The number of subscribers y to a newspaper after t years is shown by the equation , where 75 is the initial number of subscribers to a newspaper and t is the time period is years.
The above equation can be rewrite as
which is equivalent to the exponential decay function with rate r=0.05=5%
⇒ The number of subscribers to a newspaper decreased by 5% every year.
OK the problem is focusing on VOLUME and TIME.. you can set up this problem like this... (v1/t1) x (v2/t2). first we plug in what we know. the first container was filled in 4 minutes so this is our "T1". However we weren't giving the volume of the first container but we were given its dimensions. the volume formula is LxWxH. so we plug in 9x11x12 to get 1188. this is our "V1". the same concept applies for the volume of the aquarium. we have its dimensions so just plug in. 24x25x33 = 19800 this is our "V2". the thing we are left trying to find is T2. so now you can do some cross multiplying and division. (T1xV2)/V1 or (4x19800)/1188 and you get 66.67min or 1h and 6.67mins. and thats how long it took to fill the aquarium.
Answer:
F(-6) = <u>2*(-6) + 1</u>
5*(-6) -2
= <u>-11 </u>
-32
= <u>11 </u>
32
We know, 1 ounce = 29.57 ml
so, 64 ounces = 1892.71 ml
so, remaining drink would be: 1892.71-700 = 1192.71 ml
To decrease something at 100% by 7% is:
100% - 7% = 93%
You multiply the original value by 0.93 to decrease it from it's original value by 7%
