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In-s [12.5K]
3 years ago
7

Mr. Soto plans to open a savings account. Four banks offer the annual interest rates shown. Which list shows these interest rate

s in order from greatest to least?
3 1/2%, 3 2/3%, 3 3/5%, 3 3/8%
Mathematics
1 answer:
Delvig [45]3 years ago
6 0
Ok, so IDK if I'm about to do this problem right, but here we go;


so first, lets change these all to decimals (I more of a decimal gal)

3 1/2 = 3.5
3 2/3 = 3.6666 (repeating)
3 3/5 = 3.6
3 3/8 = 3.375

So now, just order them from greatest to least.  

3.66666, 3.6, 3.5, 3.375.  

Now, change them back to fractions.  
3 2/3, 3 3/5, 3 1/2, 3 3/8


So, if I'm correct, the answer is 3 2/3%, 3 3/5%, 3 1/2%, 3 3/8%
Hopefully I solved your problem! 
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Three balls are packaged in a cylindrical container as shown below. The balls just touch the top, bottom, and the sides of the c
lord [1]

Answer:

a. 5177 cm³

b. 3,451 cm³

c. 67%

Step-by-step explanation:

Given:

Diameter of each ball (d) = 13 cm

Radius of the ball (r) = radius of the cylinder = ½(13) = 6.5 cm

Height of the cylinder (h) = the sum of the diameters of the 3 balls = 3(13) = 39 cm

a. Volume of cylinder = πr²h

Plug in the values

Volume of cylinder = π*6.5²*39 = 5176.56 ≈ 5177 cm³

b. Total volume of the three balls = 3(volume of 1 ball) = 3(volume of sphere) = 3(⁴/3πr³)

Plug in the value

Total volume of the 3 balls = 3(⁴/3*π*6.5³) = 3(1150.35) = 3,451.05 ≈ 3,451 cm³

c. % of volume of the container occupied by the 3 balls = total volume of the three balls / volume of cylinder × 100

Plug in the values

= 3,451/5177 × 100

= 66.6602279

≈ 67%

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3 years ago
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