If she went 10 miles upstream in the same time as she went 20 miles downstream, that means the downstream speed is twice the upstream speed.
The speed is still water is 9 mph.
The speed of the current is c.
Going downstream, the current adds speed, so the sped downstream is 9 + c.
The speed upstream is 9 - c.
9 + c is twice 9 - c.
9 + c = 2(9 - c)
9 + c = 18 - 2c
3c = 9
c = 3
Answer: The speed of the current is 3 mph.
Check:
9 + c = 12
9 - c = 6
By taking into the account the speed of the current, the downstream speed, 12 mph, is indeed twice the upstream sped, 6 mph.
Answer:
g(4) = -5, h(8)= 8, f(-2)= -7, g(-2)= 7
Step-by-step explanation:
It's pretty simple. The number in the parenthesis is the value of x.
Therefore, you look at the table, find the required function and the value of x that is given.
The number that is in the answers is the value of y.
Step-by-step explanation:
follow the above attachment.
hope this helps you.
Answer:
Part a)
Part b)
Part c)
Step-by-step explanation:
<u><em>The complete question is</em></u>
If $10,000 is invested at an interest rate of 10% per year, compounded semiannually, find the value of the investment after the given number of years. (Round your answers to the nearest cent.)
a)6 years
b)12 years
c)18 years
we know that
The compound interest formula is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
Part a) 6 years
we have
substitute in the formula above
Part b) 12 years
we have
substitute in the formula above
Part c) 18 years
we have
substitute in the formula above