Answer:
![\boxed{ \bold{ \huge{ \boxed{ \sf{ \: 14.25 \: \% \: }}}}}](https://tex.z-dn.net/?f=%20%5Cboxed%7B%20%5Cbold%7B%20%5Chuge%7B%20%20%5Cboxed%7B%20%5Csf%7B%20%5C%3A%2014.25%20%5C%3A%20%5C%25%20%5C%3A%20%7D%7D%7D%7D%7D)
Step-by-step explanation:
Given,
Principal ( P ) = $ 6000
Amount ( A ) = $ 14550
Time ( T ) = 10 years
Rate ( R ) = ?
<u>Finding </u><u>the </u><u>Interest</u>
The sum of principal and interest is called an amount.
From the definition,
![\boxed{ \sf{Amount = \: Principal + Interest}}](https://tex.z-dn.net/?f=%20%20%5Cboxed%7B%20%5Csf%7BAmount%20%3D%20%20%5C%3A%20Principal%20%2B%20Interest%7D%7D)
plug the values
⇒![\sf{14550 = 6000 + Interest}](https://tex.z-dn.net/?f=%20%5Csf%7B14550%20%3D%206000%20%2B%20Interest%7D)
Swap the sides of the equation
⇒![\sf{6000 + Interest = 14550}](https://tex.z-dn.net/?f=%20%5Csf%7B6000%20%2B%20Interest%20%3D%2014550%7D)
Move 6000 to right hand side and change its sign
⇒![\sf{Interest = 14550 - 6000}](https://tex.z-dn.net/?f=%20%5Csf%7BInterest%20%3D%2014550%20-%206000%7D)
Subtract 6000 from 14550
⇒![\sf{Interest = \: 8550 \: }](https://tex.z-dn.net/?f=%20%5Csf%7BInterest%20%3D%20%5C%3A%208550%20%5C%3A%20%7D)
Interest = $ 8550
<u>Finding </u><u>the </u><u>rate </u>
![{ \boxed{ \sf{Rate = \frac{Interest \times 100}{Principal \times Time}}}}](https://tex.z-dn.net/?f=%20%20%7B%20%5Cboxed%7B%20%5Csf%7BRate%20%3D%20%20%5Cfrac%7BInterest%20%5Ctimes%20100%7D%7BPrincipal%20%5Ctimes%20Time%7D%7D%7D%7D%20)
plug the values
⇒![\sf{ Rate = \frac{8550 \times 100}{6000 \times 10} }](https://tex.z-dn.net/?f=%20%5Csf%7B%20Rate%20%3D%20%5Cfrac%7B8550%20%20%5Ctimes%20100%7D%7B6000%20%5Ctimes%2010%7D%20%7D)
Calculate
⇒![\sf{Rate = \frac{855000}{60000} }](https://tex.z-dn.net/?f=%20%5Csf%7BRate%20%3D%20%20%5Cfrac%7B855000%7D%7B60000%7D%20%7D)
⇒![\sf{Rate = 14.25 \: \% \: }](https://tex.z-dn.net/?f=%20%5Csf%7BRate%20%3D%2014.25%20%5C%3A%20%5C%25%20%5C%3A%20%7D)
Hope I helped!
Best regards!!
The given expression is
![f(x) = \frac{3(x+2}{(x+2)(x+6)}](https://tex.z-dn.net/?f=%20f%28x%29%20%3D%20%5Cfrac%7B3%28x%2B2%7D%7B%28x%2B2%29%28x%2B6%29%7D%20)
And since we have x+2 common in numerator and denominator, there is a hole at x+2=0, that is at x=-2
And a function is undefined when denominator is zero. And at x=-6, denominator become zero.
So, at x=-6, the function is undefined, or there is a vertical asymptote at x=-6 and hole at x=-2 .
1 gallon= 8.345 pounds
11.81 gallons= ? Ibs
11.81*8.345= 98.5 Ibs (99)
<em>Denote x2 by y.
</em>
<em> </em>
<em>(x2-3)7=(y-3)7
</em>
<em> </em>
<em>This is a binomial expansion in y, and you want the coefficient of y4 because y4=x8
</em>
<em> </em>
<em>You have 7 terms of (y-3) in (y-3)7. To get the fourth power of y, you need to choose y from four of the terms. The number of ways you can do this is the combinations of 7 things taken 4 at a time. This is:
</em>
<em> </em>
<em>7!/(4!3!)=35</em>
<em />
<em>So, the coefficient of x8 in the given expansion will be 210.</em>
<em>HOPE IT HELPS</em>
<em>THANK YOU </em>
Answer:
(17+4)/21. as denominators are same
21/21
1