Answer:
$499
Step-by-step explanation:
Since the price was reduced from an amount which is $2,498. You have to take that amount and the other amount which is $1999 and subtract them both.
2489-1999=499
(When you get your answer,make sure to add the dollar sign.)
The price was reduced by $499.
From a club with 12 members, how many ways could you choose a committee of 5?
Step-by-step explanation:
that is 12 over 5
12! / (5! × (12-5)!) = 12×11×10×9×8/5×4×3×2 =
= 11×9×8 = 792
1) A very lucrative savings account earns 2.8% annual interest, compounded monthly. It is currently worth $10,427.39. How much was it worth a year and a half ago?
926+729299277=5289+83783
If the Owen family has a child in two years, how much can they expect to spend, per year, to raise the child from its birth to when it is five years old?
Answer: A. 65,250+139,560= 204,810. 204,810/18=11,378
I hope it is right
Answer:
The answer would be 13,050
Step-by-step explanation:
In order to get the answer, you have to do 65,250 divided by 5 years and you should get 13,050 on your calculator.
Whats the area and the perimeter of this shape. show calculations
Answer:
The answer is 15 cm
Step-by-step explanation:
as one square is 1 cm and there are 15 squares used for this shape then it is 15 cm
A student is failed due to 10 marks after obtaining 90 marks in full marks of 250. what percentage marks does he require to pass?
Answer:40
Step-by-step explanation:
1 pts
Compute the total amount accumulated if you invested $850 for 4 years at 2.4% compounded
semiannually. Round your answer to the nearest cent and include '$' in your response.
9514 1404 393
Answer:
$935.11
Step-by-step explanation:
The amount is given by the formula ...
A = P(1 +r/n)^(nt) . . . P invested at rate r for t years compounded n per year
A = $850(1 +0.024/2)^(2·4) = $935.11
The amount accumulated will be $935.11 after 4 years.
what is -4 3/4 = x - 1 1/5
Answer:
12.95 or in fraction form 259/20Step-by-step explanation:
Do you want to know how to write the decimal number 12.95 as a fraction?
Here we will show you step-by-step how to convert 12.95 so you can write it as a fraction.
You can take any number, such as 12.95, and write a 1 as the denominator to make it a fraction and keep the same value, like this:
12.95 / 1
To get rid of the decimal point in the numerator, we count the numbers after the decimal in 12.95, and multiply the numerator and denominator by 10 if it is 1 number, 100 if it is 2 numbers, 1000 if it is 3 numbers, and so on.
Therefore, in this case we multiply the numerator and denominator by 100 to get the following fraction:
1295 / 100
Then, we need to divide the numerator and denominator by the greatest common divisor (GCD) to simplify the fraction.
The GCD of 1295 and 100 is 5. When we divide the numerator and denominator by 5, we get the following:
259 / 20
Therefore, 12.95 as a fraction is as follows:
259 / 20
Subtraction as Adding the Opposite
the ratio of collectible pennants kyle owns to pennants that yasmine owns is 3:2 yasmine has 36 pennants . How will the ratio of kyles pennants to yasmines pennants change if they both sell half of their pennants Explain
Answer:
If they both sell half then Kyle would have 1.5:1 and Yasmine would have 18 pennants.
Step-by-step explanation:
It will change because if they both sell half, they would have to multiply by .05 or divide by 2 because that is half of something.
3/2 or 3*0.5 = 1.5
2/2 or 2*0.5 = 1
36/2 or 36*0.5 = 18
So Kyle would have 1.5:1 pennants left and Yasmine would have 18 pennants left.
