The two-step exchange process is an illustration of composite functions
The function that converts dollars to Euro is [tex]\mathbf{g(d) = 0.897d - 3.3 }[/tex]You would receive 400.35 Euros, when you exchange 450 dollarsYou would receive 70.6 dollars, when you exchange 60 EurosConverting from dollars to British pounds, we have:
[tex]\mathbf{f(d) = 0.69d - 1}[/tex]
Converting from British pounds to Euro, we have:
[tex]\mathbf{g(p) = 1.3p - 2}[/tex]
(a) Function that converts dollars to Euro
To do this, we simply calculate gf(d)
So, we have:
[tex]\mathbf{g(f(d)) = 1.3f(d) - 2}[/tex]
Substitute [tex]\mathbf{f(d) = 0.69d - 1}[/tex]
[tex]\mathbf{g(f(d)) = 1.3 \times (0.69d - 1) - 2}[/tex]
Expand
[tex]\mathbf{g(f(d)) = 0.897d - 1.3 - 2}[/tex]
[tex]\mathbf{g(f(d)) = 0.897d - 3.3 }[/tex]
Rewrite as:
[tex]\mathbf{g(d) = 0.897d - 3.3 }[/tex]
Hence, the function that converts dollars to Euro is [tex]\mathbf{g(d) = 0.897d - 3.3 }[/tex]
(b) Euro equivalent of $450
In (a), we have [tex]\mathbf{g(d) = 0.897d - 3.3 }[/tex]
Substitute 450 for d
[tex]\mathbf{g(450) = 0.897 \times 450 - 3.3 }[/tex]
[tex]\mathbf{g(450) = 403.65 - 3.3 }[/tex]
[tex]\mathbf{g(450) = 400.35}[/tex]
Hence, you would receive 400.35 Euros, when you exchange 450 dollars
(c) Dollar equivalent of 60 Euros
In (a), we have [tex]\mathbf{g(d) = 0.897d - 3.3 }[/tex]
Substitute 60 for g(d)
[tex]\mathbf{60 = 0.897d - 3.3 }[/tex]
Add 3.3 to both sides
[tex]\mathbf{0.897d = 63.3 }[/tex]
Divide both sides by 0.897
[tex]\mathbf{d = 70.6}[/tex]
Hence, you would receive 70.6 dollars, when you exchange 60 Euros
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“You decide to go Black Friday shopping, and notice a new video game has a discounted price of $30.25. This is a discount of 45% off the original price of the video game. Write an algebraic equation to determine the original price of the video game and solve it.” what is the answer?
Answer:
30.25 * .45% + 30.25
Step-by-step explanation:
30.25*.45 = 13.61
30.25+13.61 = 43.86
10. Triangle JKL is shown. Based on the information in the diagram, what is the measure of ZJKL? (G6D)
Answer:
Angle K = 70degrees
Angle L = 68degrees
Step-by-step explanation:
Angle in a triangle add up to 180degrees
Figure out triangle the small triangle to the left side of the paper.
42+68+x=180
110+x=180
X=70
Angle K = 70degrees
Knowing that figure for angle L
70+42+x=180
112+x=180
X=68
Angle L = 68degrees
if u help me your dreams will come true ya know
Answer:
Area of larger circle = [tex]\pi *r^2=3.14(11^2)=379.94[/tex]
Area of smaller circle = [tex]\pi *r^2=3.14(3^2)=28.26[/tex]
Probability that it lands in the shaded area (smaller circle):
28.26 ÷ 379.94 = 0.07438... = 0.07 (nearest hundredth)
Can i please have help with qquestion brainliest for correct and best explained answer
Answer:
Y-intercept is at 1 and slope of the graph is 2
Step-by-step explanation:
When plotting this equation use the formula y=mx+b. The variable B is the y intercept its where you start your graph. The variable M is the slope and for that you use rise/run.
