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Ksenya-84 [330]
3 years ago
13

Split 294x306, which identity is used to solve it?

Mathematics
1 answer:
3241004551 [841]3 years ago
8 0

Answer:

identity :- ( a + b ) ( a - b ) = a² - b ²

Answer :- 89,694

Step-by-step explanation:

Given : 294 × 306

split 294 × 306

294 × 306 = ( 300 - 6 ) × ( 300 + 6 )

Using Identity, ( a + b ) ( a - b ) = a² - b ² :

= ( 300 )² - ( 6 )²

= 90000 - 36

= 89,964

Hence, 294 × 306 = 89,694

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r\approx0.139

1) Since this is a Continuously Compounded operation in a 10 yrs period, then we can write out the following equation:

\begin{gathered} A=Pe^{rt} \\  \end{gathered}

2) Plugging into the equation the given data and since Otto is 20 yrs old and he plans to get $4,000 in ten years, we can write out:

\begin{gathered} 4000=1000e^{\mleft\{10r\mright\}} \\ \frac{4000}{1000}=\frac{1000e^{10r}}{1000} \\ 4=e^{10r} \\ \ln (4)=\ln (e)^{10r} \\ 10r=\ln (4) \\ r=\frac{\ln (4)}{10} \\ r=0.1386 \end{gathered}

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Note that since the 0.1386 the six here is greater than 5 then we can round up to the next thousandth, in this case: 0.139. For the 0.1386 is closer to 0.139 (0.004) than to 0.138 (0.006).

Or 13.9%

8 0
9 months ago
Loretta’s income last year was $81,300. She made $56,800 at her salaried job and had additional passive income. If Loretta earne
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Answer:

Option a.  $2,040

Step-by-step explanation:

step 1

To find out the amount of the additional passive income last year, subtract the amount earned at her salaried job from Loretta’s income last year

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\$81,300-\$56,800=\$24,500

step 2

Divide the additional passive income last year by 12 (number of months in a year)

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2 years ago
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The amount of money Tom has is 75% of Sallys amount of money. After Sally spent $120 and Tom saved all his money Tom's amount of
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Answer: sally initially has $240, Tom initially has $180.

Step-by-step explanation:

Let initial amount of money sally has = x

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0.75x = 1.5x - 180

180 = 0.75x

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Therefore, initial money of sally of sally = $240

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