Answer:
First, converting R percent to r a decimal
r = R/100 = 3.875%/100 = 0.03875 per year,
then, solving our equation
I = 10000 × 0.03875 × 5 = 1937.5
I = $ 1,937.50
The simple interest accumulated
on a principal of $ 10,000.00
at a rate of 3.875% per year
for 5 years is $ 1,937.50.
Step-by-step explanation:
What is the equation to solve how many centimeters in 14.72 inches. There are 2.54cm in an inch
The equivalent of 14.72 inches in centimeter is 37.3888 cm
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The conversion from inches to cm is given by:
1 in = 2.54 cm
Hence:
14.72 in = 14.72 in * 2.54 cm per in = 37.3888 cm
The equivalent of 14.72 inches in centimeter is 37.3888 cm
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I'm having trouble with this problem, if anyone could help I would really appreciate it. Thank you :)
The probability of the event of a wafer to be conforming and from lot A are as follows;
(a) P(A) ≈ 0.15541
(b) P(C) ≈ 0.84
(c) P(AC) ≈ 0.159
(d) P(A|C) ≈ 0.86
(e) P(C|A) ≈ 0.185
(f) E1 and E2 are independent events
How can the probability of an event be determined?Probability is given by the ratio of the number of required outcomes divided by the number of possible outcomes.
(a) The number of wafers from lot A = 79 + 13 = 92
79+13+157+43+260+40 = 592
Which gives;
The probability that the wafer is from lot A is therefore;
P(A) = 92/592 ≈ 0.15541(b) The conforming wafers = 79+157+260 = 496
Which gives;
P(C) = 496/592 ≈ 0.84(c) The conforming wafers in lot A are 79
Therefore;
The probability that the wafer is from lot A and conforming is therefore;
P(AC) = 79/496 ≈ 0.159(d) The probability that the wafer is conforming, given that it is from lot A is therefore;
P(A|C) = 79/92 ≈ 0.86
(e) The number of conforming wafers = 496
The probability that the wafer is from lot A given that it is conforming is therefore;
P(C|A) = 92/496 ≈ 0.185(f) Independent events are events such that the occurrence of one does not impact the probability of the other.
Given that the occurrence of E1 changes the probability of event E2 if the wafer is not replaced, the events are not independent events.
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Determine which diagram could be used to prove △ABC ~ △EDC using similarity transformations.
Triangle A B C is rotated about point C and then dilated to form triangle C E D.
Triangle A B C is reflected across point C and then is rotated to form triangle C E D.
Triangles A B C and C E D do not have congruent angle measures.
The diagram could be used to prove △ABC ~ △EDC using similarity transformations is (a) Triangle ABC is rotated about point C and then dilated to form triangle CED.
How to determine which diagram could be used to prove △ABC ~ △EDC using similarity transformations?From the question, we have the following highlights
The triangles are similar trianglesThe triangles are △ABC and △EDCSimilar triangles do not have to be congruent triangles
This means that if two triangles are similar, then one triangle has been dilated to form the other triangle
This also means that
The corresponding angles of the triangles are equal while the corresponding sides of the triangles are not equal
The transformation that supports the above highlights is (a) Triangle ABC is rotated about point C and then dilated to form triangle CED.
Hence, the diagram could be used to prove △ABC ~ △EDC using similarity transformations is (a) Triangle ABC is rotated about point C and then dilated to form triangle CED.
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Answer: A. or the first one.
Step-by-step explanation: TRUST ME! Answer correct on Edge.
My first attempt was wrong but my second attempt was correct.
for each final matrix, state the solution.
1 0 0 | 3
0 1 0 | -1
0 0 1 | 8
1 0 -6 | 11
0 1 4 | 7
0 0 0 | -2
1 0 2 | 9
0 1 -8 | 5
0 0 0 | 0
Answer:
Step-by-step explanation:
3TRWRRW
a copy machine makes 24 copies per minute how many copies does it make in 4 minutes and 45 seconds
Answer:76 copies
Step-by-step explanation:
hope this helps
A small deck of twenty cards consists of eight red cards and twelve green cards. Draw five cards at random, without replacement. How many five-card selections are possible?
At random selection, there are 4, five-card selections possible.
What is Random selection?Random selection describes how the sample is drawn from the entire population, whereas random assignment describes how the participants are then assigned to either the experimental or control groups. In an experiment, both random selection and random assignment are possible.Since there are only 20 cards in the deck so there are 4 sections of 5 cards each is possible as 4 × 5 = 20.
