Let the measure of arc \(BC\) be \(\alpha\).
\(\frac{70+\alpha}{2}=85 \\ \\ 70+\alpha=170 \\ \\ \alpha=\boxed{100^{\circ}}\)
The on an investment doesn’t consider the effect of inflation on purchasing power. If the inflation rate is positive, the real return will be the nominal return on an investment.
The nominal return on an investment doesn’t consider the effect of inflation on purchasing power. If the inflation rate is positive, the real return will be less than the nominal return on an investment.
What is inflation?
In simple words continuing to rise in general price is regarded as inflation. There is a different kind of inflation, for example; The increase in price due to an increase in the aggregate of goods and services compared to aggregate supply is called demand-pull inflation.
If the inflation rate is positive, the actual return will be less than the nominal return on investment.
Therefore, In order to complete the statement, The nominal return on an investment doesn’t consider the effect of inflation on purchasing power. If the inflation rate is positive, the real return will be less than the nominal return on an investment.
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Answer:
The REAL RETURN on an investment considers the effect of inflation on purchasing power. If the inflation rate is positive, the nominal return will be
GREATER THAN the real return on an investment.
Step-by-step explanation:
Solve 0.4(y+3)-0.8y.
Answer:
The answer is: 1.2 + -0.4y
Answer: -0.4y + 1.2
Step-by-step explanation:
0.4(y) = 0.4y
0.4(3) = 1.2
0.4y + 1.2 - 0.8y
0.4y - 0.8y = -0.4y
-0.4y + 1.2
The diameter of a circle is 2 feet. What is the circle's area?
Math Homework: Unit 3 Assignment
What is the equation in slope-intercept form of the line that passes through the point (3,4) and is parallel to the line represented by y=3x−2?
y=3x+7y
y=3x−5y
y=−3x+5y
y=−3x−7
The equation of the line in slope intercept form that passes through the point (3,4) and is parallel to the line represented by y=3x−2 is y = 3x - 5.
How to find equation of a line?The equation of a line can be represented in slope intercept form as follows:
y = mx + b
where
m = slopeb = y-interceptTherefore, the line that passes through the point (3,4) and is parallel to the line represented by y = 3x − 2.
Parallel line have the same slope. Therefore, the slope of the line is 3.
Let's find the y-intercept using (3, 4).
y = 3x + b
4 = 3(3) + b
4 - 9 = b
b = -5
Therefore, the equation is y = 3x - 5
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someone pls help will give brainliest to the first to answer
Answer:
Help with what, I may be able to help. :)
Graph the line with the equation y = 1/5 x - 5 , ILL MARK BRAINLIST
Answer:
The line will cross point (0,-5) and (25,0)
Step-by-step explanation:
Proved graph in the picture using desmos graphing software
Each week, Phyllis earns $20 per hour. Which graph expresses the relationship
between Phyllis' hours worked and her corresponding earnings? Drag the graph to
the box.
2+2=
a. 3
b. 5
c. 4
d. 7
Answer:
C
Step-by-step explanation:
2
+2
-----
4
A manager surveyed a random sample of people exiting a movie theater about their use of streaming movies. A 2-column table with 4 rows. Column 1 is labeled Age with entries 10 to 19, 19 to 25, 26 to 49, 50 and older. Column 2 is labeled relative frequency with entries 85 percent, 92 percent, 84 percent, 64 percent. Complete the statements based on the information. A is not an appropriate display of the data because these data
Answer:1.c 2.b
Step-by-step explanation:
Kareem se postuló para presidente del club de ajedrez y recibió 48 votos. Hay un total de 60 miembros en el club. ¿Qué porcentaje de los miembros del club votó por Kareem?
Kareem thus garnered 80% of the vote as the number of votes Kareem received by the total number of club members.
what is percentage ?A number can be expressed as a fraction of 100 using a percentage. "%" is used to represent it. 50%, for instance, is 50 out of 100, or 0.5 in decimal form. A typical way to describe relative frequency, probability, or amount is by percentages. Also, they are employed in computations concerning taxation, interest rates, discounts, and other statistical and financial considerations.
given
We must divide the number of votes Kareem received by the total number of club members, multiply by 100, and then get the proportion of club members that voted for Kareem:
(Kareem votes / total members) x 100 = %
% equals (48/60) times 100.
