Answer:
<u>$27,039</u>
Step-by-step explanation:
Calculating the amount of interest :
- A = interest
- P = principal
- r = rate of interest (in decimal)
- n = number of times compounded
- t = time (in years)
Given values :
- P = $17,000
- r = 4.75% = 0.0475
- n = 1
- t = 10
Solving :
- A = (17,000)(1 + 0.0475/1)¹⁰
- A = (17,000)(1.0475)¹⁰
- A = (17,000)(1.59052433)
- A = <u>$27,039</u> (nearest dollar)
The constant of proportionality is 4
<u>Define x:</u>
Let x be the width of the border
Length of the rug = 15 -2x
Width of the rug = 12 -2x
Area of the rug = (15 - 2x)(12 - 2x)
<u>Construct equation:
</u>
Given that the area of the rug os 108 ft²
(15 - 2x)(12 - 2x) = 108
Apply distributive property:
180 - 20x - 24x + 4x² = 108
Collect all terms on the left hand side:
4x² - 44x + 72 = 0
Factorise:
x² - 11x + 18 = 0
<span> (x - 2) (x - 9)
Apply zero product property:
x = 2 or x = 9
<u>Check x:
</u>
When x = 9,
Width = 12 - 9 - 9 = -6
</span>⇒ <span>x = 9 is rejected since width cannot be negative
When x = 2
Length = 15 - 2 - 2 = 11 ft
Width = 12 - 2 - 2 = 8 ft
Answer: The border is 2 feet wide.
</span>
Question 1 is C
Question 2 is D
Question 4 is B
Answer:0
Step-by-step explanation:
(2^28•5-5•19^-2)•(5^2 over 2^3)•2^28
(0-0)•((5x5) over (2x2x2))•2^28
0•(25/8)•2^28=0