Answer:
$894
Step-by-step explanation:
0.06 x 500 x 8^1.25 (-9)= 500+ 403 = $903-9= $894
1.25 = 1/8 of 1 (-9)
1=each power.
8th year = $843.75
9th year = $894
Semi annually you can do the same as 16/1 -17
Answer:
Step-by-step explanation:
A would be your answer.
Answer:
23.2%
Step-by-step explanation:
First we need to find how many half lives 135 years is:
135 ÷ 64 = 2.109375
Now we divide 100% by 2 to the power of the number of half lives. This is how you calculate the percentage of the original amount left. If you have the original mass, you can substitute that in instead of 100%:
100 ÷
= 23.1747390635
To 1 decimal place it is 23.2%
This is what you call systems of equations. Basically were the two equations cross on a graph is the solution
You can solve this multiply ways... Graph, table, Substitution, elimination...
I will choose elimination because it is the easiest for how the equations are set up.
So
4x+2y = 200 2x+7y=400
First I take the second equation and multiply it by 2..
2(2x) + 2(7y)= 2(400)
4x+14y=800
Now I can just subtract the two equations
4x+2y = 200
-(4x+14y=800)
____________
-12y=-600
Solve for y
-12y/-12=-600/-12
y=50
Plug back in
4x+2y = 200
4x+2(50)=200
4x+100=200
-100 - 100
4x=100
4x/4=100/4
x=25
(25,50)
To check if you are correct you can use something like desmos (online graphing tool) and see if (25,50) is were the two lines cross.
You can also use substitution if you prefer.
I think the answer is B hope this helps