Therefore, there are 4, five-card selections possible.
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HELP THANK YOU VERY MUCH
For which value of x is line N parallel to line M?
Answer:
x=70°
x=109°
Step-by-step explanation:
x+30+80=180
x=180-30-80=70
16.
x=64+45=109°
Given
m
∠
Q
P
S
=
8
8
∘
m∠QPS=88
∘
m, angle, Q, P, S, equals, 88, degrees
m
∠
R
P
S
=
5
x
+
3
4
∘
m∠RPS=5x+34
∘
m, angle, R, P, S, equals, 5, x, plus, 34, degrees
m
∠
Q
P
R
=
8
x
+
1
5
∘
m∠QPR=8x+15
∘
m, angle, Q, P, R, equals, 8, x, plus, 15, degrees
Find
m
∠
R
P
S
m∠RPSm, angle, R, P, S:
The required angle measure for the condition of the proportion of angles m∠RPS is 212.35°.
Given that,
m∠QPS = 88
m∠RPS = 5x+34
m∠QPR=8x+15
The measure of the angle m∠RPS is to be determined.
The angle can be defined as the one line inclined over another line. the measure of an angle is measured in two units of degrees and in radiants.
Here,
m∠QPR = m∠QPS + m∠RPS
8x + 15 = 88 + 5x + 34
8x - 5x = 88 + 34 - 15
3x = 107
x = 107 / 3
x = 35.67
Now,
m∠RPS = 5x+34 = 5 * 35.67 + 34 = 212.35°
Thus, the required angle measure for the condition of the proportion of angles m∠RPS is 212.35°.
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whats the answer, i need help cuz i cant figure it out.
Check the picture below.
[tex]\stackrel{AC}{x}~~ + ~~\stackrel{CB}{2x}~~ = ~~\stackrel{AB}{33}\implies 3x=33\implies x=\cfrac{33}{3}\implies \boxed{x=11} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\LARGE AC}}{11}\hspace{10em}\stackrel{\textit{\LARGE CB}}{2(11)\implies 22}[/tex]
The concrete foundation of a house requires 15 truckloads of concrete. The concrete was
poured at a depth of 0.5 meters and covered an area of 540 square meters.
a. How many cubic meters of concrete were used?
b. If each truckload was the same size, how many cubic meters did each truck carry?
Answer:
See below
Step-by-step explanation:
Area * thickness = volume
540 m^2 * .5 m = 270 m^3
15 trucks ===> 270 m^3 / 15 trucks = 18 m^3 per truck
help me please if you can asap !
Answer:
Step-by-step explanation
t=2002-1992
t=10
p(10)=0.019(10)^3- 0.287(10)^3+ 3.073(10)+ 55.130
P(10)= 19- 287+ 30.73+ 55.130
p(10)= -182.14
For a certain company, the cost for producing x items is 60x+300 and the revenue for selling x items is 100x−0.5x2
Part c: Is it possible for the company to make a profit of $15,000 ?
It is not possible for a company to make a profit of $15,000 with the revenue function as 100 x − 0.5 x² and the cost function as 60 x + 300.
We know that:
Profit = Revenue - Cost
Here, we have:
Revenue function = 100 x − 0.5 x²
Cost function = 60 x + 300
Profit = $ 15,000
Substituting the values, we get that:
100 x − 0.5 x² - 60 x - 300 = 15,000
40 x - 0.5 x² - 300 = 15,000
80 x - x² - 300 = 15,000
x² - 80 x + 300 + 15,000 = 0
x² - 80 x + 15,300 = 0
No, it is not possible for a company to make a profit of $15,000 as the above equation has no real solution.
Therefore, it is not possible for a company to make a profit of $15,000 with the revenue function as 100 x − 0.5 x² and the cost function as 60 x + 300.
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A charity-event manager counted 54 ticket receipts the day after an event. The price for an adult ticket was $21, and the
price for a student ticket was $5. The register confirms that $974 was taken in.
According to the linear equation, The number of adults tickets are 44 and number of Student tickets are 10.
According to the statement
We have to find that the Linear equation and solve it.
So, For this purpose, we know that the
The definition of a linear equation is an algebraic equation in which each term has an exponent of one and the graphing of the equation results in a straight line.
From the given information:
A charity-event manager counted 54 ticket receipts the day after an event. The price for an adult ticket was $21, and the price for a student ticket was $5. The register confirms that $974.
Then
Let number of adult tickets = x
Let number of student tickets = y
And charity-event manager counted 54 ticket receipts
=> x + y = 54 -(1)
The price for an adult ticket was $21
price for a student ticket was $5
Total Amount = 21x + 5y
The register confirms that $974 was taken in.
