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vivado [14]
3 years ago
7

Solve ln 3 + ln (4x) = 4 round your answer to the nearest hundredth

Mathematics
2 answers:
Drupady [299]3 years ago
3 0
Rewrite the equation in exponential form, use the definition of a log and then simplify and you should get x= e^4/12 or 4.55
Nataly [62]3 years ago
3 0

Answer:

x = 4.55.

Step-by-step explanation:

Given : ln 3 + ln (4x) = 4.

To find : Solve round your answer to the nearest hundredth.

Solution : We have given that  

ln 3 + ln (4x) = 4.

By the logarithm rule : ln a + ln b = ln (ab).

Then,

ln 3 + ln (4x) = ln (3 * 4x )

ln 3 + ln (4x) = ln (12 x )

Then ,

ln (12 x ) = 4

Taking exponential both side

12x = e^{4}.

12 x = 54.59.

12 x = 54 .59

On dividing by 12 both sides

x = 4.55.

Therefore, x = 4.55.

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Lixins monthly income consists of a basic salary of $500 and a commission of 4percent on her sales for the month.If her income i
Harman [31]

Answer:

Lixins monthly sales = $18,000

Step-by-step explanation:

Let x be the total sales.

Given:

Basic salary = $500

Commission on sales = 4% = 0.04

Monthly income = $1220

We need to find her sales for the month.

Solution:

First we write the equation for given situation:

Total\ sales = Basic\ Salary + 0.04(Total\ sales)

S = 500 + 0.04x

1200=500+0.04x

0.04x=1220-500

0.04x=720

x = \frac{720}{0.04}

x = \$18,000

Therefore, Lixins monthly sales are $18,000.

8 0
3 years ago
Help plz... Davidmedulla... I mean you in particular
kap26 [50]

Answer:

1. 2x

2. 22

Step-by-step explanation:

question 1

f(x)-g(x)

5x-3-(3x-3)

5x-3-3x+3

5x-3x-3+3

2x+0

2x

question 2

f(x)=y

f(-4)= -5(-4)+ (-4/-2)

= 20 + 2

=22

5 0
3 years ago
I need help with this questions 2 3 p + 4 3 p – 1 3 p
erastovalidia [21]
Let's simplify step-by-step.
23
p
+
43
p
−
13
p
=
23
p
+
43
p
+
−
13
p
Combine Like Terms:
=
23
p
+
43
p
+
−
13
p
=
(
23
p
+
43
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+
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Answer:
3 0
3 years ago
A car braked with a constant deceleration of 64 ft/s2, producing skid marks measuring 50 ft before coming to a stop. How fast wa
vitfil [10]

Answer:

The initial speed of the car was 80 ft/s.

Step-by-step explanation:

The deceleration is the rate at which the car speed decreases. In this case the speed of the car goes all the way down to 0 ft/s and in order to do that it travelled 50 ft.  So we will call the initial speed at which the car started to brake "v_0" and use Torricelli's equation to find it. The equation is given by:

v^2 = (v_0)^2 + 2*a*S

Where v is the final speed, v_0 is the initial speed, a is the rate of acceleration and S is the space travelled. Using the values that the problem gave to us we have:

0^2 = (v_0)^2 - 2*64*50

0 = (v_0)^2 - 6400

(v_0)^2 = 6400

v_0 = sqrt(6400) = 80 ft/s

Notice that in this case "a" was negative, since the car was decelerating instead of accelerating.

The initial speed of the car was 80 ft/s.

4 0
3 years ago
Read 2 more answers
Show that cos 30 degree + sin 60 degree / 1+ sin 30 degree + cos 60 degree is equal to cos 30 degree​
Soloha48 [4]

Answer:

cos 30

Step-by-step explanation:

cos 30 + sin 60 / 1+ sin 30 + cos 60

= root3 / 2 + root3/2 / 1 + 1/2 + 1/2

= root 6/2 by 4/2

= root 6/4

= root 3/2

= cos 30

5 0
3 years ago
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