[tex] \displaystyle \int \limits_{0}^{ \frac{ \pi}{2} } \tt\tan (x) \ln ( \sin (x))[/tex]
Let [tex]x = \arcsin(y)[/tex], so that
[tex]\sin(x) = y[/tex]
[tex]\tan(x)=\dfrac y{\sqrt{1-y^2}}[/tex]
[tex]dx = \dfrac{dy}{\sqrt{1-y^2}}[/tex]
Then the integral transforms to
[tex]\displaystyle \int_{x=0}^{x=\frac\pi2} \tan(x) \ln(\sin(x)) \, dx = \int_{y=\sin(0)}^{y=\sin\left(\frac\pi2\right)} \frac{y}{\sqrt{1-y^2}} \ln(y) \frac{dy}{\sqrt{1-y^2}}[/tex]
[tex]\displaystyle \int_{x=0}^{x=\frac\pi2} \tan(x) \ln(\sin(x)) \, dx = \int_0^1 \frac{y}{1-y^2} \ln(y) \, dy[/tex]
Integrate by parts, taking
[tex]u = \ln(y) \implies du = \dfrac{dy}y[/tex]
[tex]dv = \dfrac{y}{1-y^2} \, dy \implies v = -\dfrac12 \ln|1-y^2|[/tex]
For 0 < y < 1, we have |1 - y²| = 1 - y², so
[tex]\displaystyle \int_0^1 \frac{y}{1-y^2} \ln(y) \, dy = uv \bigg|_{y\to0^+}^{y\to1^-} + \frac12 \int_0^1 \frac{\ln(1-y^2)}{y} \, dy[/tex]
It's easy to show that uv approaches 0 as y approaches either 0 or 1, so we just have
[tex]\displaystyle \int_0^1 \frac{y}{1-y^2} \ln(y) \, dy = \frac12 \int_0^1 \frac{\ln(1-y^2)}{y} \, dy[/tex]
Recall the Taylor series for ln(1 + y),
[tex]\displaystyle \ln(1+y) = \sum_{n=1}^\infty \frac{(-1)^{n+1}}n y^n[/tex]
Replacing y with -y² gives the Taylor series
[tex]\displaystyle \ln(1-y^2) = \sum_{n=1}^\infty \frac{(-1)^{n+1}}n (-y^2)^n = - \sum_{n=1}^\infty \frac1n y^{2n}[/tex]
and replacing ln(1 - y²) in the integral with its series representation gives
[tex]\displaystyle -\frac12 \int_0^1 \frac1y \sum_{n=1}^\infty \frac{y^{2n}}n \, dy = -\frac12 \int_0^1 \sum_{n=1}^\infty \frac{y^{2n-1}}n \, dy[/tex]
Interchanging the integral and sum (see Fubini's theorem) gives
[tex]\displaystyle -\frac12 \sum_{n=1}^\infty \frac1n \int_0^1 y^{2n-1} \, dy[/tex]
Compute the integral:
[tex]\displaystyle -\frac12 \sum_{n=1}^\infty \frac1n \int_0^1 y^{2n-1} \, dy = -\frac12 \sum_{n=1}^\infty \frac{y^{2n}}{2n^2} \bigg|_0^1 = -\frac14 \sum_{n=1}^\infty \frac1{n^2}[/tex]
and we recognize the famous sum (see Basel's problem),
[tex]\displaystyle \sum_{n=1}^\infty \frac1{n^2} = \frac{\pi^2}6[/tex]
So, the value of our integral is
[tex]\displaystyle \int_0^{\frac\pi2} \tan(x) \ln(\sin(x)) \, dx = \boxed{-\frac{\pi^2}{24}}[/tex]
[tex]\displaystyle \int \limits_{0}^{ \frac{ \pi}{2} } \tt\tan (x) \ln ( \sin (x))\\ \\\displaystyle \sf{ \implies \: I = \int^{ \frac{\pi}{2} }_{0} \: \ln \left( sin \left( \dfrac{\pi}{2} - x \right) \right) \: dx } \\ \\\displaystyle \sf{ \implies \: I = \int^{ \frac{\pi}{2} }_{0} \: \ln \left( cos(x) \right) \: dx } \\ \\\displaystyle \sf{ \implies \:2I =\int^{ \frac{\pi}{2} }_{0} \:\ln \left( sin(x) \right) \: dx + \int^{ \frac{\pi}{2} }_{0} \: \ln \left( cos(x) \right) \: dx } \\ \\\displaystyle \sf{ \implies \: 2I =\int^{ \frac{\pi}{2} }_{0} \: \ln \left( sin(x) \right) +\ln\left( cos(x) \right) \: dx }[/tex]
[tex]\displaystyle \sf{ \implies \: 2I =\int^{ \frac{\pi}{2} }_{0} \: \ln \left( sin(x) \: cos(x) \right) \: dx } \\ \\\displaystyle\sf{ \implies \: 2I =\int^{ \frac{\pi}{2} }_{0} \: \ln \left( \dfrac{sin(2x)}{2}\right) \: dx } \\ \\\displaystyle \sf{ \implies \: 2I =\int^{ \frac{\pi}{2} }_{0} \:\ln \left( sin(2x) \right)\:dx-\ln(2) \int^{ \frac{\pi}{2} }_{0} \: dx}[/tex]
