1.) Sarah got a loan for $5,000 to renovate her kitchen. She got an interest
rate of 5.5%. What vocabulary word describes what the $5,000 is? *
O /
A Interest accrued/earned
B Interest Rate
O c Principal
O D Percent Equation
Answers
The principal is the amount you borrow.
Related Questions
In a unit circle, ø = 2pi radians What is the terminal point?
A. (0,1).
B. (0, -1)
C. (-1,0)
D. (1,0)
Answers
Answer:
The terminal point is (1, 0) ⇒ D
Step-by-step explanation:
In the unit circle, Ф is the angle between the terminal side and the positive part of the x-xis.
The terminal point on the positive part of the x-axis is (1, 0),which means Ф = 0° or 360° and cosФ = 1, sinФ = 0The terminal point on the positive part of the y-axis is (0, 1),which means Ф = 90° and cosФ = 0, sinФ = 1The terminal point on the negative part of the x-axis is (-1, 0),which means Ф = 180° and cosФ = -1, sinФ = 0The terminal point on the negative part of the y-axis is (0, -1),which means Ф = 270° and cosФ = 0, sinФ = -1In a unit circle
∵ Ф = 2π radians
∵ 2π radians = 360°
→ By using the 1st rule above
∴ The terminal point is (1, 0)
A coin-operated drink machine was designed to discharge a mean of 7 ounces of coffee per cup. In a test of the machine, the discharge amounts in 18 randomly chosen cups of coffee from the machine were recorded. The sample mean and sample standard deviation were 7.04 ounces and 0.17 ounces, respectively. If we assume that the discharge amounts are normally distributed, is there enough evidence, at the 0.1 level of significance, to conclude that the true mean discharge,u, differs from ounces? Perform a two-tailed test. Then fill in the table below. I need the two critical values at the 0.1 level of significace. Also need the answers to al other questions and whether we accpe for reject.
Answers
Using the t-distribution, it is found that since the test statistic is between -1.7341 and 1.7341, we do not reject(accept) the null hypothesis, hence there is not enough evidence to conclude that the true mean discharge differs from 7 ounces.
What are the hypothesis tested?At the null hypothesis, it is tested if the mean is of 7 ounces, that is:
\(H_0: \mu = 7\)
At the alternative hypothesis, it is tested if the mean is different of 7 ounces, that is:
\(H_1: \mu \neq 7\)
What is the test statistic?The test statistic is given by:
\(t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}\)
The parameters are:
\(\overline{x}\) is the sample mean.\(\mu\) is the value tested at the null hypothesis.s is the standard deviation of the sample.n is the sample size.The values of the parameters are given by:
\(\overline{x} = 7.04, \mu = 7, s = 0.17, n = 18\)
Hence the value of the test statistic is found as follows:
\(t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}\)
\(t = \frac{7.04 - 7}{\frac{0.17}{\sqrt{18}}}\)
t = 1
What is the decision?Considering a two-tailed test, as we are testing if the mean is different of a value, with 18 - 1 = 17 df and a significance level of 0.1, the critical value is of \(t^{\ast} = 1.7341\)
Since the test statistic is between -1.7341 and 1.7341, we do not reject(accept) the null hypothesis, hence there is not enough evidence to conclude that the true mean discharge differs from 7 ounces.
More can be learned about the t-distribution at https://brainly.com/question/13873630
#SPJ1
Please help its due in 15 min hurry 100 points
Answers
Answer:
yes
Step-by-step explanation:
Describe the similarities and differences between finding the slope of a linear equation from a graph that has x and y scales that are 1:1, and from a graph that has x and y scales that are not 1:1 (say your x and y scales are 2, 4, 6).
