Answer:
8
Step-by-step explanation:
3 + 4 = 7
6/12 + 1/2 = 1
7+1 = 8
On Monday, one share of a certain stock costs $41.45. On Tuesday, the cost goes up by $0.58. It goes down by $0.26 on both Wednesday and Thursday. On Friday, it goes down by $0.06. Write an expression to represent the cost of one share of the stock on Friday. Then evaluate the expression to find the cost on Friday.
Answer:
The cost of one share of the stock on Friday is $41.45
Step-by-step explanation:
The initial cost of one share of the stock on Monday is $41.45.
On Tuesday, the cost goes up by $0.58, so the cost becomes:
$41.45 + $0.58 = $42.03
On Wednesday, the cost goes down by $0.26, so the cost becomes:
$42.03 - $0.26 = $41.77
On Thursday, the cost also goes down by $0.26, so the cost becomes:
$41.77 - $0.26 = $41.51
Finally, on Friday, the cost goes down by $0.06.
So the expression to represent the cost of one share of the stock on Friday is:
$41.51 - $0.06
To evaluate this expression, we simply subtract $0.06 from $41.51:
$41.51 - $0.06 = $41.45
Therefore, the cost of one share of the stock on Friday is $41.45
One pile of cards contains the number 2 through 6 in red hearts. A second pile of cards contains the numbers 4 through 8 in black spades. Each pile of cards has been randomly shuffled. If one card from each pile is chosen at the same time, what is the probability that the sum will be less than 12?
Answer:
19/25.
Step-by-step explanation:
The total possible number of combinations of 2 cards from the 2 piles = 5*5 = 25.
Possible ways to get sum of 12 or more =
4,8 5,7 5,8 6,6 6,7 6,8 = 6 ways.
So the number of ways to get sum of < 12 = 25 - 6 = 19.
So the required probability = 19/25.
Answer:
I think the probability is 19 out of 25 = 19/25, but I am not sure so please check by step by step solution.
Step-by-step explanation: 5 29 12 38
Hearts 2, 3, 4, 5, 6
Spades 4, 5, 6, 7, 8
Find the probability that the sum of any two randomly cards is less than 12.
I count 5² = 25 possibilites
I found 5 + 5 + 4 + 3 + 2 combinaitons of cards whose sum is less than 12
sum of 19 combinations less than 12
19 /25 is the probability of the sum being less than 12
hearts.... + spade < 12
the 2 + any shade 5
the 3 + any spade 5
the 4 + the four lowest spades 4
the 5 + the three lowest spades 3
the 6 + the four lowest spades 2
Please help me.................
Milan is on the swim team. Each day he swims 850m. How far does he swim in 5 days?
Answer:
4250 m
Step-by-step explanation:
1 day = 850
5 days = 850×5
= 4250
the length of a rectangle is 3 more than 3 times it’s width. the perimeter of the rectangle is 174 inches. what is the length of the rectangle?
Answer:
66 anches beacause i don't know
Step-by-step explanation:
What is the HCF and LCM of 18 , 42 ,90
HELPP PLEASE
Line M goes through the points (-2, -8) and (1, 1). Which pair of points lies on a straight line that intersects Line M?
