The estimate of the number of students studying abroad in 2003 is 169 and the estimate of the number of students studying abroad in 2018 is 433
a. Estimate the number of students studying abroad in 2003.The function is given as:
y = 123(1.065)^x
Where x represents years from 1998 to 2013
2003 is 5 years from 1998.
This means that
x = 5
Substitute the known values in the above equation
y = 123(1.065)^5
Evaluate the exponent
y = 123 * 1.37008666342
Evaluate the product
y = 168.520659601
Approximate
y = 169
Hence, the estimate of the number of students studying abroad in 2003 is 169
b. Assuming this equation continues to be valid in the future, use this equation to predict the number of students studying abroad in 2018.2018 is 20 years from 1998.
This means that
x = 20
Substitute the known values in the above equation
y = 123(1.065)^20
Evaluate the exponent
y = 123 * 3.52364506352
Evaluate the product
y = 433.408342813
Approximate
y = 433
Hence, the estimate of the number of students studying abroad in 2018 is 433
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|6 - (-1.3) + 2| + |4 - (2.8 - 3)|
Answer:
13.5
Step-by-step explanation:
A motorboat travels 132 km in 4 hours going upstream. It travels 196 km going downstream in the same amount of time. What is the rate of the boat in still water and what is the rate of the current?
Answer:
Step-by-step explanation:
x = speed of the boat
y = speed of the current
x + y = 162/3 = 54 mph
x - y = 132/3 = 44 mph
Add the two equations to get
2x = 98
x = 49 mph
y = 54 - x = 54 - 49 = 5 mph or something
Which person is vulnerable to identity theft
The person which is more vulnerable to identity theft include:
The elderlyCollege studentsChildrenWhat is Identity theft?This involves using someone's personal information to commit fraud and other forms of crime.
The set of people mentioned above are usually naive and innocent thereby making them more vulnerable to identity theft.
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4
Select the correct answer from each drop-down menu.
AABC is similar to ADEF. The ratio of the perimeter of AABC to the perimeter of ADEF is 1:10. T
The length of the longest side of AABC is
2
4
16
30
units. The ratio of the area of AABC to the are.
The ratio of the area of ∆ABC to the area of ∆DEF is; 1:100.
What is the ratio of the area of ∆ABC to the area of ∆DEF?Since, a major criterion for similarity and congruence of triangles is that the ratio of corresponding sides are equal.
On this note, since the task content suggest that the ratio of the perimeters is; 1:10, it follows from conventional mathematics that the ratio of their areas is given as; 1²:10²; 1:100.
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Please help me with this i need big help in this
The value of the angle TSU is.97°. Therefore, none of the given options are correct.
How to calculate the angle?From the information given, the value of UZ will be:
= YZ - YU
= 63 - 26
= 37°
UZ = TZ = 37°
Therefore, the value of TSU will be:
= 23° + (37° × 2)
° 23° + 74°
= 97°
In conclusion, the correct option is E.
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A power company calculates a person's monthly bill from the number of kilowatt-hours (kWh), x, used.
The function b(x) = {
0.15x
0.10 (x – 400) + 60,
2 < 400
2 > 400
determines
the bill.
The function illustrates that the bill for someone who uses 600 kilowatt will be $80.
How to illustrate the function?It should be noted that a function simply means an expression that defines the relationship between a variable and another variable. In this case, one can infer that functions are essential in the formulation of relationship between the variables that are given.
Based on the information given, it should be noted that it was stated that the power company calculates a person's monthly bill from the number of kilowatt-hours.
The bill for someone who uses 600 kilowatt will be:
= 0.1(x - 400) + 60
= 0.1(600 - 400) + 60
= 0.1(200) + 60
= 20 + 60
= 80
In conclusion, the bill will be $80.
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Question Find the area of a trapezoid whose height is 9 ft and w hose bases are 13.4 ft and 8.6 ft.
Answer: Use this calculator to easily calculate the area of a trapezoid given its base s and height. The formula for the area of a trapezoid is (base 1 + base 2) / 2 x height,
Step-by-step explanation:
The cubic foot is a unit of volume used in the imperial and U.S. customary measurement systems.
