Answer:
The answer to your question is: I bought 7 snacks
Step-by-step explanation:
Data
beginning balance = $42 = b
lunch = $1.80 = l
snack = $ 0.85 = s
final balance = $0.05 = f
f = b - 1.8l - 0.05s
0.05 = 42 - 1.8l - 0.85s
After 20 days I spent = 1.8(20) in lunches = $36
0.05 = 42 - 36 - 0.85s
0.05 = 6 - 0.85s
0.05 - 6 = -0.85s
-5.95 = -0.85s
s = -5.95/-0.85
s = 7
Below are the choices:
A. 80 mL of the 3.5% solution and 120 mL of the 6% solution
<span>B. 120 mL of the 3.5% solution and 80 mL of the 6% solution </span>
<span>C. 140 mL of the 3.5% solution and 60 mL of the 6% solution </span>
<span>D. 120 mL of the 3.5% solution and 80 mL of the 6% solution
</span>
Let fraction of 3.5% in final solution be p.
<span>p * 3.5 + (1 - p) * 6 = 4.5 </span>
<span>3.5p + 6 - 6p = 4.5 </span>
<span>2.5p = 1.5 </span>
<span>p = 3/5 </span>
<span>3/5 * 200 = 120 </span>
<span>Therefore the answer is B. 120 ml of 3.5% and 80 ml of 6%.</span>
The difference between a fixed rate and an adjustable rate mortgage is that, for fixed rates the interest rate is set when you take out the loan and will not change. With an adjustable rate mortgage, the interest rate may go up or down. Many ARMs will start at a lower interest rate than fixed rate mortgages.
Answer:
3.657 and 7.657 to the nearest thousandth.
Step-by-step explanation:
x - y = 4
x^2 + y^2 = 72
From equation 1
x = y + 4 so
(y + 4)^2 + y^2 = 72
y^2 + 8y + 16 + y^2 - 72 = 0
2y^2 + 8y - 56 = 0
y^2 + 4y - 28 = 0
y = 3.657.
so x = 7.657.