OA (0, 2), (1, 5)
OB. (-2, -1), (3, 14)
O C. (2, 1), (-5, -20)
OD. (-3, -2), (2, 6)
first off let's find the slope of M
\((\stackrel{x_1}{-2}~,~\stackrel{y_1}{-8})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{1}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{1}-\stackrel{y1}{(-8)}}}{\underset{\textit{\large run}} {\underset{x_2}{1}-\underset{x_1}{(-2)}}} \implies \cfrac{1 +8}{1 +2} \implies \cfrac{ 9 }{ 3 } \implies \text{\LARGE 3}\)
now, any line that intersects M will have a different slope than M, and since they're both lines and going to infinity, they will intersect at some point, so let's check those points for their slope, who is different than M's
\(\boxed{A}\qquad (\stackrel{x_1}{0}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{5}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{5}-\stackrel{y1}{2}}}{\underset{\textit{\large run}} {\underset{x_2}{1}-\underset{x_1}{0}}} \implies \cfrac{ 3 }{ 1 } \implies 3 ~~ \bigotimes \\\\[-0.35em] ~\dotfill\)
\(\boxed{B}\qquad (\stackrel{x_1}{-2}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{14}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{14}-\stackrel{y1}{(-1)}}}{\underset{\textit{\large run}} {\underset{x_2}{3}-\underset{x_1}{(-2)}}} \implies \cfrac{14 +1}{3 +2} \implies \cfrac{ 15 }{ 5 } \implies 3 ~~ \bigotimes \\\\[-0.35em] ~\dotfill\)
\(\boxed{C}\qquad (\stackrel{x_1}{2}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{-5}~,~\stackrel{y_2}{-20}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{-20}-\stackrel{y1}{1}}}{\underset{\textit{\large run}} {\underset{x_2}{-5}-\underset{x_1}{2}}} \implies \cfrac{ -21 }{ -7 } \implies 3 ~~ \bigotimes \\\\[-0.35em] ~\dotfill\)
\(\boxed{D}\qquad (\stackrel{x_1}{-3}~,~\stackrel{y_1}{-2})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{6}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{6}-\stackrel{y1}{(-2)}}}{\underset{\textit{\large run}} {\underset{x_2}{2}-\underset{x_1}{(-3)}}} \implies \cfrac{6 +2}{2 +3} \implies \cfrac{ 8 }{ 5 } ~~ \textit{\LARGE \checkmark}\)
Approximate the area of the circle segment bounded by DE and arc DE if r =20 and theta=47°. Photo Attached
Answer: 1256.63706
Step-by-step explanation: A=(π20)2
The approximate area of the circle segment bounded by arc DE and chord DE is approximately 17.72 square units.
To approximate the area of the circle segment bounded by arc DE and chord DE, you can use the following formula:
Area = (1/2) * r^2 * (θ - sinθ)
Where:
r is the radius of the circle (r = 20 in your case).
θ is the central angle in radians (47° converted to radians is approximately 0.8203 radians).
Let's calculate it:
θ = 47° * (π / 180) ≈ 0.8203 radians
Now, plug these values into the formula:
Area = (1/2) * (20^2) * (0.8203 - sin(0.8203))
Area ≈ (1/2) * 400 * (0.8203 - 0.7317)
Area ≈ (1/2) * 400 * 0.0886
Area ≈ 17.72 square units
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You are planning to attend college next year. The total cost of tuition and textbooks is $10,000. If you go to school, your room and board will cost you $5,000. If you did not go to school, however, you would live at home, and your total room and board would only be $1,000. Additionally, if you did not go to college, you would work a job making $20,000 for the year.
1. In terms of room and board alone, what would be opportunity cost of attending college. Be sure to explain your answer
2. What are the explicit costs of attending school? How much should be included for room and board?
3. What would be the implicit cost of attending college next year?
4. What would be the total opportunity cost of attending college next year?
Opportunity Cost of attending college, in terms of room and board is $4000 . Explicit Cost, Implicit Cost of attending college is $14000, $20000. Total Opportunity Cost of attending college is $34000
1. Opportunity Cost is the cost of next best alternate foregone, as in value of sacrifice made, while choosing an alternative.
Money foregone to attend college, in room & board = room & board cost with college - room & board cost without college = 5000 - 1000 = 40002. Explicit Cost is the actual out of pocket cash expenses outflow, done for choosing an option. Eg : Cash expenditures
In this case, cash expenses for attending college = 140003. Implicit Cost is the implied estimated cost of self supplied factors of production, like value of self labour & self owned land etc.
In this case : Value of self labour, sacrificed for attending college, ie the salary which could have earned by doing job meanwhile = 200004. Total opportunity cost of attending college = Explicit Cost + Implicit Cost = 14000 + 20000 = 34000
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Select the phrase from the drop-down menu that
best completes the sentence.
Several values of a quadratic function are given
in the table.
X -5
y
-7
-2 -1 2
8 9
6
8 9
0 -40 -72 -91
There is a maximum between the two input values
>
Finish
Answer:
"of -1 and 2."
