Answer:
13.2 miles
Step-by-step explanation:
To solve this, we will need to first solve for the base of the triangle and then use the information we find to solve for the shortest route.
(5.5 + 3.5)² + b² = 15²
9² + b² = 15²
81 + b² = 225
b² = 144
b = 12
Now that we know that the base is 12 miles, we can use that and the 5.5 miles in between Adamsburg and Chenoa to find the shortest route (hypotenuse).
5.5² + 12² = c²
30.25 + 144 = c²
174.25 = c²
13.2 ≈ c
Therefore, the shortest route from Chenoa to Robertsville is about 13.2 miles.
So a²+b²=c²
8²+15²=c²
64+225=c²
289=c²
±17=c
So c=17 or c=-17
Henson's cost: 3x+y=203
Garcia's cost: 2x+3y=189
Step-by-step explanation:
Given,
Cost of each adult ticket = x dollars
Cost of 3 adult ticket = 3x
Cost of 2 adult ticket = 2x
Cost of each child ticket = y dollar
Cost of 3 child ticket = 3x
Henson's cost;
3 adult tickets + 1 child ticket = $203
3x+y=203
Garcia's cost;
2 adult tickets + 3 child tickets = $189
2x+3y=189
Henson's cost: 3x+y=203
Garcia's cost: 2x+3y=189
Keywords: linear equation, addition
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Answer:
Ans. A) The annual rate that the company charged was 11.996%; B) if they charged you 11.186% annual rate, you would have to pay $41.14
Step-by-step explanation:
Hi, first we have to find out what is the effective 119 days rate and then turn it into an annual rate. This is as follows.
So the charged rate was 3.816% effective, 119 days, now let´s make it an annual rate.
This means that the equivalent rate to 3.816% effective 119 days ys 11.996% effective annually (or just annual).
Now, if they were to charge you 11.186% annual, you would have to make this rate effective 119 days, and then, multiply it by the principal ($1,153). Let´s change the rate first.
And the money that you will have to pay in interest is $1,153*0.03568=$41.14
Best of luck
