Since 2006, the amount of money spent at restaurants in a certain country has increased at a rate of 6% each year. In 2006, about $420 billion was spent at restaurants. If the trend continues, about how much will be spent at restaurants in 2016?

Answer :

Answer:

We conclude that at restaurants in 2016 will be spent 752.16$.

Step-by-step explanation:

We know that since 2006, the amount of money spent at restaurants in a certain country has increased at a rate of 6% each year. In 2006, about $420 billion was spent at restaurants.

We calculate how much will be spent at restaurants in 2016.

We use the formula:

[tex]\boxed{x=P(1+i)^t}[/tex]

where are:

[tex]P=420\$\\\\i=6\%=0.06\\\\t=10[/tex]

we get

[tex]x=P(1+i)^t\\\\x=420\cdot(1+0.06)^{10}\\\\x=420\cdot 1.06^{10}\\\\x=752.16[/tex]

We conclude that at restaurants in 2016 will be spent 752.16$.

Step-by-step explanation:

Below is an attachment containing the solution.

${teks-lihat-gambar} nwandukelechi

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