=> 21x + 5y = 974 -(2)
The system of equations represents matters :
x + y = 54
21x + 5y = 974
Eq2 - 5 * Eq1
=> 21x - 5x = 974 - 270
=> 16x = 704
=> x = 44
And
44 + y = 54
=> y = 10
The number of tickets are 44 Adults & 10 Student tickets.
So, According to the linear equation, The number of adults tickets are 44 and number of Student tickets are 10.
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U(–10,–1) after a rotation 270° clockwise around the origin.
The value of the given point after rotating the graph from the 270° clockwise around the origin is U(1,10).
According to the statement
We have to find that the value of the given points after rotation.
So, For this purpose, we know that the
The definition of a graph is a diagram showing the relationships between two or more things or equation.
From the given information:
The point U(–10,–1) after a rotation 270° clockwise around the origin.
Then
we have to rotate the graph about the clockwise
And when we rotate the graph clockwise the value of the x and y are interchanged and their signs also changed.
Thus, The value on the graph become 1,10.
So, The value of the given point after rotating the graph from the 270° clockwise around the origin is U(1,10).
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what is three fourths divided by five
Question 12 *
12. Marcus is building a scale model of a skyscraper using the ratio 2:225. If the width of
the skyscraper is 405 ft, what is the width of the model?
A. 25 ft
B. 3.6 ft
C. 9.0 ft
D. 11.3 ft
Answer:
the answer is 3.6 ft
Step-by-step explanation:
I didn't know how to do it so I looked it up
-156 - (-4)
Find the difference
Answer:
-152
Step-by-step explanation:
-156 - (-4)
-156+4
= -152
you could also just go into a normal chrome browser at the top and type in -156-(-4) it will give you -152.
Which number is an irrational number?
O
-233723
9
O -√√3
O 2.56
O 16
√3 is an irrational number as it is non terminating and non repeating number.
Irrational number - In mathematics, the irrational numbers are all the real numbers that are not rational numbers. That is, irrational numbers cannot be expressed as the ratio of two integers.
They are non terminating and non repeating in nature.
For example 22 / 7 , √ 5 , √ 7 and many more.
Here, √3 is an irrational number as it is non terminating and non repeating number.
Therefore, √3 is an irrational number as it is non terminating and non repeating number.
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.A person can travel from NYC to Buffalo by going north 205 miles to Albany and then west 425 miles to Buffalo. A new highway is built to connect NYC to Buffalo.Find how many miles it would take to get from NYC to Buffalo if you traveled the new highway. (*Round to the nearest tenth.)
Answer: 471.9 miles
Step-by-step explanation:
This is a right triangle so a^2+b^2=c^2
205^2=42025
425^2=180625
=222650
sqrt222650 =471.9
The units of the subway map below are in miles. Suppose
the routes between stations are straight. Station F, not
shown on the map, is 16 miles west and 4 miles north of
Station A. What is the approximate distance between
Station E and Station F?
The distance from Station E to Station F is
approximately E miles.
(Round to the nearest tenth as needed.)
Distance between EF is 20.09 units.
By considering the given information
E= (-4,2)
F= (16,4)
Distance between EF =
[tex]\sqrt{(16+4)^{2}+(4-2)^{2} } \\=\sqrt{400+4} \\=\sqrt{404} \\=20.09[/tex]
Distance is a measurement of how far apart two objects or points are, either numerically or occasionally qualitatively. Distance can refer to a physical length in physics or to an estimate based on other factors in common usage. In coordinate geometry, the distance between two given points is calculated using the distance formula. The formula for calculating the separation between two points
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12 push-ups in 2 days = push-ups per day
Answer:
6 push ups per day
Step-by-step explanation:
→ [tex]12 \div 2 = 6~push~ups[/tex]
Answer: 6 push-ups per day
Step-by-step explanation:
12 push-ups/2 days = 12/2 = 6 push-ups each day for 2 days to have 12 push-ups total.
There are 13 different types of cookies at the bakery. The baker made 24 of each type of cookie. How many cookies did the baker make in total?
Answer:
312 in total.
Step-by-step explanation:
if 1 type of cookie is 24 cookies. so 13 types of cookies are 312 cookies.l. because 13×24=312
What is the product?
