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max2010maxim [7]

3 years ago

10

It is estimated that approximately one-half of all aluminum cans will be recycled each year. If a soft drink company produces 35

0,000 cans one year, how many cans are still in use after 4 years of recycling and re-using, using this function? Nt = 350,000(0.52)t

1 answer:

Harrizon [31]3 years ago

7 0

350,000×0.52^(4)
=25,590.656

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The triangle on the grid will be translated two units left. On a coordinate plane, triangle A B C has points (negative 1, negati

nignag [31]

Answer:

Option B.

Step-by-step explanation:

The given vertices of triangle ABC are (-1, -1), (-1, -5) and (0.5, -5).

We need to find the coordinates of triangle when it is translated two units left.

So, the rule of translation is

$(x,y)\rightarrow (x-2,y)$

Using this rule, we get

$A(-1,-1)\rightarrow A'(-1-2,-1)=A'(-3,-1)$

$B(-1,-5)\rightarrow B'(-1-2,-5)=B'(-3,-5)$

$C(0.5,-5)\rightarrow C'(0.5-2,-5)=C'(-1.5,-5)$

The vertices of triangle A'B'C' are A'(-3,-1), B'(-3,-5) and C'(-1.5,-5).

Therefore, the correct option is B.

8 0

2 years ago

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On a graph the y axis goes by 200’s while the x axis goes by 10’s, I’m given the first equation y=8x+400 and told the slope is 8

svp [43]

Don’t trust those links it doesn’t work at all

3 0

2 years ago

Tom [10]

Answer:

5:9

Step-by-step explanation:

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Fredericka can make 65% of her shots from the free-throw line. If she shoots 75 times, how many shots can she expect to go in?

stiv31 [10]

65% of 75 = x

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6 0

3 years ago

Student council expects $150 students for a dance and spends $10 on food for each student. The council expects the number of stu

Natalija [7]

Answer:

$A) S(t)=150(1.08)^{t-1}$ $B) A(t)=10(0.96)^{t-1}$

$C) If\:t = 1\\E(t)=150\times10\\ \\If\:t >1\\E(t)=150(1.08)^{t-1}\times10(0.96)^{t-1}$

Step-by-step explanation:

Considering that The Student Council expects to 150 students for a dance, and spends $10 per student.

If the expectancy is that the number of students increases by 8%

Then since the growth is 8%

we can write the the Predicted Number of Students as a Geometric Sequence,

A.

$a_{1}=150\\a_{2}=150\times 1.08 =162\\a_{3}=162\times 1.08= 174.96\approx 175\\a_{4}=175\times1.08=189\\a_{5}=189\times 1.08=204.12\approx 204\\$

Therefore,

$S(t)=150(1.08)^{t-1}$

B) If we spend $10 per student on the 1st year, but the Council wants to reduce the expenditure 4% yearly. Since we want to reduce 4% we must multiply by 96%.

$b_{1}=10\\b_{2}=10*(0.96)=9.6\\b_{3}=9.6*(0.96)=9.22\\b_{4}=9.22*(0.96)=8.85\\b_{5}=8.85*(0.96)=8.50$

Therefore we can write:

$A(t)=10(0.96)^{t-1}$

C)

The total expenditure for food must be reduced, by 4%. As long as the public goes increasing by 8% yearly this

So,

$If\:t = 1\\E(t)=150\times10\\ \\If\:t >1\\E(t)=150(1.08)^{t-1}\times10(0.96)^{t-1}$

7 0

3 years ago