Answer:
C. P= 1000M
Step-by-step explanation:
Using the quotient rule of logs we can write:
log(M) - log(N) = 4
or
log(M) - 4 = log(N) (Equation 1)
Using the quotient rule of logs we can write:
log(P) - log(N) = 7
or
log(P) - 7 = log(N) (Equation 2)
Comparing equation 1 and 2, we can write:
log(M) - 4 = log(P) - 7
-4 + 7 = log(P) - log(M)
log(P) - log(M) = 3
Converting the log to exponential form we get:
Thus, option C gives the correct answer.
Answer:
c
Step-by-step explanation:
Answer:
Step-by-step explanation:
So, yearly $2100 is paid, plus the 1.73% interest, so 1.73% interest is $2136.33every year interest stacks on itself so youll take 1.73% of the year 1 total with interest.
Year 1 total: $2136.33
Year 2 total:$2173.29
Year 3 total:$2210.89
Year 4 total:$2249.14
Year 5 total:$2288.05
Total Paid After 5 years:$11057.70
Year 1 total interest:$36.33
Year 2 total interest:$36.96Year 3 total interest:$37.60Year 4 total interest:$38.25Year 5 total interest:$38.91
Total Interest paid after 5 years:$188.05
3. This was spun 50 times, and it landed on yellow 6 times. Therefore, it won't land on yellow all but 6 times. P(not yellow) is 44/50, or 22/25.
4. If 50 students are asked, and 7 have a dog, then the probability is 7/50. We can use a proportion to find the equivalent of 7/50 with a denominator of 1400, because that is how many people are at the school. 7/50=x/1400. 50x=9800. x=196
Let width = x
Let length = 2x + 11
Area = 63 ft2
length × width = Area
x(2x + 11) = 63
2x2 + 11x = 63
Subtract 63 on both sides of equation.
2x2 + 11x - 63 = 0
Factor the left side of equation.
(2x - 7)(x + 9) = 0
x = 7/2 and x = -9
Since the dimensions cannot be negative, we accept the positive value of x: x=7/2. Substitute this value of x into the dimensions
width = 3.5 ft
length = 2(3.5) + 11 = 7 + 11 = 18 ft