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:
18.95
Step-by-step explanation:
ln 2 x ln (4x) = 3
ln 4x = = 3 / ln 2
ln4x = 3 / 0.69315 = 4.3281
4x = e^4.328 = 75.80
x = 18.95.
<em>372₁₀ = 2442₅</em>
- Step-by-step explanation:
<em>372 : 5 = 74 r 2</em>
<em>74 : 5 = 14 r 4</em>
<em>14 : 5 = 2 r 4</em>
<em>2 : 5 = 0 r 2 ↑</em>
<em>write down the remainders in the reverse order</em>
<em />
<em>372₁₀ = 2442₅</em>
