Answer:
To calculate the interest earned on a savings account, you first need to determine the interest rate per year and the time the money is invested. In this case, the interest rate is 4.5% and the time is 2 years.
The formula for simple interest is I=Prt, where I is the interest earned, P is the principal (the initial amount invested), r is the interest rate, and t is the time. Plugging in the values from the problem, we get I = 1250 * 0.045 * 2 = $112.50.
Therefore, Ethan will earn $112.50 in interest after 2 years if he does not add or withdraw any money from the account. Rounded to the nearest cent, this is $112.00.
Step-by-step explanation:
what is -3 2/3+3 1/6 in simplest form
Answer: -1/2
Step-by-step explanation:
-3 2/3+3 1/6=
-(3*3+2)/3 + (6*3+1)/6=
-11/3+19/6=
-22/6+19/6=
(-22+19)/6=
-3/6=-1/2
What are the changes in the resistances (in ohms) corresponding to a tensile strain of 0.064 and a compressive strain of -0.0086 assuming a gage factor gf = 2.10?
ΔRc = - 1.806 are the changes in the resistances (in ohms) corresponding to a tensile strain of 0.064.
What are examples of resistance?
Resistance is characterized as a resistance to yield to something that hinders or slows something down. A youngster battling her kidnapper is an illustration of resistance. Wind against a plane's wings is an illustration of resistance.GF = ΔR/R /E
a) Tensile strain E = 0.064
so ΔR = R . E . G.F
= 100 × 0.064 × 2.10
ΔRt = 13.44
b) Compressive strain E = - 0. 0086
ΔR = R . E . G.F.
= 100 × - 0.0086 × 2.10
ΔRc = - 1.806
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Me miles burrow lies 5 meters below ground. He started digging his way deeper into the ground. Descending 3 meters each minute. Graph the relationship between Mr. Moles elevation relative to the ground (in meters) and in time (in minutes)
Answer:
y= -3x-5
Step-by-step explanation:
Since your 5 m below, it is -5
The rate of change is 3 but since your going down, it is -3.
Hope this helps and sorry I can't graph this but you can use the equation to help
Which table can be generated from the equation y = 2x + 17
Step-by-step explanation:
x | y
-2.| 13
-1. | 15
0. | 17
1. | 19
2. | 21
just start with the y-intercept and then add 2 or subtract two depending on whether your increasing x or decreasing x. as x increases 1 y increases 2.
50 POINTS PLEASE HELP!! Please only answer if you know the answer 100%!!! <3
How many terms are in the following polynomial? Classify it. (Hint: what do we call a polynomial with that many terms?
15x-7x2+8
Answer: Three terms
Step-by-step explanation:
This is a trinomial, since there are three numbers. Since it is a trinomial, there are three terms.
Answer:
The correct answer is 4.
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What is the median of this data set?
The median of the given data set as required to be determined in the task content is; 4.
What value represents the median of the data set?It follows from the task content that the value which represents the median of the data set is to be determined.
By observation, the number of data values in the data set is; 15. On this note, the median value would be the eighth term in an orderly arrange of the values.
Consequently, the median of the data set as required is; 4.
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Find the mean, median, mode, and range of the following data with and without outliers.
110, 64, 23, 95, 86, 17, 23, 100, 95, 67
HELP. td is the last day to finish hmw and I'm behind :,)
Answer:
mean: 68
median: 76.5
mode: 23, 95
range: 93
Step-by-step explanation:
Put numbers in order:
17, 23, 23, 64, 67, 86, 95, 95, 100, 110
mean: sum of the terms / number of terms
sum of the terms: 17 + 23 + 23 + 64 + 67 + 86 + 95 + 95 + 100 + 110 = 680
number of terms: 10
680 / 10 = 68
median: number of terms / 2
10 / 2 = 5, 5th number on the list
17, 23, 23, 64, 67, 86, 95, 95, 100, 110
between 67 and 86 since its an even number data set
67 + 86 / 2 = 76.5
mode: the most occurring number
17, 23, 23, 64, 67, 86, 95, 95, 100, 110
- 17, 64, 67, 86, 100, 110 has 1 each
- 23 has 2
- 95 has 2
23 and 95 have the same reoccurring amount
range: max - min numbers
17, 23, 23, 64, 67, 86, 95, 95, 100, 110
110 - 17 = 93
NO outliers
Hope this helps you a little more for your last day of finishing hmw :)
Let me know if you need anymore help !
