The over all percent increase in Bill's stock over the two days is 4%
Step-by-step explanation:
The given is:
Bill buys a stock that decreases by 20% on the first dayOn the second day the stock increases by 30% of its value at the end of the first dayWe need to find what was the overall percent increase in Bill's stock over the two days
Assume that Bill buys the stock by $x
∵ Bill buys the stock by $x
∵ The stock decreases by 20% on the first day
- Find the 20% of x
∵ 20% × x = [tex]\frac{20}{100}[/tex] × x = 0.2 x
∴ The cost at the end of the 1st day = x - 0.2 x = 0.8 x
∵ The stock increases by 30% of its value at the end of the 1st day
- Find the 30% of 0.8 x
∵ 30% × 0.8 x = [tex]\frac{30}{100}[/tex] × 0.8 x = 0.3 × 0.8 x = 0.24 x
∴ The cost at the end of the 2nd day = 0.8 x + 0.24 x = 1.04 x
To find the percentage of increased find the increasing amount and divide it by the original cost, then multiply the quotient by 100%
∵ The increasing amount = 1.04 x - x = 0.04 x
∵ The percentage of increase = [tex]\frac{0.04x}{x}[/tex] × 100%
∴ The percentage of increase = 0.04 × 100% = 4%
The over all percent increase in Bill's stock over the two days is 4%
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Explain how you can rewrite the equation n+8=24 so that it involves subtraction rather than addiction
Answer:
n = 24 - 8.
Step-by-step explanation:
n + 8 = 24
Subtract 8 from each side:
n + 8 - 8 = 24 - 8
n = 24 - 8.
Find the numerical value, if x=3 and y=2 _____3x+5y-1___
2y+1
Answer:
9+10-1+4+1
25
Step-by-step explanation:
If DC = 10 centimeters, SR = 15 centimeters, and the area of ABCD is 72 square centimeters, then the area of PQRS is square centimeters.
The area of the figure PQRS can be found by applying the rule of areas in proportional shapes. The area of PQRS equals 32 square centimeters after rounding the calculated value.
Explanation:The given problem involves the calculation of area and the application of ratios. It mentions two figures, ABCD and PQRS, along with certain dimensions and the area of the first figure. To find the area of the figure PQRS, we apply a rule of ratios used in geometry that states the areas of two similar figures is equal to the square of the ratio of their corresponding sides.
The corresponding sides here are DC and SR. So the ratio of their areas would be (DC/SR)². Plugging in the values we get = (10 centimeters/15 centimeters)² which simplifies to 0.444 (after rounding).
Then, to find the area of PQRS, we multiply the area of ABCD (which is 72 square centimeters) with the calculated square of the ratio. Therefore, the area of figure PQRS is 72 * 0.444 which equals 31.968 square centimeters (rounded to 32 square centimeters).
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Paul bought 3 1/3 pounds of bananas and
apples. If he bought 1 4/5 pounds of apples,
how many pounds of bananas did he
buy?
Paul bought 23 / 15 pounds of bananas.
What are mathematical operations?Calculate the answer using a math operator is referred to as a mathematical operation.
Basic mathematical operations are addition, multiplication, subtraction and division.
Given that,
The total quantity of bananas and apples bought by Paul = 3 ¹/₃
Also, Paul bought 1 ⁴/₅ pounds of apples.
To find the quantity of bananas that Paul bought.
Use subtraction property,
Quantity of bananas = total quantity - quantity of apples
= 3 ¹/₃ - 1 ⁴/₅
= 10 / 3 - 9 / 5
= 50 - 27 / 15
= 23 / 15
The required quantity of bananas is 23 / 15.
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HELP ASAP PLZ
How many sides does a polygon have if the sum of its interior angles is 9000 degrees?
Answer:
52 sides
Step-by-step explanation:
The only way I know how to do this is to create one fraction which is a combination of 2 steps used when 1 of the interior angles is known.
Formula
360/(180 - 9000/s ) = s
Multiply denominator and numerator on the left by s.
360 * s
======= = s
s* (180 - 9000/s)
Remove the brackets on the denominator
360s
================ =s
180s - 9000
Cancel the numerators s's.
360 / (180s - 9000) = 1
Multiply both sides by 180s - 9000
360 =180s - 9000
Add 9000 to both sides
360 + 9000 = 180s
9360 = 180s
Divide by 180
9360/180 = 180/180 s
s = 52
Solve this equation.
