Answer:
28.3 yards per hour
Step-by-step explanation:
36 inches=1 yard
17inches*1 yard =.47 yards
/36 inches
In one minute, the turtle moves .47 yards.
60 minutes=1 hour
60minutes * .47 yards =28.3 yards per hour
If you want to solve for x, then the answer is x = 6*sqrt(2) where "sqrt" is shorthand for "square root"
Explanation:
All logs below are base 4
log(5) - log(18) = log(20) - 2*log(x)
log(5) - log(18) = log(20) - log(x^2)
log(5/18) = log(20/x^2)
5/18 = 20/x^2 ... raise both sides as exponents (base = 4); logs cancel
5x^2 = 18*20 ... cross multiply
5x^2 = 360
x^2 = 360/5 ... divide both sides by 5
x^2 = 72
x = sqrt(72) ... see note below.
x = sqrt(36*2)
x = sqrt(36)*sqrt(2)
x = 6*sqrt(2)
note: we only consider the positive solution for x because x cannot be negative. We cannot input negative x values into log(x). The domain of log(x) is x > 0. So we don't consider "plus/minus" for the square root.
Let S3={I, 1, 2, 3, 4, 5}
Then S3 is an non-Abelian group under composition because ab DNE ba
yet A3 is a normal subgroup of S3 which is commutative and contains permutations of even order
you can also take mappings of this group G
onto G'
may be an isomorphism perhaps
The compound interest is given by:
A=p(1+r/100)^n
where;
A=amount
p=principle
r=rate
n=time
therefore the time taken for Felicia's money to double will be:
350=175(1+4/100)^n
350/175=1.04^n
2=1.04^n
therefore introducing natural longs we get:
ln2=nln1.04
n=(ln2)/(ln1.04)
n=17.7 years
The answer is 17.7 years
Interest formula: A = P(1 + rt)
Solving for r (Rate): r = (1/t)(A/P - 1)
Rate = (1/2)(2500/1800 - 1) = (1/2)(25/18 - 1) = (1/2)(7/18) = 7/36 ≈ 0.194
Rate = 0.194% per annum