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N76 [4]
3 years ago
13

Solve 3 ^ x + 6 = 3 ^ 4

Mathematics
1 answer:
aleksklad [387]3 years ago
8 0

Answer:

3.93 (approx.)

Step-by-step explanation:

3 ^ x + 6 = 3 ^ 4 can be rewritten as 3 ^ x  = 3 ^ 4  -   6, or

3^x = 81 - 6  =  75.

Then 3^x = 75, or

x*ln 3 = ln 75

Solving for x:  

x = (ln 75) / (ln 3) = 3.93 (approx.)

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the length of a rectangle is 2ft more than twice the width. The area is 180 ft^2. find the length and width of the rectangle
Mariana [72]

Answer:

Area = length * width

 

112 = (2w+2)*w

 

112 = 2w^2 + 2w

 

0 =2w^2 + 2w - 112

 

0 = w^2 + w - 56

 

0 = (  w  +  8  )( w  -    7  )

 

w+8=0  results in negative measures

 

w-7=0 --> w = 7

 

width is 7

length is 16

3 0
2 years ago
The percent discout is 30% and the sale price is 42% what is the original price
statuscvo [17]

Answer: 54.6

Step-by-step explanation: 42 x 30% = 12.6 ( tax ) then 12.6 + 42 = 54.6

5 0
3 years ago
The future value of a certain money market account with a fixed interest rate of
rosijanka [135]

Answer:

D = $8637.45

Step-by-step explanation:

Rate = 3.65% = 0.0365

Principal = 5000

Time (t) = 15 years

N = 12 (since its compounded monthly)

Compound interest (A) = P(1 + r/n)^nt

A = 5000(1 + 0.0365 / 12)^15*12

A = 5000(1 + 0.00304)¹⁸⁰

A = 5000(1.00304)¹⁸⁰

A = 5000 * 1.7269

A = 8634.86

The investment would worth $8634.86

Note: the final answer may vary slightly from the answer in the options due to ± from approximation

3 0
3 years ago
Can a -150/10 be classified as both a rational number and a integer
irakobra [83]
Yes! This is because -150/10 can be simplified to be -15, which is a rational number.

The word “rational” sounds like another math word you’ve heard of before. Do you know what it is?

Well, it’s “ratio”!! Ratios can be seen in the forms x:y and x/y.


ANY RATIONAL NUMBER HAS THE ABILITY TO BE WRITTEN AS A RATIO!! This will completely exclude numbers with super long decimal points (ex: 1.2345678809928374737272828...)

This number also meets the requirements of being an integer. An integer is any whole number (this excludes decimals and fractions)

I know it’s written as a fraction. However, the fraction could be simplified, making it -15, which means this is both a rational number and an integer!!
6 0
3 years ago
Need answer ASAP!<br><br> True of false: (x−6) is a factor of 4x3−18x2+3x−13.<br><br> True of False
Fantom [35]

Answer:

If you mean 4x to the power of 3 - 18x to the power of 2 +3x -13 then the answer is false

8 0
3 years ago
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