5x-2y=3
y=2x
Answer:
3
Step-by-step explanation:
5x-2y=3 when: y=2x
1. Plug in the y-value (y=2x) into the equation (5x-2y=3). The equation should then look like 5x-2(2x)=3
2. Simplify:
5x-2(2x)=3
5x-4x=3
1x=3
x=3
Check:
5x-2(2x)=3 (plug in the x-value you solved for: 3)
5(3)-2×2(3)=3
15-2×6=3
15-12=3
3=3
Hope this helped !
Cheers, Z
What is the range of the function graphed below?
The range is the value of y in the graph so the range of the function graphed below is -∞ < y ≤ 2.
We have,
The range of a function on a graph is the y-values the graph touches.
Now,
From the graph,
There are two parts the graph touches the y-values.
- From -∞ to 0
- From 0 to 2
This can be written in an interval as:
(-∞, 2]
Thus,
The range of the function is (-∞, 2].
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Sara has a son and a daughter – Billy and Jane. Billy is five times as old as Jane. Their mother is now three times as old as Billy, and in 2 years she will be eight times as old as Jane. Find the present age of the mother.
Please solve and show ur work. If u do, I will make u brainliest (if u r correct)
PLEASE HELP
Answer:
30 years old.
Step-by-step explanation:
Here's what we know.
B=5J
M+2=8J+16
M=3B
So now let's solve using substitution.
M+2=8J+16
M=8J+14
But we know that M=3B
3B=8J+14
And we know B=5J
3*5J=8J+14
15J=8J+14
7J=14
J=2
Now, we can plug it into the M+2=8J+16
M+2=2*8 +16
M+2=16+16
M+2=32
M=30
Hope you enjoyed.
Answer:
30 years old
Step-by-step explanation:
look at the person above me he is right
a teaspoon of common table salt contains about 2,000 mg of sodium. how many grams of sodium is this?
Answer:
2 grams
Step-by-step explanation:
multiply by 1000
Echo is creating a garden that is 36 feet wide and can fit one row of shrubs. Each shrub is 4.5 feet wide. Each shrub costs $15.32. She plants the maximum number of shrubs for the garden.
What is the total cost for Echo’s shrubs?
Answer:
Echo can plant a maximum of 8 shrubs.
The total cost for Echo's shrubs is = 8 [tex]\times[/tex] $15.32 = $122.56
Step-by-step explanation:
i) Garden is 36 feet wide
ii) Each shrub is 4.5 feet wide.
iii) therefore the maximum number of shrubs that can be planted are
[tex]= \frac{36}{4.5} = 8[/tex]
Therefore Echo can plant a maximum of 8 shrubs.
Therefore the total cost for Echo's shrubs is = 8 [tex]\times[/tex] $15.32 = $122.56
NEED HELP ASAP.
Two robots can do a task in 5 min, working together. The first robot, working alone, can fo the task in 15 min. How many minutes will the second robot, working alone, to do the task?
The second robot working alone would spend 7.5 minutes to do the task.
EquationEquation is used to show the relationship between two or more numbers and variables.
Let y represent the rate at which the first robot work and x represent the rate that the second robot work.
Two robots can do a task in 5 min, working together. Hence:
(1/x + 1/y)5 = 1 (1)The first robot, working alone, can for the task in 15 min. hence y = 15 min.
(1/x + 1/15)5 = 1
5/x + 1/3 = 1
x = 7.5 minutes
The second robot working alone would spend 7.5 minutes to do the task.
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The second robot working alone would spend 7.5 minutes to do the task.
To find the time it takes for the second robot to complete the task alone, we can utilize the concept of rate. Here's how:
Define rates:
Let R be the combined rate of both robots working together. We know they can complete the task in 5 minutes, so their combined rate is R = 1/5 tasks per minute (since rate = work done / time taken).
Let R1 be the rate of the first robot working alone. We know it takes him 15 minutes to complete the task, so R1 = 1/15 tasks per minute.
Relate rates:
The second robot's rate (R2) can be found by subtracting the first robot's rate from the combined rate: R2 = R - R1.
Calculate R2:
Substituting the known values: R2 = (1/5) - (1/15) = 2/15 tasks per minute.
Find time taken by second robot:
To find the time (T2) it takes for the second robot to complete the task alone, we can use the formula: T2 = 1 / R2.
Substituting the calculated rate: T2 = 1 / (2/15) = 15/2 = 7.5 minutes.
