Answer:
\(\$17181.86\)
Step-by-step explanation:
\(A=P(1+r)^t\\A=10000(1+0.07)^8\\A=10000(1.07)^8\\A\approx\$17181.86\)
Answer: $17182.
This is an example of an exponential growth function, which looks like f(x)=a(1+r)^x, where r is the growth rate, a is the initial value, and x is the time. 10000 is the initial value, 7% is the growth rate, and 8 years is the time. 7% can become 0.07. f(x)=10000(1+0.07)^8. f(x)=10000(1.07)^8. First simplify the exponent. f(x)=10000(1.71818618). f(x)≈17182.
Roll a pair of fair six-sided dice. Let D denote the absolute value of the difference between the dice. For example, if a 3 and a 5 are rolled, then D = 2. Find the expected value of the random vari- able D, E[D]. 1. E[D]= 2. E[D]= 3. E[D] = 4. E[D]= 76 36 36 70 36 72 36
The expected value of the random variable D is 6.. This gives us the following equation :E[D] = 0(1/6) + 1(1/6) + 2(1/6) + 3(1/6) + 4(1/6) + 5(1/6)
The expected value of the random variable D, E[D], can be calculated using the following formula :E[D] = ΣD P(D) Where ΣD is the sum of all possible values of D and P(D) is the probability of each of those values. In this case, the possible values of D are 0, 1, 2, 3, 4, 5. The probability of each of these values is the same, since each has an equal chance of being rolled on the dice. To calculate the expected value, we must multiply each value of D with its probability, and then sum all of these products. This gives us the following equation:E[D] = 0(1/6) + 1(1/6) + 2(1/6) + 3(1/6) + 4(1/6) + 5(1/6) .E[D] = 36/6 = 6.Therefore, the expected value of the random variable D is 6.
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5+5 is what i can not even get it is hard
Answer:
Step-by-step explanation:
10 plzz give me brainliest see ya
A customer paid a total of $6.00 for 68 copies at a print shop. Some of the copies were
black-and-white copies, and the rest were color copies.
• Each black-and-white copy cost $0.08.
• Each color copy cost $0.15.
Which system of equations can be used to find b, the number of black-and-white copies, and
c, the number of color copies that the customer paid for at the print shop?
The system of equations for find b, the number of black-and-white copies, and c, the number of color copies that the customer paid for at the print shop is,
⇒ b + c = 68
⇒ 0.08b + 0.15c = 6
What is linear expression?
A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.
Given that;
Total amount paid = $6.00
Total copies = 68
Cost of black-and-white copy = $0.08
Cost of color copy = $0.15
Now, Let number of black-and-white copies = b
And, Number of color copies = c
Hence, The equation become;
b + c = 68
0.08b + 0.15c = 6
Therefore, The system of equations for find b, the number of black-and-white copies, and c, the number of color copies that the customer paid for at the print shop is,
⇒ b + c = 68
⇒ 0.08b + 0.15c = $6
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Solve for x. Round to the nearest tenth of a
degree, if necessary.
X
73
83
W
to
+
Answer:
Set your calculator to Degree mode.
\(x = {sin}^{ - 1} \frac{73}{83} = 61.6 \: degrees\)
Angle x measures about 61.6°.
Look at the square pyramid shown below. Which of the equation best represents volume of this pyramid terms of H?
F. V = 2h cubic units
G. V = 36h cubic units
H. V = 18h cubic units
J. V = 12h cubic units
Answer:
J. V = 12h cubic units
Step-by-step explanation:
Volume if a square pyramid = ⅓*a²*h
Where,
h = height = ?
a = edge = 6 in.
Plug in the values
Volume = ⅓*6²*h
V = ⅓*36*h
V = 12*h
V = 12h cubic units
Intelligence Quotient (IQ) scores are often reported to be normally distributed with μ=100.0 and σ=15.0. A random sample of 51 people is taken. Step 1 of 2 : What is the probability of a random person on the street having an IQ score of less than 98? Round your answer to 4 decimal places, if necessary.
Answer:
0.4470 = 44.70% probability of a random person on the street having an IQ score of less than 98.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
What is the probability of a random person on the street having an IQ score of less than 98?
This is the pvalue of Z when X = 98. So
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{98 - 100}{15}\)
\(Z = -0.1333\)
\(Z = -0.1333\) has a pvalue of 0.4470
0.4470 = 44.70% probability of a random person on the street having an IQ score of less than 98.
