George says that an account that earns 4% interest compounded annually and an account that earns 2% interest compounded semi-annually will be worth the same if the principals are the same

the account won't yield the same amount despite the same principal amount.

Step-by-step explanation:

To test this assertion :

Let principal = $1000

t = 1 year

Compound interest formula :

A = P(1 + r/n)^nt

P = principal ; r = rate, n = number of times interest is compounded per period ; t = time

Account A :

Rate = 4% annually

A = 1000(1 + 0.04/1)^1

A = 1000 * 1.04 = $1040

Account B:

Rate = 2% compounded semianually ; n = 12 /6 = 2

A = 1000(1 + 0.02/2)^1*2

A = 1000(1.01)^2

A = 1000 * 1.0201

A = $1020.1

From the result, the account won't yield the same amount despite the same principal amount.

10/60

step-by-step explanation:

if you divide 10 by 60 the answer is 0.166666 while if you divide or solve the other problems it equals 0.6

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places