Answers
Related Questions
Suppose you are exchanging currency in the London airport. The currency exchange service there only makes transactions in which one of the two currencies is British pounds, but you want to exchange dollars for Euros. Thus you first need to exchange dollars for British pounds, then exchange British pounds for Euros. At the time you want to make the exchange, the function f for exchanging dollars for British pounds is give by the formula:
f(d)=0.69d−1
and the function gg for exchanging British pounds for Euros is given by the formula
g(p)=1.3p−2
Required:
a. Find a formula for the function that exchanges dollars in return for Euros.
b. How many Euros would you receive for exchanging 450 dollars after going through this two-step exchange process?
c. How many dollars would you need to exchange in order to end up with 60 Euros after this two-step exchange process?
Answers
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
Read more about composite functions at:
https://brainly.com/question/20379727
7c + 8d = 5A
solve for a
(just rearrange the equation for the answer, I forgot how to)
Answers
Answer:
A=7c/5 + 8d/5
Step-by-step explanation:
Answer:
A = [tex]\frac{7c+8d}{5}[/tex]
Step-by-step explanation:
7c + 8d = 5A ( isolate A by dividing both sides by 5 )
[tex]\frac{7c+8d}{5}[/tex] = A
Carlos spent 1 1/4 hours doing his math homework. He spent 1/4 of this time practicing his multiplication facts.
How many hours did Carlos spend practicing his multiplication facts?
____ of an hour
A: 1/4 of an hour
B: 3/8 of an hour
C: 1/16 of an hour
D: 5/16 of an hour
Answers
A(-5‚-8) B(2‚-3) And C(-2‚9) are the vertices of ∆ABC. find the coordinates of its image under the rotation through 180°
in anti-clock wise direction about origin? HELP Meeeee
Answers
Answer:
see explanation
Step-by-step explanation:
Under a rotation about the origin of 180°
a point (x, y ) → (- x, - y ) , then
A (- 5, - 8 ) → A' (5, 8 )
B (2, - 3 ) → B' (- 2, 3 )
C (- 2, 9 ) → C' (2, - 9 )
LOL ITS ME AGAIN STOP SCROLLING N HELP MEEE PLS. ALSO DONT MIND DIRTY SCREEN
Answers
Answer:
12/16 9/12
3/4
Step-by-step explanation:
12/16 = 15/20 = 9/12
scale factor = 3/4
Answer:
The other fractions are [tex]\frac{9}{12}[/tex] and [tex]\frac{15}{20}[/tex].
the scale factor is [tex]\frac{3}{4}[/tex].
Each of the sides on XYZ are 3/4 of the corresponding sides on ABC.
Find three rational numbers lying between -2/5 and -1/5
Answers
Answer:
0, 1/4, -1/4
Step-by-step explanation:
Choose the expression that correctly compares 0.501 and 0.051
Answers
Answer:
0.501>0.051
Step-by-step explanation:
Answer:
0.501 > 0.051
Step-by-step explanation: blah
Please help! People on my last post didn’t help :(! I’ll give brainliest.
Bill keeps a colony of honeybees on his property. He has created an expression to represent
the number of honeybees that are in the colony t years after he decided to create the colony.
The expression Bill created is -1644 + 160t2 – 144.
After deciding to create the colony, it took a fair amount of time to prepare before actually
getting bees in his colony. After some time, the population in the colony started to decrease;
eventually Bill lost his colony.
(The questions are listed in the photo)
Answers
Answer:
It is 7823
Step-by-step explanation:
This is the right answere because it shows us how each number is placed and what we do with it
A group of friends wants to go to the amusement park. They have no more than $160 to spend on parking and admission. Parking is $8, and tickets cost $38 per person, including tax. Write and solve an inequality which can be used to determine pp, the number of people who can go to the amusement park.
Answers
Answer:
4
Step-by-step explanation:
Based on the information given in the question, the inequality which can be used to determine x, the number of people who can go to the amusement park will be:
8 + 38(x) ≤ 160
8 + 38x ≤ 160
38x ≤ 160 - 8
38x ≤ 152
x ≤ 152/38
x ≤ 4
The number of people that can go to the amusement park will be at most 4.
