But let's continue to confirm Option C.
With the polynomial within the parentheses in quadratic expression ax² + bx + c form, we start by finding which factor pair for the product and coefficient a and constant c has a sum equating to coefficient b. This may sound complicated but this is not the case in practice.
Coefficient a = 1
Constant c = 54
Coefficient b = 15
The product of a and b = 1(54) = 54
Now, we list factors of 54. I like to list them as factor pairs:
1, 54; 2, 27; 3, 18; 6, 9
Next, find which factor pair has a sum of 15. That would be 6 and 9. We now substitute these values as the coefficients b, separate the terms into pairs as binomials, and factor out their greatest common factors (GCF).
-(x² + 6x + 9x + 54)
-[(x² + 6x) + (9x + 54)]
The GCF between x² and 6x is x. The GCF between 9x and 54 is 9. So:
-[x(x + 6) + 9(x + 6)]
If the binomial within each set of parentheses matches, you have found the factors for your polynomial. They are the polynomial within the binomial within the parentheses and the GCFs that were factored out of each:
-x² - 15x - 54 = -(x² + 15x + 54) = -(x + 9)(x + 6)
Final answer:
The factorization of the polynomials [tex]-x^2 - 15x - 54[/tex] is obtained by finding two numbers that multiply to -54 and add up to -15, which are -9 and -6. The factored form is -1(x + 9)(x + 6).
Explanation:
The factorization of the polynomial [tex]-x^2 - 15x - 54[/tex] can be approached by looking for two numbers that multiply to give the product of the coefficient of x2 (which is -1) and the constant term (which is -54), and at the same time, add up to give the coefficient of x (which is -15). After finding such numbers, we can then express the polynomial in its factored form.
In this case, the numbers that satisfy these conditions are -9 and -6. Multiplying these gives 54 (which is the negative of the constant -54 when considering the leading negative sign of the polynomial), and adding them gives -15.
Therefore, the polynomial can be factored as -1(x + 9)(x + 6), which corresponds to answer option C.
A rectangular piece of sheet metal has a length that is 6 in. less than twice the width. a square piece 3 in. on a side is cut from each corner. the sides are then turned up to form an uncovered box of volume 1536 in. cubed find the length and width of the original piece of metal.
What constant term should be used to complete the square? x 2 - 5x + _____ = 7
25/4 is the anwser. i just took this test
Radical Expressions and Data Analysis Unit Portfolio
ALGEBRA 1 B
Directions: Complete each of the tasks outlined below. Task 1
For 7 days keep track of the number of pieces of mail you receive at your home.
a. Put your data into a frequency table having intervals of 0–4, 5–9, 10–14, and 15–19.
b. Use the frequency table to create a histogram of the data.
c. Doyounoticeanypatternsinthehistogram?
Task 2
a. Pick 9 different dog breeds and find their average weights. List each breed and weight. Find the mean, median, and mode of the data. Which measure of central tendency best describes the data? Explain your answer.
b. How much would a 10th dog have to weight for the average weight in part (a) to be 250 pounds? Explain how you determined your answer.
Task 3
Pick a city in Maryland and determine the average high temperatures for each month. Record this in a table.
a. Create a box-and-whisker plot for the data.
b. What is the median temperature?
c. 75%ofthetemperaturesarebelowwhatvalue?Howdoyouknow? d. 75% of the temperatures are above what value? How do you know? e. What conclusions can you draw about the temperature in Maryland?
What is the sum of the measures of the exterior angles of any convex polygon? A. 720 B. 180 C. 90 D. 360
How many ways are there to choose a committee of 7 people from a group of 10 people?
720
120
840
5040
Find an explicit rule for the nth term of the sequence.
2, -8, 32, -128, ...
Find the measure of an angle between 0 and 360 that is coterminal with 370°
Final answer:
To find an angle coterminal with 370° that is between 0 and 360 degrees, subtract 360° from 370°, yielding a coterminal angle of 10°.
Explanation:
To find the measure of an angle between 0 and 360 degrees that is coterminal with 370°, we simply subtract 360° from the given angle until the result falls within the desired range. Here is the calculation:
Start with the given angle: 370°.
Subtract 360° from 370° to find the coterminal angle: 370° - 360° = 10°.
The resulting angle of 10° is between 0° and 360° and is therefore the coterminal angle we are seaching for.
a physics student stands at the top of a hill that has an elevation of 56 meters. He throws a rock and it goes up in the air and then falls back past him and lands on the ground below the path of the rock can be modeled by the equation y=-0.04x^2+1.3x+56 where x is the horizontal distance in meters from the starting point on top of the hill and y is the height in meters of the rock above the ground. How far horizontally from the starting point will the rock land? Round to the nearest hundredth.
Jessica had m beads. She used 18 of them to make a necklace for her mom. Then she used the rest to make k bracelets for her friends, with the same number of beads in each bracelet. How many beads did she use to make each bracelet?
1) Which rate is the lowest price?
$2.50/5lb
$2.40/6lb
$3.00/6lb
$2.40/4lb
2)Select all that apply
Which rates are equivalent to 25 miles per gallon?
150miles/6gallons
50miles/1.5gallons
100miles/3.8gallons
75miles/3gallons
3) which speed is the fastest?
30miles/1hour
90miles/2hours
180miles/3hours
240miles/6hours
Please ASAP thank you:)
Answer:
5 points for this bruuuh
Step-by-step explanation:
Help ???!!!! ThankYou !!!
Si un ángulo de un rombo mide 39 grados , ¿ cuánto miden los demás ?
a total of 45mg of medication is dissolved in a solution containing 300ml. if 20ml of the solution are administered to a patient, how many milligrams of medication does the patient receive
A triangle has an angel of 25 degrees. The other two angles are in a ratio of 15:16. What are the measures of those two angles?
The world's biggest rubber band ball has a surface area of 27648. Using 3 as pi for both surface area and volume, estimate the volume of the ball.
Question 5 options:
358966
788428
442368
257854