Which statement is true about the equation? 3y-6x=-3
1 answer:
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Answer:
at the end of 1st year we pay $ 11756
at the end of 2nd year we pay $ 24217
at the end of 3rd year we pay $ 37426
at the end of 4th year we pay $ 51427
at the end of 5th year we pay $ 66269
at the end of 6th year we pay $ 82001
Step-by-step explanation:
Given data
rate ( i ) = 6%
Future payment = $82000
no of time period ( n ) = 6
to find out
size of all of 6 payments
solution
we know future payment formula i.e.
future payment = payment per period ( - 1 ) / rate
put all these value and get payment per period
payment per period = future payment × rate / ( - 1 ) / rate
payment per period = 82000 × 0.06 / ( - 1 ) / rate
payment per period = 82000 × 0.06 / 0.4185
payment per period = $ 11756.27
at the end of 1st year we pay $ 11756
and at the end of 2nd year we pay $ 11756 × ( 1 + 0.06) + 11756
and at the end of 2nd year we pay $ 24217
and at the end of 3rd year we pay $ 24217 × ( 1 + 0.06) + 11756
and at the end of 3rd year we pay $ 37426
and at the end of 4th year we pay $ 37426 × ( 1 + 0.06) + 11756
and at the end of 4th year we pay $ 51427
and at the end of 5th year we pay $ 51427 × ( 1 + 0.06) + 11756
and at the end of 5th year we pay $ 66269
and at the end of 6th year we pay $ 66269 × ( 1 + 0.06) + 11756
and at the end of 6th year we pay $ 82001
Answer:
- 575.6 N at 40°
- 451.7 N at 55°
Step-by-step explanation:
Angles are measured from the direction of motion, so the "force made good" is the force in the rope multiplied by the cosine of the angle. If the forces in the ropes (in Newtons) are represented by x and y, then we have ...
x·cos(40°) +y·cos(55°) = 700
In order for the resultant to be in the direction of motion, the forces perpendicular to the direction of motion must cancel.
x·sin(40°) - y·sin(55°) = 0
Here, we have assumed that the positive direction for measuring 40° is the negative direction for measuring 55°. That is, the angles are measured in opposite directions from the direction of motion.
Any of the usual methods for solving systems of linear equations can be used to solve this set. My preference is to use a graphing calculator. It gives the answers summarized above.
