Answer:
There will be 88.6% of her bone mass remaining when she returns to earth.
Step-by-step explanation:
According to the problem, the astronaut will have 2% less bone mass than at the beginning of that month. So let's say
is her original bone mass. In that case, her bone mass after the first month will be:

on the second month, her bone mass will be:

on the third month, her bone mass will be:

and so on, we can see a pattern here. The formula for her remaining bone mass can be generally written like this:

where n is the number of months, so after 6 months, her remaining bone mass will be:

that 0.886 gives us the percentage as a decimal number. When turned into a percentage we get that:
There will be 88.6% of her bone mass remaining after 6 months.
So he spent 1600 so x will represent original savings so
x-1600
then he spent 2/5 of the remainder on a refrigerator so
[(x-1600)2]/5
he had 1/3 of original savings left
[(x-1600)2]/5=1/3x
distrubute
(2x-3200)/5=1/3x
multiply both sides by 15
3(2x-3200)=5x
distrubute
6x-9600=5x
subtract 5x from both sides
x-9600=0
add 9600 to both sides
x=9600
Answer:

Step-by-step explanation:
First, let's go over the information we have. We know that no matter what, Dr. W Sweet will charge a base fee of $24, and that for each additional mile, he will charge 35¢. Now let's make an equation reflecting this information:
cost = 35¢ (number of miles) + $24 (starting fee)
We can also write this like this:

If you want to test this equation, put in a value for the x variable, like so:
Value: 25 miles

For this situation, the cost will be $32.75. I hope this helps! If you have questions, comment on this response, I should write back reasonably quickly.
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