Let
x = minutes used for jogging
y = minutes used for handball
z = minutes used for cycling
Th total time spent is 1 hour (60 minutes), therefore
x + y + z = 60
Because Mike jogs as long as he cycles, therefore
x = z
Therefore
2x + y = 60
or
y = 60 - 2x (1)
Jogging consumes 10 calories/min, handball consumes 9 calories/min and cycling consumes 12 calories/min.
The calories consumed in 60 minutes is 580, therefore
10 x + 9y + 12z = 580
Because x = z,
22x + 9y = 580 (2)
Substitute (1) into (2).
22x + 9(60 - 2x) = 580
22x + 540 - 18x = 580
4x = 40
x = 10
y = 60 - 2x = 40
z = x = 10
Answer:
10 minutes of jogging
40 minutes of handball
10 minutes of cycling.
Since he is 35 and lives in the United States we would need to know if he has been a resident within the United States for at least 14 years, and if he was a natural born citizen of the U.S.A.<span />
Answer:
The boy: 8 years old
The sister: 11 years old
Explanation:
We assume that the age at present of the boy is x (years old).
As he is younger than his sister 3 years, so that his sister's present age is great than x 3 years
=> Her present age is: x + 3 (years old)
Two years ago, the boy is younger than present two years
=> The boy's age two years ago is: x - 2 (years old)
Similarly, the sister's age two years ago is: (x+3)-2 = x + 1 (years old)
As given, two years ago he was two-thirds of his sister's age, so that we have:
<em>The boy's age two years ago = </em><em> × the sister's age two years ago</em>
⇒
⇒
⇒
⇒
⇒
=> x + 3 = 8 + 3 = 11
So the present age of the boy is 8 years old, of the sister is 11 years old
Answer:
D) Materiality is a matter of professional judgement
Explanation:
Answer: See explanation
Explanation:
A bond’s (face value) is generally $1,000 and represents the amount borrowed from the bond’s first purchaser.
A bond issuer is said to be in (default) if it does not pay the interest or the principal in accordance with the terms of the indenture agreement or if it violates one or more of the issue’s restrictive covenants.
A bond contract feature that requires the issuer to retire a specified portion of the bond issue each year is called a (sinking fund provision).
A bond’s (call provision) gives the issuer the right to call, or redeem, a bond at specific times and under specific conditions.
The face value is the dollar value of a security, or a stock's original cost. Default means when the bond issuer doesn't agree with the stated terms of the bond.