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1/2 = 0.5

Work Shown:

3/4 = 0.75

Gaining 3/4 of its size means that it is 1.75 times larger. For example, if the population starts at 100 members, then gaining 3/4 = 75% of the population means it bumps up to 175.

If we start at 300 members, then it jumps to 300*1.75. I won't multiply that out as you'll see why later below.

N(t) = 300*(49/16)^t

300*1.75 = 300*(49/16)^t ... replace N(t) with 300*1.75

1.75 = (49/16)^t the 300s cancel after dividing both sides by 300

(49/16)^t = 1.75

Log[ (49/16)^t ] = Log[ 1.75 ]

t*Log(49/16) = Log(1.75)

t = Log(1.75)/Log(49/16)

t = 0.5

It takes half a week for the population to gain 3/4 of its size. This is true no matter what the starting point is.

the most boring ever written

step-by-step explanation:

i am writing something. yes, i plan to make it the most boring thing ever written. i go to the store. a car is parked. many cars are parked or moving. some are blue. some are tan. they have windows. in the store, there are items for sale. these include such things as soap, detergent, magazines, and lettuce. you can enhance your life with these products. soap can be used for bathing, be it in a bathtub or in a shower. apply the soap to your body and rinse. detergent is used to wash clothes. place your dirty clothes into a washing machine and add some detergent as directed on the box. select the appropriate settings on your washing machine and you should be ready to begin. magazines are stapled reading material made with glossy paper, and they cover a wide variety of topics, ranging from news and politics to business and stock market information. some magazines are concerned with more recreational topics, like sports card collecting or different kinds of hairstyles. lettuce is a vegetable.

step-by-step explanation:

there are 36 inches in a yard

25 : 36 = 0.69 yards (you can round to 0.70)