I also need help on number 90 Thank you in advance and could

on : on trip to Europe, te ) currency convers 201 negan had o canvert American dotars t Section 2.8 The Algebra and Composition of Functions euros AS the function E(x)1.12, where x represents the number of dollars and ECx) is the equivalent number of euros. Later, she converts her euros to Japanese yen using the function )() = 1001 r where r represents the number of euros and } ) represents the equivalent number of yer. in feet. (a) Find the radius of the circle after 2 sec. (b) Find the area of the circle after 2 sec. (c) Express the area as a function of time by finding A(o) -(A r) and use A() to find t area of the circle after 2 sec. Do the answers agree? Convert 100 U.S. dollars to euros. (b) Convert the answer from part (a) into Japanese yen. c) Express yen as a function of dollars by finding Mx)(Y EXx), then use Mix) to convert 100 dollars directly to yen. Do parts (b) and (e) agree Source: 2005 World Aimanac, p. 231 Currency conversion: While traveling in the Far East, Timi must convert U.S. dollars to Thai baht using the function 7(x) 41.6, where x represents the number of dollars and Tux) is the equivalent umber of baht. Later she needs to convert her baht o Malaysian ringgit using the function 90. Expanding supernova: The surface area of a star goes through an expansion phase prior to going supernova. As the star begins expanding, the radius becomes a function of time. Suppose this function is r(t) 1.05t, where r is in days and r) is in )10.9x. (a) Convert 100 dollars to baht. b) Convert the result from part (a) to ringgit. igameters (Gm). (a) Find the radius of the star two days after the expansion phase begins. (b) Find the surface area after two days. (c) Express the surface area as a function of time by finding h(t)-(S r)t), then use h(t) to compute the surface area after two days directly. Do the answers agree? Express ringgit as a function of dollars using rx) = (R-7)(x), then use M(x) to convert 00 dollars to ringgit directly. Do parts (b) and agree? curce: 2005 Wonld Aimanac, p. 231 e) pread of a fire: Due to a lightning strike, a forest re begins to burn and is spreading outward ina hape that is roughly circular. The radius of the rcle is modeled by the function r(t) 2, where t the time in minutes and r is measured in meters ) Write a function for the area burned by the fire rectly as a function of, by computing (A-r)(r). ) Find the area of the circular burn after 60 min. adius of a ripple: As Mark drops firecrackers to a lake one 4th of July, each \"pop\" caused a rcular ripple that expanded with time. The radius the circle is a function of time t. Suppose the nction is r(,) = 3, where 1 is in seconds and r is NDING THE CONCEPT a certain country, the function C(a)- 0.0345x 8996r +7.5383 -21.7215x + 40 proximates the number of Conservatives in the rate for the years 1995 to 2007, where x responds to 1995. The function Conservatives control the senate? (b) What was the greatest difference between the number of seats held by each faction in any one year? In what year did this occur? (c) What was the minimum number of seats held by the Conservatives? In what year?

Solution

E = 1.12x1 where x1 = dollars
Y = 1061x2 where x2 = euros

a)
100*1.12
112 euros

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b)
112*1061
118832 yen

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c)
Y = 1061x
E = 1.12x

So, M = (Y o E)(x) becomes :

Y[E(x)]

Y[1.12x]

As in
1061 * (1.12x)

M = 1188.32x ---> ANSWER

Now, for 100 dollars :
M = 1188.32*100
as in 118832 yen
which is same as part B

So, yes, b and c agree