The perimeter of a collage basketball court is 96 meters and the length is 14 meters more than the width. What are the dimensions? HELP MEEEEE
Answer:
width = 17 m ; length = 31 m
Step-by-step explanation:
w = width
l = length
perimeter of a rectangle = (length + width) * 2
l = 14 + w
(14 + w + w) * 2 = 96
(14 + 2w) * 2 = 96
28 + 4w = 96
4w = 68
w = 17 m
l = 14 + 17 = 31 m
Mrs hello sold one bottle of Fanta for 35k, if Juliet bought 24 bottles from her, how much did she pay
Answer:
840,000
Step-by-step explanation:
all you need to do is do 35000 times it by how much she bought then you get your awnser
Answer:
your answer is 840,000
and btw she got big bank
Step-by-step explanation:
HELP PLEASE! Which reason is the justification for the statement that angle A ≅ angle B?
A) Vertical angles are congruent.
B) Linear angles are equal.
C) Intersecting lines form opposing angles.
D) Lines intersect at one point.
I will mark you brainiest!
Given an equilateral triangle with two vertices located at (-8, -5) and (3, 7), what is its perimeter?
A) 16.2 units
B) 32.4 units
C) 48.9 units
D) 63.2 units
The correct option is C) 48.9 units. To find the perimeter of the equilateral triangle, we first need to determine the length of one side of the triangle. Since the triangle is equilateral, all three sides are of equal length.
We can use the distance formula to find the length of one side of the triangle. Let's choose the two vertices located at (-8, -5) and (3, 7) to find the distance between them.
Distance between (-8, -5) and (3, 7) = √[(3 - (-8))² + (7 - (-5))²]
= √[11² + 12²]
= √(121 + 144)
= √265
Since the triangle is equilateral, all three sides are of the same length, so the length of one side of the triangle is also √265.
Therefore, the perimeter of the triangle is 3 times the length of one side:
Perimeter = 3 × √265
= 48.91 (rounded to two decimal places)
Therefore, the correct option is C) 48.9 units.
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The initial size of a culture of bacteria 1100. After 1 hour, the bacteria count is 9500.
Find the function n(t)=no
that models the population after
hours.
Find the population after 1.5 hours.
Then Find the number of hours when the number of bacteria will reach 20,000.
Sketch the graph of the population function.
To find the function n(t) that models the population of bacteria after t hours, we can use the exponential growth formula:
n(t) = n0 * e^(kt)
Where:
n(t) is the population after t hours,
n0 is the initial population size,
e is the base of the natural logarithm (approximately 2.71828),
k is the growth rate constant.
We can determine the value of k using the given information. After 1 hour, the bacteria count is 9500, which is the population at time t = 1. Plugging these values into the equation:
\(9500 = 1100 * e^(k*1)\)
To find k, we can divide both sides by 1100:
9500/1100 = e^k
Now, we can solve for k by taking the natural logarithm (ln) of both sides:
ln(9500/1100) = ln(e^k)
ln(9500/1100) = k
Now we have the value of k. We can plug it back into the exponential growth formula to obtain the function n(t):
\(n(t) = 1100 * e^(ln(9500/1100) * t)\)
To find the population after 1.5 hours, we can substitute t = 1.5 into the equation:
\(n(1.5) = 1100 * e^(ln(9500/1100) * 1.5)\)
To find the number of hours when the number of bacteria will reach 20,000, we can set n(t) equal to 20,000 and solve for t:
\(20,000 = 1100 * e^(ln(9500/1100) * t)\)
Finally, to sketch the graph of the population function, plot the values of t on the x-axis and the corresponding values of n(t) on the y-axis using the equation n(t) = 1100 * e^(ln(9500/1100) * t). The resulting graph will show the exponential growth of the bacteria population over time.
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4. Represent the following sets in Roster form.
(i) A=The set of all odd natural numbers less than 20.
(ii) B={y: y = n,nEN, n ≤7}
(iii) C = {x: x is a perfect cube, 8 < x < 125} (iv) D= {x: xEZ,-2 < x < 2}
The roster form of the given sets are:
(i) A = {1, 3, 5, 7, 9, 11, 13, 15, 17, 19}.
(ii) B = {1, 2, 3, 4, 5, 6, 7}.
(iii) C = {27, 64}.
(iv) D = {-1, 0, 1}.
The roster form of any set is the set with all elements of the set written in the set.
In the question, we are asked to represent the known sets in the roster form.
(i) A=The set of all odd natural numbers less than 20.
The set of all natural numbers, that is numbers after 1.
Odd numbers are numbers of the form 2n - 1.
Thus, the roster form is: A = {1, 3, 5, 7, 9, 11, 13, 15, 17, 19}.
Going similarly to the others, we will get:
(ii) B={y: y = n, n ∈ N, n ≤7}
Roster form is, B = {1, 2, 3, 4, 5, 6, 7}.
(iii) C = {x: x is a perfect cube, 8 < x < 125}
Roster form is, C = {27, 64}.
(iv) D= {x: x ∈ Z, -2 < x < 2}.
The roster form is, D = {-1, 0, 1}.
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question is in the image below
The perimeter of Sam's string is 178 inches.
