The exponential equations represents how long it will take for the account to grow to 1500 is y = 1000(b)^13.72
<h3>Exponential equations</h3>
Exponential equations are inverse of logarithmic equation. The standard exponential equation is expressed as;
y = ab^x
where
a is the base
x is the exponent
b is the rate
If Jennifer has a savings account that earns interest at a rate of 3% per year. Jennifer deposits 1000 into the account, the resulting exponential equation will be:
y = 1000(1.03)^x
If y = 1500, find the value of x
1500 = 1000(1.03)^x
1.5 = 1.03^x
ln1.5 = xln1.03
x = ln1.5/ln1.03
x = 13.72
Substitute to determine the equation
y = 1000(b)^13.72
Hence the exponential equations represents how long it will take for the account to grow to 1500 is y = 1000(b)^13.72
Learn more on exponential equation here: brainly.com/question/2456547
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