, Could you please help me understand that when I take 8.23% and I put it into the equation of (1 + 8.23)^12, I do not get = 2.5833. I get a huge number . How do you get the result of 2.5833 when using the percentage of 8.23? Thank you

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter2: Solving Linear Equations
Section2.2: Use A Problem Solving Strategy
Problem 2.53TI: Eduardo noticed that his new car loan papers stated that with a 7.5% simple interest rate, he would...
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Hi, Could you please help me understand that when I take 8.23% and I put it into the equation of (1 + 8.23)^12, I do not get = 2.5833. I get a huge number . How do you get the result of 2.5833 when using the percentage of 8.23? Thank you
ule
-
mp.com.
At one time at least, a rule of thumb in the rarefied world of fine art collecting was "your
money back in 5 years, double your money in 10 years." Given this, let's see how an invest-
ment stacked up. In 2013, the Pablo Picasso painting Le Rêve was sold for $155 million.
The painting had reached a level of notoriety in part because its owner, casino magnate
Steve Wynn, had put his elbow through the middle of the painting. Wynn had purchased
the painting 12 years earlier in 2001 for an estimated $60 million. So was Wynn's gamble
a winner?
The rule of thumb has us doubling our money in 10 years; so, from the Rule of 72, we
have that 7.2 percent per year was the norm. The painting was resold in about 12 years. The
present value is $60 million, and the future value is $155 million. We need to solve for the
unknown rate, r, as follows:
$60,000,000 = $155,000,000/(1+r)¹²
(1+r) ¹² = 2.5833
Solving for r, we find that Wynn earned about 8.23 percent per year-a little better than
the 7.2 percent rule of thumb.
Transcribed Image Text:ule - mp.com. At one time at least, a rule of thumb in the rarefied world of fine art collecting was "your money back in 5 years, double your money in 10 years." Given this, let's see how an invest- ment stacked up. In 2013, the Pablo Picasso painting Le Rêve was sold for $155 million. The painting had reached a level of notoriety in part because its owner, casino magnate Steve Wynn, had put his elbow through the middle of the painting. Wynn had purchased the painting 12 years earlier in 2001 for an estimated $60 million. So was Wynn's gamble a winner? The rule of thumb has us doubling our money in 10 years; so, from the Rule of 72, we have that 7.2 percent per year was the norm. The painting was resold in about 12 years. The present value is $60 million, and the future value is $155 million. We need to solve for the unknown rate, r, as follows: $60,000,000 = $155,000,000/(1+r)¹² (1+r) ¹² = 2.5833 Solving for r, we find that Wynn earned about 8.23 percent per year-a little better than the 7.2 percent rule of thumb.
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