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Debora [2.8K]
3 years ago
6

Paulo has won the lottery. He is offered a series of payments of $10,000 per year for 10 years. What is the present value of the

se payments at an interest/discount rate of 6%
Mathematics
1 answer:
sergiy2304 [10]3 years ago
4 0

The present value of the payments is $73,600.87.

Present value of a cash flow is the value of the cash flow today. This is determined by adding the discounted cash flows of the cash flows together.  

Discounted year 1 cash flow: 10,000 / (1.06) = 9,433.96

Discounted year 2 cash flow: 10,000 / (1.06)^2 = 8,899.96

Discounted year 3 cash flow: 10,000 / (1.06)^3 = 8,296.19

Discounted year 4 cash flow: 10,000 / (1.06)^4 = 7,920.94

Discounted year 5 cash flow: 10,000 / (1.06)^5 = 7,472.58

Discounted year 6 cash flow: 10,000 / (1.06)^6 = 7,049.61

Discounted year 7 cash flow: 10,000 / (1.06)^7 = 6,650.57

Discounted year 8 cash flow: 10,000 / (1.06)^8= 6,274.12

Discounted year 9 cash flow: 10,000 / (1.06)^9 = 5,918.98

Discounted year 10 cash flow: 10,000 / (1.06)^10 = 5,583.95

The sum of the discounted cash flows = $73,600.87

A similar question was solved here: brainly.com/question/9641711?referrer=searchResults

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The expression (4z + 3)(z - 2) is equivalent to
harkovskaia [24]

(4z + 3)(z - 2)=4z^2-8z+3z-6=4z^2-5z-6

8 0
4 years ago
Help please!! <br><br><br> Define the following sequence recursively <br> 11,33,55,77
yulyashka [42]

Answer:

Step-by-step explanation:

Recursive sequences generally look like this:

a1 = something

an= ahhhhhh

The 1st term in this sequence is 11.

So we have

a1=11

And now we see that each term is adding by 22.

We have,

a1=11

a_{n} =a_{n-1}+22

3 0
3 years ago
How does the graph of g(x) = (x − 2)3 + 6 compare to the parent function of f(x) = x3?
Svet_ta [14]

The graph of g(x) is the graph of f(x) translated 2 units to the right and 6 units up.

<h3>How does the graph of g(x) compare to the one of f(x)?</h3>

Here we have:

f(x) = x^3\\\\g(x) = (x - 2)^3 + 6

You can notice that if we take f(x), and we shift it 2 units to the right, we have:

g(x) = f(x - 2)

Then if we apply a shift upwards of 6 units, then we have:

g(x) = f(x - 2) + 3

Replacing f(x) by the cubic parent function, we have:

g(x) = (x - 2)^3 + 6

So we conclude that the graph of g(x) is the graph of f(x) translated 2 units to the right and 6 units up.

If you want to learn more about translations:

brainly.com/question/24850937

#SPJ1

7 0
2 years ago
The solution to 5x = 55 is<br><br><br> x = 11<br><br><br> x = 50
Travka [436]

Answer:

x=11

Step-by-step explanation:

5x = 55

Divide each side by 5

5x/5 = 55/5

x = 11

4 0
3 years ago
Read 2 more answers
The average birth weight of elephants is 230 pounds. Assume that the distribution of birth weights is Normal with a standard dev
zubka84 [21]

Answer:

294.1 pounds

Step-by-step explanation:

Step 1

We find the z score for 90th percentile

= 1.282

Step 2

We solve using z score formula

z = (x-μ)/σ, where

x is the raw score ??

μ is the population mean = 230 pounds

σ is the population standard deviation= 50 pounds

1.282 = x - 230/50

Cross Multiply

1.282 × 50 = x - 230

64.1 = x - 230

x = 230 + 64.1

x = 294.1 pounds

The birth weight of elephants at the 90th percentile is 294.1 pounds.

4 0
3 years ago
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