Hence the answer is 4.
please tell me what is the answer and how is it done
3825÷4.25= ?????
Answers
Hey there!
I got 900 as the answer.
I hope this helped.
Which of the following expresses (2.4 on going) as a fraction in simplest form?
2 and 1/4th
2 and 2/5ths
2 and 11/25ths
2 and 4/9ths
Answers
Answer:
2 and 4/9ths
Step-by-step explanation:
2 ⁴/9 is equal to 2.4 constant
Find the values of m for which the equation
x^2 +2mx + 9 = 0 has no real roots
Answers
Answer:
Interval notation for m: (-3,3)
Inequality notation: -3<m<3
In words: Anything between -3 and 3 without including either -3 or 3.
Step-by-step explanation:
If we want no real roots then b^2-4ac must be less than 0.
a=1
b=2m
c=9
These values were found by comparing your equation to ax^2+bx+c=0.
b^2-4ac<0 is what we are trying to satisfy
(2m)^2-4(1)(9)<0
4m^2-36<0
Divide both sides by 4:
m^2-9<0
Add 9 on both sides:
m^2<9
m^2<9 when m<3 and m>-3.
Interval notation (-3,3).
PLEASE HELPPP!!!
The graph below shows the time it takes Michael to solve 30 multiplication
flash cards over 7 attempts. By how many seconds did his time improve from
Attempt 3 to Attempt 7? Do not include units in your answer.
Answers
Answer:
24
Step-by-step explanation:
Im not sure by 64-40=24?ANSWER ASAP WILL AWARD BRAINLIEST
Answers
Answer:
Pretty sure the answer is 9−4√3
[tex]\dfrac{(5-\sqrt 3)(3-\sqrt 3)}{2}\\\\=\dfrac{15 - 5\sqrt 3 - 3\sqrt 3 + 3}{2}\\\\=\dfrac{18 - 8 \sqrt 3}2\\\\=\dfrac{18}2 - \dfrac{8 \sqrt 3}2\\\\=9- 4\sqrt 3[/tex]
Using partial quotients to solve 604 ÷ 5, which is the best choice for the first number to be subtracted from 604?
500
5
5,000
50
Please be quick
Answers
Answer:
500
Step-by-step explanation:
Umm I dont know how to explain but im 100% sure
I got it right on my quiz so...
Answer: 500
Step-by-step explanation:
the first one
Does this table represent a function or not? Why or why not?
Answers
Answer:
No
Step-by-step explanation:
For something to be a function, there must be no duplicate x values, or if there is they must represent the same y. The table has a duplicate value of 2 so it is not a function.
I hope this helps!
Use angle relationships to complete the top equation. Then, solve for x and find the measure of both angles.
Answers
9514 1404 393
Answer:
7x +40x = 204x +30 = 110°3x +10 = 70°Step-by-step explanation:
The marked angles are supplementary, so you have ...
(4x +30) +(3x +10) = 180
7x +40 = 180
__
Subtracting 40 gives ...
7x = 140
x = 140/7 . . . . . divide by the coefficient of x
x = 20
__
Then the angle measures are ...
4x +30 = 4·20 +30 = 110°
3x +10 = 3·20 +10 = 70°
PLZ HELP ASAP I GIVE BRAINLIEST AND POINTS PLZ DONT POST LINKS
LOOK AT THE PICTURE
Answers
Answer:
look at the picture..................
[tex]\\ \rm\leadsto (aa^2a^3)/(a\div a^2)^{-1}[/tex]
[tex]\\ \rm\leadsto \dfrac{a^{1+2+3}}{(a^{-1})^{-1}}[/tex]
[tex]\\ \rm\leadsto \dfrac{a^6}{a}[/tex]
[tex]\\ \rm\leadsto a^5[/tex]
Alr guys I need a refreser on long division because my little sister needs help with it (Help :') )
Answers
Answer:
116 remainder 1
116 1/3
116.333
Step-by-step explanation:
Answer:
116 with a remainder of 1
Step-by-step explanation:
Picture below shows step by step work
Hopefully this helps!