Step-by-step explanation:
The quadratic function has a maximum value between the two input values of -1 and 2, with a maximum output of 9.
let days-on-the-market be the dependent variable and price be the independent variable. b-1. determine the regression equation
To determine the regression equation, we need to fit a line to the data that best describes the relationship between the dependent variable and the independent variable. The equation of the line is typically expressed in the form:
y = a + bxwhere y is the dependent variable, x is the independent variable, a is the y-intercept (the point at which the line crosses the y-axis), and b is the slope of the line (the rate of change of y with respect to x).
If we determine that a = 10 and b = 0.5, the regression equation would be:
Days-on-the-market = 10 + 0.5 * priceThis equation describes the relationship between the dependent variable (days-on-the-market) and the independent variable (price). It tells us that for every unit increase in price, the number of days on the market is expected to increase by 0.5.
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Ashraf takes 1500 steps to walk d metres from his home to the station.
Each step is 90 centimetres correct to the nearest 10 cm.
Find the lower bound and the upper bound for d.
Answer:
lower bound = 90 - 10 = 80 cm
upper bound = 90 + 10 = 100 cm
lower bound d = 1500 x 80 cm = 120,000 cm
upper bound d = 1500 x 100 cm = 150,000 cm
Distance of upper bond and lower bond is 120,000 and 150,000 centimeter
Given:
Number of steps walk = 1500 steps
Each step count = 90 centimetres
Correction in each step = 10 cm nearset
Find:
Lower bound and upper bound for d
Computation:
Lower bound step length = 90 - 10
Lower bound step length = 80 centimetres
Upper bound step length = 90 + 10
Upper bound step length = 100 centimetres
Lower bound d = 1500 × 80
Lower bound d = 120,000 centimetres
Upper bound d = 1500 × 100
Upper bound d = 150,000 centimetres
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How do you type an essay?
Answer:
research the topic if you don't know much about the topic find credible sites you can use like...
sights ending in .org .net .gov .edu most of the time these are credible sites No plagiarism write in your own words check writing and spelling and grammar
Let i be the imaginary number √-1. Determine whether the expression a+bi, where a and b are real numbers, represents a real number or a non-real complex number for each case below. Select Real Number or Non-Real Complex number for each case.
Case 1: a = 0; b = 0 --> Real Number
Case 2: a = 0; b ≠ 0 --> Non-Real Complex Number
Case 3: a ≠ 0; b = 0 --> Real Number
Case 4: a ≠ 0; b ≠ 0 --> Non-Real Complex Number
Understanding Complex NumberFor each case, we can determine whether the expression a + bi represents a real number or a non-real complex number based on the values of a and b.
Case 1: a = 0; b = 0
In this case, both a and b are zero. The expression a + bi simplifies to 0 + 0i, which is equal to 0. Therefore, the expression represents a real number.
Case 2: a = 0; b ≠ 0
Here, a is zero, but b is nonzero. The expression a + bi becomes 0 + bi, where b is a nonzero real number multiplied by the imaginary unit i. Since the expression contains a nonzero imaginary part, it represents a non-real complex number.
Case 3: a ≠ 0; b = 0
In this case, a is nonzero, but b is zero. The expression a + bi simplifies to a + 0i, which is equal to a. As there is no imaginary part in the expression, it represents a real number.
Case 4: a ≠ 0; b ≠ 0
Here, both a and b are nonzero. The expression a + bi contains both a real part (a) and an imaginary part (bi). Thus, it represents a non-real complex number.
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What is the slope of the line?
-2
1/2
1
2
v/12 = 3/9 solve for v
Answer:4
Step-by-step explanation:
v/12=3/9
multiple both sides by 12 to cancel out v/12.
v=3/9*12
v=4
convert into fraction in the simplest form 0.2146666
Answer:
1073333/5000000
Step-by-step explanation:
Convert to a simplified fraction by placing the numbers to the right of the decimal over 10000000. Reduce the fraction.
What is 42% of 17?
round up
Hello
42. ?
100 17
We use cross product.
