Answer:
The item will cost $385.64.
Step-by-step explanation:
The price of the item with tax is = $318.
If he makes the minimum payment of $15 each month, it will take him 26 months, this will cost him 15*26=$390
Also given is, the total interest will be = $67.64
The item will cost if Mitchell uses a credit card and only makes the minimum payment each month = 318+67.64 = $385.64
Answer:
Rectangular area
side a = 3 units
side b = 2.60 units
Step-by-step explanation: See annex
We have an equilateral triangle (3 equal sides, three equal inside angles)
side length = 6
∠ ABC = ∠BCA = ∠CAB = 60⁰
tan 60⁰ = sin 60⁰/cos 60⁰ = √3/2 / 1/2
tan 60⁰ = √3
From annex
tan ∠ ABC = √3 = b/x then b = √3 * x
and a = 6 - 2*x ( by symmetry)
Then
A = a*b
A(x) = ( 6 - 2*x ) * √3 *x
A(x) = 6*√3 *x - 2*√3 *x²
Taking derivatives on both sides of the equation we get:
A´(x) = 6*√3 - 4*√3 *x ⇒ A´(x) = 0 ⇒ 6*√3 - 4*√3 *x = 0
x = 6/4 ⇒ x = 1.5
then a = 6 - 2*x ⇒ a = 6 - 3 ⇒ a = 3 (units)
and b = √3*x = 1.5 *√3 = 2.60 units
We get a rectangle (almost a square)
Answer:
b.
1017 sq. cm
Step-by-step explanation:
Surface area:
The surface area of a sphere with radius r is given by:
In this question:
Diameter of 18, since the radius is half the diameter, 
The surface area is:
So 1017 square centimeters, and the best option is b.
It should be B. The dash-line triangle is half the size of the solid-lined triangle. You can find the scale factor by finding the ratio between the side lengths of the two triangles. The scale factor in this case is 2 because you are reducing thr solid-lined triangle by one half. If you are reducing by a fraction, it means that you are enlarging be the reciprical of the fraction. As reducing implies division and dividing a fraction is equivalent to multiplying by the reciprical. Thus the correct answer is B.
We know that
[scale factor]=[measure smaller cylinder]/[measure larger cylinder]
[scale factor]=[9]/[18]---> 1/2
[volume of smaller cylinder]=[scale factor]³*[volume of larger cylinder]
[volume of smaller cylinder]=[1/2]³*[14464]---> (1/8)*14464---> 1808 in³
the answer is
1808 in³
