The digits in the ten-thousands place is 10,000 times the value of a digit, right? For example, 10,000 is 10,000 times 1, and one is a mere digit. The thousands place follows the same rule, with 1,000 being 1,000 times 1. Ergo, when compared, you could think of it as 10,000/1,000 = 10. We can think of this as a digit in the ten-thousands place is 10 times the value of the same digit in the thousands place.
Using a calculator I put 1,284/26=49.384615385. Rounded to tenth: 49.4 :)
The first thing thing you must do is create an equation for this problem. Remembering that 7.75% = 0.0775
($4,100 × 0.0775 + $4,100 ) + $600
Now, all you have to do is solve it. You will first have to start with the numbers in the parenthesis using the order of operation (PEMDAS).
P = Parenthesis
E = Exponent
M = Multiplication
D = Division
A = Addition
S = Subrtaction
$4,100 × 0.0775 + $4,100 ) + $600
$4,417. 75 + $4,100 + $600
$4,417. 75 + $600 = $5,017.75
Danielle made $5,017. 17 last week.
I hope this helps! :)
<span><span> 15x2y2+3x3y+75x4</span> </span>Final result :<span> 3x2 • (25x2 + xy + 5y2)
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Step by step solution :<span>Step 1 :</span><span>Equation at the end of step 1 :</span><span><span> (((15•(x2))•(y2))+((3•(x3))•y))+(3•52x4)
</span><span> Step 2 :</span></span><span>Equation at the end of step 2 :</span><span><span> (((15•(x2))•(y2))+(3x3•y))+(3•52x4)
</span><span> Step 3 :</span></span><span>Equation at the end of step 3 :</span><span> (((3•5x2) • y2) + 3x3y) + (3•52x4)
</span><span>Step 4 :</span><span>Step 5 :</span>Pulling out like terms :
<span> 5.1 </span> Pull out like factors :
<span> 75x4 + 3x3y + 15x2y2</span> = <span> 3x2 • (25x2 + xy + 5y2)</span>
Trying to factor a multi variable polynomial :
<span> 5.2 </span> Factoring <span> 25x2 + xy + 5y2</span>
Try to factor this multi-variable trinomial using trial and error<span>
</span>Factorization fails
Final result :<span> 3x2 • (25x2 + xy + 5y2)
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