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MakcuM [25]
3 years ago
10

Order the ratios from least to greatest: 7:2, 12:4, 20:6, 21:14, 10:5

Mathematics
2 answers:
kow [346]3 years ago
8 0
The correct answer is 21/14, 10/5, 12/3, 20/6, 7/2
creativ13 [48]3 years ago
3 0
7:2 least
10:5
12:4
20:6
21:14 greatest
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to the nearest tenth cm^3 what is the volume of a sphere with a length of 2.40 cm a width of 2.40 cm and a height of 2.40 cm
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The volume of a sphere is

V = 4/3 (pi) r^3

Supposing "length" as diameter

We can take the radius

2.40/2

1.2 is the radius of the sphere.

Inserting the radius into the formula

V = 4/3 (pi) 1.2^3

The volume is aproximately 7.24cm^3

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Question 10
antoniya [11.8K]

Answer:

$11,500 was invested at 13%.

$17,500 was invested at 4%

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

E = P*I*t

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

T = E + P

In this question:

Loans totaling 29,000.

P was invested at 13%

29000 - P was invested at 4%.

First investment:

Principal P.

Interest 13% = 0.13.

One year, so t = 1.

So

E_{1} = P*0.13*1

E_{1} = 0.13P

Second investment:

Principal 29000 - P.

Interest 4% = 0.04.

One year, so t = 1.

So

E_{2} = (29000-P)*0.04

The total interest earned for both loans was $2,195.00.

This means that E_{1} + E_{2} = 2195

So

E_{2} = 2195 - E_{1}

So we solve the following system:

E_{1} = 0.13P

E_{2} = (29000-P)*0.04

2195 - E_{1} = (29000-P)*0.04

2195 - 0.13P = 1160 - 0.04P

0.09P = 2195 - 1160

P = \frac{2195 - 1160}{0.09}

P = 11500

$11,500 was invested at 13%.

29000 - 11500 = 17500

$17,500 was invested at 4%

5 0
3 years ago
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