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
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Answer:
x=0
Step-by-step explanation:
First distribute -4 to x and -5 and get -4x+20-25=-5
Then you combine like terms and get -4x-5=-5
Then add 5 to both sides and get -4x=0
Then divide both sides by -4 and get x=0
Answer:
x = -11/9
Step-by-step explanation:
7(x+3)=-2(x-5)
Distribute
7x+21 = -2x+10
Add 2x to each side
7x+21 +2x = -2x+10+2x
9x +21 = 10
Subtract 21 from each side
9x +21-21 = 10-21
9x = -11
Divide each side by 9
9x/9 = -11/9
x = -11/9