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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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Find the sum of the given arithmetic series. 24 + 48 + 72 + 96 +...+ 480
Alja [10]

Answer:

5040

Step-by-step explanation:

The given series is :

24 + 48 + 72 + 96 +...+ 480

The first term, a= 24

Common difference, d = 24

The last term, a_n=480

Let there are n terms in the AP.

So,

a_n=a+(n-1)d\\\\480=24+(n-1)24\\\\480=24+24n-24\\\\n=20

There are 20 terms in the series. The sum of 20 terms is :

S_{20}=\dfrac{n}{2}(2a+(n-1)d))\\\\=\dfrac{20}{2}\times (2(24)+19(24))\\\\=5040

So, the sum of the given arithmetic series is equal to 5040.

8 0
3 years ago
Lillian me made 6 out of every 10 baskets she attempted during basketball practice. If she attempted 25 baskets how many did she
Olegator [25]
14 or 15 is the answer i believe 

6 0
3 years ago
Read 2 more answers
How can i put the number 103,727,495 in expanded form
tia_tia [17]
How can i put the number 103,727,495 in expanded form
You can put the number 103, 727,495 in expanded form by:
<span><span>1.       </span>100, 000, 000 + 3,000, 000 + 700,000 + 20, 000 + 7, 000 + 400 + 90 + 5</span>

Which in words is.

<span><span>1.       </span>One hundred three million seven hundred twenty seven thousand four hundred ninety-five </span>



7 0
2 years ago
Find the quotient: (x2−5x+8)÷(x+2)
Aneli [31]

Answer:

Quotient = x - 7

Step-by-step explanation:

We are dividing x^2 - 5x +8 by x + 2

x + 2√x^2 - 5x + 8

Starting with dividing by x

x - 7

x + 2√ x^2 - 5x + 8

Multiplying x by x + 2

x

x + 2√ x^2 - 5x + 8

-

x^2 + 2x

= -7x + 8

Step ii, pick -7 for division

-7x + 8

-

-7x - 14

= +8 -(-14)

= 8+14

= 22

The answer is

( x - 7) remainder 22

(x - 7) is the quointent

22 is the remainder

3 0
3 years ago
Eighty-seven decreased by three times a number is greater than one hundred sixty-five
QveST [7]
The answer
the question is not clear
if it is to determine how to write this phrase as a mathematics equation, it is as follow:
let be x the unknown number
so <span>ighty-seven decreased by three times a number is greater than one hundred sixty-five means  87 - 3x>165, 
so we can solve it easily as 87 - 165> 3x, and then 3 x > 32, and finally the value of x is x > 32/3=10.66</span>
3 0
3 years ago
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