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3 years ago

All swimming equipment is on sale with a 35% discount. A snorkeling set regularly sells for $60. Find the discount

Mathematics

2 answers:

r-ruslan [8.4K]3 years ago

7 0

0.35 * 60=21 so $21 is the discount.

Tanya [424]3 years ago

7 0

Answer:

The discount is $21 from the regularly price.

Step-by-step explanation:

To calculate the discount of the snorkeling set we have to multiply the selling price ($60) with the discount value (35 %) and divide it by 100 % to eliminate the percentage units. This is:

$\frac{60*35}{100} =21$

Having this we can calculate the discount value, that is $21.

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4 years ago

The 5th term in a geometric sequence is 40. The 7th term is 10. What is (are) the possible value(s) of the 4th term?

Lena [83]

Answer:

possible values of 4th term is 80 & - 80

Step-by-step explanation:

The general term of a geometric series is given by

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Given, 5th term is 40, we can write:

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Given, 7th term is 10, we can write:

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We can solve for a in the first equation as:

$ar^4=40\\a=\frac{40}{r^4}$

Now we can plug this into a of the 2nd equation:

$ar^6=10\\(\frac{40}{r^4})r^6=10\\40r^2=10\\r^2=\frac{10}{40}\\r^2=\frac{1}{4}\\r=+-\sqrt{\frac{1}{4}} \\r=\frac{1}{2},-\frac{1}{2}$

Let's solve for a:

$a=\frac{40}{r^4}\\a=\frac{40}{(\frac{1}{2})^4}\\a=640$

Now, using the general formula of a term, we know that 4th term is:

4th term = ar^3

Plugging in a = 640 and r = 1/2 and -1/2 respectively, we get 2 possible values of 4th term as:

$ar^3\\1.(640)(\frac{1}{2})^3=80\\2.(640)(-\frac{1}{2})^3=-80$

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