Answers
Using the concept of the slope of a linear function, we have that:
For a graph in a 1:1 scale, we can look at two consecutive values, y when x = a and y* when x = a + 1, and subtract y* by y. For a graph in another scale, we also do the same thing, but since the scale is not 1:1, we have to divide the subtraction of y* by y by the scale.What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.Given two points in the graph of a function, the slope is given by change in y divided by change in x, hence:
For a graph in a 1:1 scale, we can look at two consecutive values, y when x = a and y* when x = a + 1, and subtract y* by y. For a graph in another scale, we also do the same thing, but since the scale is not 1:1, we have to divide the subtraction of y* by y by the scale.More can be learned about linear function concepts at https://brainly.com/question/24808124
#SPJ1
if an independent variable's null hypothesis is rejected, it should remain in the model. group of answer choices true false
Answers
The number of variables in a data collection whose values can fluctuate while others remain fixed is referred to as a degree of freedom. So, the third choice is the right one.
Define independent variable.A variable that indicates a quantity being altered in an experiment is known as an independent variable. In equations, x is frequently used to denote the independent variable. A variable that indicates a quantity being altered in an experiment is known as an independent variable. Values that fluctuate in relation to one another are independent and dependent variables in mathematics.
Given.
The number of variables in a data collection whose values can fluctuate while others remain fixed is referred to as a degree of freedom. So, the third choice is the right one.
In other words, the number of values that can change in a statistical calculation is referred to as the degree of freedom.
To learn more about independent variable, visit:
https://brainly.com/question/17344045
#SPJ4
Use the image to answer the question
Answers
Answer:
A = 140 in²
Step-by-step explanation:
The area (A) of the triangle is calculated as
A = \(\frac{1}{2}\) bh ( b is the base and h the perpendicular height )
here b = 20 and h = 14 , then
A = \(\frac{1}{2}\) × 20 × 14 = 10 × 14 = 140 in²
How to dilate a line segment from a point?.
Answers
The dilation of a line segment around a point can be accomplished by following a few simple steps as described in the detailed explanation.
The figure of the triangle required to dilate a line around a point is attached.
Here P is the point and AB is the line-segment.
The steps to draw a dilated line is as follows.
Step 1: By drawing a line segment from point P to point A and extending it via point A, we can find the point A'. In order for the distance from P to A' to be twice as great as the distance from P to A, we locate A' on this line. Step 2: The same method is used to find B' and C'.A new line l' that is parallel to line l appears to be formed by the dilations of the points on line l.It appears that the points A', B', and C' are parallel. More points on l can be chosen and dilated around point P to reveal that the dilated points also appear to lie on the line passing through points A', B', and C'.
To learn more about dilation visit:
https://brainly.com/question/13176891
#SPJ4
Apply De Morgan's law repeatedly to each Boolean expression until the complement operations in the expression only operate on a single variable. For example, there should be no xy¯ or x+y¯ in the expression. Then apply the double complement law to any variable where the complement operation is applied twice. That is, replace x¯¯ with x.
a. 1/ x + yz + u b. 1/x(y + 2)u c. 1/(x + y)(uv + x y) d. 1/xy + yz + xz
Answers
The simplified expression using De Morgan's law are a)x'y'z'u b)x'y'u c): x'y'u and d)x'y'z'+xy'z'+xyz.
The main idea is to simplify each Boolean expression by repeatedly applying De Morgan's law until each complement operation operates on a single variable.
Then, apply the double complement law to simplify the expression further. In the end, the simplified expression should contain only AND and OR operations without any complement operators acting on multiple variables.
a. 1/ x + yz + u can be simplified using De Morgan's law to: (x'y'z')u'. Then, applying the double complement law, we get the simplified expression as: x'y'z'u.
b. 1/x(y + 2)u can be simplified using De Morgan's law to: x'(y'+2')u'. Then, applying the double complement law, we get the simplified expression as: x'y'u.
c. 1/(x + y)(uv + xy) can be simplified using De Morgan's law to: (x'y')(u' + x'y'). Then, applying the double complement law, we get the simplified expression as: x'y'u.
d. 1/xy + yz + xz can be simplified using De Morgan's law to: (x'+y')(y'+z')(x'+z'). Then, applying the double complement law, we get the simplified expression as: x'y'z'+xy'z'+xyz.
