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marysya [2.9K]
3 years ago
8

You are preparing for a trip to Canada. At the time of your trip, each U.S. Dollar is worth 1.293 Canadian dollars and each Cana

dian dollar is worth 0.773 U.S. Dollar. a. You exchange 150 U.S. Dollars for Canadian dollars. How many Canadian dollars do you receive?
Mathematics
1 answer:
madreJ [45]3 years ago
4 0

Answer:

193.95 Canadian dollars

Step-by-step explanation:

Given: Each U.S. Dollar is worth 1.293 Canadian dollars and each Canadian dollar is worth 0.773 U.S. Dollar.

To find: Value of 150 U.S. dollars in terms of Canadian dollars

Value of 1 U.S. dollar = 1.293 Canadian dollars

To find 150 U.S. dollars in terms of Canadian dollars, multiply 150 by 1.293

Value of 150 U.S. dollars in terms of Canadian dollars = 150 × 1.293 = 193.95 Canadian dollars

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Calculate the sum of the multiples of 4 from 0 to 1000
allochka39001 [22]

Answer:

sum is 125,500

sum in summation notation is \sum\limits_{n=0}^n a+nd= (2a+(n-1)d)n/2

Step-by-step explanation:

This problem can be solved using concept of arithmetic progression.

The sum of n term terms in arithmetic progression is given by

sum = (2a+(n-1)d)n/2

where

a is the first term

d is the common difference of arithmetic progression

_____________________________________________________

in the problem

series is multiple of 4 starting from 4 ending at 1000

so series will look like

series: 0,4,8,12,16..................1000

a is first term so

here a is 0

lets find d the common difference

common difference is given by nth term - (n-1)th term

lets take nth term as 8

so (n-1)th term = 4

Thus,

d = 8-4 = 4

d  can also be seen 4 intuitively as series is multiple of four.

_____________________________________________

let calculate value of n

we have last term as 1000

Nth term can be described

Nth term = 0+(n-1)d

1000 =   (n-1)4

=> 1000 = 4n -4

=> 1000 + 4= 4n

=> n = 1004/4 = 251

_____________________________________

now we have

n = 1000

a = 0

d = 4

so we can calculate sum of the series by using formula given above

sum = (2a+(n-1)d)n/2

       = (2*0 + (251-1)4)251/2

       = (250*4)251/2

     = 1000*251/2 = 500*251 = 125,500

Thus, sum is 125,500

sum in summation notation is \sum\limits_{n=0}^n a+nd= (2a+(n-1)d)n/2

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2 years ago
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Answer:

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ivanzaharov [21]

If you choose 10 swimmers and 4 are Stingrays, you can say that Stingrays make up roughly 40% of the swimmers. If 20 Stingrays make up 40% of all the swimmers, we just have to find what number 20 is 40% of. That’s easy enough by cross multiplication:

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