Mr. mady opens a savings account with principal p dollars that pays 4.11% interest compounded quarterly. express his ending balance after one year algebraically.

At the end of one year, and at the current rate of increase, Mr. Mady's account would be P x 1.010275⁴

Because the amount is compounded quarterly, the period and the interest rate need to be changed to quarterly figures:

Period = 1 year x 4 quarters = 4 quarters

Interest = 4.11% / 4 quarters = 1.0275% .

The amount after a year is:

= Amount x ( 1 + rate) ^ number of periods

= P x ( 1 + 1.0275%)⁴

= P x 1.010275⁴

In conclusion, the balance after a year is P x 1.010275⁴.

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Answer

Find out the  ending balance after one year algebraically.

To proof

Formula of compound interest quarterly

where

P = principle

R = rate of interest

n = time period in the years

As given

Mr. Mady opens a savings account with principal P dollars that pays 4.11%

interest compounded quarterly

Time = 1 year

put in the equation

we get

solving the above

Solving

= 1.0417P ( approx )

ending balance after one year is $1.0417P ( approx )

Hence proved

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)