# When I was considering what to do with my $10,000 lottery winnings, my broker suggested that I invest half of it in gold, the value of which was growing by 9% per year, and the other half in certificates of deposit (CDs), which were yielding 6% per year, compounded every 6 months. Assuming that these rates are sustained, how much will my investment be worth in 15 years? Gavyn Whitehead 2022-09-12 Answered When I was considering what to do with my$10,000 lottery winnings, my broker suggested that I invest half of it in gold, the value of which was growing by 9% per year, and the other half in certificates of deposit (CDs), which were yielding 6% per year, compounded every 6 months. Assuming that these rates are sustained, how much will my investment be worth in 15 years?
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Lorenzo Aguilar
Total amount
Half of money is unrested in gold at 9% per year
$=5000×\left(1.09{\right)}^{15}=18212.4$
and rest half money is invested with rate 6% per year compounded half yearly
Amount after 15 years
$=P\left(1+\frac{R/2}{100}{\right)}^{t×2}\phantom{\rule{0ex}{0ex}}{A}_{c}=5000\left(1+\frac{6/2}{100}{\right)}^{15×2}\phantom{\rule{0ex}{0ex}}=5000\left(1.03{\right)}^{30}=12136.3$
Total amount after 15 years
$=18212.4+12136.3=30348.7$