A nut mixture of peanuts and pecans at a small fair is $1.00 per pound of peanuts and $2.85 per pound of pecans. Over the entire
day, 97 pounds of the nut mixture were sold for $254.25. If p is the number peanuts and n is the number of pecans, then the system of equations that models this scenario is: p+n=97p+2.85n=254.25 Determine the correct description and amount of pounds for peanuts and pecans that were sold.
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Given:
Principal = $14850
Rate of interest = 4% compounded semiannually.
Time = 3 years
To find:
The amount after 3 years.
Solution:
Formula for amount is:
Where, P is principal, r is the rate of interest in decimal, n is the number of times interest compounded and t is the number of years.
The interest is compounded semiannually, so n=2.
Putting in the above formula, we get
On further simplification, we get
Therefore, the amount in the account after three years is $16723.51.
Answer:
The family bought 2 bags of chips
Step-by-step explanation:
Let the number of chips bags be = x
The number of candy bars = twice as much as the number of bags of chip
The number of candy bars = 2x
The total cost spent is = $5.50
Therefore cost of all the chips bags + candy bars = 5.50
2x + x = 5.50
3x = 5.50
x =
x = 1.83
x = 2 (approx)
Thus the number of chips is 2 and the candy bars is 2(2) = 4 bags