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Sati [7]
2 years ago
14

Tim wants to purchase a watch for $98.99. He has a coupon that will discount the watch by 10%. If sales tax is 7.5%, what will T

im pay at the register? (Round to the nearest penny)
Mathematics
1 answer:
PtichkaEL [24]2 years ago
7 0

Answer:

$95.77

Step-by-step explanation:

We are told that Tim wants to purchase a watch for $98.99.

He has a coupon that will discount the watch by 10%. So price of watch after using coupon will be,

\text{Price of watch after discount}=98.99-(98.99*\frac{10}{100})

\text{Price of watch after discount}=98.99-(98.99*0.10)

\text{Price of watch after discount}=98.99-9.899=89.091

Now let us find the price of watch after sales tax of 7.5%.

\text{Price of watch after sales tax}=89.091+(89.091*\frac{7.5}{100})

\text{Price of watch after sales tax}=89.091+(89.091*0.075)

\text{Price of watch after sales tax}=89.091+6.681825

\text{Price of watch after sales tax}=95.772825\approx 95.77

Therefore, Tim will pay $95.77 at the register.

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Under ideal conditions a certain bacteria population is known to double every three hours. Suppose that there are initially 100
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Answer:

the estimation of the size of the population after 20 hours is 10159

Step-by-step explanation:

The computation of the size of the population after 20, hours is shown below;

= 100  2^(20 by 3)

= 10159.36

If we divide 20 by 3 so it would give 6.66 that lies between 6 and 7

So the estimation of the size of the population after 20 hours is 10159

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To the nearest foot, what is the width of the arch 8 ft above the water?
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15 is the answer on edge

Step-by-step explanation:

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Amy has a box containing 6 white, 4 red, and 8 black marbles. She picks a marble randomly. It is red. The second time, she picks
kati45 [8]

Answer: The probability that the fourth marble Amy picks is black =\frac{8}{15}

The probability that in the fifth attempt she will pick a red or a black marble P(R∩B) =\frac{5}{7}


Step-by-step explanation:

To find  the probability that in the fifth attempt she will pick a red or a black marble P(R∩B) .

The total marble in beginning=6+4+8=18

After 3 attempts, the total  marbles left=18-3=15

The number of black marbles =8

The probability that the fourth marble Amy picks is black =\frac{8}{15}

As four marble has already picked up, then the total marbles left in the box

=18-4=14

Now, as a red marble is already picked in 1st attempt , the number of red marbles in the box now= 4-1=3

And a black marble is already picked in fourth attempt , the number of black marbles in the box now= 8-1=7

Now P(R∩B)=P(R)+P(B)=\frac{3}{14}+\frac{7}{14}=\frac{10}{14}=\frac{5}{7}

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2 years ago
three positive numbers are in Arithmetic Progression (A.P). the sum of the squares of the three numbers is 155. while the sum of
Alecsey [184]
Given:
Three numbers in an AP, all positive.
Sum is 21.
Sum of squares is 155.
Common difference is positive.

We do not know what x and y stand for.  Will just solve for the three numbers in the AP.
Let m=middle number, then since sum=21, m=21/3=7
Let d=common difference.
Sum of squares
(7-d)^2+7^2+(7+d)^2=155
Expand left-hand side
3*7^2-2d^2=155
d^2=(155-147)/2=4
d=+2 or -2
=+2  (common difference is positive)

Therefore the three numbers of the AP are
{7-2,7,7+2}, or
{5,7,9}


6 0
2 years ago
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