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larisa [96]
3 years ago
10

Can someone help me with these 2 last homework questions Thanks

Mathematics
1 answer:
Eva8 [605]3 years ago
6 0
31a) Think of $30.90 as 100% of her bill, we first want to find 6%
To work out how much this is, we need to divide the percentage by 100 to get a multiplier (decimal)
6/100 = 0.06
Multiply 0.06 and $30.90 to get the tax
$30.90 x 0.06 = 1.854
As we can't have part of a cent, we round to the nearest 100th
If the number to the right of this value is below 5 we round down, 5 or more we round up
4 is below 5 so we round down
$1.85

31b) For the total bill, we need to add together the original and the tax
$30.90 + $1.85 = $32.75

32a) Simple Interest = PRT
This means
P x R x T
We need to multiply together the Principal, Rate and Time span
We need to turn the percentage into a decimal, so we divide by 100 like before
3.2 / 100 = 0.032
$750 x 0.032 x 6 = $144

32b) To find the account balance, we need to add the interest to the original amount
$750 + $144 = $894
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Carlos bought a $235 water heater with his credit card. He used the water heater for five years before replacing it. He paid off
Mazyrski [523]

First we will find the interest on:


P = $235 principal


t = 2 years


r = 0.1415 annual rate


A = future value 


I = A - P the interest


A = P(1 + r)^t


A = 235(1 + 0.1415)^2


A = $306.21


I = A - P


I = $306.21 - $235


I = $71.21


the interest was $71.21.



Next lets find the lifetime cost value:


Lifetime cost value = 306.21 + 5*1.56*52 + 5*0.78*52 = $914.61 (considering that 1 year = 52 weeks)



Now lets find the percentage what percentage the interest is of the lifetime cost:


(71.21/914.61)*100 = 7.79%

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3 0
3 years ago
Graph a line that contains (-6,1) and has the slope of 5
xeze [42]

Answer:

y - 1 = 5(x+6)

y - 1 = 5x + 30

y = 5x + 29

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Ronal asked 100 students to choose their favorite subject from among mathematics history and our she found that 22 students kill
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I think 52% of students chose art

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If line y bisects AC, AB = 4-5x, and BC =2x+25, AC
jolli1 [7]
4 - 5x = 2x + 25
4 = 7x + 25
-21 = 7x
-3 = x

4 - 5x + 2x + 25 = ac
4 - 5(-3) + 2(-3) + 25 = ac
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7 0
3 years ago
The Surface Area of a square pyramid is 3600 ft. The slant height is 80 feet and the base is 20 feet. At most how many 1 foot cu
amm1812

Answer:

10,583 flexible cubes

9915 rigid cubes

Step-by-step explanation:

The equation for the surface area of a square pyramid is area of base plus perimeter of base multiplied by the slant height

Surface area = A + 1/2·p·s

The volume of the pyramid = 1/3×A×h

Where:

A = Area of the base = 20 × 20 = 400 ft²

h = The height of the pyramid = √((slant height)² - ((base side length)/2)²)

h = √(80² - (20/2)²) = 30·√7

The volume of the pyramid = 1/3*400*30·√7 = 4000·√7 ft³ = 10,583.005 ft³

If the cubes are flexible, approximately 10,583 cubes

For rigid cubes we have

Given that the height of the pyramid = 30·√7

The slope of the pyramid = 30·√7/10 = 3·√7

So an increase in height of 1 foot gives a reduction in width of 2/(3·√7)

The bottom can hold 400 cubes

The next layer can hold 19×19 = 361

3rd 361

4th 361

5th 324

6th 324

7th 324

8th 324

9th

Continuing, we get a total of about 9915 rigid cubes in the pyramid.

3 0
3 years ago
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