Brainliest please?
Helpppp!!
Drag each image to the correct location on the graph. Each image can be used more than once.
The following list shows the grams of fiber per serving for each flavor of oatmeal at a grocery store.
3, 6, 3, 4, 2, 4, 4
3, 5, 2, 1, 4, 1, 2
Create a histogram that correctly displays the data.
Answers
Answer:
The answer is 2, 6, 5, 1 for the Grams of Fiber.
Step-by-step explanation:
93 is what percent of 300
Answers
[tex]\sf \longmapsto \: \dfrac{93}{300} [/tex]
[tex]\sf \longmapsto \: \dfrac{93}{300} \times x[/tex]
[tex]\sf \longmapsto \: \dfrac{93}{300} \times 100[/tex]
[tex]\sf \longmapsto \cancel\dfrac{93}{300} \times \ \cancel\dfrac{100}{100}[/tex]
[tex]\sf \longmapsto \: \dfrac{31}{100} [/tex]
[tex]\sf \longmapsto \: 31\%[/tex]
Please Help Im Doing A Test And Really Need The Answer!
Please no fake answer for points
Answers
Answer:
The last one (16+20+3+8)
Step-by-step explanation:
add up all the sides not including the 3 inside
Answer:
(16+20+3+8)
Step-by-step explanation:
The perimeter is the measurement on the outside of the shape.
so (3+16+20+8) = 47
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!4
Answers
Answer:
a
Step-by-step explanation:
Which method is best used to solve -2/3c=16
Answers
Answer:
-24
Step-by-step explanation:
-2/3c = 16
c = 16 : -2/3
c = 16 . 3/-2
c = 8 . 3/-1
c = 8 . -3
c = -24
Answer:
-24
Step-by-step explanation:
-2/3c = 16
c = 16 * 3/-2
c = -8 * 3
c = -24
the cost of 20 ounces of turkey is 4.20 dollars what is the cost per ounce of turkey?
Answers
Answer:
0.21
Step-by-step explanation:
Draw a square and its diagonals. Guess the measures of these angles.
Answers
Answer:
90 degrees on each angle.
Step-by-step explanation:
A square is symmetrical on all sides, so each side has to be a right angle. Each right angle adds up to 360 degrees, the total degrees of a quadrilateral.
A media organization is interested in reporting election results in a congressional election prior to the final tally of votes which will not occur until later in the evening. The organization randomly selects several polling places across the district asking voters whom they voted for. The type of poll being used in this scenario is known as an exit poll Answer A: an exit poll A a benchmark poll Answer B: a benchmark poll B an opinion poll Answer C: an opinion poll C a tracking poll
Answers
The name which is given to this type of poll which is being described in this scenario is known as:
A. An exit pollAccording to the given question, we are asked to state the name which is given to this type of poll which is being described in this scenario where a media organisation asks people who they voted for.
As a result of this, we can see that the type of poll which was used in this described scenario above is known as an exit poll because it is used to get the poll of the voters just after they have left the polling stations.
Therefore, the correct answer is option A
Read more here:
https://brainly.com/question/22435957
Find the distance between the points (6,3) and (-5,3)
Answers
Answer:
11
Step-by-step explanation:
Pls hurry and no links
Answers
Answer:
-20.5
-8
4.5
17
Step-by-step explanation:
y = 2.5x - 8
x = -5
y = 2.5(-5) - 8
y = -12.5 - 8
y = -20.5
x = 0
y = 2.5(0) - 8
y = 0 - 8
y = -8
x = 5
y = 2.5(5) - 8
y = 12.5 - 8
y = 4.5
x = 10
y = 2.5(10) - 8
y = 25 - 8
y = 17
What is the closed form definition for the sequence below?
4, -12, 36, -108,...
Note that 4 is considered the 1st term.
Answers
Answer:-108
Step-by-step explanation:
you need to put them in order from least to greatest 4, 36, -12, -108