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igor_vitrenko [27]
3 years ago
13

 log6 (x+1)− log6 x =log6 29 

Mathematics
2 answers:
Sholpan [36]3 years ago
5 0
log_6(x+1)-log_6x=log_629;\ D:x+1 > 0\ \wedge\ x > 0\Rightarrow x\in\mathbb{R^+}\\\\log_6\frac{x+1}{x}=log_629\iff\frac{x+1}{x}=29\\\\29x=x+1\\\\29x-x=1\\\\28x=1\ \ \ \ /:28\\\\x=\frac{1}{28}\in D\leftarrow solution
Marina86 [1]3 years ago
5 0
D:x+1>0 \wedge x>0\\
D:x>-1 \wedge x>0\\
D:x>0\\
\log_6(x+1)-\log_6 x=\log_6 29\\
\log_6(x+1)=\log_6 29+\log_6x\\
\log_6(x+1)=\log_6 29x\\
x+1=29x\\
28x=1\\
x=\frac{1}{28}
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find the present value of an investment that is worth $19,513.75 after earning 3percent simple interest for 5.5 years
Dahasolnce [82]

Answer:

present value = $16750

Step-by-step explanation:

The simple interest formula allows us to calculate A, which is the final amount. According to this formula, the amount is given by A = P (1 + r*t), where P is the principal, r is the annual interest rate in decimal form, and t is the loan period expressed in years

simple interest formula:

t: time

P: present value

A: amount

r : anual interest

A = P (1 + r*t)

P = A / (1 + r*t)

P = 19,513.75 / (1 + 3/100 * 5.5)

P = 19,513.75/ (1 + 0.165)

P = 19,513.75 / 1.165

P = 16750

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4 years ago
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nikdorinn [45]

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The nth term in a sequence is 2n -6 work out the first three terms
Nata [24]

Answer:

The first three terms in the sequence are -4, -2, 0

Step-by-step explanation:

In any sequence n represents the position of the term in the sequence

<u><em>Examples:</em></u>

First term ⇒ n = 1

Second term ⇒ n = 2

Fifth term ⇒ n = 5

Let us solve our question

∵ The rule of the nth term is an = 2n - 6

→ We need to find the first three terms, means n = 1, 2, 3

∵ n = 1

∴ a1 = 2(1) - 6

∴ a1 = 2 - 6

∴ a1 = -4

∴ The first term is -4

∵ n = 2

∴ a2 = 2(2) - 6

∴ a2 = 4 - 6

∴ a2 = -2

∴ The second term is -2

∵ n = 3

∴ a3 = 2(3) - 6

∴ a3 = 6 - 6

∴ a3 = 0

∴ The third term is 0

The first three terms in the sequence are -4, -2, 0

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3 years ago
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<h2>The power of 5 is 9, which is an odd number. Therefore, it is not a square number or a perfect square.</h2>

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