Answer: B
Step-by-step explanation:
<u>3</u> x 4 = <u>12</u><u>
</u>5 x 4 = <u />20
Since 5 times 4 is 20, then you must also multiply 3 by 4 because what you do to one part of the fraction you must do to the other.<u>
</u>
Answer:
fourth and fifth
Step-by-step explanation:
If George gets a 20% raise, that means he will now earn
$445 + $445*20% = $445 + $445*0.2 = $445*1 + $445*0.2 = $445*(1 + 0.2) = $445 * 1.2
So we know the fourth is correct.
We also know that current pay is 100% of current pay and the new pay will be 120% of current pay, so x/455 must be equal to 120% / 100% which is equal to 120/100, so fifth is correct too.
Answer:
See the explanation
Step-by-step explanation:
We know that
f(x) = 2x⁶ + 3x⁴ - 4x³ + (1/x) - sin2x
Lets calculate the derivatives:
f'(x) = 6(2x⁵) + 4(3x³) - 3(4x²) -( 1/x²) - 2(cos2x)
f'(x) = 12x⁵ + 12x³ - 12x² - (1/x²) - 2cos2x
Similarly:
f''(x) = 60x⁴ + 36x² - 24x + (2/x³) + 4sin2x
f'''(x) = 240x³ + 72x - 24 - (6/x⁴) + 8cos2x
Rearrange:
f'''(x) - 240x³ +72x - (6/x⁴) + 8cos2x - 24
f''''(x) = 720x² + 72 + (24/x⁵) - 16sin2x
Rearrange:
f''''(x) = 720x² + (24/x⁵) - 16sin2x +72
Answer:
$12,500
Step-by-step explanation:
I got this answer by first taking the purchase price of the car and multiplying it by .10 to see what ten percent of the price was and I got $2,500. Then I took and multiplied 2,500 by 5 years and go 12,500. Then I subtracted 12,500 from the original purchase price to get $12,500. Meaning that the value of the care has decreased by half of the purchase price.
HOPE THIS HELPS!