Answer:
- cookie: $1.25
- cupcake: $2.75
Step-by-step explanation:
Let x and y represent the cost of a cookie and a cupcake, respectively.
4x +3y = 13.25
5x +2y = 11.75 . . . . . . the system of equations
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By Cramer's rule:
x = (3(11.75) -2(13.25))/(3(5) -2(4)) = 8.75/7 = 1.25
y = (13.25(5) -11.75(4))/7 = 19.25/7 = 2.75
The cost of one cookie is $1.25; the cost of one cupcake is $2.75.
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Cramer's rule gives the solution to the system of equations ...
ax +by =c
dx +ey = f
as ...
∆ = bd -ea
x = (bf -ec)/∆
y = (cd -fa)/∆
Vertical asymptotes occur when the denominator of a rational is 0, whilst not zeroing out the numerator, making the rational, undefined, in this case
Answer:
$420
Step-by-step explanation:
Calculate 3% of 3,500:
0.03*3500 = 105
105 per year for 4 years:
105*4 = 420
Here are the areas of the 12 rectangular surfaces that make up the surface area of the podium:
7.5 x 1.5 = 11.25 square feet (Bottom)
1.5 x 1.5 x 2 = 4.5 square feet (Right/Left Bottom Sides)
2.5 x 1.5 x 2 = 7.5 square feet (Right/Left Flat)
1.5 x 1.5 x 2 = 4.5 square feet (Right/Left Top Sides)
2.5 x 1.5 x 2 = 7.5 square feet (Top Front/Back)
2.5 x 1.5 = 3.75 square feet (Top)
7.5 x 1.5 x 2 = 22.5 (Bottom Front and Back)
The area of all these surfaces is 61.5 square feet.
Answer:
The equation that represents the motion of the string is given by:
.....[1] where t represents the time in second.
Given that: A = 0.6 cm (distance above its resting position) , k = 1.8(damping constant) and frequency(f) = 105 cycles per second.
Substitute the given values in [1] we get;
or
(a)
The trigonometric function that models the motion of the string is given by:
(b)
Determine the amount of time t that it takes the string to be damped so that 
Using graphing calculator for the equation
let x = t (time in sec)
Graph as shown below in the attachment:
we get:
the amount of time t that it takes the string to be damped so that is, 0.5 sec
