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elixir [45]
3 years ago
12

How to do this?

Mathematics
1 answer:
Mandarinka [93]3 years ago
7 0
This equation uses two properties of logarithms:

\ln(g^x) = x \ln(g)

\ln(a) + \ln(b) = \ln(ab)

So you could take the ln from left and right hand side in the equation, and get:

(2-x)ln 3 = x ln 5

then

2 ln 3 - x ln 3 - x ln 5 = 0 =>

x(ln 3 + ln 5) = 2 ln 3

so x = 2 ln 3 / (ln3 + ln5)

Now using the 1st property you can say 2 ln 3 is ln 3² = ln9
and using the 2nd property you can say ln3 + ln5 = ln15

so x= ln9 / ln15


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Find the amount that results from the given investments. $200 invested at 9% compounded after a period of 4 years
Yanka [14]

Answer:

The amount of invested money after a period of 4 years:

A = 200 x (1 + 9/100)^4 = 282.32 dollar

Hope this helps!

:)

8 0
3 years ago
You can represent the measures of an angle and its complement as x °and (90 - x). Similarly, you can
Tanzania [10]

Answer:

  1. 33°
  2. 90° -J°

Step-by-step explanation:

<h3>1)</h3>

If x represents the measure of the angle, its complement is 90-x. The problem statement tells us ...

  x +24 = 90 -x

  2x = 66 . . . . . add x-24

  x = 33 . . . . . . divide by 2

The measure of the angle is 33°.

__

<h3>2)</h3>

Using J for x in the given complement relation:

The measure of the complement of J° is (90 -J)°.

5 0
3 years ago
Given right triangle QRS, what is the value of sin(30°)? StartFraction StartRoot 3 EndRoot Over 3 EndFraction One-half StartFrac
baherus [9]

Answer:

Option 2: \sin(30)=\frac{1}{2}

Step-by-step explanation:

Given:

From the triangle shown below;

A triangle QRS with angle QRS = 90°, ∠QSR = 30°.

Side QR = 5, SQ = 10 and RS = 5√3

Now, we know from trigonometric ratio that,

\sin (A) = \frac{Opposite\ side}{Hypotenuse}

Here, opposite side of angle QSR is QR and Hypotenuse is the side opposite angle QRS which is SQ. Therefore,

\sin(\angle QSR)=\dfrac{QR}{SQ}\\\\\\\sin(30)=\dfrac{5}{10}\\\\\\\sin(30)=\dfrac{5}{2\times 5}=\dfrac{1}{2}

Therefore, the value of sine of 30° is one-half. So, second option is correct.

6 0
3 years ago
Read 2 more answers
Which equation is equivalent to 10+2(x−1)+7x=3x+1?
Eva8 [605]

Answer:

Answer is x = -7/6

Step-by-step explanation:

please look at the image

8 0
2 years ago
They looked around and then rushed toward each other. A cry of alarm surged through Tompkins Square Park. Was this a fight to th
Igoryamba

Answer:

B is the answer foks thanks for looking

Step-by-step explanation:

They looked around and then rushed toward each other.  A cry of alarm surged through Tompkins Square Park.  Was this a fight to the death instead of a boxing match?

 The fear soon gave way to wave upon wave of cheering as the two amigos embraced.

 No matter what the decision, they knew they would always be champions to each other.

(continued)

Based on the passage, how do the boys resolve their conflict?

They decide to fight to the death.

They decide not to care who the winner is.

They decide to fight a rematch.

They decide to end their friendship.

7 0
3 years ago
Read 2 more answers
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