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ASHA 777 [7]
3 years ago
12

A local bookstore has a sale on all their paperbacks giving a 10% discount. You also received a coupon in the mail for $4 off yo

ur purchase. If you buy 2 paperbacks at $8 each, is it less expensive for you to apply the discount before the coupon or after the coupon?
Mathematics
1 answer:
oee [108]3 years ago
3 0

Answer:

Discount before the Coupon

Step-by-step explanation:

The cost of two paperbacks at $8 each=2 X $8 =$16

First, we determine for the case in which the coupon is applied first.

If the $4 Coupon is applied,

Cost=$16-$4 = $12

If the 10% discount is further applied,

Amount to be paid = $12-(10% of $12) =$12-1.2= $10.8

However if the discount is applied first,

Book Cost=$16-(10% of $16)=16-1.6=14.4

If the Coupon is then applied,

Amount to be paid= $(14.4-4)=$10.4

Since $10.4 is less than $10.8, we conclude therefore that it is less expensive to apply the discount first.

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liubo4ka [24]

Answer:

The speed in of the plane is 115.47 m/sec

Step-by-step explanation:

Given:

Height at which the plane is flying = 6000 m

Angle of elevation at the radar base = 30 Degrees

Angle of elevation at the radar base after one minute  = 60 Degrees

To Find:

The Speed of the plane in meter per second = ?

Solution:

Let us use the tangent of the angle to find the distance (d) to a point directly below plane:

<u>when the angle is 30 degrees</u>

tan(30) = \frac{6000}{d1}

d1   = \frac{6000}{tan(30)}

d1 = \frac{6000}{0.577}

d1 = 10392.3 meters

<u>when the angle is 60 degrees</u>

tan(60) = \frac{6000}{d2}

d2  = \frac{6000}{tan(60)}

d2  = \frac{6000}{1.732}\\

d2 = 3464.1 meters

<u>distance travelled by aircraft in 1 min is  </u>

=>d1 - d2

=>0392.3 - 3464.1

= 6928.2 m/min

<u>Now converting to m/sec</u>

=>\frac{6928.2}{60}

=>115.47 m/sec

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The answer are below, the work is show step by step.

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