The cubic foot can be used to describe a volume of a given material, or the capacity of a container to hold such a material.
A state uses a combination of three letters (A-Z) followed by three digits (0-9) for their license plates. How many different license plates are possible? (Exact steps shown for credit)
A state uses a combination of three letters (A-Z) followed by three digits (0-9) for their license plates. So, there are 17576000 license plates can be made.
Given that, license plates consists of 3 letters followed by 3 digits.
Let the numbers on license plates be N
Let the letters on license plates be L
So, the license plate consisting of 3 letters and 3 digits will be LLLNNN.
Letters can be anything from A to Z.
There are 26 letter combinations for the first letter. That is applicable for the following 2 letters.
So, the combination for letters = 26×26×26 = 17576
Numbers can be anything from 0 to 9.
There are 10 combinations for each place.
So, the combination for numbers = 10×10×10 = 1000
Now, the combination for letters and numbers= 17576×1000
= 17576000
Therefore, 17576000 license plates can be made.
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Which of the following functions best describes this graph?
Answer:
C
Step-by-step explanation:
We can use process of elimination
D is incorrect because the roots are 3 and -4 and there are no negative roots visible
B is wrong because the roots -3 and -6 are both negative
You can factor A into (x-2)(x-3) and the roots are 2 and 3 but the roots on the graph look closer to 3 and 6
For C it can be factored as (x-6)(x-3) so the roots are 3 and 6 which look accurate
If f(x) = x and g(x) = 2, what is (fog)(x)?
Step-by-step explanation:
=fog(x)
−2x=0
x(x−2)=0
x=0,2
( 13/7 ) ^2
[answer in fraction form]
Answer:
[tex]\frac{169}{49}[/tex]
Step-by-step explanation:
Square the top and bottom numbers in the fraction
13^2 = 169
7^2 = 49
169/49
A mail carrier can deliver mail to 36 houses in 30 minutes. Mark wants to determine how many houses the carrier can deliver mail to in 7.5 minutes at this rate. He thinks that to find the answer, he should do the following.
1. First divide 36 houses by 30 minutes to find a unit rate of 1.2 houses per minute.
2. Then multiply 1.2 houses per minute by 7.5 minutes to get 9 houses.
Mark's method is correct, because even though it is impossible to deliver mail to 1.2 houses in minute, it represents the unit rate of houses per minute .
Is Mark's method correct?The first step is to determine the unit rate of houses per minute. This can be done by dividing 36 houses by 30 minutes.
36/30 = 1.2 houses per minute
The second step is to multiply 1.2 by 7.5: 1.2 x 7.5 = 9 houses
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Write the Egyptian numeral as a Hindu-Arabic numeral
Answer:
2635
Step-by-step explanation:
the first two stand for 1000
so
2000
is the first part
the second numeral stands for 100
there are 6 of them
so
600
is the second part
the third numeral stands for 10 and there are 3 of them
thus
30
is the third part
there are 5 lines so the last part is 5
so your answer is 2635
Evaluate functions from their graph Problem g(3) =
See attached for the correct answer!
The notation g (3), left parenthesis, 3 refers to the output of the function when the input is x=. If the point (3, b) is on the graph, then g (3) =b.
We should look for the point on the graph whose x- coordinate is 3 is the point )3, 4).
The point on the graph whose x-coordinate is 3 is the point (3,4).
Therefore, g (3) = 4
The value of g(3) is g(3) = 4
How to evaluate the function?The function value is given as:
g(x)
The notation g(3) implies that:
We determine the value of g(x) when x = 3
From the graph, the function has a point at (3,4)
This means that:
When x = 3, g(x) = 4
i.e. g(3) = 4
Hence, the value of g(3) is g(3) = 4
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PLEASE PLEASE PLEASE answer this question!!! FROM KHAN ACADAMY PRE ALGEBRA
Answer:
B
Step-by-step explanation:
Hope this helps:)
Answer:
B & D
Step-by-step explanation:
A The variable "x" is canceled does not apply
B One solution
C does not apply
D One solution
Hope this helps
Select all of the following that are quadratic equations.
