Answer:
See the attachment
Step-by-step explanation:
A unit circle is one whose radius is 1
sin(90) will have coordinates (0,1)
sin(40)= 0.643
sin(40)= P/H= 0.643/1
cos(40)= B/H= 0.766
Similarly for cos(245)= cos(-65)= -0.423/1
sin(245)= sin(-65)= -0.906
Answer:
Amount invested that yielded interest of 5% is $15000 and amount invested that yielded interest of 8% is $5000
Step-by-step explanation:
Johnny invested $20,000
We are told that it consisted of 2 portions because one returned an interest of 5% and the other one 8%
Now, Let x be the amount invested that earned 5% and y be the amount invested that earned 8%
Thus:
x + y = 20000 - - - (eq 1)
The total interest earned on the investment was $1150
Thus;
5%x + 8%y = 1150
This can be rewritten as;
0.05x + 0.08y = 1150 - - -(eq 2)
From eq 1, let's make x the subject.
x = 20000 - y
Putting 20000 - y for x in eq 2 gives;
0.05(20000 - y) + 0.08y = 1150
1000 - 0.05y + 0.08y = 1150
Rearranging, we have;
0.03y = 1150 - 1000
0.03y = 150
y = 150/0.03
y = 5000
Thus,
x = 20000 - 5000
x = 15000
Thus,
Amount invested that yielded 5% is $15000 and amount invested that yielded 8% is $5000
It's 28 5/7. 10 +18 and 2/7 + 3/7
First record information.
3.5 KM
3750= Terrell meters
Convert km to meters!
3.5--->3500 meters
3500 or 3750
3500 <3750
Victor ran more!