Answer:
Hence it will take 35hours
Step-by-step explanation:
Let the time it took to dig hole be x
Ley the number of holes be n
Using the relationship x = kn (direct relationship)
if it takes 3 men 5 hours to dig 12 holes, hence;
when x = 5, n = 12
k = x/n
k = 5/12
To get how many hours it take for 3 men to dig 84 holes, then;
when n = 84, x = ?
x = 5/12 * 84
x = 5 * 7
x = 35hours
Hence it will take 35hours
Answer:
P' = (4, 4)
Step-by-step explanation:
T(x, y) is a function of x and y. Put the x- and y-values of point P into the translation formula and do the arithmetic.
P' = T(8, -3) = (8 -4, -3 +7) = (4, 4)
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<em>Comment on notation</em>
The notation can be a little confusing, as the same form is used to mean different things. Here, P(8, -3) means <em>point P</em> has coordinates x=8, y=-3. The same form is used to define the translation function:
T(x, y) = (x -4, y+7)
In this case, T(x, y) is not point T, but is <em>a function named T</em> (for "translation function") that takes arguments x and y and gives a coordinate pair as a result.
Answer:
The answer is 1,980
Step-by-step explanation:
660*3= 1980
Answer:
18 years
Step-by-step explanation:
The formula for computing accrued amount A for a principal of P at an interest rate of r(in decimal) compounded n times in a year for t years is given by
Note that r is percentage converted to decimal. So 3% = 3/100 = 0.03
We can rearrange the above equation to:
Taking logs on both sides
This gives
In this particular problem, n = 4, , A= 9600, P = 5600, r =0.03, so r/n = 0.03/4 = 0.0075
1 + r/n = 1+0.0075 = 1.0075
4t = log(9600/5600)/log(1.0075) = log(1.714) / log(1.0075) = 0.234 /0.00325 = 72
t = 72/4 = 18 years
Answer:
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Step-by-step explanation:
