Madelyn invested $650 in an account paying an interest rate of 5 3/4 % compounded daily. Jonathan invested $650 in an account paying an interest rate of 5 5/8% compounded continuously. After 10 years, how much more money would Madelyn have in her account than Jonathan, to the nearest dollar?

Madelyn would have $14.17 in her account more than Jonathan.

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

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

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

Considering Madelyn's investment,

P = 650

r = 5.75% = 5.75/100 = 0.0575

n = 365 because it was compounded 12 times in a year.

t = 10 years

Therefore,

A = 650(1+0.0575/365)^365 × 10

A = 650(1+0.0001575)^3650

A = 650(1.0001575)^3650

A = 650 × 1.7768

A = 1154.92

The formula for continuously compounded interest is

A = P x e (r x t)

Where

A represents the future value of the investment after t years.

P represents the present value or initial amount invested

r represents the interest rate

t represents the time in years for which the investment was made.

e is the mathematical constant approximated as 2.7183.

Considering Jonathan's investment,,

P = 650

r = 5.625% = 5.625/100 = 0.05625

t = 10 years

Therefore,

A = 650 x 2.7183^(0.05625 x 10)

A = 650 x 2.7183^(0.5625)

A = 650 × 1.755

A = $1140.75

The difference in the amount in both accounts is

1154.92 - 1140.75 = $14.17

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step-by-step explanation:

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.