Figure ABCD is a parallelogram.

Answer please I will give brainiest to the one who answers first.

Lerok [7]

Answer:

$1,094,748.09
$8600.28
11 years, 10 months

Step-by-step explanation:

a) The compound interest formula can be used:

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

where P is the principal invested at annual rate r compounded n times per year for t years.

A = $750,000(1 +.038/4)^(4·10) ≈ $1,094,748.09

Tamsyn's account will have a balance of $1,094,748.09 when she retires.

__

b1) The amortization formula is good for this.

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

where P is the amount earning interest at annual rate r compounded n times per year for t years.

A = $1,094,748.09(0.049/12)/(1 - (1 +0.049/12)^(-12·15)) ≈ $8600.28

Tamsyn can withdraw $8600.28 per month for 15 years.

__

b2) The account balance after n months will be ...

B = P(1 +r/12)^n -A((1+r/12)^n -1)/(r/12)

Filling in the known values and solving for n, we have ...

300,000 = 1,094,748.09(1.1.00408333^n) -8600.28(1.00408333^n -1)/.000408333

300,000 = 1,094,748.09(1.1.00408333^n) -2,106,191.02(1.00408333^n -1)

-1,806,191.02 = -1,011,442.93(1.00408333^n)

1.785757 = 1.00408333^n

n = log(1.785757)/log(1.00408333) = 142.3

After about 11 years 10 months, the account balance will be $300,000.

4 0

3 years ago

What is 22.3 rounded to the nearest hundred

WITCHER [35]

Answer:

100

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

The Dallas Development Corporation is considering the purchase of an apartment project for $100,000. They estimate that they wil

katovenus [111]

Answer:

The rate of return is 8.15%

This is a good investment

Explanation:

For the first question, you need to find the rate that makes the present value of a stream of ten constant annual payments of $15,000 equal to the $100,000 investment.

The formula that returns the present value of a constant payment is called the annuity formula and is:

$Present\text{ }value=payment\times \bigg[\dfrac{1}{r}-\dfrac{1}{r(1+r)^t}\bigg]$

In your problem you know:

Present value: $100,000
payment: $15,000
r: ?
t: 10

You cannot solve for r directly. You must guess a value and calculate the right side of the equation until to you find the rate that makes it equal to 100,000.

Try 5%:

$\$15,000\times \bigg[\dfrac{1}{0.05}-\dfrac{1}{0.05(1+0.05)^{10}}\bigg]=\$115,826$

Then, the rate of return is greater than 5%. After several trials you will find that the rate of return is 8.15%.

Since this rate is higher than 8%, which is what the company requires, this is a good investment.

5 0

3 years ago

I don't understand help

TiliK225 [7]

First arrange numbers
14,15,15,17,19,20,21,23,24
19 is median
15+15/2=15 is first quartile

7 0

3 years ago

Each type of cable has a prescribed bend radius , which is the radius of the maximum arc into which you can loop a cable without

Solnce55 [7]

The answer is true i believe.

6 0

3 years ago