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Alisiya [41]
2 years ago
10

Find the interest rate for ​$9000 deposit accumulating to ​$9889​, compounded annually for 5 years.

Mathematics
1 answer:
stellarik [79]2 years ago
7 0

sorry I didn't answer the question

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Solve using algebraic equation: <br> 5sin2x=3cosx<br><br> (No exponents)
DaniilM [7]
5\sin2x=3\cos x\iff10\sin x\cos x=3\cos x

by the double angle identity for sine. Move everything to one side and factor out the cosine term.

10\sin x\cos x=3\cos x\iff10\sin x\cos x-3\cos x=\cos x(10\sin x-3)=0

Now the zero product property tells us that there are two cases where this is true,

\begin{cases}\cos x=0\\10\sin x-3=0\end{cases}

In the first equation, cosine becomes zero whenever its argument is an odd integer multiple of \dfrac\pi2, so x=\dfrac{(2n+1)\pi}2 where n[/tex ]is any integer.\\Meanwhile,\\[tex]10\sin x-3=0\implies\sin x=\dfrac3{10}

which occurs twice in the interval [0,2\pi) for x=\arcsin\dfrac3{10} and x=\pi-\arcsin\dfrac3{10}. More generally, if you think of x as a point on the unit circle, this occurs whenever x also completes a full revolution about the origin. This means for any integer n, the general solution in this case would be x=\arcsin\dfrac3{10}+2n\pi and x=\pi-\arcsin\dfrac3{10}+2n\pi.
6 0
3 years ago
SOMEONE HELP PLS 15 POINTS FOR ONE EASY MC QUESTION
Ksenya-84 [330]

Answer:

A rectangle could not be a cross section of a cylinder

could you help me with this: brainly.com/question/21423860

6 0
2 years ago
A right triangle has side lengths 7,24, and 25 as shown below.
Aleksandr [31]
CosB= 7/25
tanB= 24/7
sinB= 24/25
6 0
3 years ago
What is the derivative of y with respect to x if y = 2/X4
zepelin [54]
You're correct, the answer is C.

Given any function of the form y=x^n, then the derivative of y with respect to x (\frac{dy}{dx}) is written as:
\frac{dy}{dx}=nx^n^-^1

In which n is any constant, this is called the power rule for differentiation.

For this example we have y= \frac{2}{x^4}, first lets get rid of the quotient and write the expression in the form y=x^n:
y= \frac{2}{x^4} =2x^-^4

Now we can directly apply the rule stated at the beginning (in which n=-4):
\frac{dy}{dx}=(2)(-4)x^{-4-1}=-8 x^{-5}= -\frac{8}{x^5}

Note that whenever we differentiate a function, we simply "ignore" the constants (we take them out of the derivative).
6 0
3 years ago
Emma received a $40 gift card that could be used to download television programs. After downloading 5 programs, she had $30 rema
aalyn [17]

Answer:

x= 1 program

x= $2

Step-by-step explanation:

40-30= 10 <- what she spent

10/5 = 2

5 = Amount of Programs

Each program is $2.

Your welcome :)

8 0
3 years ago
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