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mars1129 [50]
2 years ago
13

Rob Herndon, an accountant with Southwest Airlines, wants to retire 50% of

Mathematics
1 answer:
pogonyaev2 years ago
8 0

For Rob Herndon to achieve his goal of paying off $430,000 in 10 years, he needs to make $34,186.97 at 5% compounded annually.

<h3>What is a future value?</h3>

A future value refers to a value on a future date based on an assumed growth rate of interest over some period.

The future value can be determined using the FV formula or table.

We can also compute the future value using an online finance calculator as follows:

<h3>Data and Calculations:</h3>

N (# of periods) = 10 years

I/Y (Interest per year) = 5%

PV (Present Value) = $0

FV (Future Value) = $430,000

<u>Results:</u>

PMT = $34,186.97

Sum of all periodic payments = $341,869.70

Total Interest= $88,130.30

Thus, for Rob Herndon to achieve his goal of paying off $430,000 in 10 years, he needs to make $34,186.97 at 5% compounded annually.

Learn more about determining Future Values at brainly.com/question/24703884

#SPJ1

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The value V of a Porsche 718 Cayman that is t years old can be modeled by V(t) = 420,000(0.965)t (a) What would be worth the car
nordsb [41]

Answer:

<u>A. V (2) = $ 391,114.50</u>

<u>B. t = 7.2 years (rounding to the next tenth) or approximately 7 years, 2 months and 12 days  </u>

Step-by-step explanation:

Given formula:

V(t) = 420,000 * (0.965)^t

A. What would be worth the car′s worth in 2 years?

V(t) = 420,000 * (0.965)^t

We replace t by 2, as follows:

V(2) = 420,000 * (0.965)²

V(2) = 420,000 * 0.931225

<u>V (2) = $ 391,114.50</u>

B. In how many years will the car be worth $325,000?

V(t) = 420,000 * (0.965)^t

We replace V(t) by 325,000, as follows:

325,000 = 420,000 * (0.965)^t

325,000/420,000 = (0.965)^t

0.77381 =  (0.965)^t

t = log 0.965(0.7738)  

t = log 0.7738/log 0.965  

<u>t = 7.2 years (rounding to the next tenth) or approximately 7 years, 2 months and 12 days  </u>

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3 years ago
Kallie's mom takes her out for lunch. The bill comes to $18.75. Her mom comments that the waiter did a good job and deserves a 1
slava [35]

Answer:

The tip was actually a little over 15% so we could surely say it is pretty sound and reasonable.

Step-by-step explanation:

To Determine:

Explain how Kallie can mentally estimate whether her mom's tip is reasonable for a 15% tip?

<em>Information Fetching and Solution Steps:</em>

As

  • Kallie's mom takes her out for lunch
  • The bill comes to $18.75
  • Her mom comments that the waiter did a good job and deserves a 15% tip
  • Kallie notices that her mom leaves a $4 tip

So,

  • You can find \:10\% by moving the decimal point one place to the left
  • \:10\% of 18.75 will be 1.875, then half of that will be 5\%

So, 15\% should be be about 1.88\:+\:0.94\:=\:2.82

Therefore, the tip was actually a little over 15% so we could surely say it is pretty sound and reasonable.

Keywords:  tip, word problem, decimal

Learn more about word problem from brainly.com/question/13111591

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