Write the equation of the line in fully simplified slope-intercept form.
1 answer:
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Answer:
$203.02
Step-by-step explanation:
Since the bank in question compounds interest continuously, the following equation should be used to determine the final balance (B) in April's account:
Where "e" is a mathematical constant approximated as 2.7183, "i" is the interest rate (1.5%) and "t" is the investment time in years (1):
April's balance would be $203.02 after one year.
Answer: The answer is $2.77.
Step-by-step explanation: Given that we have to pay the loan of $1300 at interest rate of 7.5% in 6 months. According to the table,
Amount for interest in payment 1 = $8.13,
Amount of interest in payment 2 = $6.79
and
Amount of interest in payment 3 = $5.45.
We can see here that the difference in the amounts to be paid in consecutive months will be same, i.e., the payments will form an arithmetic progression (A.P.).
The common difference = 8.13-6.79=6.79-5.45=1.34.
Therefore, amount of interest in payment 4 = $(5.45-1.34) = $4.11
and amount of interest in payment 5 = $(4.11-1.34) = $2.77.
Please see the attached modified table.
Thus, the answer is $2.77.
Set up the following equations:
110 represents the lengths of the length and width of the triangle, as you'll divide total perimeter of the rectangle, 220, by 2 to find the individual lengths. 20 is the difference between the length and width.
We'll use elimination for this system of equations, as there are opposite coefficients for W in both equations. Combine the two equations:
Divide both sides by 2 to get L by itself:
The length of the rectangle is 65 feet.
Plug this value into the second equation:
Add W to both sides:
Subtract 20 from both sides:
The width of the rectangle is 45 feet.
110 represents the lengths of the length and width of the triangle, as you'll divide total perimeter of the rectangle, 220, by 2 to find the individual lengths. 20 is the difference between the length and width.
We'll use elimination for this system of equations, as there are opposite coefficients for W in both equations. Combine the two equations:
Divide both sides by 2 to get L by itself:
The length of the rectangle is 65 feet.
Plug this value into the second equation:
Add W to both sides:
Subtract 20 from both sides:
The width of the rectangle is 45 feet.