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Sergio [31]
3 years ago
6

Chloe has two pyramid shaped paperweights that have the same height and cross-sectional area. which of the following best descri

bes the relationship between the paperweights according to Cavalieri's principle?
Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
7 0
According to Cavalieri's principle, if two solids have the same height an the same cross-sectional area at every level, then they have the same volume. So the statement that would best describe the relationship between the paperweights according to Cavalieri's principle is that, t<span>he volumes of the paperweights are the same. Hope this helps.</span>
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John invested $4,500 at 5.5% annual simple interest. His maturity value of his investment was $5,545. How long did John invest t
mart [117]

John invested the money at simple interest for 4.22 years.

We have,

Invested amount = $ 4500

Rate of interest = 5.5 %

Time = t years

Maturity value = $ 5545

So,

Total interest earned =  $ 5545 - $ 4500 = $ 1045

And,

Simple interest = (Principal × Rate × Time ) / 100

So, Using the mentioned formula,

1045 = ( 4500 × 5.5 × t ) /100

1045 = 45 × 5.5 × t

⇒

t = (1045) / (45 × 5.5)

⇒ t = 4.22 years

Therefore, John invested the money at simple interest for 4.22 years.

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6 0
2 years ago
If you borrow money from a bank, you pay the bank __________________ . Why?
Amiraneli [1.4K]

Answer:

interest

Step-by-step explanation:

you need to pay the bank interest because the bank needs to make money too, just like everyone

4 0
3 years ago
Given that these simultaneous equations
Tatiana [17]

The value of k is(3\sqrt{ 10})/2

<h3>How to solve the simultaneous equation?</h3>

Given:

x-y=k.............(eq i)

2x²+y²-15..............(eq ii)

We would make y the subject formula in eq ii

2x²+y²-15= 0

2x² + y²= 15

y²= 15-2x²

y= \sqrt{15-2x^2}...........(eq iii)

Substitute the value of y into eq i

x-(\sqrt{15-2x^2}= k

x- (\sqrt{15} - 2x= k

k= (3\sqrt{ 10})/2

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3 0
2 years ago
The minimum wage in 2007 was $7.50. The current minimum wage is $13.00. What is the percent of
Nana76 [90]
2007 $7.50. 100%
2021. $13.00. X%
X=100•13/7.5
X=173.33 %
173.33-100%=73.33%
Rounded to nearest tenth 73.3%
3 0
3 years ago
Which of the quadratic functions has the narrowest graph? y = –2x2 y=-1/2x^2 y = –4x2 y=1/7x^2
vovikov84 [41]
Look at the coefficient of x², ignore the positive or negative sign. The larger the coefficient, the narrower the graph. 
in this case, the coefficients are -2, -1/2, -4, and 1/7
ignore the positive or negative sign, 4 is the largest number, so y=-4x² is the narrowest.

Note: the positive/negative sign tells you whether the graph opens upward or downward. It doesn't determine the width of the graph. 

5 0
3 years ago
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