Let jena take x hours to mow the lawn on her own.- then we can write the equation
1/x + 1/4x = 1 / 44
44 + 11 = x
x = 55
x takes 55 hours to mow the lawn
575.00= 100% 575 divided by 100= 5.75 times 25= 143.75 So then 575.00 - 143.75 = 431.25 (the discount was 143.75, and her new total would be 431.25)
Answer:
10.846 hours
Step-by-step explanation:
first you add all the calories= 1410 calories
then you divide 1410 calories by 130 (the calories you can burn in one hour)
your answer is 10.846 which means that it takes 10.846 hours to consume 1410 calories.
If you know that
, then you know right away

###
Otherwise, you can derive the same result. Let
, so that
.
is bounded, so we know
. For these values of
, we always have
.
So, recalling the Pythagorean theorem, we find

Then

as expected.
We would apply the formula for determining compound interest which is expressed as
A = P(1 + r/n)^nt
where
A = total amount in the account at the end of t years
r represents the interest rate
n represents the periodic interval at which it was compounded
p represents the principal or initial amount deposited
From the information given,
P = 11260
t = 6
r = 7.5/100 = 0.075
n = 52(Assuming the number of weeks in a year is 52 and it would be compounded 52 times in a year)
Thus, we have
A = 11260(1 + 0.075/52)^52*6
A = 11260(1 + 0.075/52)^312
A = 17653.5