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4 years ago

Which is 5logx - 6log(x-8) written as a single logarithm?

Mathematics

2 answers:

ira [324]4 years ago

6 0

Answer:

option a

$log\frac{x^{5} }{(x-8)^{6} }$

Step-by-step explanation:

Given in the question an expression

5logx - 6log(x-6)

To solve this question we will apply two of the logarithm property

1) power rule

alogx = log $x^{n}$

log $x^{5}$ - log $(x-8)^{6}$

2) substraction rule

The log of a quotient is the difference of the logs

loga (x/y) = loga x - loga y

$logx^{5}- log(x-8)^{6}$

log $\frac{x^{5} }{(x-8)^{6} }$

Alecsey [184]4 years ago

4 0

Answer:

a edge

Step-by-step explanation:

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David borrowed $120,000 for his business to be repaid in six equal annual installment. The lender charges 6.5 percent interest o

seropon [69]

Answer:

Interest will be the smallest at the sixth instalment which is $859.2033.

Step-by-step explanation:

Amount borrowed: $120,000

Instalments: 6

Amount paid each year: 120,000/6 = $20,000

Interest: 6.5%

Formula to calculate each instalment = yearly instalment+(amount borrowed * interest)

Formula to calculate outstanding amount = Amount borrowed - previous instalment

First instalment: 20,000 + (120,000 x 6.5%) = $ 27,800

Outstanding amount = 120,000-27800 = $112,200

Second instalment: 20,000 + (112,200 x 6.5%) = $27,293

Outstanding amount = 112,200-27,293 = $84,907

Third instalment: 20,000 + (84,907 x 6.5%) = $25,518.955

Outstanding amount = 84,907-25518.955 = $59,389

Fourth instalment: 20,000 + (59,388.045 x 6.5%) = $23,860.223

Outstanding amount = 59,388.045-23,860.223 = $35527.822

Fifth instalment: 20,000 + (35,527.822 x 6.5%) = $22309.30843

Outstanding amount: 35,527.822-22309.30843 = $13218.51357

Sixth instalment: 20,000 + (13218.51357 x 6.5%) = $20,859.2033

Interest will be the smallest at the sixth instalment which is $859.2033.

5 0

4 years ago

The APR of Burt's savings account is 2.5%, but interest is compounded only

ludmilkaskok [199]

Annual Percentage Yield (APY) of Burt's savings account is 2.5%

Step-by-step explanation:

Annual percentage rate refers to the annual percentage return of the saving account held by Burt's. The interest rate is compounded annually. Hence, the interest is added annually to the account.

Annual Percentage yield refers to the real rate of return that is earned on the savings. This interest is accrued in compounding fashion. Higher the interest rate more is the amount returned.

Hence, the Annual Yield of the Burt's savings account is 2.5%

6 0

3 years ago

If the points (2,3) and (5,y) lie on a line whose slope is -7/6, what does y equal

nlexa [21]

Answer:

Step-by-step explanation:

\ $\frac{y-3}{5-2}=\frac{-7}{6} \\y-3=\frac{-7}{6} *3\\y=-\frac{7}{2}+3=-\frac{1}{2}$

4 0

3 years ago

Math! Need help will give brainliest if CORRECT

SOVA2 [1]

Hey there! I'm happy to help!

So we want to see which of these have the greatest value. Since these are all negative numbers, we want the one that is closest to zero.

So, we know that -1000 is going to furthest from 0. -10 will be further than -8 since it is a larger negative number, so it will be more negative than -8.

-1/2 is just barely negative, so it is going to be closer to -0 than -8, so the correct answer is C. -1/2.

Have a wonderful day and keep on learning! :D

3 0

3 years ago

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I need with turning 274% into a decimal

Olenka [21]

274%
= 274/100
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The final answer is 2.74~

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4 years ago

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