5x-1=3x+8
5 x- 3 = 0
x²-2x = 4x+1
2x²+12 x = 0
x³-6x² + 8 = 0
9x²+6x-3=0
The quadratic equations among all the options given are [tex]x^{2} -2x=4x+1[/tex],[tex]2x^{2} +12x=0[/tex] and [tex]9x^{2} +6x-3=0[/tex].
Given six equations as under:
5x-1=3x+85 x- 3 = 0x²-2x = 4x+12x²+12 x = 0x³-6x² + 8 = 09x²+6x-3=0We are required to find the quadratic equations among the above equations.
Quadratic equations are those equations in which the highest power of the variable present in the equation is 2.
It is in form of [tex]ax^{2} +bx+c=0[/tex].
In our options quadratic equations are [tex]x^{2} -2x=4x+1[/tex],[tex]2x^{2} +12x=0[/tex] and [tex]9x^{2} +6x-3=0[/tex].
5x-1=3x+8: It is not a quadratic equation as the highest power is 1.
5 x- 3 = 0:It is also a linear equation not quadratic equation.
x³-6x² + 8 = 0:It is a cubic equation not a quadratic equation.
Hence the quadratic equations among all the options given are [tex]x^{2} -2x=4x+1[/tex],[tex]2x^{2} +12x=0[/tex] and [tex]9x^{2} +6x-3=0[/tex].
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Explain how to determine if Carlos’s allowance is directly proportional to the number of chores he completes.
A 2-column table with 3 rows. Column 1 is labeled number of chores with entries 10, 13, 15. Column 2 is labeled Allowance with entries 75 dollars, 97 dollars and 50 cents, 112 dollars and 50 cents.
Using a proportional relationship, it is found that Carlos earns an allowance of $7.5 for each chore that he completes.
What is a proportional relationship?A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
y = kx
In which k is the constant of proportionality.
In this problem, the constant is:
k = 75/10 = 97.5/13 = 112.5/15 = 7.5.
Hence Carlos earns an allowance of $7.5 for each chore that he completes.
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The double number line shows that Toni can type 180 words in 2 minutes.
A double number line with 6 equally spaced tick marks. The line labeled Time, minutes, reads from left to right: 0, an unlabeled tick mark, 2, three unlabeled tick marks. The line labeled Words, reads from left to right: 0, an unlabeled tick mark, 180, three unlabeled tick marks.
A double number line with 6 equally spaced tick marks. The line labeled Time, minutes, reads from left to right: 0, an unlabeled tick mark, 2, three unlabeled tick marks. The line labeled Words, reads from left to right: 0, an unlabeled tick mark, 180, three unlabeled tick marks.
Based on the ratio shown in the double number line, how many words can Toni type in 3 minutes?
_words
The number of words that Toni can type in 3 minutes is 270 words per minute.
How to work with ratios?We are given 180 words in 2 minutes. This means;
Toni can type 180/2 = 90 words per minute (90wpm).
Using the above same ratio/rate, it means that in 3 minutes, Toni would be able to type:
90 * 3 = 270 words per minute.
Thus, we conclude that the number of words that Toni can type in 3 minutes is 270 words per minute.
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( WILL GIVE BRAINLIEST ) a dog trainer compared the mean numbers of lessons for two groups of dogs which statement is true about the data?
Answer:
Answer number 1
......................
50 points!!! answer this quickly with an explanation
Answer:
x = 24°
Step-by-step explanation:
If two parallel lines are being intersected by the same line, the opposite inside angles are congruent. This means that ∠EFH should be equal to ∠JHF. However, we cannot set these angles equal because we do not know the value of ∠JHG.
Line IG is intersected by line HJ. This means the value of ∠JHG is 24° (180° - 156° = 24°). Know that we know this value, we can set up an equation to find "x".
∠EFH = 2x
∠JHG = 24°
∠GHF = x
∠EFH = ∠JHF <----- Opposite interior angles are equal
∠EFH = ∠JHG + ∠GHF <----- Break ∠JHF into 2 angles
2x = 24 + x <----- Insert values
x = 24 <----- Subtract x from both sides
Amy made a circle graph of the U.S. population for 2000. This is the data that she used and the graph that she made.
