ln 5
e = ?
x
Keep in mind that y=e and y = ln x are inverse functions of one another.
ln 5
e , we can drop both the "e" and the "ln 5." We are left with 5 (answer).
ln 5
Alternatively, we could take the ln of both sides of y = e
which will result in ln y = (ln 5) ln e. Note that ln e = 1 (these two functions are inverses of one another).
Then we are left with ln y = ln 5. Dropping the "ln" operator from both sides,
y=5 (same as before).
Since the constant has been moved to the left side, you can move on to the next step which is adding (b/2)² to both sides of the equation.
h² + 14h + (14/2)² = -31 + (14/2)²
Simplify the parenthesis and exponent.
h² + 14h + 7² = -31 + 7²
h² + 14h + 49 = -31 + 49
h² + 14h + 49 = 18
Factor the expression of the left.
(h + 7)(h + 7) = 18
Take the square root of both sides.
√(h + 7)(h + 7) = ± √9 • 2
(h + 7) = ± 3√2
h + 7 = ± 3√2
Subtract 7 from both sides.
You solutions are:
h = -7 + 3√2 → -2.7573 → -2.76
h = -7 - 3√2 → -11.2426 → -11.24
Answer:
$4
Step-by-step explanation:
Let us assume that Pete and Teegan each put an amount of $P in a new bank account.
Teegan's account earns 2.75% simple interest and she earned $2.20 in interest after one year.
P = $80
Now, this $80 in Pete's account earns 5% simple interest.
Then after one year Pete will earn as interest 80x5/100 = 4 Dollars.
Therefore your answer is $4.
56. and 1.6^4
.....................
Expand the binomial first, then distribute the 4:
4 (<em>x</em> + 1)² = 4 (<em>x</em> ² + 2<em>x</em> + 1)
… = 4•<em>x</em> ² + 4•2<em>x</em> + 4•1
… = 4<em>x</em> ² + 8<em>x</em> + 4