To graph 2 you would start at 1 because it's the int. And u would go up 2 and right 1 and just follow that pattern
pls help will mark as brainlist
A has 12 sides B is 5 sides
Step-by-step explanation:
Answer:
A. 12 B. 5
Step-by-step explanation:
First we will do B.
Interior is 108 degrees Lets make an equation, 108={(n-2)*180}/n
Let's simplify
Now we have 108n=180n-360
180n-108n=360
Now we have 72n=360
n=5.
Now time for the first one.
150={(n-2)*180}/n
150=180n-360
180n-150n=360
30n=360
n=12
solve for the wavelength frequency and energy then identify the type of electromagnetic wave to complete the table
Answer:
See attachment
Step-by-step explanation:
λν = c [Wavelength, λ (lambda), times frequency, ν (nu), equals the speed of light.]
c = 3.0 x 108 m/s.
E = hν
h = Plank's constant = 6.626x10-34 J-s
I put the data in a spreadsheet and calculated the values as per the equations above. The table showing the types of energy was not attached, so I left that column blank. I assume it is looking for labels such as UV, Visible, IR, Radio, etc.
The difference of one half a number x and 3 is 14
Answer:
x = 36
Step-by-step explanation:
You can write this equation to represent this problem:
[tex]\frac{1}{2}x-3=14[/tex]
Then, just solve for x:
[tex]\frac{1}{2}x=14+3\\\frac{1}{2}x=17\\x=36[/tex]
PLEASE HELP THIS IS DUE IN CLASS TODAY
Hey I dont know that answer but if you download Gaumath and take a picture of the problem the tutors on there will help you for free
Complete the equation line through (1,4) and (2,2) use exact numbers
find slope and y-intercept
5x+3y=-6
Answer:
[tex]m=-\frac53; q=-2[/tex]
Step-by-step explanation:
Let's bring the line in the classical [tex]y=mx+q[/tex] form
[tex]3y= -5x-6\\y=-\frac53 x -2[/tex]
At this point we have the two values [tex]-\frac53[/tex] for the slope and [tex]2[/tex] for the intercept
Give all solutions in degrees.
2 sin 0 tan 0 - 13 tan 0 = 0
Answer:
The left side 0 is equal to the right side which means that the given statement is always true.
Step-by-step explanation:
7. Write an inequality that matches the graph shown.
Answer:
To make an inequality its in the part that is shaded so
Step-by-step explanation:
(-2,-2) (-4,1) ETC
PLS HELPP!! The table shows the progress of Carson and Jayden as they each read books. Carson Jayden Pages Minutes Pages Minutes 8 6 6 97 16 11.5 12 18 20 20 30 What TWO statements are TRUE?
Answer:
Step-by-step explanation:
If you had -$10 last week and -$8 this week, how do those two numbers compare? Explain what the inequality means in relation to the positions of these numbers on the number line. For which week did you have the greater debt?
PLEASE HELP!!
I NEED FOR DBA !!
WILL GIVE BRAINLIEST AND RATING
AND WRONG ANSWERS OR LINKS WILL BE REPORTED
We compare the two numbers by finding their difference. If we subtract -8 from -10, we get 2, because 10-8 = 2. We put this positive result next to the negative number on the number line above it (-10) to see how it compares to -8.
The greater debt is represented by the smaller number on the number line, so if you had -$2 last week and -$8 this week, you are in a better position financially.
Answer:
Tje answe kdn 8
Step-by-step explanation:
David is a salesman for a local Ford dealership. He is paid a percent of the profit the dealership makes on each car. If the profit is under $800, the commission is 25%. If the profit is at least $800 and less than $1,000, the commission rate is 27.5% of the profit. If the profit is $1,000 or more, the rate is 30% of the profit. Find the difference between the commission paid if David sells a car for a $1,000 profit and the commission paid if he sells a car for a $799 profit?
Answer:
At the city museum, child admission is $5.90 and adult admission is $9.20. on sunday, 144 tickets were sold for a total sales of $1136.70 . how many adult tickets were sold that day?
