Step-by-step explanation:
32 because there are 16 cups in a gallon and since there are TWO gallons you would multiply 16 by 2.. hope this helped
To get the effective interest rate (EIR) of the loan, determine first whether we will use a simple interest method or a discounted method. In this case, we will use a discounted method because the loan is a discounted one. In a discounted method, interest is deducted from the loan principal. So the formula will look like this:
EIR = Interest ÷ (Principal - Interest)
Before proceeding any further, solve first for interest. (assuming a 360-day year)
Interest = Principal × rate × interest
= $2950 × (100/360) × (0.085)
= $69.65
Thus, EIR can be computed as follows:
EIR = ($69.65 ÷ ($2950 - $69.65)) × 360
≈ 8.7%
Notice that the EIR was multiplied by 360 to return it to an annual rate.
Answer:
2.5
Step-by-step explanation:
A rectangular picture is 12 by 16 inches.
the area of the frame is 165 sq inches
the frame borders the pictures round the 4 corners
for the length, Let x be the frame distance to the picture which is 12+x+x= 12+2x
and for the breadth, Let x be the frame distance to the picture which is 16+x+x = 16+2x
(12+2x) x (16+2x) = length x breadth of frame
12(16+2x)+2x(16+2x)
192+24x+32x+4x²
192+56x+4x² is the area of frame
165 is area of frame - area of rectangular picture
165 = 192+56x+4x² - (12 x16)
165 = 192+56x+4x² - 192
165 = 56x+4x²
subtract 165 from both sides to form a quadratic equation
4x²+56x-165= 0
using almighty formula
x=-b±√b²-4ac/2a
a= 4
b=56
c=-165
x=-b±√b²-4ac/2a = -56±√56²-4(4)(-165)/2(4)
= -56±√3136+2640/8= -56±√5776/8 = -56±76/8
splitting the sign±
-56+76/8 ,-56-76/8
20/8, -132/8
5/2, -16.5
2.5, -16.5
we need to neglect the neagtive answer because the width cant be negative
the width is 2.5