Therefore, the second robot will take 7.5 minutes to do the task alone.
Ronald and Tyler met for dinner in downtown Newport. Ronald did flat-rate valet parking for $12. Tyler went to another valet and paid $4 up front and $4 for every hour, including the first hour. Ultimately, the friends ended up paying the same amount. How long did they stay? How much did each one pay?
Both the friends stayed for 2 hours. Each one paid $12.
Step-by-step explanation:
Given,
Amount paid by Ronald = $12
Amount paid by Tyler upfront = $4
Amount per hour = $4
Let,
x be the number of hours.
R(x) = 12
T(x) = 4x+4
As both the friends paid same;
T(x) = R(x)
[tex]4x+4=12\\4x=12-4\\4x=8[/tex]
Dividing both sides by 4
[tex]\frac{4x}{4}=\frac{8}{4}\\x=2[/tex]
Putting x=2 in T(x)
T(2) = 4(2) + 4 = 8+4 = 12
Both the friends stayed for 2 hours. Each one paid $12.
Keywords: function, division
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the sum of two numbers is 15. if one number is subtracted from the other, the result is -3. find the numbers
Answer:
The numbers are 6 and 9
Step-by-step explanation:
Let the two numbers be x and y.
Given :
The sum of two numbers [tex]x+y=15[/tex] equation:1
Also the difference of x and y [tex]x-y= -3[/tex] equation:2
On solving equation:2
[tex]x=y-3[/tex] equation:3
Putting this value of x in equation 1.
[tex]x+y=15\\\\(y-3)+y=15\\2y-3=15\\2y=15+3\\2y=18\\y=18/2\\y=9[/tex]
Putting value of y in equation:3 to find x
[tex]x=y-3\\x=9-3\\x=6[/tex]
The ratio of fish to hamsters is 5:3 there are 48 pets total how many of each type of pet are there
Simplify...simplify.... help please!
Answer:
the second one
Step-by-step explanation:
7. If 40% of a given number is 8, then what is 15% of the
given number?
A. 1.2
B. 1.8
C. 3.0
D. 5.0
E. 6.5
Answer:
it is C
Step-by-step explanation:
40% of 20 is 8
so 15% of 20 is 3
7/8 x+ 3/4 x+ 7/16 x− 1/16 = 5/8
Answer:
Therefore [tex]x =\frac{1}{3}[/tex]
Step-by-step explanation:
[tex]\frac{7}{8} x+\frac{3}{4} x+\frac{7}{16} x-\frac{1}{16} =\frac{5}{8}[/tex]
[tex]\Leftrightarrow \frac{7}{8} x+\frac{3}{4} x+\frac{7}{16} x =\frac{5}{8}+\frac{1}{16}[/tex]
[tex]\Leftrightarrow \frac{14x+12x+7x}{16} =\frac{10+1}{16}[/tex] [ L.C.M of 8,4,16 =16 and L.C.M of 8,16 =16]
[tex]\Leftrightarrow \frac{33x}{16} =\frac{11}{16}[/tex]
[tex]\Leftrightarrow x =\frac{11\times 16}{16\times 33}[/tex]
[tex]\Leftrightarrow x =\frac{1}{3}[/tex]
Therefore [tex]x =\frac{1}{3}[/tex]
To secure your financial future, you must have some source of income. While income can be earned in a variety of ways, most people earn their income by working. Suppose you're offered two jobs. One pays a salary of
$45,000 a year, the other pays $15 an hour, with potential to earn time and a half for any hours that exceed your base hours. Time and a half is 1.5 times your standard rate of pay.)
What other information do you need before you can make an educated decision? Assuming you have the information you need, which option would you choose? Why? State all of your assumptions. Are there other factors to
consider besides rate of pay when finding work? If so, what are they?
To make an educated decision between the two job offers, you need to consider factors such as the number of hours worked, additional benefits, potential for overtime, job satisfaction, career growth opportunities, and work-life balance.
Explanation:To make an educated decision, there are a few factors to consider when comparing these two job offers. First, you need to know the number of hours you will be working in a year for both jobs. Second, you need to know if there are any additional benefits, such as health insurance or retirement plans, offered with each job. Third, you need to consider the potential for overtime hours and how often you would work them.
Let's assume that the first job pays $45,000 for working 40 hours a week, 52 weeks a year, with no overtime. The second job pays $15 per hour for 40 hours a week, 52 weeks a year, and you can potentially earn time and a half for any hours worked beyond the 40 hours.
