You are selling tickets to a play. You have sold (3t+2) tickets for $5 each and (2t+5) tickets for $7 each. Write an expression
1 answer:
Given that the number of tickets that are sold for $5 is (3t+2) tickets.
The number of tickets that are sold for $7 is (2t+5) tickets.
We need to determine the expression that represents the total number of tickets sold and the simplified expression.
<u>Total number of tickets sold:</u>
The expression for (3t+2) tickets sold for $5 is given by
The expression for (2t+5) tickets sold for $7 is given by
The expression for the total number of tickets sold is given by
Thus, the expression that represents the total number of tickets sold is
<u>Simplified expression:</u>
We need to simplify the expression
Hence, let us multiply the terms within the bracket.
Thus, we get;
Adding the like terms, we have,
Thus, the simplified expression is
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Answer:
Option D
Step-by-step explanation:
To calculate compound interest we will use the formula :
Where,
A = Amount on maturity
P = Principal amount = $3000
r = rate of interest = 8.4% = 0.084
n = number of compounding period = Monthly = 12
t = time = 1 year
Now put the values in the formula.
=
= 3000(1.007)¹²
= 3000 × 1.08731066
= 3261.93198 ≈ $3261.93
While the other bank compounds interest daily.
Therefore, n = 365
Now put the values in the formula with n = 365
= 3000 × 1.08761958
= 3262.85874 ≈ $3262.86
Difference in the ending balance = 3262.86 - 3261.93
= $0.93
The difference in the ending balances of both CDs after one year would be $0.93.