OR have questions
whats the answer i dont know it
Answer:
I believe its 10
Step-by-step explanation:
Solve for 8x + 17 = 41 for x. Show your work.
The value οf x is 3
What is variable?A variety οf issues are resοlved by algebraic calculatiοns that treat variables like explicit integers in a single cοmputatiοn. The quadratic fοrmula, fοr instance, can be used tο sοlve any quadratic equatiοn by exchanging the variables in the quadratic fοrmula fοr the numerical values οf the cοefficients in the equatiοn.
A variable in mathematical lοgic is either a symbοl fοr an undefined term οf the theοry (a meta-variable), οr it is a fundamental οbject οf the theοry that is changed withοut cοnsidering any pοtential intuitive meaning.
Given
8x+17 = 41
Sοlving fοr variable 'x'
Add '-17' tο each side.
17 + -17 + 8x = 41 + -17
Or, 8x=24
Divide each side by '8'
Or, x=3
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Analyze the polynomial function f(x)=x^2(x+2) using parts a through e
A Determine the end behavior of the graph of the function. The graph of f behaves like y=____ for large values of |x|.
b. Find the x- and y- intercepts of the graph of the function. use commas to separate answers
C. Determine the zeros of the function and their multiplicity. Use the information to determine whether the graph crosses or touches the x-axis at each x-intercept.
Complete the sentence: The lesser zero of the function is of multiplicity ____, so the graph of f (crosses/touches) the x-axis at x=____. The greater zero of the function of multiplicity _____, so the graph of f (crosses/touches) the x-axis at x=_____.
Determine the maximum number of turning points on the graph of the function =(whole number)
e. Graph the function
The polynomial function f(x)=x²(x+2) in terms of end behavior approaches positive infinity as x approaches positive and negative infinity, the x-intercepts are at x = 0 and x = -2, the y-intercept is at the origin, the zeros are x = 0 (with multiplicity 2) and x = -2, there can be a maximum of 2 turning points.
What are the characteristics of the polynomial function f(x)=x²(x+2) in terms of end behavior, intercepts, zeros, turning points, and graphing?a) The end behavior of the graph of the function is y approaches positive infinity as x approaches positive infinity and y approaches positive infinity as x approaches negative infinity.
b) The x-intercepts of the graph occur when f(x) = 0, which are x = 0 and x = -2. The y-intercept occurs when x = 0, which is y = 0.
c) The zeros of the function are x = 0 (with multiplicity 2) and x = -2. The lesser zero of multiplicity 2 means the graph touches the x-axis at x = 0. The greater zero of multiplicity 1 means the graph crosses the x-axis at x = -2.
d) The maximum number of turning points on the graph of the function is 2 (a whole number).
e) Graphing the function would require plotting points and connecting them to form the graph, taking into account the x-intercepts, y-intercept, end behavior, and turning points.
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Math algerbra I believe I have to simplify the equation but I have no idea we’re to start
Given the equation:
\(2=(1.07)^x\)To solve this equation for x, we need to take the binary logarithm on both sides of the equation:
\(\log _22=\log \lbrack(1.07)^x\rbrack\)There are two important properties of logarithms (binary or any other kind):
\(undefined\)Keisha runs 3 miles in 25 minutes. At the same rate, how many miles would she run in 20 minutes?
Answer:
2.4 miles
Step-by-step explanation:
PLEASE HELP!!!!!
4. A cube has a volume of 64 m². What is the cube's surface area?
12 points!!! <333
Answer:
Surface area = 96 m^2
Step-by-step explanation:
Let's cube root the volume to find the length of one side of the cube.
