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3 years ago

16.2% of 180 is what number

Mathematics

2 answers:

RSB [31]3 years ago

5 0

You multiply 16.2 x 180= 2916 and divide it. 100/ 2916
<span>x=29.16
</span>
Hope this helps!

GREYUIT [131]3 years ago

3 0

You convert the percent into a decimal which makes it 0.162

180 multiplied by 0.162

= 29.16

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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,

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

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:

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

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

So,

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

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