In summary, to simplify Boolean expressions, we can apply De Morgan's law repeatedly and then use the double complement law to remove complement operators acting on a single variable twice.
For more questions like De Morgan's law click the link below:
https://brainly.com/question/29073742
#SPJ11
The angle of depression from the top of Pike’s Peak, at an altitude of 14,000 feet, to the city of Colorado Springs is 8o. The horizontal distance from the city to the peak is 58,000 feet. Find the altitude of Colorado Springs.
Answers
Answer:
\(\mbox{\large \boxed{\textsf{5, 849 \;feet}}}\)
Step-by-step explanation:
See figure for information pertaining to this explanation
The figure is self explanatory
The triangle ABC forms a right triangle with the vertical leg of length 14000-h and horizontal length of 58000
The angle opposite side 14000 - h = 8°
By the tangent formula
\(\tan 8^\circ = \dfrac{AB}{AC} = \dfrac{14000-h}{58000}\)
Switching sides,
\(\dfrac{14000-h}{58000} = \tan 8^\circ\)
\(14,000 - h = 58,000 \times \tan 8^\circ\\\\14,000 - h = 8,151.36 \approx 8,151\)
h = 14,000 - 8,151 = 5,849 feet
So the altitude of Colorado Springs is roughly 5,849 feet
This is close to the published value of 6,035 feet. The differences are due to estimate errors in horizontal distance, peak height and angle of depression
In a football game, a running back had 5 carries where he gained 12 yards each time and 3 carries where he lost 6 yards each time. how many total yards did the running back have during the game?
Answers
Answer:
I think the answer is 26
Step-by-step explanation:
In the question it said how many it total so 5 + 12 + 3 + 6 = 26
I hoped this helped!
Sorry if I'm wrong
a professor teaches a class of 42 students. if only 34 students show up to take the first exam, then how would we characterize this group who took the first exam?
Answers
Correct this group constitutes a sample of all students in the class.
What are some instances of intuitive reasoning?
As an illustration, when we enter a coffee shop, we immediately recognize a cup as one that we have seen many times before.
We also immediately recognize that it will probably be hot and spill quickly over an uneven surface.
What is the intuitional method?
Intuition is the earliest means of knowing. When we use our intuition, we are putting our trust in our feelings, emotions, and/or instincts to lead the way.
When using intuition, one believes what seems true rather than looking at the facts or using reason.
Learn more about intuitive thinking
brainly.com/question/12450483
#SPJ4
What are the possible values of xin x² + 3x + 3 = 0?
OA. -2√3
3
O B.
-3
-3+
± √12
2
OC.
-3
-3 +/
i√3
OD.
3+√3
2
Answers
Answer:
the pie number is 3.14 so just make square
Step-by-step explanation:
I hope this helps you alot xin and con are equal to$$$
How many centimeters are equal to 0.6 inches? Enter your answer as a decimal and round to the nearest hundredth.
Answers
Answer:
1.52cm rounded
1.524 exact
Step-by-step explanation:
For this, we use the basic conversion of 1 inch is 2.54 cm.
We can do:
2.54 cm x 0.6 inch = 1.52 cm rounded.
1. Determine if the polygons are similar.
2. If they are, write a similarity statement. If they aren't, put n/a in this blank.
3. If the polygons are similar, find the scale factor of EFGH to KLMN. If they aren't similary, put n/a in this blank.
help please
Answers
4(n+10)????????????????!!
Answers
Answer:
4n+40
.................
Determine which is the better investment: 3.38% compounded semiannually or 3.51% compounded quarterly. Round your answers to 2 decimal places.
The 3.38% semiannual investment gives an effective rate of ____ %.
The 3.51% quarterly investment gives an effective rate of ____ %.