\(64^\frac{1}{3} = 4\)
Therefore each side is 4 m.
Surface area of one side = 4x4 = 16
A cube has 6 sides.
Total surface area of the cube = 16*6 = 96 m^2
What is the area, in square centimeters, of the shaded part of the rectangle below?
Answer:
Step-by-step explanation:
17*8= the entire rectangle which is 136
Area of triangle=(base*height)divided by 2
The base of the white triangle is 4 because 8-4=4 and the height is 17
17*4=68
68/2=34
34= the area of the triangle
Area of the rectangle-area of the triangle=102
102 is your answer.
hopefully i did this right:)
there are unknown number of oranges in a bag. seven oranges in the bag are stale. now you need to pick two oranges out of the bag. the probability to pick two stale oranges is 2/21. what is the total number of the orange in the bag?
The total number of oranges present in the bag was 21.
Explain the term probability?A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages extending from 0% through 100% can be used to describe probabilities.For the stated question.
Let the total number of oranges in the bag be 'x'.
Total stale oranges = 7.
Thus,
Probability (first orange is stale) = Total stale oranges/ Total oranges.
Probability (first orange is stale) = 7/x
Probability (second orange is stale) = 6/(x - 1).
But, probability to pick two stale oranges is 2/21
7/x . 6/(x - 1) = 2/21
On solving,
x ² - x - 441 = 0
x = 21
Thus, the total number of oranges present in the bag was 21.
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The sum of two numbers is 892. One of the numbers is 363. What is the other number?
Answer:
I wish I've known, but try using Symbo-Lab or Math-Way. They help a lot.
Step-by-step explanation:
Answer:
229
Step-by-step explanation:
363 -892=229
229+363=892
A ________ is the value of a statistic that estimates the value of a parameter a critical value b standard error c. level of confidence d point estimate Question 2 Mu is used to estimate X True False Question 3 Beta is used to estimate p True False
A point estimate is the value of a statistic that estimates the value of a parameter. Question 2 is false and question 3 is true.
Question 1: A point estimate is the value of a statistic that estimates the value of a parameter.A point estimate is a single number that is used to estimate the value of an unknown parameter of a population, such as a population mean or proportion
Question 2: False
Mu (μ) is not used to estimate X. Mu represents the population mean, while X represents the sample mean. The sample mean, X, is used as an estimate of the population mean, μ.
Question 3: True
Beta (β) is indeed used to estimate the population proportion (p) when conducting hypothesis testing on a sample. Beta represents the probability of making a Type II error, which occurs when we fail to reject a null hypothesis that is actually false. By calculating the probability of a Type II error, we indirectly estimate the population proportion, p, under certain conditions and assumptions.
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Please help!!!!!!!!!
Answer: B
Step-by-step explanation:
The line is curved which makes it a non-linear function.
five times a number is at most 15 what are the possible values for the number
Answer:
x <= 3 represents all values such as: -∞, -100, -4, -3, -2, -1, 0, 1, 2, 3.
Step-by-step explanation:
5x <= 15
Next, we'll solve for x by dividing both sides by 5:
x <= 3
So, the possible values for the number are any value less than or equal to 3, including negative numbers.
x <= 3 represents all values such as: -∞, -100, -4, -3, -2, -1, 0, 1, 2, 3.
Possible names for this figure please help this is geometry
Answer:
a
Step-by-step explanation:
the sides a parallel but non of it is a rectangle and it has the distinct shape of a kite.
Michael’s child is going to college in 13 years. If he saves $ 7,000 a year at 9%
compounded annually. How much will be available for Peter’s child education?
Michael’s child is going to college in 13 years. If he saves $ 7,000 a year at 9% compounded annually. Therefore, the amount available for Peter's child education will be $147,330.55.
Given that Michael is saving $7,000 per year for his child's education which will occur in 13 years. If the interest rate is 9% compounded annually,
The problem of finding the amount of money Michael will have saved in 13 years is a compound interest problem.
