Answer:
"She invested $2500 in 5% account and $5500 in 8% account"
Step-by-step explanation:
Let the amount invested in 5% account be "x"
So, the amount invested in 8% account would be "8000 - x"
Interest amount is the percentage multiplied by amount invested. So
Interest of 5% account = 5% of x = 0.05x
Interest of 8% account = 8 % of 8000 - x = 0.08(8000 - x)
Total interest is the sum of these 2 expressions that EQUATES to 565 (given). Let's solve for x:
and thus,
"8000 - x" = 8000 - 2500 = 5500
Hence,
She invested $2500 in 5% account and $5500 in 8% account
Answer:
0.1 atoms
Step-by-step explanation:
Typically, there is 0.1 atoms in each cubic centimeter of interstellar wind, and 10 ions in each cubic centimeter of solar wind (versus surface air which contains 3 x 10^19 molecules per cc). This means there is a great deal of dead space between the very tiny particles and collisions are rare.
Answer:
60, and m = 30, and 1 min 20.
Step-by-step explanation:
For A, the 60 is the starting point meaning that the temperature was intitally 60 degrees
For B, if we divided both sides by 2 we get the answer m = 30, meaning every minute, it was up 30 degrees.
For C, we know that in one minute it will be 90 degrees, so 60 seconds = 30 degrees. So lets divided both sides by 3 to get 10 degrees. We get 20 seconds. It will take 1 min and 20 for it to be 100 degrees.
Hopefully thats right.
Answer:
See below.
Step-by-step explanation:
So we want to prove that:
First, simplify √8. This is the same as:
Therefore, our equation is now:
Combine like terms on the left:
The square root of something is the same as taking that number to the one-half power. Thus:
Rewrite:
And we're done!
