The fundamental behavior that's important here is that, as $t$ gets arbitrarily large, $a^t$ becomes smaller (decays) if $|a|$ and larger (grows) if $|a|>1$ .

$100\left(1-\dfrac12\right)^t=100\left(\dfrac12\right)^t\implies\dfrac12$

$0.1(1.25)^t\implies1.25>1\implies\text{growth}$

$426(0.98)^t\implies0.98$

$2050\left(\dfrac12\right)^t\implies\text{decay}$

$\left((1-0.03)^{1/2}\right)^{2t}=0.97^t\implies0.97$

3 0

3 years ago

10 points! How could you correctly rewrite the equation 4(5 + 3) = 2(22 – 6) using the distributive property?

atroni [7]

D.
4x5 + 4x3 = 2x22 - 2x6
20+12=44-12

6 0

3 years ago

Read 2 more answers

Insert brackets to make this calculation right 4x2+5-3=

pentagon [3]

Salutations!

Insert brackets to make this calculation right 4x2+5-3

The brackets should be inserted outside 2+5. If you add brackets outside teh rest of the numbers the calculation would not make sense.

4 × (2 + 5) - 3

Hope I helped (:

have a great day!

8 0

3 years ago