If, at the end of two years, a savings account has a balance of $1,172.60, and the interest rate is compounded monthly at 3.2%, then what is the original amount deposited two years ago?

$1101

Step-by-step explanation:

Given data

A= $1,172.60

R= 3.2 = 0.032

t= 2

The expression for compound interest is

A= P(1+r)^t

Substitute

1172.60=P(1+0.032)^2

1172.60=P(1.032)^2

1172.60=P1.065

Divide both sides by 1.065

1172.60/1.065= P

P=$1101

Hence the original amount is $1101

maybe - definition of supplementary angles. im not sure. sorry

step-by-step explanation:

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