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.
Answer:
First National Bank's EAR is 11.68%
First United Bank's EAR is 11.62%
Explanation:
Effective annual rate=(1+APR/m)^m-1
APR is the annual rates given in the question as 11.1% and 11.3%
m is the number of times in the year that compounding is done, for instance, it is 12 for monthly compounding and 2 for semiannual compounding
First National Bank's EAR=(1+11.1%/12)^12-1=11.68%
First United Bank's EAR=(1+11.3%/2)^2-1=11.62%
The EAR for First National Bank is higher
You run a stop sign and hit another vehicle. Collisions are the type of that insurance will pay for the repair of your vehicle
This is further explained below.
<h3>What is
collision insurance?</h3>
Generally, Collision insurance is a kind of coverage that may assist pay for the repair or replacement of your vehicle in the event that it is damaged in an accident with another vehicle or object, such as a tree or a fence. When you lease or finance a vehicle, the lender will almost always demand you to have collision coverage on the vehicle.
In conclusion, You blow through a stop sign and collide with another car. Your auto insurance company will pay for the repairs to your car if it was damaged in a collision.
Read more about Collisions insurance
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Answer: Budget Constraint
Explanation: Because from the Question we can see that brain needs $50,000 for his research but was dropped to $30,000 , so the $20,000 not given is the budget constraint .