In this case, the formula for calculating the future value of the annuity is: $FV = A[(1 + r)n - 1] / r
where: FV is the future value of the annuity, A is the annual payment,r is the annual interest rate, and n is the number of payments.
Using the above formula; the future value of Michael's savings is:
FV = 7000[(1 + 0.09)^13 - 1] / 0.09= 7000(1.09^13 - 1) / 0.09= 147,330.55
Therefore, the amount available for Peter's child education will be $147,330.55.
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Jim builds a robot that travels no more than 10 feet per minute. Graph the inequality showing the relationship between the distance traveled and the time elapsed.
Is it possible for the robot to travel 27 feet in 3 minutes?
Answer:
no robot can travel 27 feet in 3 minutes
Step-by-step explanation:
True or false WXY is a right triangle.
Answer: True
Step-by-step explanation:
This triangle has 2 legs
leg a and leg b
and the longest side which is called the hypotenuse
Therefore this triangle fits the criteria of a right triangle
The triangle ΔWXY is a right angle triangle with sides √18 , √18 , √36
What is a Triangle?
A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the triangle be ΔWXY
Now , the sides of the triangle is
WX = √36
WY = √18
XY = √18
Now , for the triangle WXY to be a right angle triangle
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
Substituting the value in the equation , we get
WX² = XY² + WY²
( √36 )² = ( √18 )² + ( √18 )²
36 = 18 + 18
36 = 36
Therefore , it is a right angle triangle
Hence ,
The triangle ΔWXY is a right angle triangle
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Which problem can we solve with 27 : 3?
Choose 1 answer:
A
Gino had 27 walnut trees in his yard. He cut 3 down
to use for firewood. How many walnut trees does
Gino have left?
Lindsey picked 3 bags of apples. There are 27 apples
in each bag. How many apples does she have in
total?
La Tasha has 27 rabbit stickers. She splits the stickers
evenly among 3 pieces of paper. How many stickers
did La Tasha put on each piece of paper?
Answer:
La Tasha has 27 rabbit stickers. She splits the stickers
evenly among 3 pieces of paper. How many stickers
did La Tasha put on each piece of paper?
Step-by-step explanation:
Refer to the regular square pyramid shown. 13. B = ? 14. L.A. = ? 15. T.A. = ? 16. V = ?
The total surface area of the pyramid is 1,296 unit².
The lateral surface area (L.A) of the pyramid is 19.21 unit².
The volume of pyramid is 120 unit³.
What is the surface area of the pyramid?The surface area of the pyramid is calculated as follows;
T.S.A = 2bh + b²
where;
b is the base of the triangular faceh is the height of each triangular faceIn then diagram, we where given, base, b = 24 units, height = 15 units, then the surface area of the pyramid is calculated as follows;
T.S.A = 2 x 24 x 15 + 24²
T.S.A = 1,296 unit²
The lateral surface area is calculated as
L.A = √(b²/4 + h²)
L.A = √(24²/4 + 15²)
L.A = 19.21 unit²
The volume of pyramid is calculated as;
V = ¹/₃BH
V = ¹/₃ x 24 x 15
V = 120 unit³
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The thickness of a block is approximately 2 centimeters. How many blocks are in a stack that is 1,000 millimeters high? ( 1 cm = 10 mm )
Answer:
1block=2cm
1cm=10mm
therefore 1block=2×10=20
1000÷20=50
=50blocks
help plz
Identify complementary angles in the given figure.
A)
4 and 6
B)
4 and 7
C)
1 and 8
D)
5 and 3
Answer:
C)
Because I did that test and got that right
Answer:
the answer would be (D) 1 and 8
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the square root of 4 is 2
✓38 is approximately equal to
A. 20
B. 3.8
C. 6
D. 14
Answer:
C
Step-by-step explanation:
I hope this helps you out!
The graphs of y=f(x) and g(x) are shown below: a: -5 and 6 b: 4 and 7 c: -3,-1, and 4 d: -3,1,3 and 5