Put 2x = t, so,[tex]\displaystyle\sf{ \implies \: 2I = \dfrac{1}{2} \int^{ \pi}_{0} \: \ln \left( sin(t) \right) \:dt - \ln(2) \int^{ \frac{\pi}{2} }_{0} \: dx} \\ \\\displaystyle\tt{ \implies \: 2I = \dfrac{1}{2} \cdot2 \int^{ \frac{\pi}{2}}_{0} \: \ln \left( sin(t) \right) \: dt - \ln(2) \int^{ \frac{\pi}{2} }_{0} \: dx}[/tex]
[tex]\displaystyle \tt{ \implies \: 2I =\int^{ \frac{\pi}{2}}_{0} \: \ln \left( sin(t) \right) \: dt - \ln(2)\int^{ \frac{\pi}{2} }_{0} \: dx} \\ \\ \displaystyle \tt{ \implies \: 2I = I - \ln(2) \left[x \right] ^{ \frac{\pi}{2} }_{0} } \\ \\ \displaystyle \tt{ \implies \: I = -\ln(2)\left[ \dfrac{\pi}{2} - 0 \right] }[/tex]
[tex]\displaystyle \sf{ \implies \: I = - \dfrac{\pi}{2} \ln(2) }[/tex]
_____________________☞︎︎︎Apologies,if incorrect.
Leonard conducts a study to see if the number of hawks in a park affects the number
of squirrels. What is the response variable in this study?
A.The number of hawks in the park
B.The number of squirrels in the park
In the experiment, the response variable is the dependent variable, or the measured variable.
The response variable in the study is; B. The number of squirrels in the parkReasons:
The study Leonard conducts is a study to determine if the number of
hawks located in the park affects the number of squirrels in the park.
The response variable is the variable of the experimental result, which is
the dependent or output variable obtained by manipulating the input
variable.
In the experiment conducted by Leonard, the variable that is being
manipulated, which is the input variable is the number of hawks in the park
The variable that is being measured, which is the output variable or the
response variable, is; B. the number squirrels in the park.
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please help with t his question
Answer: 15 inches
Step-by-step explanation:
15 × 1 ÷ 12 = 1.25 ft
1.25 ft = 1.25 × 12 = 15 in
4(x - 4) + 2x -10 and what the answer
Answer:
Expression: 6x - 26. Equation: 3
Step-by-step explanation:
EXPRESSION
4x - 16 + 2x - 10
6x - 26
EQUATION 1
4x - 16 = 2x - 10 (Seems reasonable. Sorry if this isn't it)
4x = 2x + 6
2x = 6
x = 3
EQUATION 2
4x - 16 + 2x = - 10
6x - 16= -10
6x = 6
x = 1
Solve 2x-1/4 + x/3 = 2
Step-by-step explanation:
=> 2x-1/4 + x/3 = 2
=> 3(2x-1) +4x / 12 = 2
=> 6x -3 + 4x = 24
=> 10x = 27
=> x = 2.7
Answer:
x = 27/28
Step-by-step explanation:
Solve 2x-1/4 + x/3 = 2
2x - 1/4 + x/3 = 2
2x + (-1/4) + 1/3x = 2
(2x + 1/3x) + (-1/4) = 2
7/3x + (-1/4) = 2
7/3x = 9/4
3/7 * 7/3x = 3/4 * 9/4
x = 27/28
---------------------
check
2 * 27/28 - 1/4 + 27/28 *1/3 = 2
2 = 2
the answer is good
Write each decimal as a percent. 1. 0.74
4. 0.617 =
Write each percent as a decimal. 6. 68%
9. 175% =
2. 0.15 =
5. 0.834 =
7. 34% =
10. 200% =
3. 0.09 =
8. 58.5% =
Answer:
1. 0.74 = 74%
4. 0.617 = 61.7
6. 68% = 0.68
9. 175% = 1.75
2. 0.15 = 15%
5. 0.834 = 83.4%
7. 34% = 0.34
10. 200% = 2.00
3. 0.09 = 9%
8. 58.5% = 0.585
Step-by-step explanation:
pls pls help!!! brainliest!!
