Answer:
1.75p + 1.50(p + 6) = 22
Step-by-Step:
p = peaches, m = mangos
1.75p + 1.50m = 22
m = p + 6
1.75p + 1.50(p + 6) = 22
1.75p + 1.50p + 9 = 22
1.75p + 1.50p = 22 - 9
3.25p = 13
p = 13 / 3.25
p = 4 <====== she bought 4 peaches
m = p + 6
m = 4 + 6
m = 10 <===== she bought 10 mangos
check...
1.75p + 1.50m = 22
1.75(4) + 1.50(10) = 22
7 + 15 = 22
22 = 22 (correct)
Answer:
Step-by-step explanation:
- Initial value = $500000
- Depreciation rate = 5.41% each year
- Target value = 1/2*$500000 = $250000
- Number of years = x
Depreciation can be expressed as function:
- d(x) = 500000*((100 - 5.41)/100)^x
- d(x) = 500000*0.9459^x
Having the final value of $250000, we can find x:
- 250000 = 500000*0.9459^x
- 0.5 = 0.9459^x
- log 0.5 = x log 0.9459
- x = log 0.5 / log 0.9459
- x = 12.46 ≈ 13 years rounded
Answer: 1. n= -8.86 2. k=17.5
explanation: in equation one subtract 3.35 from both sides. in equation two divide both sides by -3.4