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To calculate the worth of the certificate on Heather's 14th birthday, we need to use the formula for compound interest:
A = P(1 + r/n)^(nt)
Where:
A stands for the final amount
P is the principal amount (initial investment), which is $5,000.00
r is the annual interest rate in decimal form, which is 7% or 0.07
n is the number of times the interest is compounded per year, which is every 4 months or 3 times a year
t is the number of years, which is 14 years
Plugging in these values into the formula:
A = 5000(1 + 0.07/3)^(3*14)
Now, let's calculate the value of the certificate on Heather's 14th birthday.