Step-by-step explanation:
The required difference between the commission paid is $100.25 when David sells a car for a $1,000 profit and for a $799 profit.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
We have to determine the difference between the commission paid if David sells a car for a $1,000 profit and the commission paid if he sells a car for a $799 profit
The profit = $1,000
The profit is $1,000 or more, the rate is 30% of the profit.
So, the commission paid :
⇒ 30% of $1,000 = $300
The profit = $799
The profit is under $800, the commission is 25%.
So, the commission paid :
⇒ 25% of $799= $199.75
The required difference between the commission paid :
⇒ $300 - $199.75 = $100.25
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Evaluate.
−[−1 2/5÷0.7(1.8)]−2/3
What is the value of the expression?
Enter your answer as a simplified mixed number in the box.
Answer: the answer is 2 14/15
Step-by-step explanation:
The solution of the expressions will be 0.44.
What is Number system?
A system of writing to express the number is called number system.
Given that;
The expressions are,
⇒ −[−1 2/5 ÷ 0.7 (1.8) ] − 2/3
Now,
Solve the expression as;
⇒ −[−1 2/5 ÷ 0.7 (1.8) ] − 2/3
Using the BODMAS rule to solve the expressions as;
⇒ −[−1 2/5 ÷ 0.7 (1.8) ] − 2/3
⇒ −[−1 2/5 ÷ 1.26 ] − 2/3
⇒ - [ - 7 / 5 ÷ 1.26 ] − 2/3
⇒ - [ - 7 / 5 x 1 / 1.26 ] - 2 / 3
⇒ - [ - 7 / 6.3 ] - 2/3
⇒ 1.1 - 2/3
⇒ 1.1 - 0.66
⇒ 0.44
Therefore,
The solution of the expressions will be 0.44.
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Guided Practice
In each of the equations, the vertex rises or drops along the y-axis. The value of y changes, but the value of x does not change. The x-value remains zero.
Look at the graph of y = 2x^2 + 1 and find the y-value of the vertex.
Which point is the vertex of y = 2x^2 + 1?
A.
(0, 0)
B.
(0, 1)
C.
(1, 0)
D.
(1, 1)
Check Answer
Write the equation of the line in slope-intercept form.
The equation of the line in slope-intercept form is
If you reported to work at 18.00 on Wednesday and you get off at 02.50 on a Thursday, which day of pay period week are you working?
Answer:
Only Wednesday and Thursday
Step-by-step explanation:
Ilana ran 2 laps around the field in 8 minutes. What was her average speed, in laps per minute?
O 10 of a lap per minute
1
O of a lap per minute
O 4 laps per minute
10 laps per minute
How many laps?
Answer: She ran 0.25 laps a minute
Step-by-step explanation:
Every minute she runs 0.25 a minute which means that every 4 minutes she runs 1 lap which means if she run for 8 minutes she gets 2 laps
Answer:
?
Step-by-step explanation:
what does the O mean
Brenna found 10% of 60. Her work is shown below.
10% of 60 = (60 = 2) = 30
O No. Brenna should have divided by 4 to find 10%.
No. She should have divided by 10 to find 10%.
O No. She should have multiplied by 10 to find 10%.
O Yes. Brenna did not make an error.
Answer: She should have divided by 10 to find 10% of 60 because percent in latin means per centum which means for 100 or per each 100 and dividing by 10 means that the result times 10 equals the original number, so you would need to divide by 10.
