On your last credit card statement, you had a previous balance of $98.14, payments of $10, a periodic rate of 1.34 percent, and
2 answers:
Answer:
The new balance is $123.128.
Step-by-step explanation:
Given : On your last credit card statement, you had a previous balance of $98.14, payments of $10, a periodic rate of 1.34 percent, and new charges totaling $34.89
To find : What is the new balance?
Solution :
Previous balance = $98.14
Payment = $10
Unpaid balance = Previous balance - Payments
= $98.14 - $10
Unpaid balance = $88.14
We have given rate of interest= 1.34%=0.0134
Finance charge = Finance rate × Unpaid balance
Finance charge =
Finance charge = $0.098423
New balance = Unpaid balance + finance charge + new transaction
New balance = $88.14 +$0.098423+ $34.89
New balance =$123.128
Therefore, The new balance is $123.128.
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Answer:
(a) 720 -2x
(b) 0 ≤ x ≤ 360
(c) A = x(720 -2x)
(d) (30.334, 68.645) ∪ (291.355, 329.666) (two disjoint intervals)
(e) x = 180 ft, the other side = 360 ft; total area 64,800 ft²
Step-by-step explanation:
(a) The two parallel sides of the fenced area are each x feet, so the remaining amount of fence available for the third side is (720 -2x) ft. Then ...
length = 720 -2x
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(b) The two parallel sides cannot be negative, and they cannot exceed half the length of the fence available, so ...
0 ≤ x ≤ 360
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(c) Area is the product of the length (720-2x) and the width (x). The desired function is ...
A = x(720 -2x)
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(d) For an area of 20,000 ft², the values of x will be ...
20000 = x(720 -2x)
2x² -720x +20000 = 0
x = (-(-720) ±√((-720)² -4(2)(20000)))/(2(2)) = (720±√358400)/4
x = 180 ±40√14 = {30.334, 329.666} . . . feet
For an area of 40,000 ft², the values of x will be ...
x = 180 ±20√31 ≈ {68.645, 291.355} . . . feet
The values of x producing areas between 20,000 and 40,000 ft² will be values of x in the intervals (30.334, 68.645) or (291.355, 329.666) feet.
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(e) The vertex of the area function is at the axis of symmetry: x = 180. The corresponding dimensions are ...
180 ft × 360 ft
and the area of that is 64,800 ft².