Therefore, the _______ investment is a better investment.
Answers
The 3.51% compounded quarterly investment is the better investment in terms of higher returns.
We need to compare the effective rates of return for both options in order to determine which investment is superior.
A) For the 3.38% accumulated semiannually, we can work out the successful rate utilizing the equation:
The effective rate is as follows: Effective Rate = (1 + (Annual Interest Rate / Number of Compounding Periods)) Number of Compounding Periods - 1 Annual Interest Rate = 3.38 percent Number of Compounding Periods = 2 (since it is compounded semiannually) Effective Rate = (1 + (0.0338 / 2)) 2 - 1
The 3.38% compounded semiannual investment has an effective rate of approximately 3.59%, which is calculated as follows: Effective Rate = (1 + 0.0169)2 - 1 Effective Rate 0.0359385 or 3.59% (rounded to two decimal places).
B) We can use the same formula to determine the effective rate for the quarterly compound interest rate of 3.51 percent:
Since it is compounded quarterly, there are four compounding periods, and the annual interest rate is 3.51 percent. The effective rate is equal to (1 + (0.0351 / 4))4 - 1.
The compounded quarterly investment at 3.51% has an effective rate of approximately 3.53%, which is calculated as follows: Effective Rate = (1 + 0.008775)4 - 1 Effective Rate 0.0353157 or 3.53% (rounded to two decimal places).
When we look at the effective rates, we can see that the compounded quarterly investment with a rate of 3.51 percent has a slightly higher effective rate (3.53%) than the compounded semiannual investment with a rate of 3.38 percent (3.59%). Consequently, the higher-return investment at 3.51 percent compounded quarterly is superior.
To know more about Investment, visit
brainly.com/question/24703884
#SPJ11
what is this answer
6²+-14÷2-(-8)
Answers
I got 37, hope that helped:)
What is 670 divided by 555
Answers
Answer:
1.081081081
hope this helped
what is 28.5 inches in height?
Answers
Write f(x) = 2x2 – 44x + 185 in vertex form.
To write f(x) = 2x2 – 44x + 185, factor out
from the first two terms.
Next, form a perfect square trinomial keeping the value of the function equivalent:
f(x) = 2(x2 – 22x + 121) + 185 – 242
The function written in vertex form is f(x) =
(x –
)2 +
.
Answers
Answer:
Step-by-step explanation:
\(f(x)=2x^2-44x+185\\\\=2(x^2-2*11*x)+185\\\\=2(x^2-2*11*x+11^2)+185-2*121\\\\\boxed{f(x)=2(x-11)^2-57}\\\\vertex\ is\ (11,-57)\)
Answer:
f(x) = 2(x - 11)² - 57
Step-by-step explanation:
Given
f(x) = 2x² - 44x + 185 ( factor out 2 from the first two terms )
f(x) = 2(x² - 22x) + 185
To complete the square
add/ subtract ( half the coefficient of the x- term )² to x² - 22x
f(x) = 2(x² + 2(- 11)x + 121 - 121 ) + 185
= 2(x - 11)² + 2(- 121) + 185
= 2(x - 11)² - 242 + 185
f(x) = 2(x - 11)² - 57 ← in vertex form
What is a dot plot ?
Answers
Answer:
A graphical display of data using dots.
Step-by-step explanation:
Use the distributive property to write each expression as an
equivalent algebraic expression.
a. 4(x + 5)
b. 3(2x - 4)
C. -2(x - 6)
Answers
Answer:
Use the distributive property to write each expression as an equivalent algebraic expression:-
a.) 4(x + 5) = 4x + (4 x 5 ).
= 4x + 20 .
b.) 3(2x - 4) = 3 x 2x = 6x - (3 x -4 )
= 6x - 12 .
C.) -2(x - 6) = -2x - ( -2 x -6 ) .
= -2x - 12 .
