First account: $6500
Second account: $8500
Set x is amount of money in first account
=> x + 2000 is money in second account.
X*3% + (x+2000)*4% = 535
=> x = (53500 - 8000) / 7
X = 45500 / 7 = 6500
=> account #1 = x = 6500
Acc #2 = x + 2000 = 6500 + 2000 = 8500
Answer:
See explanation
Step-by-step explanation:
Assuming the given polynomial is

We then rewrite in decreasing powers of u, to get:

The leading term is

The leading coefficient is the coefficient of the leading term.
The leading coefficient is -7.
Answer:
The second choice.
Step-by-step explanation:
The length of AC must be equal to 5, since it is horizontally five units. We can rule out the first option.
Length BC cannot be the square root of 16, since that would be exactly 4 units. BC is slanted and does not represent a completely vertical line, so it is not a whole number. We can rule out the fourth option.
Length AB cannot be a whole number, being a slanted line that crosses a total of more than four units. Option three can be ruled out.
Therefore, we are left with the second option.
Answer:
see explanation
Step-by-step explanation:
(43)
3
- 75x³ ← factor out 3x³ from each term
= 3x³(x² - 25) ← this is a difference of squares and factors in general as
a² - b² = (a - b)(a + b) , thus
x² - 25 = x² - 5² = (x - 5)(x + 5)
Thus
3
- 75x³ = 3x³(x - 5)(x + 5)
(44)
81c² + 72c + 16 ← is a perfect square of the form
(ac + b)² = a²c² + 2abc + b²
Compare coefficients of like terms
a² = 81 ⇒ a =
= 9
b² = 16 ⇒ b =
= 4
and 2ab = 2 × 9 × 4 = 72
Thus
81c² + 72c + 16 = (9c + 4)²