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nikdorinn [45]
3 years ago
10

Katie wants to buy a bracelet. She only has $30 to spend. She has found a bracelet with a regular price of $45 and a discount of

35%. If the sales tax is 7%, will she have enough to buy the bracelet? If so, how much money will Katie have left? If not, how much more money will she need?
Mathematics
1 answer:
11111nata11111 [884]3 years ago
5 0

Given :

Money Katie has, M = $30.

She has found a bracelet with a regular price of $45 and a discount of 35%.

The sales tax is 7%.

To Find :

Will she have enough to buy the bracelet.

Solution :

Original price = $45 .

Price after discount = $( 45 - 45×0.35) = $29.25 .

Selling Price = $( 29.25 + 29.25×0.07 ) = $31.2975 .

Since, selling price is greater than $30.

Money needed = $( 31.2975 - 30 ) = $1.2975 .

Therefore, Katie will not buy the bracelet.

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1 year ago
12. The World Health Organization has ranked the U.S._____ for A variety of quality measurements
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One pound of swordfish costs as much as 1.5 pounds of salmon. Mrs. O pays $39 for 2 pounds of salmon and 3 pounds of swordfish.
Dimas [21]

Answer:

The ratio of the amount for swordfish to the amount of salmon is 6:4

Step-by-step explanation:

Given as :

The price for 1 pound of swordfish = The price of 1.5 pound of salmon

So, On this relation

The price for ( 1 × 2 ) pound of swordfish = The price of ( 1.5× 2 )  pound of salmon

i.e The price for 2 pound of swordfish = The price of 3 pound of salmon

Now According to question

Mrs. O pay the total money for 2 pounds of swordfish and 3 pound of salmon = $ 39

Let the money she pay for swordfish = 2 sw

And The money she pay for salmon = 3 sa

∵, The total money she pay for both  = $ 39

I.e  2 sw + 3 sa = 39

As 2 sw = 3 sa

So, 3 sa + 3 sa = 39

Or, 6 sa = 39

or, sa = \frac{39}{6} = \frac{13}{2}

∴ sw = \frac{13}{2} × \frac{3}{2}

or, sw = \frac{39}{4}

Now, the ratio of the amount for swordfish to the amount of salmon = \frac{\frac{39}{4}}{\frac{13}{2}}

I.e The ratio = \frac{6}{4}

Hence The ratio of the amount for swordfish to the amount of salmon is 6:4

Answer

3 0
3 years ago
A box with a square and a closed top must have a volume of 125 cubic inches. Find the dimensions of the box that minimize the am
attashe74 [19]
If a box has a square base its volume will be:

V=hb^2  where h is the height...

h=V/b^2  we are told that V=125 so

h=125/b^2  now for the surface area, which consists of the two bases for a total of 2b^2.  It will also have four sides with a total area of 4(bh)=4bh so

A=2b^2+4bh, using h found above in this gives us:

A=2b^2+4b(V/b^2)

A=2b^2+4V/b

A=(2b^3+4V)/b, then taking the derivatives we can find the velocity of the area function.

dA/db=(6b^3-2b^3-4V)/b^2

dA/db=(4b^3-4V)/b^2

dA/db=0 when 4b^3-4V=0

b^3=V

b=V^(1/3), since V=125

b=5in, and since h=V/b^2

h=125/25=5in

So the dimensions that will minimize the amount of material used to enclose a volume of 125in^2 is a 5in cube.

h=b=5in
8 0
3 years ago
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