Given information:
Sam has a rectangular shaped window.
Length = 65 inches.
Width = 24 inches.
To find the perimeter:
you can use the formula:
Perimeter = 2 x (Length + Width)
Substituting the values into the formula, we have:
Perimeter = 2 x (65 + 24)
Perimeter = 2 x 89
Perimeter = 178 inches
Therefore, the perimeter of the rectangular window is 178 inches.
So, the perimeter of the rectangular window is 178 inches. This means that if you were to walk along the outline of the window, you would cover a total distance of 178 inches. It's important to note that the perimeter represents the total length of all the sides combined, and it is measured in the same unit (in this case, inches) as the length and width of the window.
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simplify: 16-10÷5+13
(a) 31
(b) 1/3
(c)139/9
(d)27
Step-by-step explanation:
16 - 10 × 1/5 + 13
16 - 5 + 13
11 + 13
24
Step-by-step explanation:
10/5=2
16-2+13=27.
d. 27
13 Convert 20 to a percentage.
The time of the clock is 12:42 and if it changes like 12:59 and if you estimate how much is the total estimated time.
Answer:
17 minutes have elapsed
Step-by-step explanation:
By subtracting the minutes since they are in the same hour, 59-42 = 17.
Take a look at the figure. What are the coordinates of the point labeled A in the graph shown?
A. (2,-2). B. (-2,4)
C. (2, 2)
D.(-2, 2)
Answer:
(2,-2)
Step-by-step explanation:
Point A is 2 units to the right of the origin so the x coordinate is 2
It is also 2 units down so the y coordinate is -2
The point is (x,y) so A = (2,-2)
Answer:
A.(2,-2)
Step-by-step explanation:
1. Mrs. Lee cut a pie into 6 pieces. She
gave each of her 4 children a
piece of pie.
If Mrs. Lee divided the entire pie equally
among her children, what fraction of
the remaining pieces of pie did
Mrs. Lee give each child?
A 14 piece of pie
į piece of pie
1
с
3
piece of pie
1
D à piece of pie
4
B
Answer:
She would have two leftover slices
Step-by-step explanation:
Answer:
She gave each children 1 piece of pie. She will have 2 leftover slices so she can cut both in half and each child can get another half of a single pie.
Below are two parallel lines with a third line intersecting them.
Answer: 132 degrees
Step-by-step explanation:
Because the lines are parallel, and the line intersecting them is straight, the angle on top should be the same as the angle on the bottom.
So that makes x=132
A box contains 2 red marbles, 5 green marbles and 8 blue marbles. Find the probability of the different events.
P ( 3 blue ) =
P (blue & green)
The value of the probability of the different events are,
The value of the probability P (3) is,
⇒ 1 / 5
And, The value of the probability P (blue & green) is,
⇒ 8/45
We have to given that;
A box contains 2 red marbles, 5 green marbles and 8 blue marbles.
Hence, Total marbles = 2 + 5 + 8 = 15
So, The value of the probability P (3) is,
⇒ 3 / 15
⇒ 1 / 5
And, The value of the probability P (blue & green) is,
⇒ 8/15 x 5/15
⇒ 8/15 x 1/3
⇒ 8 / 45
Thus, The value of the probability P (3) is,
⇒ 1 / 5
And, The value of the probability P (blue & green) is,
⇒ 8/45
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List the terms of the polynomial. Give the coefficient of the second term. -4y5 + 6x4 +9w³ - 4w - 1 Separate terms using commas. Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/c . Make sure your variables match those in the question. Terms Coefficient
The coefficient of the second term, 6x⁴, is 6.
The terms of the polynomial are:
-4y⁵, 6x⁴, 9w³, -4w, -1
The coefficient of the second term, which is 6x⁴, we look at the number in front of the variable term.
The coefficient is 6.
Therefore, the list of terms is:
-4y⁵, 6x⁴, 9w³, -4w, -1
Each term represents a separate component of the polynomial, where the variable is raised to a certain power and multiplied by its coefficient.
The coefficients indicate the scalar value by which each term is multiplied.
The polynomial's terms are -4y5, 6x4, 9w3, -4w, and -1.
Looking at the number in front of the variable term, we can determine the second term's coefficient, which is 6x4.
There is a 6 coefficient.
As a result, the terms are as follows: -4y5, 6x4, 9w3, -4w, and -1.
Each term represents a different part of the polynomial, where the variable is multiplied by its coefficient and raised to a given power.
The scalar value by which each phrase is multiplied is shown by the coefficients.
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sphere edges vertices face ?
A sphere has no faces, no edges, and no vertices.
What are the faces, edges and vertices of a sphere ?A sphere is defined as the set of all points in three-dimensional space that are equidistant from a fixed point, called the center. The distance from the center to any point on the sphere is called the radius.