Answer:
24x^4+32x^3+32x^2+16x+10
Step-by-step explanation:
Using distributive property,
1. multiple 4x^2 times (6x^2+8x+5)
2. multiple 2 times (6x^2+8x+5)
3. add them together
24x^4+32x^3+20x^2
+ 12x^2+16x+10
______________________
24x^4+32x^3+32x^2+16x+10
Find the area of the figure (in cm2). (Simplify your answer completely.)
The area of the figure in the image is 800 square centimeters.
How to find the area of the figure?
Here we have a square of sidelength of 30cm, such that in each corner we removed little squares of sidelength of 5cm.
Then the area of the figure will be the difference between the area of the first square and 4 times the area of the smaller square,
The area of a square of sidelength of 30 cm is:
A = 30cm*30cm = 900cm^2
The area of a square of sidelength of 5 cm is:
a = 5cm*5cm = 25cm^2
Then the area of the figure is:
area = A - 4a = 900cm^2 - 4*25cm^2 = 800cm^2
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What is the product in 61.18 -82?
It should be noted that the product of 61.18 and 82 will be 5016.76.
How to calculate the product?It should be noted that a product of a given set of numbers simply means the multiplication of the numbers that are given.
In this case, we want to get the product of 61.18 and 82. This will be:
= 61.18 × 82
= 5016.76
In conclusion, the product of 61.18 and 82 will be 5016.76.
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What is the product of 61.18 and 82?
18 less than half a number.
The equation for the given description is 18 - 0.5x = 6
What is Equation?
A assertion that two mathematical expressions have equal values is known as an equation. An equation simply states that two things are equal. The equal to symbol, or "=," is used to indicate it.
An identity, in which the variables can take on any value, or a conditional equation, in which the variables can only take on certain values, is a mathematical declaration that two expressions are identical (roots)
According to the given statement;
Since 18 less than half a number is 6
So here we assume the number be x
Now the equation is
18 - 0.5x = 6
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During the summer, you work 25 hours per week at the Twist Ice Cream Shop and earn $8.00 per hour. You also mow lawns in your neighborhood for $10 per hour and can work as many hours as you want. You want to earn a total of $500 per week. Write and solve an equation to find out how many hours you must mow lawns to reach your goal. Let x= # of hours you mow lawns
The required equation for how many hours I have to work mowing lawns is f(x) = 10x + 200 and the required no. of hours is 30 hours.
What is a function ?A function can be thought of as an output for the given set of inputs.
According to the given question I work for 25 hours per week at the twist ice-cream shop and earn 8.00 dollars per hour.
∴ My total earning in a week will be (25×8) = 200 dollars.
But i want to earn 500 per week so need (500 - 200) = 300 dollars to reach my goal.
I also mow lawns in my neighbourhood for 10 dollars per hour.
∴ I need (300/10) = 30 hours to earn the amount i need which is 500 dollars.
An equation can be written as
f(x) = 10x + 200, where x is the no. of hours and f(x) = 500.
500 = 10x + 200.
10x = 500 - 200.
10x = 300.
x = 300/10.
x = 30.
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Write the formula for the sequence: 10,6.5,3,−0.5,−4...
A. an= 3.5n − 10
B. an= 3.5n- 4
C. an= 10 - 3.5n
D. an= 13.5 - 3.5n
The formula of the sequence is aₙ = 13.5 - 3.5n
How to find the formula for a sequence?The sequence is as follows:
10, 6.5, 3, −0.5, −4...
Studying the sequence, it's an arithmetic sequence.
Therefore, using arithmetic formula,
aₙ = a + (n - 1)d
where
a = first termd = common differencen = number of termsTherefore,
common difference = d = 6.5 - 10 = -3.5
a = first term = 10
Therefore, the formula of the sequence is as follows:
aₙ = 10 + (n - 1)-3.5
aₙ = 10 - 3.5n + 3.5
aₙ = 13.5 - 3.5n
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Erin wants to create a flower garden in the shape of a triangle. If the triangle has a base of 12 feet and a height of 10 feet, what's the area of the garden?
Answer:
[tex]60cm {}^{2} [/tex]
Step-by-step explanation:
Area for triangle is equal to half base time perpendicular height.
[tex] \frac{1}{2} (10 \times 12)[/tex]
[tex] \frac{1}{2} (120)[/tex]
[tex]60cm ^{2} [/tex]
note that it's 10cm X 12 cm that's how you get cm²
write ____ as a single power of 3
Answer:
[tex]3^{16/5}[/tex]
Step-by-step explanation:
[tex]3^3 \times \sqrt[5]{3} \\ \\ =3^3 \times 3^{1/5} \\ \\ =3^{16/5}[/tex]