The true statement is (b). No, because males and females should add up to 100% of the population.
How to determine the true statement?The complete question is added at the end of this solution.
From the complete question, we have the following percentages
Male = 26%Female = 27%When the above percentages are added, we have
Total = 26% + 27%
Evaluate the sum
Total = 53%
The above shows that the display of the circle graph is accurate.
This is so because the total percentage of the male and the female population must add up to 100%
Hence, the true statement is (b). No, because males and females should add up to 100% of the population.
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Complete question
Amy made a circle graph of the U.S. population for 2000. This is the data that she used and the graph that she made. U.S. Population (2000)
A circle graph titled U S Population (2000).
Males, 26 percent;
Females, 27 percent;
White, 39 percent;
Black, 6 percent;
Asian, 2 percent.
Males 138,053,563
Females 143,368,343
White 211,460,626
Black 34,658,190
Asian 10,242,998
Do you think this is an accurate display of the U.S. population? Why or why not?
a. Yes, because the percentages add up to 100%.
b. No, because males and females should add up to 100% of the population.
c. Yes, because the majority of the population is white.
d. No, because the percentage of males and females should be equal.
This table reflects the result of a survey conducted in a town to find out the number of cars of a particular color.
Which of the following ranges would be appropriate to use in order to represent the numerical data on the vertical axis of a Bar Graph?
A. 10 to 20
B. 20 to 100
C. 0 to 50
D. 0 to 30
the range that would be the most appropriate to represent the numerical data on the vertical axis is B. 20 to 100.
what range would be most appropriate?the table is not included but the range of 20 to 100 is most appropriate for the number of cars in town with a particular color.
this is because towns would normally have between hundreds and thousands of cars which means that cars of a particular color would be between 20 and 100 at least.
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The range that would be the most approx to represent the numerical data on the vertical axis is B. 20 to 100.
Bar graph :
Bar graphs are the pictorial representation of data (generally grouped), in the form of vertical or horizontal rectangular bars, where the length of bars is proportional to the measure of data
The range that would be the most approximately to represent the numerical data on the vertical axis is B. 20 to 100.
because
it is not possible to have zero number of cars that have a particular color,
in That way, we can eliminate options C and D .
in option A the range is too small which is not possible.
the table is not included but the range of 20 to 100 is most appropriate for the number of cars in town with a particular color.
this is because towns would normally have between hundreds and thousands of cars which means that cars of a particular color would be between 20 and 100 at least.
Consider the graph of f(x) given below.
A curve labeled f of x declines through the points (negative 4, 7), (negative 3, 6), (negative 2, 5), (0, 3), (2, 1), (3, 0), (4, negative 1), (5, negative 2), (6, negative 3) and (7, negative 4) on the x y coordinate plane.
The function g(x) is a transformation of f(x). If g(x) has a y-intercept of -2, which of the following functions could represent g(x)?
A.
g(x) = f(x + 2)
B.
g(x) = f(x - 5)
C.
g(x) = f(x) - 2
D.
g(x) = f(x) - 5
The functions could represent g(x) is B. [tex]g(x) = f(x - 5)[/tex]
How can the function be determined?Using the general equation [tex]g(x) =f(x)+ b[/tex]
The g(x) has intercept of y=-2,
Then the y-intercept of f(x) is at y=3
If we find the difference between both y-intercepts, we have
( -2 -3) = -5
Then b=-5
Hence, [tex]g(x) = f(x - 5)[/tex] is correct.
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Convert the given rectangular
coordinates into polar form.
(−1,−2) → ([?], -[])
Round both to the nearest tenth and use radians.
The given coordinates to polar forms are:
[tex]\sqrt{5}[/tex]1.107How to find the polar formIn order to calculate it to polar forms we would have
We have these equations
r² = x² + y²
tanθ = y/x
From here we would have
r² = (-1)² + (-2)
r² = 1 + 4
r = √5
We have tanθ = -2 / -1
= we have θ = tan⁻¹(2)
= 1.107
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What is the price of a two year bond with a 9% annual coupon and a yield to maturity of 8%? 101.78 105.25 102.53 97.51
The bond price 101.78
What is the price of a bond?
