The local parts shop buys a machine that costs $500,000. Its value depreciates exponentially each year by 10%. What is the machine’s value after 5 years? Round your answer to the nearest integer

Answers

Answer 1

Answer: When compounding you must use:
Original price x percentage^years
So..
500,000 x 0.9^5
= $295245 is the value after 5 years.

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For a particular angle theta, the cosine function f(x)=a cos b(theta) has the following values with in one cycle of the function. f(0)=4; f(pi/4)=0; f(pi/2)=-4; f(3pi/4)=0; f(pi)=4 what is the rule for the cosine function? a. y=2 cos 4theta b. y=4 cos 2theta c. y=-4 cos 3theta d. y= 1/4 cos 2theta

Help me if u knowwwwwwwww

Answers

Answer:

3(times)2x^8y^4+1

Step-by-step explanation:

In how many different ways can 3 identical green shirts and 3 identical red shirts be distributed among 6 children such that each child receives a shirt

Answers

Answer:

Total number of ways will be 20

Step-by-step explanation:

We have given three identical green shirts and three identical red shirts

So total number of shirts = 3+3 = 5

We have to distribute these shirts to 6 children so that each children got one shirt

Number of ways will be equal to $=(6!)/(3!3!)=20$ ( Here we divide by 3!3! because three green shirts and 3 red shirts are identical )

Y''+2y'+y=2e^(-t)
find the general solution of the giving nonhomogenous differential equation

Answers

The general solution of the differential equation y'' + 2y' + y = 2e^(-t) is (c1 + c2 x) e^-x

The width of a rectangle is (2x – 7)inches and its width is (x^2 – 5) inches. Find an expression for the perimeter of the rectangle.a. 2x^3 + 35
b. x^2 - 2x + 2
c. x^2 + 2x – 12
d. 2x^2 + 4x – 24

Answers

Answer:

(2x²+4x-24) in.

Step-by-step explanation:

the answer is D you’re welcome

Nathan bought 12 pairs of bookends. If he paid a total of $204 for all the bookends, how much was the cost of pair of bookends?

Answers

Divide $204 by 12 bookends, then you have your answer.

Solve
Sin(2theta)=1/2

Answers

Just change the fraction into an equivalent in the sine function.

$sin(2\theta)= (1)/(2) \n sin(2\theta)=sin( ( \pi )/(6)+2k \pi ) \n 2\theta=( \pi )/(6)+2k \pi \n \theta=( \pi )/(12)+k \pi \n \n sin(2\theta)= (1)/(2) \n sin(2\theta)=sin( ( 15\pi)/(18)+2k \pi ) \n 2\theta=( 15\pi )/(18) +2k \pi \n \theta=( 15\pi )/(36)+k \pi$

Therefore:

$\boxed {S=(\theta \epsilon R | \theta=( \pi )/(12)+k \pi ~or~ \theta=( 15\pi )/(36)+k \pi, k \epsilon Z)}$

If you notice any mistake in my english, please let me know, because i am not native.

sin(2theta)=1/2

sin(x)=α
x=(-1)^k arcsin α+πk

2theta=(-1)^k arcsin 1/2 + πk k∈Z
arcsin 1/2= π/6
2theta=(-1)^k π/6 + πk k∈Z
theta=(-1)^k π/12 + πk/2 k∈Z

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