Step-by-step explanation:
A cyclist travels 122.5 km in 2 hours. Calculate his speed. *
61.25 km/hr
.016 km/hr
65 km/hr
Answer:
61.25
Step-by-step explanation:
speed = distance / time
speed = 122.5 km / 2 hour
= 61.25
simplify by combining like terms -(m+n)+2 (m-3n)
-(m+n)+2(m-3n)
-m+n+2m-6n
-m+2m+n-6n
m-5n
Answer:
m -7n
Step-by-step explanation:
-(m+n)+2 (m-3n), distribute in the first parenthesis the -1 and in the second parentheses the 2
-m -n + 2m -6n , group like terms
-m + 2m -n -6n , combine like terms
m -7n
what slope is parallel to m = 3/4
Answer:
3/4
Step-by-step explanation:
For lines to be parallel, only their y-intercepts have to be different.
Answer:
3/4
Step-by-step explanation:
Write inequalities if the amount of of quarts of paint needs to be between 1 and 2 quarts
Answer:
1 ≤ q ≤ 2
Step-by-step explanation:
If q represents the number of quarts of paint needed, the requirement that it be between 1 and 2 can be written ...
1 ≤ q and q ≤ 2
These inequalities can be combined into one compound inequality:
1 ≤ q ≤ 2
__
Additional comment
We have used the usual English language interpretation of "between", which allows the end values to be considered as part of the solution set. That is, 1 quart is sufficient to satisfy the need for "between 1 and 2."
The nth term of a sequence is n^2 + 5.
Find the first three terms and show that 261 is a term in this sequence.
Answer:
first 3 terms: 6, 9, 14
16^2+5=261
Step-by-step explanation:
1^2+5= 6
2^2+5= 9
3^2+5= 14
What is the Factor of 3/9+8/9
Step-by-step explanation:
the lcm is 9 so....
3/9+8/9
multiply both sides by their lcm which is 9...
so....
9 (3/9)+9 (8/9)
3+8=11
The cost of videotaping a basketball tournament is modeled by the function f(x) = 20x + 350 where x represents the cost of each video. What is the rate of change for this scenario ?
Step-by-step explanation:
the factor of x : 20 or 20/1
that means with each additional videotaping (number of tapings goes up by +1) the cost goes up by +20.
Each of these circles represents a pizza cut into 10 equal slices, and the yellow slices are the ones eaten by Larry.
If Larry ate $L\%$ of the total amount of pizzas, what is the value of $L$?
[asy]
unitsize(0.35inch);
defaultpen(black+1);
void pie(pair ctr, real fract, int slices, string lbl){
path c = circle(ctr,1);
draw(c);
fill(c,darkblue);
path s = (ctr+(0,1)--ctr--ctr+(sin(2*pi*fract),cos(2*pi*fract))..ctr+(sin(pi*fract),cos(pi*fract))..cycle);
draw(s);
fill(s,yellow);
for(int i=0;i
draw((ctr+(sin(2*pi*i/slices),cos(2*pi*i/slices))--ctr),red+0.75);
};
label(lbl,ctr+(0,-1),S);
}
pie((0,0),1/10,10,"");
pie((2.5,0),6/10,10,"");
pie((5,0),2/10,10,"");
[/asy]
Answer:
pie((2.5,0),6/10,10,"");
Step-by-step explanation:
Fibd the distance and midpoint between each pair of points. C(-2,2) d(5,-3)
Answer:
D=[tex]\sqrt{10}[/tex] or about 3.2 M=(1.5,-0.5)
Step-by-step explanation:
D=[tex]\sqrt{(x2+x1)^2 +(y2-y1)^2}[/tex] M=[tex](\frac{x1+x2}{2} , \frac{y1+y2}{2} )[/tex]
Lets find the distance first:
D=[tex]\sqrt{(5+-2)^2 + (-3+2)^2}[/tex]
D=[tex]\sqrt{(3)^2+(-1)^2}[/tex]
D=[tex]\sqrt{9+1}[/tex]
D=[tex]\sqrt{10}[/tex]
D is about = 3.2
Lets find the midpoint now:
M= [tex](\frac{-2+5}{2} , \frac{2+-3}{2} )[/tex]
M=[tex](\frac{3}{2} ,\frac{-1}{2} )[/tex]
M= (1.5,-0.5)