Answer:
B
Step-by-step explanation:
The point or points where a graph cuts the x axis can be found if you solve the equation f(x) = 0.
![3 log(x + 5) - 2 = 0 \\ 3 log(x + 5) = 2 \\ log(x + 5) = \frac{2}{3} \\ {10}^{ log(x + 5) } = {10}^{ \frac{2}{3} } \\ x + 5 = {10}^{ \frac{2}{3} } \\ x = {10}^{ \frac{2}{3} } - 5](https://tex.z-dn.net/?f=3%20log%28x%20%2B%205%29%20%20-%202%20%3D%200%20%5C%5C%203%20log%28x%20%2B%205%29%20%20%3D%202%20%5C%5C%20%20log%28x%20%2B%205%29%20%20%3D%20%20%5Cfrac%7B2%7D%7B3%7D%20%20%5C%5C%20%20%7B10%7D%5E%7B%20log%28x%20%2B%205%29%20%7D%20%20%3D%20%20%7B10%7D%5E%7B%20%5Cfrac%7B2%7D%7B3%7D%20%7D%20%20%5C%5C%20x%20%20%2B%205%20%3D%20%20%7B10%7D%5E%7B%20%5Cfrac%7B2%7D%7B3%7D%20%7D%20%20%5C%5C%20x%20%3D%20%20%7B10%7D%5E%7B%20%5Cfrac%7B2%7D%7B3%7D%20%7D%20%20-%205)
Substitute x with 7, than simplify with PENDAS.
The budget is $44000
Total spent so far is $10000 + $8500 = $18500
The amount left to spend = 44000 - 18500 = $25500
$25500 is the maximum 6% commission that Lastima Nelson Inc. can spend and stays within the budget
Let the maximum price of the home be
![x](https://tex.z-dn.net/?f=x)
This value of
![x](https://tex.z-dn.net/?f=x)
will be the 100% before the 6% commission is calculated of it.
6% of
![x](https://tex.z-dn.net/?f=x)
is 25500
1% of
![x](https://tex.z-dn.net/?f=x)
is 25500 ÷ 6 = $4250
100% of
![x](https://tex.z-dn.net/?f=x)
is 4250 × 100 = $425,000
So, the maximum value of the home is $425,000
Answer:
Correct option is (c). 0.343
Step-by-step explanation:
The coin used to decide which team will receive the choice of kicking or receiving is biased.
The probability of Heads for this biased coin is, P (H) = 0.70.
Then the probability of Tails is, P (T) = 1 - 0.70 = 0.30.
A team always guesses Tails.
Compute the probability that they will lose the coin toss 3 games in a row, i.e. the toss result was Heads for 3 tosses, as follows:
P (A team losses the toss 3 times in a row) = [P (H)]³
![=(0.70)^{3}\\=0.343](https://tex.z-dn.net/?f=%3D%280.70%29%5E%7B3%7D%5C%5C%3D0.343)
Thus, the probability that the team will lose the coin toss 3 games in a row is 0.343.
The correct option is (c).