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Svet_ta [14]
3 years ago
13

You plan on going on vacation and decide to invest $2,875 into an investment fund that compounds your money monthly at 4.2%. How

much money will you have to go on your vacation at the end of 3 years of high school?
Mathematics
1 answer:
LiRa [457]3 years ago
4 0

Answer: you would have $3260 to go on your vacation at the end of 3 years of high school

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1+r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = $2,875

r = 4.2% = 4.2/100 = 0.042

n = 12 because it was compounded 12 times in a year.

t = 3 years

Therefore,.

A = 2875(1 + 0.042/12)^12 × 3

A = 2875(1 + 0.042/12)^12 × 3

A = 2875(1 + 0.0035)^36

A = 2875(1.0035)^36

A = $3260

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According to the described rule, we have

a_1=7\\ \\a_1^2=7^2=49\Rightarrow a_2=4+9+1=14\\ \\a_2^2=14^2=196\Rightarrow a_3=1+9+6+1=17\\ \\a_3^2=17^2=289\Rightarrow a_4=2+8+9+1=20\\ \\a_4^2=20^2=400\Rightarrow a_5=4+0+0+1=5\\ \\a_5^2=5^2=25\Rightarrow a_6=2+5+1=8\\ \\a_6^2=8^2=64\Rightarrow a_7=6+4+1=11\\ \\a_7^2=11^2=121\Rightarrow a_8=1+2+1+1=5\\ \\\text{and so on...}

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