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GalinKa [24]
3 years ago
7

40:10 = 12 : Equivalent ratio

Mathematics
1 answer:
Alex73 [517]3 years ago
5 0
40:10=12:3


Solution:

Since
40 : 10 = 12 : X

Then we know
10/40 = X/12

Multiplying both sides by 12 cancels on the right
12 × (10/40) = (X/12) × 12
12 × (10/40) = X

Then solving for X
X = 12 × (10/40)
X = 3

Therefore
40 : 10 = 12 : 3
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Dimensions of the rectangle (width and length) are 19 cm and 31 cm respectively.

Step-by-step explanation:

  • Step 1: Given that the perimeter = 100 cm, let width be x cm and then length = 12 + x.

Perimeter of a rectangle = 2(length + width)

100 = 2(x + 12 + x)

100 = 4x + 24

4x = 100 - 24 = 76

∴ x = 76/4 = 19 cm

∴ Length = 19 + 12 = 31 cm

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4 years ago
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Rick is buying a small sailboat for $3,000 with a down payment of $1,000. The bank approved a simple interest flat rate loan for
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Option C

Monthly loan payment is $ 93.33

<em><u>Solution:</u></em>

From given question,

Cost of sailboat = $ 3000

Down payment = $ 1000

<em><u>Hence net principal is given as:</u></em>

net principal = p = $ 3000 - $ 1000 = $ 2000

p = $ 2000

The bank approved a simple interest flat rate loan for 2 years at 6% APR

Hence number of years = 2 years

Rate of interest = 6 %

<em><u>Let us first calculate the simple interest</u></em>

The formula for simple interest is given as:

\text{ simple interest } = \frac{ p \times n \times r}{100}

Substituting the given values,

\text{ simple interest } = \frac{ 2000 \times 2 \times 6}{100}\\\\\text{ simple interest } = 20 \times 2 \times 6 = 240

Thus simple interest = $ 240

Total amount payable = principal + simple interest

Total amount payable = $ 2000 + $ 240

Total amount payable = $ 2240

<em><u>How much are the monthly loan payments?</u></em>

Here number of years = 2 years

To calculate the monthly payment divide the total amount payable by 24 (since 2 year = 24 months )

\text{ Monthly loan payment } = \text{ Total amount payable } \div 24

\text{ Monthly loan payment } = \frac{2240}{24} = 93.33

Thus monthly loan payment is $ 93.33 Option C is correct

4 0
3 years ago
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