Answer:
- short-term: $90,000
- long-term: $70,000
Step-by-step explanation:
Let x represent the amount borrowed on the short term. Then 160000-x is the amount of the long-term note. The total interest is ...
0.11x +0.08(160000-x) = 15500
0.03x + 12800 = 15500 . . . . simplify
0.03x = 2700 . . . . . . . . . subtract 12800
x = 2700/.03 = 90,000 . . . . short-term note
160,000 -90,000 = 70,000 . . . . long-term note
The short-term note was for $90,000; the long-term note was for $70,000.
Correct question:
Every day Kim practice volleyball and clarinet each day she practices volleyball for 2.5 hours if after 8 days she practices both volleyball and the clarinet for a total of 36 hours how many hours per day did Kim practice clarinet.
Answer: 2 hours
Step-by-step explanation:
Everyday Kim practices volleyball and clarinet = v/ball + clarinet
Everyday volleyball practice = 2.5hours
That is clarinet(hours) + 2.5 hours of volleyball
After 8 day, total practice hours of both volleyball and clarinet equals 36 hours
The above information can be represented mathematically as thus:
Let h = hours per day of clarinet
8(h + 2.5) = 36
8h + 20 = 36
8h = 36 - 20
8h = 16
h = 16/8
h = 2
Answer:
-8
Step-by-step explanation:
(x-3y=136) + (18x+3y=288) We collect both processes to make y's disappear
19x=-152
x=-8
Answer:
x=5
Step-by-step explanation:
We simplify the equation to the form, which is simple to understand
3x+5-5=20-5
We move all terms containing x to the left and all other terms to the right.
+3x=+20-5-5+5
We simplify left and right side of the equation.
+3x=+15
We divide both sides of the equation by 3 to get x.
x=5
Substitution for both equations is (-3,1)