If the second job offers consistent overtime hours, then it could potentially provide a higher income compared to the first job. However, if the overtime hours are not guaranteed or if you prefer the stability of a fixed salary, then the first job with a salary of $45,000 would be a better option. Other factors to consider when finding work include job satisfaction, career growth opportunities, and work-life balance.
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Solve
-12 = 2x + 2
Solve
x/-2 +7 = 1
Solve
x/1.7 - 2.7 = 3.5
Solve
-2x + 4 = 20
Answer:
-7
12
10.54
-8
Step-by-step explanation:
The length of a rectangle is 6 inches more than its width, and its perimeter is 45 inches. Explain how to set up the equations and solve for the length and width of the rectangle.
Thank you so much please help asap!!
Answer:
The length of rectangle is 14.25 inches and the width of rectangle is 8.25 inches
Step-by-step explanation:
we know that
The perimeter of rectangle is equal to
[tex]P=2(L+W)[/tex]
[tex]P=45\ in[/tex]
so
[tex]45=2(L+W)[/tex]
simplify
[tex]22.5=L+W[/tex] -----> equation A
The length of a rectangle is 6 inches more than its width
so
[tex]L=W+6[/tex] ----> equation B
Solve the system by substitution
substitute equation B in equation a
[tex]22.5=(W+6)+W[/tex]
solve for W
[tex]22.5=2W+6\\2W=22.5-6\\2W=16.5\\W=8.25\ in[/tex]
Find the value of L
[tex]L=W+6[/tex]
substitute the value of W
[tex]L=8.25+6=14.25\ in[/tex]
therefore
The length of rectangle is 14.25 inches and the width of rectangle is 8.25 inches
Mrs. Cooper wants a two-bedroom apartment so
her daughter can have her own bedroom. She also
wants a parking space. Her income is $2,960 a
month. Which apartment should she choose?
Final answer:
To determine which apartment Mrs. Cooper should choose, first list all available apartments with two bedrooms and a parking space. Next, compare the monthly rents to her income, aiming to spend no more than 30% on rent, and then consider other monthly expenses before making a final decision.
Explanation:
The student's question relates to determining which apartment Mrs. Cooper should choose based on her monthly income and her specific requirements of having a two-bedroom apartment and a parking space. Unfortunately, the question does not provide a list of available apartments with their respective rents, so I can't provide a specific recommendation. However, I can guide the student on how to make the decision.
First, Mrs. Cooper should list each available apartment that meets her criteria of having two bedrooms and a parking space. Next, she should determine the monthly rent for each of these apartments. Having this, she should compare the rent prices against her monthly income of $2,960 keeping in mind that a general rule of thumb is not to spend more than 30% of one's income on rent, which in her case would be $888 per month.
It is also important for Mrs. Cooper to account for additional monthly expenses (like utilities, groceries, and any other recurring payments) when determining affordability. If there are any apartments that fit these financial parameters, Mrs. Cooper can then choose the one that best fits her other personal preferences or needs.
What are the coordinates of the x-intercepts of the parabola y = x² - 8x + 15?
(3, 0) and (5, 0)
(3, 0) and (-5, 0)
(-3, 0) and (5, 0)
(-3, 0) and (-5, 0)
Answer:
(3, 0) and (5, 0)
Step-by-step explanation:
we have
[tex]y=x^{2}-8x+15[/tex]
we know that
The x-intercepts are the values of x when the value of y is equal to zero
so
For y=0
[tex]x^{2}-8x+15=0[/tex]
The formula to solve a quadratic equation of the form
[tex]ax^{2} +bx+c=0[/tex]
is equal to
[tex]x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}[/tex]
in this problem we have
[tex]x^{2}-8x+15=0[/tex]
so
[tex]a=1\\b=-8\\c=15[/tex]
substitute in the formula
[tex]x=\frac{-(-8)\pm\sqrt{-8^{2}-4(1)(15)}} {2(1)}[/tex]
[tex]x=\frac{8\pm\sqrt{4}} {2}[/tex]
[tex]x=\frac{8\pm2} {2}[/tex]
[tex]x=\frac{8+2} {2}=5[/tex]
[tex]x=\frac{8-2} {2}=3[/tex]
so
x=3, x=5
therefore
The x-intercepts are (3,0) and (5,0)
If the volume of the prism is 294 cubic inches, what is the area of the base
Answer:49
Step-by-step explanation:
294/6
=49
Answer:
See Explanation Below
Step-by-step explanation:
Question is incomplete.