% Equals 0.8 times 100
% equals 80
Kareem thus garnered 80% of the vote as the number of votes Kareem received by the total number of club members.
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The complete question is:- Kareem ran for chess club president and received 48 votes. There are a total of 60 members in the club. What percentage of the club members voted for Kareem?
Here is the final problem jaded
Answer:
x = 12.99
Step-by-step explanation:
Tan(33) = \(\frac{x}{20}\)
Tan(33) * 20 = x
12.99 = x
Hope this helps!
Look at this set of 7 numbers. 3275951 by how much would the median decrease if the number 3 were added to the set? Hurry pleaseeeeee
How to write X 5/8 radical form
The radical form of the given expression would be; \(x^{ \frac{5}{8} } = \sqrt[8]{x^{5}}\)
Factor the radicand: If the radicand isn't already in the form of a perfect square, we can factor it into its prime factors and pull out any perfect squares from the radicand.
We are given that
\(x^{ \frac{m}{n} } = \sqrt[n]{x^{m}} \\ x^{ \frac{5}{8} } = \sqrt[8]{x^{5}} \\\)
When the radical has an exponent (such as cube root), divide the exponent by the index of the radical.
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Which one hurry
A.50
B.80
C.90
D.100
Answer:
I think its
im not sure
Step-by-step explanation:
Can you guys help me how to answer thus
Answer:
a, 32
b, -58
Step-by-step explanation:
a) g(0) = 6 - 0^2 = 6
--> f(g(0)) = 4 . 6 + 8 = 32
b) f(0) = 4 . 0 + 8 = 8
--> g(f(0)) = 6 - 8^2 = 6 - 64 = -58
What’s the answer for this question
Answer: uf
Step-by-step explanation:
Ethan had planned to visit his local post office on Saturday to exchange $400
or euros. The exchange rate for that day was $1 = 1.25 E
However, due to unforseen circumstances, Ethan arrived at the post office after
it closed on that day. He therefore had to wait until the following Monday to
exchange his $400 for euros. The exchange rate on Monday was $1 = 1.20 E
a) How many fewer euros did he receive due to this delay? |20
b) What percentage loss was caused by this delay?
The amount of fewer euros he would receive as a result of the delay is 20 E.
The percentage loss that was caused by the delay is -4%.
What is the fewer euros received and the percentage loss?
Exchange rate is the rate at which one unit of a currency can buy another currency. In this question, the value of Euros appreciated by Monday. This is because $1 buys less Euros on Mondays. On the hand, dollars depreciates in value.
Amount of fewer Euros received = value of euros if it were exchanged on Friday - value of euros if it was exchanged on Monday
Value of euros if it were exchanged on Friday = 1.25 x 400 = 500 E
Value of euros if it was exchanged on Monday = 1.20 x 400 = 480 E
Difference = 500 E - 480 E = 20 E
Percentage loss = (Euros received on Monday / Euros that would have been received on Friday) - 1
Percentage loss = (480 / 500) - 1 = -0.04 = -4%
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Graciela begins the month with $300 and is spending $20 per
week. Her brother Sergio begins the month with $150 and is saving $10 per week. Sergio wants to know when they will have the same amount of money.
W
Let represent the number of weeks since the beginning of the
month. Which equation represents this situation?
Answer:
300-20w=?
150+10w=?
Step-by-step explanation:
Answer:
Step-by-step explanation:
320
Determine whether the relation is a function.
A) Yes; for each element of the range, there is one element of the domain.
B) Yes; for each element of the domain, there is only one element of the range.
C) No; for each element of the range, there is one element of the domain.
D) No; for each element of the domain, there is only one element of the range.
Answer:
Im not really sure but take c & d out cuz they are wrong so it would just b and a but Id say it is A:)
In how many ways can a president, vice president, and secretary be chosen from a class of 20 girls and 30 boys if the president must be a girl and the vice president a boy?
Given:
Number of girls = 20
Number of boys = 30
The president must be a girl and the vice president a boy
To find:
Number of ways to choose a president, vice president, and secretary.
Solution:
The president must be a girl and the vice president a boy. So, out of three students 1 is girl and 1 is boy. Third student can be a girl or a boy.
