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.
Answer:
x = ±5
Step-by-step explanation:
x² - 25 = 0
x² = 25
√x² = √25
x = ±5
Check:
5² - 25 = 0
-5² - 25 = 0
25 - 25 = 0
Answer:
y = 14.5
Step-by-step explanation:
given that y varies directly as x
mathematically,
y ∝ x
y = kx .............................................. where k is the constant of proportionality.
k = y /x
given that
y = 79
x = 49
k = 79/49
k = 1.61
to find y when x = 9
from
y = kx
y = 1.61 × 9
y = 14.5
therefore the value of y when x = 9 in ths variation is evaluated to be equals to 14.5
16/25 is 64%. Hope this helps
Answer:
- 7/12
Step-by-step explanation:
- 1/2 ( 5/6 + 1/3 )
- 1/2 ( 5/6 + 2/6)
- 1/2 ( 7/6 )
- 7/12 or - 0.58
