Answer:
10¹⁸ ergs
Step-by-step explanation:
From the question,
Using the expression
M = 
log(E/10¹³)................. Equation 1
Where M = Richter magnitude of earth quake, E = Energy released in ergs.
Given: M = 4.0
Substitute into equation 1 amd solve for E
4 = log(E/10¹³)
Log(E/10¹³) = (4×5)/4
Log(E/10¹³) = 5
E/10¹³ = 10⁵
E = 10⁵×10¹³
E = 10⁵⁺¹³
E = 10¹⁸ ergs
$23.34 - 40% will make it $14
Answer:
The correct answer is the linear model would be y = 500x - 390 where x is the number of swords sold in a month and y is the net monthly profit; B. 4.96 ≈ 5 swords monthly.
Step-by-step explanation:
Let x number of swords are sold per month.
Cost price of the swords per month is $ 195x.
Fixed cost to maintain the website per month is $390.
Total cost incurred per month is $ (195x + 390).
Selling price per katana is $695.
Total selling price of x swords per month is $695x.
Therefore, Net monthly profit y =695x - (195x + 390)
⇒ y = 695x - 195x - 390
⇒ y = 500x - 390
Thus the linear model would look like y = 500x - 390 where x is the number of swords sold in a month and y is the net monthly profit.
B. Now, given monthly profit y = $2090.
Thus the number of swords needed to be sold is
2090 = 500x - 390
⇒ 2480 = 500x
⇒ x = 4.96
A minimum of 5 swords need to be sold to get a monthly profit of more than $2090.
Answer:
The teams can be placed in 479,001,600 ways.
Step-by-step explanation:
To solve this question, we want to know in how many ways 12 elements can be arranged.
Number of possible arrangements of x elements:
The number of possible arrangments of x elements is given by:
In this question:
12 teams, so arrangment of 12 elements.
The teams can be placed in 479,001,600 ways.
Answer:
TOTAL TAX IS: $19.25
TOTAL PRICE IS: $294.25
MONEY LEFT IS: $135.75
Step-by-step explanation:
First, you do a proportion:
?/275 = 7/100
the ?/275 represents how much money in $275
the 7/100 represents 7% (7 hundredths)
then you cross multiply:
275 x 7 = 1925
then you divide:
1925 divided by 100 = 19.25
<em><u>So $19.25 is the tax amount.</u></em>
<em><u></u></em>
To get the total price, you add:
Tax ($19.25) + Cost($275) = $294.25
<u><em>$294.25 is the total amount that Anna has to pay.</em></u>
<u><em></em></u>
To get what Anna has left over, you subtract:
Has($430) - Spend($294.25) = $135.75
<u><em>Anna has $135.75 left.</em></u>
<u><em></em></u>
I hope this helped you a lot!
Bri <3