\( \frac{42 \times 17}{100} = 7.14\)
42% of 17 => 7.14
Have a nice day ;)
\(\huge\text{Hey there!}\)
\(\huge\textbf{Question reads....}\)
\(\large\textbf{What is 42\% of 17?}\)
\(\huge\textbf{Answering your question}\)
\(\mathbf{42\% \ of \ 17}\)
\(\huge\textbf{Translating it to easier to terms}\)
\(\mathbf{42\% \ of \ 17}\)
\(\mathbf{= 42\%\times 17}\\\)
\(\mathbf{= \dfrac{42}{100}\times 17}\)
\(\mathbf{= \dfrac{42\div2}{100\div2}\times17}\)
\(\mathbf{= \dfrac{21}{50}\times17}\)
\(\mathbf{= \dfrac{21}{50} \times \dfrac{17}{1}}\)
\(\mathbf{= \dfrac{21\times17}{50\times1}}\)
\(\mathbf{= \dfrac{357}{50}}\)
\(\mathbf{= 357 \div 17}\)
\(\mathbf{= 7.14}\)
\(\huge\textbf{Answer }\bf \huge\boxed{\downarrow}\)
\(\huge\text{Therefore, your answer should be: \boxed{\mathsf{7.14}}}\huge\checkmark\)
\(\huge\text{Good luck on your assignment \& enjoy your day!}\)
~\(\frak{Amphitrite1040:)}\)
Please help!!!!!!!!!!!!!!
Answer:
The answer is A.
Step-by-step explanation:
1 plus 2x (276-5y) + 69= A.
Sam is climbing 9000 m every 30 minutes. How many meters will he climb in 1 hour
Answer:
18000 m
Step-by-step explanation:
Hey there!
In order to solve this problem, we need to first know how many minutes are in an hour
As you know, there are 60 minutes in an hour so this means in 1 hour, he will climb 9000 meters two times
So 9000 two times is 18000,
Meaning, in 1 hour, Sam will climb 18000 m
Answer:
18,000m in an hour
Step-by-step explanation:
We know this because if its 9000 m in 30 minutes, we can do 9000 x 2 and get 18,000m for an hour.
Simplify. (−1+2i)(3−5i)
Choices
7+i
−3+i
7+11i
−13+11i
Answer:
The answer is 7 + 11i
Step-by-step explanation:
Amadi is three times as old as Chima. The sum of their ages is 24
Answer:
Amadi: 20 years old
Chima : 4 years old
X=91° and y=42° what is z?
Here, we just need to add x and y and subtract it from 180.
x + y = 91 + 42 = 133.
180 - 133 = 47.
Hence, z = 47 degrees.
Answer:
47°
Step-by-step explanation:
straight line = 180° we remove the angles x and y and find z
180 - 91 - 42 =
47°
Toby has $65 to buy tshirts for his bowling team each tshirt costs $7 how many tshirts can he buy
please help me solve
!
The solution to the trigonometric equation 5cos(5x) = 4 is given as follows:
x = 7.37º.
How to solve the trigonometric equation?The definition of the trigonometric equation is presented as follows:
5cos(5x) = 4
The first step towards solving the trigonometric equation is isolating the trigonometric variable, hence:
cos(5x) = 4/5.
Then we have to isolate the variable x, which is done applying inverse trigonometric functions, as follows:
arccos(cos(5x)) = arccos(4/5)
5x = arccos(4/5)
Using a trigonometric calculator to obtain the arc cosine of four fifths, for the smallest positive integer, we have that:
5x = 36.86º.
Now we only apply the division to isolate the variable x and obtain the solution, as follows:
x = 36.86º/5
x = 7.37º.
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Geometry question! Please help
The values 6, 4 and 12 are the measures of PR, PQ and RI respectively.
Solving similar trianglesThe given diagram is a triangle and the expression to be used based on the theorem is expressed as:
TP/TQ = PR+3/15
3/5 = PR+3/15
5(PR +3)= 3(15)
5(PR + 3) = 45
PR + 3 = 9
PR = 9 - 3
PR = 6
For the measure of PQ
PQ^2 = 5^2 - 3^2
PQ^2 = 25 - 9
PQ = 4
Determine the measure of RI
3/PQ = TR/RI
3/4 = 9/RI
1/4 = 3/RI
RI = 12
Hence the measure of PR, PQ and RI are 6, 4, and 12 respectively
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Mickey and Minnie Mouse are purchasing a new home. Their annual property taxes are estimated to be $5,467, and their homeowner's insurance policy has an annual cost of $1,440. They must also purchase flood insurance, since they live in below sea level, at an additional cost of $1,262 per year. How much will they be required to put into their escrow account each month to cover these costs?
