Answer:
Step-by-step explanation:
The range is 6 to 10 inches per month; 6 is the least amount of rain, whereas 10 is the most, for these four months.
Find the median by rearranging these four measurements in ascending order: 6 6 8 10. Since four is an even number (of measurements), we find the median by averaging the middle two measurements: (6 + 8) /2 = 7 in.
The mean is found by summing up the four measurements and dividing the result by 4:
6+6+8+10
-------------- = 30/4 = 7.5
4
Draw a histogram as two vertical bars, one of which is 3 units higher than the other. We don't yet know the total number of cats that each boy has, so your markings of your histogram have to be algebraic expressions, for example:
x + 0 for the first vertical bar and x + 3 for the second. Then, clearly, one boy has 3 more cats than does the other.
Corey has 3 more cats than Taylor. Let t represent the number of cats owned by Taylor and c the number by Corey.
Then t = c + 3 (general relationship), and so
6 = c + 3
We must isolate c to determine how many cats corey has.
Subtract 3 from both sides, which results in c = 3. Corey has 3 cats and Taylor has 6.
Answer:
x = 15/14
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
Step 2: Subtract 3x from both sides.
Step 3: Add 6 to both sides.
Step 4: Divide both sides by 7.
Answer:
(a) 6 months
Step-by-step explanation:
The formula for figuring the monthly payment on an amortized loan can be used for finding the length of time it takes to pay off the loan.
That formula is ...
A = P(r/12)/(1 -(1 +r/12)^(-12t))
where A is the monthly payment, P is the principal value of the loan, r is the annual interest rate, and t is the number of years.
__
Using the given information, we can solve for t:
300 = 1568(0.113/12)/(1 -(1 +0.113/12)^(-12t))
1 -(1 +0.113/12)^(-12t) = 1568(0.113)/(12(300))
(1 +0.113/12)^(-12t) = 1 -(1568·0.113)/(12·300) ≈ 0.950782
Taking logs, we get ...
-12t·log(1 +0.113/12) = log(0.950782)
t = log(0.950782)/(-12·log(1 +0.113/12)) ≈ 0.448739 . . . . years
This fraction of a year is ...
(12 months/year)(0.448739 years) = 5.38 months
It will take you 6 months to pay off the loan.
the common ratio is 1/5
the scale factor or start value is 500
Answer is : -7
Reason: 5(-2)=-10
-10+3=-7