Chris got a new cell phone and wanted to download some music. The graph shows the storage on his cell phone as a function of
-intercept in terms of this problem.
A. The x-intercept shows that he can download 53 songs before running out of storage on his phone
B. The x-intercept shows that he started with 16 songs downloaded before adding more.
C. The x-intercept shows that he has 53 GB of storage on his phone.
D. The x-intercept shows that he can download 16 songs before running out of storage on his phone.
Answer: the answer is A. The x-intercept shows that he can download 53 songs before running out of storage on his phone
Step-by-step explanation:
Chris got a new cell phone and wanted to download some music. The graph shows the storage on his cell phone as a function of
-intercept in terms of this problem.
A. The x-intercept shows that he can download 53 songs before running out of storage on his phone
B. The x-intercept shows that he started with 16 songs downloaded before adding more.
C. The x-intercept shows that he has 53 GB of storage on his phone.
D. The x-intercept shows that he can download 16 songs before running out of storage on his phone.
Productivity gains are an important factor in the expenditure model because
A. companies can “squeeze” workers more than normal
B. it shifts the AD curve to the left
C. the investments made are cheaper and allows companies to
D. it shifts the AS curve to the right
Answer:
A
Step-by-step explanation:
companies can squeeze workers more than normal
A desk is 39 inches wide. What is the width in yards
Answer:
1.0833 yd
Step-by-step explanation:
Inches Yards
37" 1.0278 yd
38" 1.0556 yd
39" 1.0833 yd
40" 1.1111 yd
Have a great day! :D
How many gallons of a 90% antifreeze solution must be mixed with 100 gallons of 10% antifreeze to get a mixture that is 80% antifreeze? Use the six-step method.
Where , the distance between the points ( a, c) and ( b, c) is ( ) units
Answer:
I would love to help but there is no upload. Would you mind creating a new question with a picture or data of the graph
Step-by-step explanation:
Plx = 3 + 5x+2
Degree
Leading coefficient
Turning Points
End
Behavior of the
Graph
Answer:
cost of renting from company A
C = 15 + 2.30x
cost of renting from company B
C = 22 + 1.90x
equate both the equations
15 + 2.30x = 22 + 1.90x
2.30x - 1.90x = 22-15
0.4x = 7
x = 7/0.4 = 17.5
At 17.5 miles, cost will be equal.
Answer: 17.5 miles
At the beginning of spring, Caroline planted a small sunflower in her
backyard. When it was first planted, the sunflower was 15 inches tall.
The sunflower then began to grow at a rate of 2.5 inches per week.
How tall would the sunflower be after 10 weeks? How tall would the
sunflower be after w weeks?
Height after 10 weeks:
Answer:
After 10 weeks: 40 inches
Step-by-step explanation:
Equation
15 + 2.5w = h
15 = beginning height
2.5 = rate per week
w = weeks passed
h = total height
Two or more expressions with an Equal sign is called as Equation.15+2.5W tall l would the sunflower be after w weeks and 40 inches tall after 10 weeks.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that, At the beginning of spring, Caroline planted a small sunflower in her backyard
The initial height of the sunflower was 15 inches tall.
The sunflower then began to grow at a rate of 2.5 inches per week.
