You have the option to deposit $6500 into an account that pays 3.25% interest, compounded quarterly OR to deposit your money into an account that pays the same interest rate but compounds continuously. Which option yields you more money after 5 years and how much more? OPTIONS:
Compounded quarterly, $4809.13
Compounded quarterly, $416.23
Compounded continuously, $5.02
Compounded continuously, $878.52

9514 1404 393

  Compounded continuously, $5,02

Step-by-step explanation:

Compounded quarterly, the amount in the account will be ...

  A = 6500(1 +.0325/4)^(4·5) ≈ 7641.89

Compounded continuously, the amount in the account will be ...

  A = 6500e^(.0325·5) = 7646.91

So, the account compounding continuously has the higher yield, by the amount of ...

  $7646.91 -7641.89 = $5.02

hope this !

step-by-step explanation:

d = distance between moon and sun, which in this problem is the hypotenuse of a right triangle.  

the distance y is the side opposite to angle x in the right triangle.   use the definition of the sine function from basic trigonometry.

sin(x) = y/d ⇒

d = y/sin(x)

answer:   segregation violated the equal protection clause of the 14th amendment, which holds that no state can “deny to any person within its jurisdiction the equal protection of the laws.”

details/explanation:

brown v. board of education of topeka, decided by the us supreme court in 1954, ruled that all americans are entitled to the same civil liberties and protections in regard to access to education. until that decision, it was legal to segregate schools according to race, so that black students could not attend the same schools as white students.   an older supreme court decision, plessy v. ferguson (1896), had said that separate, segregated public facilities were acceptable as long as the facilities offered were equal in quality.   in the case of brown v. board of education, that standard was challenged and defeated.   segregation was shown to create inequality, and the supreme court unanimously ruled segregation to be unconstitutional.

the ruling was important in advancing civil rights because it affirmed that the 14th amendment applies to all rights and privileges of citizens, including access to   education.   this was being violated by states whose laws supported the segregation of schools.   section 1 of the 14th amendment reads as follows: