Answer:
$3007.26
Step-by-step explanation:
Step one:
given data
Principal= $2000
rate= 6%= 0.06
time= 7years
Required:
The final amount A
Step two:
the expression for the compound interest is

substituting we have

Answer:
She can type 225 words in 10 minutes
Step-by-step explanation:
We can find the rate by dividing the number of words by the time
90 words/ 4 minutes
22.5 words per minute
Now to find the number of words in 10 minutes, multiply the rate times the time
22.5 * 10 = 225
She can type 225 words in 10 minutes
Answer:
$3100
Step-by-step explanation:
You can determine this by multiplying 52 by 50, because you get 50 dollars for 52 weeks, then add 500 to it, because you get 500 dollars at first. 52 times 50 is equal to 2600, and 2600 + 500 is equal to 3100. You will receive $3100 over the course of 52 weeks.
Answer:

Step-by-step explanation:
We know two sides and the angle between the sides, so we can use the Law of Cosines. Recall that the Law of Cosines states that:
, where a and b are the sides and C is the angle in between.
Let's substitute 115 for a, 178 for b, and 41 for Angle C.
Thus:




The equation seems to be
1
-------- = 5 ^ (x + 4)
25
In that case, this is the solution, stept by step:
1) factor 25: 25 = 5^2
1
=> ----------- = 5^(x + 4)
5^2
2) invert 5^2
=> 5^(-2) = 5^(x+4)
3) Given that the bases are equal, the exponents also have to be equal:
=> - 2 = x + 4
3) transpose +4:
=> - 2 - 4 = x
=> x = - 6
Answer: - 6