Answer:
Step-by-step explanation:
Given that,
The value of 
We need to find an expression for 
. To find it, put the value of n as (n-1). So,
Hence, the value of S(n-1) is equal to 
.
The correct answer is: [D]: " 4x² − 12x − 4 " .
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Explanation:
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Given:
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" (16x² − 16) + ( -12x² − 12x + 12) " ; Simplify.
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Note the "distributive property of multiplication:
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a(b + c) = ab + ac ;
a(b − c) = ab − ac .
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So we can rewrite the expression as:
" (16x² − 16) + 1( -12x² − 12x + 12) " ;
{The "1" is implied; since "1", multiplied by any value, results in the exact same value.}.
Let us examine the following part of the expression:
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" + 1 ( -12x² − 12x + 12 ) " ;
Using the distributive property of multiplication:
" + 1 ( -12x² − 12x + 12 ) = (1 * -12x²) − (1 * 12x) + (1 * 12) ;
= " − 12x² − 12x + 12 " ;
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Now, bring down the other part of the expression; & rewrite:
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→ " (16x² − 16) − 12x² − 12x + 12 " ;
→ " 16x² − 16 − 12x² − 12x + 12 " ;
Now, combine the "like terms" :
+ 16x² − 12x² = 4x² ;
− 16 + 12 = -4 ;
and we have " − 12x" ;
So we can rewrite the expression as:
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→ " 4x² − 12x − 4 " ;
→ which is: "Answer choice: [D]: " 4x² − 12x − 4 <span>" .
</span>_______________________________________________________
-5 will be your answer. Hope this helps!
Answer:
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Answer:
a) $3480
b) $4036.8
Step-by-step explanation:
The compound interest formula is given by:
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
Suppose that $3000 is placed in an account that pays 16% interest compounded each year.
This means, respectively, that 
So
(a) Find the amount in the account at the end of 1 year.
This is A(1).
(b) Find the amount in the account at the end of 2 years.
This is A(2).
