There are 5,000 sheets of paper in 25 boxes. if each
2 answers:
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Answer:
Initial principal -$300,000
Investment amount after yr 3-$390,000
Final investment amount, after 6 yrs-$519,090
Step-by-step explanation:
Let X be the amount initially invested.
#The amount after 3 yrs of simple interest is calculated as:
#The amount after 5 yrs is calculated by compounding the amount after 3 yrs for 2 yrs at 10%:
Hence, the amount initially invested as $300,000
#Amount of invested after 6 yrs is therefore:
Hence, the total amount of the investment after 6 yrs is $519,090
#Substitute X in simple interest equation to find amount after 3 yrs of simple interest:
Hence, the total amount of the investment after first 3 yrs is $390,000
Answer:
Mr. Sanchez's class sold 28 fruit pies and Mr. Kelly's class sold 32 bottles of fruit juice.
Step-by-step explanation:
Let x be the number of fruit pies sold and y be the number of bottles of fruit juice sold.
Together, the classes sold 60 items, so
x + y = 60
Mr. Sanchez’s class sold fruit pies for $1.55 each, so x fruit pies cost $1.55x.
Mr. Kelly’s class sold bottles of fruit juice for $1.40 each, so y bottles of fruit juice cost $1.40y.
Together, the classes earned $88.20 for their school, so
1.55x + 1.40y = 88.20.
You get the system of two equations:
From the first equation:
Substitute it into the second equation:
Mr. Sanchez's class sold 28 fruit pies and Mr. Kelly's class sold 32 bottles of fruit juice.