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Nady [450]
3 years ago
13

The tax rate as a percent, r, charged on an item can be determined using the formula 100( – 1) = r, where c is the final cost of

the item and p is the price of the item before tax. Louise rewrites the equation to solve for the final cost of the item: c = p(1 + ). What is the final cost of a $40 item after an 8% tax is applied?
Mathematics
1 answer:
ELEN [110]3 years ago
7 0
<span>The question is asking us to calculate the final cost of the item after the tax is applied. The price of item before the tax is: P = $40 and the tax rate as a percent is 8%. It means that r = 0.08. And the formula is: C = P * ( 1 + r ). Finally: C = $40 * ( 1 + 0.08 ) = $40 * 1.08 = $43.20. Answer: The final cost is $43.20. </span>
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Step-by-step explanation:

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Lynna [10]

Answer: we have that

[3/2,3/8,3/32,3/128,3/512]

the sum of the geometric sequence is [3/2+3/8+3/32+3/128+3/512]

=(1/512)*[256*3+64*3+16*3+4*3]

=(3/512)*[256+64+16+4]

=(3/512)*[340]

=(1020/512)

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the answer is

1.9922

another way to calculate it 

is through the following formula

∑=ao*[(1-r^n)/(1-r)]

where 

ao---------> is the first term

r----------> is the common ratio between terms

n----------> is the number of terms

ao=1.5

r=1/4-----> 0.25

n=5

so

∑=1.5*[(1-0.25^5)/(1-0.25)]-------------> 1.99

Step-by-step explanation: we have that

[3/2,3/8,3/32,3/128,3/512]

the sum of the geometric sequence is [3/2+3/8+3/32+3/128+3/512]

=(1/512)*[256*3+64*3+16*3+4*3]

=(3/512)*[256+64+16+4]

=(3/512)*[340]

=(1020/512)

=255/128---------> 1.9922

the answer is

1.9922

another way to calculate it 

is through the following formula

∑=ao*[(1-r^n)/(1-r)]

where 

ao---------> is the first term

r----------> is the common ratio between terms

n----------> is the number of terms

ao=1.5

r=1/4-----> 0.25

n=5

so

∑=1.5*[(1-0.25^5)/(1-0.25)]-------------> 1.99

8 0
3 years ago
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