Total number of ways = Selecting 2 boys and 1 girl + Selecting 1 boy and 2 girls
\(=^{30}C_2\times ^{20}C_1+^{30}C_1\times ^{20}C_2\)
\(=\dfrac{30!}{2!(30-2)!}\times \dfrac{20!}{1!(20-1)!}+\dfrac{30!}{1!(30-1)!}\times \dfrac{20!}{2!(20-2)!}\)
\(=\dfrac{30\times 29\times 28!}{2\times 1\times 28!}\times \dfrac{20\times 19!}{19!}+\dfrac{30\times 29!}{29!}\times \dfrac{20\times 19\times 18!}{2\times 1\times 18!}\)
\(=\dfrac{30\times 29}{2}\times 20+20\times \dfrac{20\times 19}{2}\)
\(=8700+3800\)
\(=12500\)
Therefore, the required number of ways is 12500.
Find the surface area of the rectangular prism.
The surface area of the rectangular prism is 100 square miles.
We have,
To find the surface area of a rectangular prism, we need to add the areas of all its faces.
A rectangular prism has six faces, each of which is a rectangle.
The formula for the surface area of a rectangular prism is:
Surface area = 2lw + 2lh + 2wh
where l, w, and h are the length, width, and height of the rectangular prism, respectively.
Given the values of length, breadth, and height, we can substitute them into the formula:
Surface area = 2(2 mi × 4 mi) + 2(2 mi × 7 mi) + 2(4 mi × 7 mi)
Surface area = 16 mi² + 28 mi² + 56 mi²
Surface area = 100 mi²
Therefore,
The surface area of the rectangular prism is 100 square miles.
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Is it b Brainly???Math question
Answer:
C is correct
Step-by-step explanation:
Find the 19th term in the geometric sequence, the first term being a=4 and the common ratio being r=2
The 19th term of a geometric sequence is 1048576.
What is a geometric sequence?A geometric sequence is a sequence of numbers in which the ratio between consecutive terms is constant.
We have,
a = 4 and r = 2
The nth term of a geometric sequence.
= a\(r^{n-1}\)
Now,
The 19th term of a geometric sequence.
= a\(r^{n-1}\)
Substituting a and r values.
= 4 x \(2^{19 - 1}\)
= 4 x \(2^{18}\)
= 4 x 262144
= 1048576
Thus,
The 19th term of a geometric sequence is 1048576.
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Write a two-column proof for the following information. Upload your proof below.
Given: M is the midpoint of CD; CM = 5x – 2; MD = 3x + 2
Prove: x = 2
The required two column proof is explained below.
What is a midpoint?A midpoint is a point which divides a line segment into two equal parts. Thus it can be referred to as the middle point of the line segment.
The two column proof for the information is given as:
M is the midpoint of CD (Given)
CD = CM + MD (addition property of a line segment)
CM = MD (definition of a midpoint)
So that;
5x – 2 = 3x + 2 (Definition of midpoint)#
Then,
5x - 3x = 2 + 2 (collecting like terms)
2x = 4
x = 2
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Which statement best describes a strategy for estimating the perimeter of the figure below if the grid squares have
side lengths 1 cm?
Add the lengths of the horizontal and vertical segments, and then subtract 5 because the diagonal side is 4 units
wide and 2 units tall.
O Add the lengths of the horizontal and vertical segments, and then subtract 3 because the diagonal side is 4 units
wide but only 2 units tall.
O Add the lengths of the horizontal and vertical segments, and then add 3 because the diagonal side is 4 units wide
but only 2 units tall.
O Add the lengths of the horizontal and vertical segments, and then add 5 because the diagonal side is 4 units wide
and 2 units tall.
The best statement that describes the strategy for estimating the perimeter of the figure (please see the attached diagram) is the option;
Ad the lengths of the horizontal and vertical segments, and then add 5 because the diagonal side is 4 units wide and 2 units tall
What is an estimate of an amount?An estimate is an approximation of a true value, which is a value that is close to the actual value of the measured quantity.
Please find attached a diagram of the possible figure created with MS Word
The length of the side of the sides of the possible figure in the figure, obtained from a similar question on the internet are;
Base length = 5 units
Height = 4 units
The figure has a diagonal side which is 4 units wide and 2 units tall.
The length of the slant side, found using Pythagorean theorem can be obtained as follows; Length = √(4² + 2²) = 2·√5 ≈ 5
The correct option is therefore to add the lengths of the horizontal and vertical segments, and then add 5 because the diagonal side is 4 units wide and 2 units tall
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Prob-1A random sample of 21 glass sheets is obtained and their thicknesses are measured. The sample mean is x= 3.12 mm and sample standard deviation is S = 0.14 mm. Construct a 95% two-sided confidence interval for the mean glass thickness.