Hope this helps you !!#a
\(\\ \sf\longmapsto 4(x+5)\)
\(\\ \sf\longmapsto 4x+20\)
#b
\(\\ \sf\longmapsto 3(2x-4)\)
\(\\ \sf\longmapsto 6x-12\)
#c
\(\\ \sf\longmapsto -2(x-6)\)
\(\\ \sf\longmapsto -2x+12\)
whay is y= -3/4-4 thanks no links pls
Answers
Answer
y=-19/4
Step by-step explanation:
Subtract the numbers
y=-3/4 -4
y=-19/4
Which graph is defined by f(x) = |x2 − x − 2|? A. graph A B. graph B C. graph C D. graph D
Answers
Answer:
Step-by-step explanation:
When the question comes with answer choices, please share them. In this case it sounds like there were four graphs from which to choose.
f(x) = |x^2 − x − 2| is always zero or greater, due to the absolute value function.
x^2 − x − 2 = 0 factors to (x - 2)(x + 1) = 0, so the zeros of f(x) are {-1, 2}.
Plot x-intercepts {-1, 2}. The axis of symmetry is the vertical line x = 1/2, which is precisely halfway between the x-intercepts. If we now choose the test number x = 0, we find the value of f(0) to be |-2}, which tells us that the y-intercept is (0, |-2|), or (0, 2), so we have a parabolic curve opening down between x = -1 and x = 2 and touching (but not crossing) the x-axis at those x-values. To the left of x = -1 the curve increases steadily from y = 0 in Quadrant II; to the right of x = 2, the curve increases steadily from y = 0 in Quadrant I.
The graph for the given function is plotted below.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
The given function is f(x)=|x²-x-2|.
Graph the absolute value using the vertex and a few selected points.
Put x= -2, -1, 0 and 1 in the given function, we get
When x=0
y= |0-0-2|
y=0
When x=1
y=|1-1-2|
y=2
When x=-2
y=|4+2-2|
y=2
Now, plot points (-2, 4), (-1, 0), (0, 2) and (1, 2) on graph
Therefore, the graph for the given function is plotted below.
To learn more about the function visit:
https://brainly.com/question/28303908.
#SPJ2
A mobile set is sold for Rs 6,630 after a discount of 15%. Find the marked price of the mobile set.
Answers
Answer:
MP = RS 7,800
Step-by-step explanation:
Let
Marked price = MP
MP x (100 – 15) / 100 = Rs 6,630
MP × (85)/100 = Rs 6,630
MP = Rs 6,630 ÷ 85/100
MP = 6,630 × 100/85
MP = 663,000/85
MP = 7,800
MP = RS 7,800
Predict the number of times you roll an odd number or a two when you roll a six-sided number cube 300 times.
Answers
Answer:
The probability of rolling an odd number or a two on a six-sided die is 1/2 + 1/6 = 2/3. This means that if you roll a six-sided die 300 times, you can expect to roll an odd number or a two approximately 200 times
Step-by-step explanation:
Answer: 400 TIMES
Step-by-step explanation:
1/6 +1/2
4/6
2/3
why is it important to be able to calculate percentages?
Answers
Answer:
We use percentages to make calculations easier. It is much simpler to work with parts of 100 than thirds, twelfths and so on, especially because quite a lot of fractions do not have an exact (non-recurring) decimal equivalent.
Step-by-step explanation:
6,402.66 divided by 459438.26
Answers
Answer: 0.0139358
Step-by-step explanation: 999,999,999,999,999,999,999,999,999,999,999% sure!
564000 in scientific notation
Answers
Answer:
5.64 × 10^5
Step-by-step explanation:
4 consecutive integers have a sum of 22. What is the least of the 4 integers?
Answers
Answer:
The least of the four integers is 4.
Step-by-step explanation:
Let x be the first integer.
x + (x + 1) + (x +2) + (x + 3) = 22
4x + 6 = 22
4x = 16
x = 4
4 + 5 + 6 + 7 = 22