(The height of the prism is missing and no attachment is provide)
However, I'll solve on a general rule.
Given
Volume of prism, V = 294in³
The volume of a prism is calculated multiplying the base area by the height of the prism.
Let's represent the base area by B and the height by H.
Mathematically,
V = B * H.
Make B the subject of formula
B = V/H
Substitute 294 for V.
The expression becomes
B = 294/H
Now, let's assume the height is 6 inches.
The expression for base area becomes
B = 294/6
B = 49 in²
What is the value of x in the equation 2(x+3)=4(x-1) a.1 b.2 c.3 d.5
Answer:
5
Step-by-step explanation:
2(x+3)=4(x-1)
2x+6=4x-4
6=4x-2x-4
6=2x-4
2x=6+4
2x=10
x=10/2
x=5
Look at the following number sequence.
6, 9, 12, 15, .
Based on the pattern, what are the next two terms?
16, 19
21, 24
18, 21
18, 135
Answer:
18, 21
Step-by-step explanation:
There is a difference of 3 between any two consecutive term ( succeeding - preceding)
Hence 15 + 3 = 18
& 18 + 3 = 21 are the required terms.
Answer: C.) 18, 21
Step-by-step explanation:
Solve the following system of
equations:
y=47+ 3x
y=8+0.5x
The system of equations is solved by setting the two equations equal to each other and solving for x followed by solving for y using the obtained x value. The solution is x = -15.6 and y = 0.2.
Explanation:The student is asking to solve a system of two linear equations:
y = 47 + 3xy = 8 + 0.5xTo find the solution, we need to set the two equations equal to each other since they both equal y:
47 + 3x = 8 + 0.5x
Now, let's solve for x:
Subtract 0.5x from both sides: 47 + 2.5x = 8Subtract 47 from both sides: 2.5x = -39Divide both sides by 2.5: x = -39 / 2.5Calculate x: x = -15.6Now that we have x, we can solve for y using either of the original equations:
y = 8 + 0.5(-15.6)
Calculate y:
y = 8 - 7.8
y = 0.2
Therefore, the solution to the system of equations is x = -15.6 and y = 0.2.
what is 5 times 345 plus 34
Answer:
1759
Step-by-step explanation:
multiply, then add
Answer:
1759
Step-by-step explanation:
5*354=1725
1725+34=1759
A lender requires a minimum down payment of 18% of the value of the home. You have $22,000 cash available to use as a down payment toward a home. Determine the maximum home value that you can finance.
The maximum amount that can be financed is $156,250.
The maximum home value
Minimum down payment required by the lender = 16% of the value of home
Available cash in hand = $25,000
Now,
the maximum amount of down payment that can be paid = $25,000
let the maximum amount that can be financed is 'x'
also,
16% of x = $25,000
or
0.16 × x = $25,000
or
x = [tex]\frac{\$ 25,000}{0.16}[/tex]
or
x = $156,250.
Hence, the maximum amount that can be financed is $156,250.
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One group (A) contains 615 people. Three-fifths of the people in group A will be selected to win $50 fuel cards. There is another group (B) in a nearby town that will receive the same number of fuel cards, but there are 526 people in that group. What will be the ratio of nonwinners in group A to nonwinners in group B after the selections are made? Express your ratio as a fraction or with a colon.
Hi, please help and explain! :)
What is the area of a regular hexagon with a side length of 5in and an apothem of 4.33in?
Answer:
[tex]A=64.95\ in^2[/tex]
Step-by-step explanation:
we know that
A regular hexagon can be divided into six equilateral triangles
so
The area of a regular hexagon is the same that the area of six congruent equilateral triangles
The area of one equilateral triangle in the regular hexagon is equal to
[tex]A=\frac{1}{2}(b)(h)[/tex]
where
b is the base of triangle (the length of the regular hexagon)
h is the height of triangle (the apothem of the regular hexagon)
so
[tex]b=5\ in\\h=4.33\ in[/tex]
substitute
[tex]A=\frac{1}{2}(5)(4.33)=10.825\ in^2[/tex]
Multiply the area of one triangle by 6 to obtain the area of the regular hexagon
[tex]A=10.825(6)=64.95\ in^2[/tex]