We need to find the height of the tree after 10 weeks.
15+2.5(10)
15+25
40 inches tall after 10 weeks.
the sunflower height after w weeks
15+2.5W
Hence 15+2.5W tall l would the sunflower be after w weeks and 40 inches tall after 10 weeks.
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please help i am stuck
Explanation:
All of these are done the same way.
1. Set your compass to a distance slightly longer than the distance from the point to the line you want the perpendicular to.
2. Using the point as a center, draw an arc that intersects the line in 2 places. Consider those points to be "P" and "Q".
3. You can leave the compass as is, or set it to any other distance longer than half the distance between P and Q. Using this radius, and using P and Q as centers, draw intersecting arcs on the other side of the line from the original point. Consider the intersection of those arcs to be point "R".
4. A line through the original point and point R will be perpendicular to the line, as you want.
_____
In problem 1, the point and line are obvious.
In problem 2, the point is the vertex opposite the line of interest. (There will be 3 similar constructions.)
solve the system of equations by graphing.
3x + y = -4
x - 2y = -6
Answer:
(-2,2)
Step-by-step explanation:
A dozen gulab jamuns cost 3.49 how much will 5 dozen cost
Answer:
17.44
Step-by-step explanation:
if one dozen cost $3.49 than 3.49 × 5 = 17.44
Flying Home A bird flies from the bottom of a canyon that is 844 9/10 feet below sea level to a nest that is 55 4/5 feet above sea level. What is the difference in elevation between the bottom of the canyon and the bird's nest? The difference between the elevation of the canyon and the bird's nest is enter your response here feet. (Simplify your answer. Type an integer, proper fraction, or mixed number.)
Answer:
900 7/10
Step-by-step explanation:
you add the numbers to gether
Toby and Emily went to the grocery store to buy food for breakfast for the week. They needed 8 bananas, 2 loaves of bread, 1 bottle of OJ, 1 gallon of milk and a dozen eggs. Each banana was .25, each loaf of bread was 2.55, a bottle of OJ was $2.45 and dozen eggs were $3.15. How much money in total did Toby & Emily spend?
Answer:
$12.70
Step-by-step explanation:
8 x .25 = 2
2 x 2.55 = 5.10
1 x 2.45 = 2.45
1 x 3.15 = 3.15
__________
2 + 5.10 + 2.45 + 3.15 = 12.70 = $12.70
Answer:
they spent $15.85 in all.
Step-by-step explanation:
2.00 banana 5.10 bread 2.45 oj and 3.15 egg, add it all.
simplify the expression (b+3)+(2b-2)
Answer:
if you meant (b+3)+(2^b-2), the answer is b+1+2^b
Step-by-step explanation:
but if you meant (b+3)+(2b-2), the aanswer is 3b+1
Answer:
3b+1
Step-by-step explanation:
(b+3)+(2b-2)
b+3+2b-2
3-2
b+1+2b
b+2b
3b+1
problem referred below
pls help
Answer:
B
7 less than 3 times a number (X) is (3x-7), and then the sum of these two numbers means we have (3x-7)+X, and then we know this equals 109, leaving us with:
(3x-7)+x = 109
Kim Barney pays a $290.00 annual premium for an insurance plan with a $500 deductible. The company pays 80% of the remaining expense. If Kim had $2,500.00 in medical expenses, calculate the following.
The amount that Kim Barney spends is $342 for medical expenses.
What is buying cost?Buying cost is the cost at which someone buys or is willing to buy shares, bonds.( including the tax)
here, we have,
Given that,
Kim Barney pays a $290.00 yearly premium for a $500.00 deductible insurance plan. 80 percent of the remaining cost is covered by the business. If Kim has medical costs of $2,500.00
To find : The amount that Kim barney spends for the medical expenses.
If the business covers 80% of the remaining balance ($1710), they will be responsible for paying $1368 of it.
10% of 1710 is 171
171x8=1368
The insurance provider covers the $1368.
Kim Barney spends $342.
Consequently, Kim Barney spends the following amount on medical costs $342.
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