For the typical glass thickness of 3.12 mm, the 95% two-sided confidence interval will be (3.067,3.173).
What is confidence interval?An area created using fixed-size samples of data from a population (sample space) that follows a particular probability distribution is known as a confidence interval. A selected population statistic is built into the interval with a specified probability. An estimate's level of uncertainty is described by a confidence interval, which is a range of numbers.
Here,
mean x=3.12 mm
Standard deviation s=0.14 mm
number of sample n=21
two-sided confidence interval,
=x±tₐ÷₂(s/√n)
a=1-0.95
a=0.05
t₀.₀₅,₂₀=1.725
=3.12±1.725*(0.14/√21)
=3.12±1.725*(0.14/4.58)
=3.12±1.725*0.0306
=3.12±0.053
=(3.067,3.173)
The 95% two-sided confidence interval for the mean glass thickness of 3.12 mm will be (3.067,3.173).
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PLEASE HELP
Refer to the number line. Find the coordinate of point W such that the ratio of AW to WF is 1:3
The coordinate of point W should be -4 or point C such that the ratio of AW to WF is 1:3
How to solveGiven data
ratio 1:3
the ratio implies every unit WF is equal to 3 x AW.
hence every unit of AW multiplied by 3 gives WF
using equivalent of fractions in the comparison as follows
1 : 3 = 2 : 6 = 3 : 9
comparing 3 : 9 gives
For point A
Point A = - 7
point A + 3 = -7 + 3 = - 4 = point C
For point F
point F = 5
point F - 9 = 5 - 9 = - 4 = point C
\(\frac{AW}{WF} = \frac{|+3|}{|-9|} = \frac{AC}{FC}\)
Hence the coordinate of point W should be -4 or point C such that the ratio of AW to WF is equal to 1:3
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4. Find the monthly payment necessary to amortize the given loans. 140,000 at
2.375% for 15 years from Discover Home Loans. (You can use Rlab3 for this one i
you feel comfortable enough on your own).
The answer of the given question is the monthly payment necessary to amortize the loan is $923.98.
What is Principal?Principal refers to the original amount of money that is borrowed or invested, not including any interest or fees that may accrue over time. In the context of a loan, the principal is the amount that the borrower receives and is responsible for repaying to the lender over a specified period of time, usually with interest.
To calculate the monthly payment necessary to amortize the loan, we can use the following formula:
M = P * (r/12) * (1 + (r/12))ⁿ / ((1 + (r/12))ⁿ - 1)
where:
M = monthly payment
P = principal amount borrowed
r = annual interest rate
n = total number of monthly payments
Plugging in the values for the given loan, we get:
P = 140,000
r = 0.02375 (2.375% expressed as a decimal)
n = 15 years * 12 months/year = 180 months
M = 140,000 * (0.02375/12) * (1 + (0.02375/12))¹⁸⁰ / ((1 + (0.02375/12))¹⁸⁰ - 1)
M = 923.98
Therefore, the monthly payment necessary to amortize the loan is $923.98.
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The monthly payment necessary to amortize the loan is $928.52.
What is probability?
Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen.
To calculate the monthly payment necessary to amortize a loan, we can use the formula:
P = (A * r) / (1 - (1 + r)^(-n))
Where:
P = Monthly payment
A = Loan amount
r = Monthly interest rate (annual interest rate / 12)
n = Total number of payments (number of years * 12)
Using the formula and plugging in the values from the problem:
A = 140,000
r = 0.02375/12 (2.375% annual interest rate divided by 12 months)
n = 15*12 = 180
P = (140,000 * (0.02375/12)) / (1 - (1 + (0.02375/12))^(-180))
P = $928.52 (rounded to the nearest cent)
Therefore, the monthly payment necessary to amortize the loan is $928.52.
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What is the height of a
triangle with area 893 square
inches and base 38 inches?
Answer:
47
Step-by-step explanation:
Start by drawing the figure and labeling it with the given information. We are looking for the height of a triangle. The formula for the area of a triangle is A=12bh, where b is the length of the base and h is the height of the triangle. Substituting in the given information and solving for h, we find
A8938931947=12bh=12(38)(h)=h=h
The height is 47 inches.