A bond price is the present value of its future cash flows discounted at the yield to maturity which is the appropriate discount rate.
Specifically, the bond price is the present value of annual coupons for 2 two years and the face value discounted at the 8% yield to maturity.
We can determine the bond price using the present value formula of a single cash flow for all cash flows.
PV=FV/(1+r)^N
FV=future cash flow(annual coupons for 2 years and face value)
annual coupon=face value*coupon rate
face value=100
coupon rate=9%
annual coupon=100*9%
annual coupon=9
r=discount rate=8%
N=year of cash flows, 1 for year 1 and 2 for year 2
bond price=9/(1+8%)^1+9/(1+8%)^2+100/(1+8%)^2
bond price= 101.78
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Which of the following characteristics describe the graph of an exponential function?
Answer:
A GENERAL NOTE: CHARACTERISTICS OF THE GRAPH OF THE PARENT FUNCTION
f
(
x
)
=
b
x
An exponential function with the form
f
(
x
)
=
b
x
,
b
>
0
,
b
≠
1
, has these characteristics:
one-to-one function
horizontal asymptote:
y
=
0
domain:
(
−
∞
,
∞
)
range:
(
0
,
∞
)
x-intercept: none
y-intercept:
(
0
,
1
)
increasing if
b
>
1
decreasing if
b
<
1
Step-by-step explanation:
hope it helps you
9. For Investment Plan A to C, solve for the future value at the end of the term based on the
information provided.
Investment Plan Principal
A
$7,500
B
$53,000
C
$19,000
Interest Rate
8% compounded quarterly
6% compounded monthly
5.75% compounded semi-annually
Term
3 years
4
years and 3 months
6 years and 6 months
The future value of Investment A is 9511.81
The future value of Investment B is 68,351.02
The future value of Investment C is29.067.07.
What are the future values?When an amount earns a compound interest, it means that both the amount invested and the interest rate already accrued increases in value at the next compounding date. For example, if interest is compounded quarterly, both the amount invested and the interest accrued increases every quarter.
The formula for calculating future value:
FV = P (1 + r)^nm
FV = Future value P = Present value R = interest rate m = number of compoundingN = number of yearsInvestment A = 7500 x [(1 + (0.08/4)]^(4 x 3) = 9511.81
Investment B = 53,000 x [(1 + (0.06/12)]^[(4 x 12) + 3) = 68,351.02
Investment C = 19,000 x [(1 + (0.0575/2)]^{6 x 2) + 6/2) = 29.067.07
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f(x) = √2x
g(x) = √8x
Find (f g)(x). Assume x ≥ 0.
OA. (f g)(x) = 4x
OB. (f g)(x) = 8x
O C. (f g)(x) = 4√√x
OD. (f.g)(x) = √/10x
Answer:
Step-by-step explanation:
hello :
f(x) = √(2x)
g(x) = √(8x)
(f g)(x) = f(x)×g(x) =√(2x)×√(8x) = √(16x²) =4/x/
x ≥ 0: /x/ = x (f g)(x) = 4x......(answer : A)
simplify these fractions
xy-xz/y-z
Answer:
[tex]\frac{xy-xz}{y-z} = x[/tex]
Step-by-step explanation:
Hello!
We can simplify the fraction by factoring and canceling out common factors.
Simplify[tex]\frac{xy-xz}{y-z}[/tex][tex]\frac{x(y - z)}{y-z}[/tex][tex]\frac{x(\not y\not-\not z)}{\not y \not- \not z}[/tex][tex]x[/tex]We are left with x as the final simplified form.
Determine the output voltage of the op-amp circuit shown below:
The output voltage of the op-amp circuit shown is -5v.
What is voltage?It should be noted that voltage is the electric potential difference between two points l.
In this case, the output voltage will be:
= -5 × i
where I = 1.
Voltage = -5 × 1
= -5v
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