Foreign Exchange Traders often buy foreign currency in the hope of making money when the currency’s value changes. For example, on April 10, 2018, one U.S dollar could purchase 0.8101 euro, and one euro could purchase 132.317 yen. Let f ( x ) represent the number of euros you can buy x dollars, let g ( x ) represent the number of yen you can buy with x euros. Find a function that relates dollars to tutus Find a function that relates twos to yen. Use the results of parts a) and b) to find a function that relates dollars to yen. That is, find ( g ∘ f ) ( x ) . What is ( g ∘ f ) ( 1000 ) ?
Foreign Exchange Traders often buy foreign currency in the hope of making money when the currency’s value changes. For example, on April 10, 2018, one U.S dollar could purchase 0.8101 euro, and one euro could purchase 132.317 yen. Let f ( x ) represent the number of euros you can buy x dollars, let g ( x ) represent the number of yen you can buy with x euros. Find a function that relates dollars to tutus Find a function that relates twos to yen. Use the results of parts a) and b) to find a function that relates dollars to yen. That is, find ( g ∘ f ) ( x ) . What is ( g ∘ f ) ( 1000 ) ?
Solution Summary: The author explains the function that relates dollars to euros, where f(x) is the number of euros buy with x dollars.
Foreign Exchange Traders often buy foreign currency in the hope of making money when the currency’s value changes. For example, on April 10, 2018, one U.S dollar could purchase 0.8101 euro, and one euro could purchase 132.317 yen. Let
f
(
x
)
represent the number of euros you can buy
x
dollars, let
g
(
x
)
represent the number of yen you can buy with
x
euros.
Find a function that relates dollars to tutus
Find a function that relates twos to yen.
Use the results of parts a) and b) to find a function that relates dollars to yen. That is, find
(
g
∘
f
)
(
x
)
.
Consider the following system of equations, Ax=b :
x+2y+3z - w = 2
2x4z2w = 3
-x+6y+17z7w = 0
-9x-2y+13z7w = -14
a. Find the solution to the system. Write it as a parametric equation. You can use a
computer to do the row reduction.
b. What is a geometric description of the solution? Explain how you know.
c. Write the solution in vector form?
d. What is the solution to the homogeneous system, Ax=0?
2. Find a matrix A with the following qualities
a. A is 3 x 3.
b. The matrix A is not lower triangular and is not upper triangular.
c. At least one value in each row is not a 1, 2,-1, -2, or 0
d. A is invertible.
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