Answer:
The formula to calculate APY is (1 + (i/n))^n - 1
where i is the interest rate and n is the number of compounding periods.
Monthly APY = (1 +(0.055/12)^12 -1
APY = 0.0564 = 5.64%
Quarterly APY = (1 +(0.055/4)^4 -1
APY = 0.0561 = 5.61%
Difference = 5.64 - 5.61 = 0.03% more when compounded monthly.
The APY is more when compounded monthly, because there are more compound periods.
100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
Answer:
Option 4 is correct. The length of PR is 6.4 units.
Step-by-step explanation:
From the given figure it is noticed that the triangle PQR and triangle MQR.
Let the length of PR be x.
Pythagoras formula

Use pythagoras formula for triangle PQM.





The value of PM is 10. The length of PR is x, so the length of MR is (10-x).
Use pythagoras formula for triangle PQR.


.....(1)
Use pythagoras formula for triangle MQR.



.... (2)
From equation (1) and (2) we get




Therefore length of PR is 6.4 units and option 4 is correct.
Answer:
y = 2x + 13
y = –x – 2
Step-by-step explanation:
The perimeter of the parallelogram end is 2*(8 +5) = 26 cm. The product of that and the depth gives the lateral area.
The area of the parallelogram ends is 2*8*3, so the total area is
.. surface area = (26 cm)*(7 cm) +2*(8 cm)*(3 cm) = 230 cm^2