Result:
Mickey and Minnie Mouse will need to put $680.75 into their escrow account each month to cover the property taxes, homeowner's insurance, and flood insurance costs.
What is an escrow account?An escrow account is like a savings account that is managed by a mortgage servicer. The portion deposited into an escrow account usually covers estimated property taxes and your homeowners and mortgage insurance premiums.
To calculate the monthly amount Mickey and Minnie Mouse need to put into their escrow account for property taxes, homeowner's insurance, and flood insurance, we will first add up the total annual costs for these expenses:
Property taxes: $5,467
Homeowner's insurance: $1,440
Flood insurance: $1,262
Total annual costs = $5,467 + $1,440 + $1,262 = $8,169
Next, we divide the total annual costs by 12 to get the monthly escrow amount:
$8,169 / 12 = $680.75
Therefore, $680.75 is the amount they will need to put into their escrow account each month.
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Question number 13 needs to answered
Final speed after slowing down by 15 miles per hour and reducing the speed by one third is 25 miles per hour.
Let's break down the steps to determine the final speed:
Step 1: Convert the speed from miles per minute to miles per hour.
Since you're driving one and a half miles per minute, we need to convert it to miles per hour. There are 60 minutes in an hour, so we multiply 1.5 by 60 to get 90 miles per hour.
Step 2: Slow down by 15 miles per hour.
Subtract 15 from the initial speed of 90 miles per hour, resulting in 75 miles per hour.
Step 3: Reduce the speed by one third.
To find one third of 75 miles per hour, we divide it by 3, which gives us 25 miles per hour.
Therefore, the final speed after slowing down by 15 miles per hour and reducing the speed by one third is 25 miles per hour.
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Suppose a man invested $300 at the end of 1900 in each of three
funds that tracked the averages of stocks, bonds, and cash,
respectively. Assuming that his investments grew at the rates
given in the table to the right, approximately how much would
each investment have been worth at the end of 2010?
Category
Stocks
Bonds
Cash
His investment in the fund tracking stocks would be worth approximately $
(Do not round until the final answer. Then round to two decimal places as needed.)
Average Annual Return
6.4%
1.7%
0.7%
Answer:
To calculate the value of each investment at the end of 2010, we need to use the compound interest formula:
A = P(1 + r/n)^(nt)
where:
A = the final amount
P = the initial investment
r = the annual interest rate (as a decimal)
n = the number of times the interest is compounded per year
t = the number of years
For the investment in the fund tracking stocks:
P = $300
r = 6.4% = 0.064
n = 1 (assuming the interest is compounded annually)
t = 2010 - 1900 = 110
A = 300(1 + 0.064/1)^(1*110) = $208,884.78 (rounded to the nearest cent)
For the investment in the fund tracking bonds:
P = $300
r = 1.7% = 0.017
n = 1
t = 2010 - 1900 = 110
A = 300(1 + 0.017/1)^(1*110) = $2,326.34 (rounded to the nearest cent)
For the investment in the fund tracking cash:
P = $300
r = 0.7% = 0.007
n = 1
t = 2010 - 1900 = 110
A = 300(1 + 0.007/1)^(1*110) = $862.38 (rounded to the nearest cent)
Therefore, the investment in the fund tracking stocks would be worth approximately $208,884.78 at the end of 2010, the investment in the fund tracking bonds would be worth approximately $2,326.34, and the investment in the fund tracking cash would be worth approximately $862.38.
1. A target is divided into 100 squares colored in dark blue, white, and light blue. Amber throws a beanbag that lands on the target.
co
9 25
dark blue
What is the probability that it will land on a dark blue square?
26
white
light blue
The probability of landing on the dark blue target is 2/5.
Finding probabilityProbability is the ratio of required to the total possible outcomes of an event.
The required outcome = dark blue= 25Total possible outcomes= entire sample Space = 100P(dark blue ) = 40/100
divide through by 20
P(dark blue ) = 2/5
Therefore, the probability of landing on target is 2/5
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