An account is opened with an initial deposit of $7,500 and earns 3.6% interest compounded semi-annually for 30 years. how much more would the account have been worth if the interest were compounding weekly?

He would have had more $192.288 if the interest were compounding weekly

Step-by-step explanation:

Let us solve the problem in 2 steps

Step 1

We would determine the amount compounded semi-annually for 30 years.

Initial amount deposited into the account is $7,500. This means that the principal,P = $7,500

It was compounded semi-annually This means that it was compounded twice in a year. So

n = 2

The rate at which the principal was compounded is 3.6%. So

r = 3.6/100 = 0.036

It was compounded for a total of 30 years.

n = 30

The formula for compound interest is

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

Where

A = total amount in the account at the end of n years.

A = 7500(1 + (0.036/2)^2×30

A = 7500(1 + 0.018)^60

A = 7500(1.018)^60

A= $21873.987

Step 2

We would determine the amount compounded weekly for 30 years.

Initial amount deposited into the account is $7,500. This means that the principal,P = $7,500

It was compounded weekly. This means that it was compounded 52 times in a year. So

n = 52

The rate at which the principal was compounded is 3.6%. So

r = 3.6/100 = 0.036

It was compounded for a total of 30 years.

n = 30

Applying the formula for compound interest,

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

Where

A = total amount in the account at the end of n years.

A = 7500(1 + (0.036/52)^52×30

A = 7500(1 + 0.000692)^1560

A = 7500(1.000692)^1560

A = $22066.275

Difference in amount

= $22066.275 - $21873.987 = $192.288

a

step-by-step explanation:

the answer is a

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!