Spheres have a continuous, smooth, and curved surface, unlike polyhedra, which have flat faces, edges, and vertices. In contrast, a sphere does not have any flat faces, straight edges, or sharp corners. Its surface is entirely smooth and curved, with no distinct points where multiple edges meet.
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5. A certain company stock began at a starting price of $23
per share. After five weeks of trading, the new company
stock has changed price every week, x, according to the
function h(x) = 25(0.93)*.
Which of the following is true?
F. The stock has increased by 93% of its original value.
G. The stock has lost 79% of its value every week.
H. The stock is worth $23.25 per share after five weeks.
). The stock has more than doubled its original value.
Answer:
$ 56.25 is he answer
Step-by-step explanation:
.... .. . . . . . . ............ ......
An actor is 78 inches tall. The action figure of the actor is 6 1/2 inches tall.how many times taller is the actual actor than the action figure
Answer:
the actual actor is 71.5 inches tall than the action figure.
What is the volume of a cylinder of radius 4cm and length of 8cm. famula π=3.14
Answer:
401.92 cm^3
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h where r is the radius and h is the height
V = (3.14) (4)^2 *8
V= 401.92
PLS HELP ME I HAVE NO IDEA WHAT THESE ARE. If you can find all the answers and give me the words you would be a life saver
Answer:
SO EVERYONE WOULD SHOUT LOOK AT THE S CAR GO
Step-by-step explanation:
The brackets just mean to multiplye.g. 3(2)(5) is the same as 3 × 2 × 5When you get the answer, find in in the boxes below and write the letter of that equationI will not go through each question separately because it would take too long, but will give you the wordsMark wants to be a chef someday and would like to start learning to grow his own
ingredients in a garden. His mom gives him 12 square feet of space in the back yard to plant
a garden. He marks off % of it to save for a tomato plant and has the rest to use for onions.
Each onion bulb needs square feet of room to grow. How many onion bulbs can he
plant?
The area of the space available for onions is:n12 square feet - 0.12x square feet. number of onion bulbs Mark can plant is: (12 - 0.12x) / y
What is percentage?
Percentage is a way of expressing a number or proportion as a fraction of 100. It is represented by the symbol "%".
Mark has marked off a certain percentage of the 12 square feet to save for a tomato plant, which means the remaining space will be used for onions.
Let's say Mark marks off x% of the space for the tomato plant. That means he will have (100-x)% of the space for onions.
The area of the space reserved for the tomato plant is:
12 square feet x (x/100) = 0.12x square feet
The area of the space available for onions is:
12 square feet - 0.12x square feet
Let's say each onion bulb needs y square feet of room to grow. Mark can plant as many onion bulbs as can fit in the remaining space, which is:
(12 square feet - 0.12x square feet) / y
So the number of onion bulbs Mark can plant is:
(12 - 0.12x) / y.
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A triangle has the measures of two of its interior angles 48° and 65°, the third interior angle is unknown. What is the value of the exterior angle corresponding to the interior angle whose value is unknown?
a) 123°
b) 131°
c) 113°
d) 128°
e) 118°
Answer:
c) 113°
Step-by-step explanation:
Exterior angle is equal to the sum or the "remote" interior angles, that is the two angles that are not just next to the exterior angle. See image.
So the answer, quickly:
exterior angle
= 65° + 48°
= 113°
This is why:
(skip if you don't care)
The three angles in a triangle add up to 180° But also, a linear pair of angles also add up to 180°
So
x + 65° + 48° = 180°
x + y = 180°
y = 65° + 48°
See image.
which property of exponents must you apply to the express p 1/2 to derive p as the result
The expression becomes: p^(1/2) = p^(1/2 * 1) = p^(1/2) Now we can simplify p^(1/2) as p^1/2 which equals the square root of p.
The property of exponents that must be applied to the expression p^(1/2) to derive p as the result is the Power of a Power Property.
The Power of a Power Property states that when a power is raised to another power, the exponents are multiplied.
For instance, consider the expression p^(1/2). We can apply the Power of a Power Property to this expression as follows: p^(1/2) = (p^(1/2))^1 By applying the Power of a Power Property, the exponent (1/2) is multiplied by the exponent 1, giving a result of 1/2.
Therefore, the expression becomes: p^(1/2) = p^(1/2 * 1) = p^(1/2)Now we can simplify p^(1/2) as p^1/2 which equals the square root of p.
So we have derived p as the result using the Power of a Power Property.
In summary, we must apply the Power of a Power Property to the expression p^(1/2) to derive p as the result.
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pls i need help asap Solve the equation shown for x. 4(–x + 4) = 12 Enter your answer in the box. x =
Answer: 15
Step-by-step explanation:
casue
Answer:
x = 1
Lemme know if you need the steps.
Please mark brainliest if possible :)