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
That would be 2.88 because you couldn't round because of the fact that it's money that's like saying I have $100.99 and I wouldn't round to 101
Answer:
The present value of the fund=$25,939.66
Step-by-step explanation:
Step 1
Determine the future value of the fund as shown;
Future value(F.V)=payment amounts per year×number of years
where;
payment amounts per year=$10,000
number of years=6
replacing;
Future value (F.V)=(10,000×6)=60,000
Future value (F.V)=$60,000
Step 2
Determine the present value (P.V) of the fund as shown;
F.V=P.V(1+r)^n
where;
F.V=future value
P.V=present value
r=annual interest rate
n=number of years
In our case;
F.V=$60,000
P.V=unknown
r=15%=15/100=0.15
n=6
replacing;
60,000=P.V(1+0.15)^6
60,000=P.V(1.15)^6
P.V=60,000/{(1.15)^6}
P.V=25,939.66
The present value of the fund=$25,939.66
a: Answer is cuboid
b: top & base will be 5*6 = 30 in ^2
both right & left side wil be 5*2 = 10 in^2
front & back will be 6*2 = 12 in^2
Hope that will help you :)
We can use elimination for these set of systems.
First, we need to set up our variables.
Belts=b
Hats=h
Now, the situation is 6 belts and 8 hats for $140. The situation after is 9 belts and 6 hats for $132.
Let’s set up our system of equations.
6b+8h=140
9b+6h=132
We need to eliminate a variable. Since b has coefficients of 6 and 9, we can easily eliminate b by multiplying the top equation by 3 and the bottom by -2.
18b+24h=420
-18b-12h=-264
Now let’s add.
12h=156
Let’s divide to get h by itself.
156/12=13=h
So a hat costs $13. We need to put in 13 for one of the equations so we can find the cost of a belt.
9b+6(13)=132
9b+78=132
We need b by itself.
9b=54
54/9=6
Belts are $6
We can also use the first equation to check our answers.
6(6)+8(13)
36+104
140.
So, the price of a belt is $6 while the price of a hat is $13.
