Mathematics, 27.07.2019 01:00 nikitakhrabkov123

Acorn field has an area of 80,000 square feet. a new parasite has caused the area of the corn field to decrease by one-fourth each month. which equation can be solved to determine the number of months, t, when the area of the corn field is 33,750 square feet, and how long will it take?

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1/4 = 25% so the field would be 75% as much each month

the equation would be something like: 80000*0.75^x
You didn't list the choices

solve for time: 33750 = 80000*0.75^t
0.4219 = 0.75^t

t = log(0.4219) / log(0.75)
time = 3 months

Answer from: RealSavage4Life

A. 33750 = 80000× $(\frac{3}{4})^{t}$

B. time taken = 3 months

Step-by-step explanation:

Area of the corn field is 80000 square feet. A new parasite decreases the size of corn field by one fourth every month.

After one month remaining area of the corn field = $1-\frac{1}{4}=\frac{3}{4}$ area of the field.

Area decreases exponentially every month so the decrease after time t will be = (total area)×( $(\frac{3}{4})^{t}$

= (80000)×( $(\frac{3}{4})^{t}$

This decrease in time t is equal to 33750 feet².

Therefore the equation will be 33750 = 80000× $(\frac{3}{4})^{t}$

By solving this equation we can find the time taken.

By taking log on both sides

$log(33750)=log(80000)(\frac{3}{4})^{t}$

4.528 = log(80000) + tlog(0.75)

4.528 = 4.903 + t(-0.125)

4.528 - 4.903 = -t(0.125)

-0.375 = -(0.125)t

t = $\frac{0.375}{0.125}=3$

Therefore it will take 3 months.

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Okay so for every triangle has three angles that always add up to 180 degrees. and to tell the difference between whether they are secure, right or obtuse is that acute: has one angle that is less than 90 degrees. right triangle means there is at least one angle that is exactly 90 degrees. and an obtuse angle has an angle that is bigger than 180 degrees. i’ll do #13 as an example: 13. 40 and 50 so if every triangle has 180 degrees 40+50= 90 degrees then180-90= 90 degrees so the third angle is 90 degrees and because this triangle has a 90 degree angle it means it is a right triangle

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what is the approximate angle of acb if abc is 25cm and the length of segment bc is 15

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Acorn field has an area of 80,000 square feet. a new parasite has caused the area of the corn field...