Tom Brown decided to purchase a new bike on an installment loan. The bike was $300.00. He agreed to pay $30 a month for 12 months. What is the finance charge in dollars?The finance charge is

Answers

Answer 1

Answer: The answer is $60. $30 × 12 = $360 – $300 = $60.

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Suppose theta= 11pi/12. How do you use the sum identity to find the exact value of sin theta?

Answers

The better way is, first we have to find the equivalent in degrees

$2\pi=360\º$

$(11\pi)/(12)=345\º$

now we can change this value to $-15\º$

how do we get an angle like this?!

$30\º-45\º=-15\º$

then

$sin(30\º-45\º)=sin(30\º)*cos(45\º)-sin(45\º)*cos(30\º)$

$\begin{Bmatrix}sin(30\º)&=&(1)/(2)\n\nsin(45\º)&=&cos(45\º)&=&(√(2))/(2)}\end{matrix}\n\ncos(30\º)&=&(√(3))/(2)\end{matrix}$

now we replace this values

$sin(-15\º)=(1)/(2)*(√(2))/(2)-(√(2))/(2)*(√(3))/(2)$

$sin(-15\º)=(√(2))/(4)-(√(6))/(4)$

$\boxed{\boxed{sin(-15\º)=sin(345\º)=(√(2)-√(6))/(4)}}$

4^3 • 5^3 and 20^3, Are the expressions equivalent? Yes or no?

Answers

Hey there!

4^3 * 5^3 = ?

4^3

= 4 * 4 * 4

= 16 * 4

= [64]

5^3

= 5 * 5 * 5

= 25 * 5

= [125]

125 * 64

= [8,000]

20^3

= 20 * 20 * 20

= 400 * 20

= 8,000

8,000 = [8,000]

Therefore, this statement is TRUE so your answer is: [YES]

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

Yes

Step-by-step explanation:

4³ × 5³

(4 × 5)³

=20³

Both are equivalent

What is an equation in slope intercept form for the line perpendicular to y = - 2x + 5that contains (-8, 1)?
1
A.O
y - 8 = 2 (x + 1)
B. O y=-2x - 1
C.O. 1
=
0:0 x = žy + 14