4 I think because you subtract all since it's 60 min
<h3>
Answer:</h3>
System
Solution
- p = m = 5 — 5 lb peanuts and 5 lb mixture
<h3>
Step-by-step explanation:</h3>
(a) Generally, the equations of interest are one that models the total amount of mixture, and one that models the amount of one of the constituents (or the ratio of constituents). Here, there are two constituents and we are given the desired ratio, so three different equations are possible describing the constituents of the mix.
For the total amount of mix:
... p + m = 10
For the quantity of peanuts in the mix:
... p + 0.2m = 0.6·10
For the quantity of almonds in the mix:
... 0.8m = 0.4·10
For the ratio of peanuts to almonds:
... (p +0.2m)/(0.8m) = 0.60/0.40
Any two (2) of these four (4) equations will serve as a system of equations that can be used to solve for the desired quantities. I like the third one because it is a "one-step" equation.
So, your system of equations could be ...
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(b) Dividing the second equation by 0.8 gives
... m = 5
Using the first equation to find p, we have ...
... p + 5 = 10
... p = 5
5 lb of peanuts and 5 lb of mixture are required.
Answer:
Month 1 : 0.002988
Month 2: 0.00299692814
Month 3: 0.00300588297
Step-by-step explanation:
Since we're only finding the interest for the first three months, it's easy to do it by performing the simple interest formula. But first, we need divide 3 by 12, since we calculate interest using years. 3/12 = 1/4 = 0.25
The standard simple interest calculation is done by multiplying the starting amount, by the interest, by the time, then dividing by 100 to put it into a percentage.
1 month = 1/12 or approximately 0.083 of the year.
Let's say P = 1. For the first month, it will be 1 x 3.6 x 0.083 = 0.2988 / 100
The second month, (1 + 0.002988) * 3.6 * 0.083 = 0.299692814 / 100
The third month, (1.002988 + 0.00299692814) x 3.6 x 0.083 = 0.300588297/100
Given the initial amount be 1, those would be the periodic interest rate during the first three months.
