Mathematics, 27.08.2021 21:10 certifiedtino4576

If there are 14418 students at Rocky Valley College and 1
3
of the students take speech, how many students take speech at Rocky Valley College?

Answers: 2

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Answer from: Quest

38 dollars is your answer.

Answer from: Quest

hi how are you doing today, if you need just ask me.

step-by-step explanation:

Answer from: Quest

isocolese triangle

we know that the line connect a and b is the hyptonuse

so first find the hypotonuse length using the distance formula, call the length c

since it is an isocolese triangle, the lengths of the legs are the same

using pythagorean theorem, $a^2+b^2=c^2$

in this case, a=b since isocolese triangle so we get

$2a^2=c^2$ or $a=\frac{c}{\sqrt{2}}$

we can find c so we can find the distances

we know that if we draw 2 circles, each has center at a and b, and find where they intersect, we can the 2 possible locations for c

if a has center at (xa,ya) and b has center at (xb,yb), then we can solve where

$(x-x_a)^2+(y-y_a)=(\frac{c}{\sqrt{2}})^2$ and

$(x-x_b)^2+(y-y_b)^2=(\frac{c}{\sqrt{2}})^2$ intersect to find where they intersect

i'm not going to put an example because i have to go to class. i hope this explanation is enough

Answer from: Quest

a) 40 more; b) old factory: 10%, new factory: 16%; c) week 4

explanation:

a) at week 0, we see in the graph that the new factory produces 190 specialty items.

using the function, substituting 0 in for w,

$p(w)=230(1.1)^w\\\\p(0)=230(1.1)^0\\\\p(0)=230(1)=230$

this is a difference of 230-190 = 40.

b) the function for the old factory is written in the form f(x) = a(1+r)ˣ, where a is the original amount, x is the amount of time and r is the growth rate. the equation for the old factory is $p(w)=230(1.1)^w$ ; 230 is in place of a and is the original amount; w is the amount of time; which means 1+r = 1.1. this means that r must be 0.1 or 10%.

for the new factory, we find the percent of increase to find the growth rate; the formula for this is

$\text{percent of change}=\frac{\text{amount of change}}{\text{original amount}}$

between the first two points, the amount of change is 220-190 = 30; this gives us

30/190 = 0.158 ≈ 0.16 = 16%

c) at week 0, the old factory has 230 while the new factory has 190.

at week 1, the old factory has 230(1.1) = 253 while the new factory has 220.

at week 2, the old factory has 230(1.1²) = 278.3 while the new factory has 252.

at week 3, the old factory has 230(1.1³) = 306.13 while the new factory has 290.

at week 4, the old factory has 230(1.1⁴) = 336.743 while the new factory has 337. this is the first week that the new factory surpasses the old.

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If there are 14418 students at Rocky Valley College and 1
3
of the students take speec...

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