What is 1000(1.005)^{12t}>= 3000 ?

The solution to 1000(1.005)^{12t}>= 3000 is t>= 18.35594…

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1000(1.005)^{12t}>= 3000

1000 (1.005)^{12 t} \geq 3000

t \geq 18.35594 \dots

Interval Notation

[18.35594 \dots, \infty)

Solution steps

1000 (1.005)^{12 t} \geq 3000

Divide both sides by

1000

\frac{1000 \cdot 1.00 5 ^{12 t}}{1000} \geq \frac{3000}{1000}

Simplify

1.06167 \dots^{t} \geq 3

Apply exponent rules

t \geq lo g_{1.06167 \dots} (3)

Refine to a decimal form

t \geq 18.35594 \dots

144 x^{2} - 81 y^{2}

\frac{5}{9} \cdot 27

\frac{9}{10} - \frac{3}{5}

3 x^{2} - 33 x - 18 = 0

4 x^{2} y - 6 x

What is 1000(1.005)^{12t}>= 3000 ?
The solution to 1000(1.005)^{12t}>= 3000 is t>= 18.35594…