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astraxan [27]
2 years ago
10

PLEASE HELP, WILL MARK BRAINLIEST

Mathematics
1 answer:
Advocard [28]2 years ago
6 0

Answer:

principal of first loan = $7,000

principal of second loan = $5,000

Step-by-step explanation:

Let x = principal of first loan

Let y = principal of second loan

Given:

  • Interest rate on first loan = 8% = 0.08
  • Interest rate on second loan = 9% = 0.09
  • Total amount of interest paid = $1,010

Create two equations with the given information:

Equation 1:  x + y = 12000

Equation 2:  0.08x + 0.09y = 1010

Rewrite Equation 1:

⇒ x = 12000 - y

Substitute into Equation 2 and solve for y:

⇒ 0.08(12000 - y) + 0.09y = 1010

⇒ 960 - 0.08y + 0.09y = 1010

⇒ 0.01y = 50

⇒ y = 5000

Substitute found value of y into Equation 1 and solve for x:

⇒ x + 5000 = 12000

⇒ x = 7000

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umka2103 [35]

Answer:

<u>The altitude or height of the triangle is 6 meters.</u>

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Area of a triangle = 60 m²

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2. What is the altitude (h) of the triangle?

Let's recall that the formula of the area of a triangle is:

Area = (Base * Height)/2

Replacing with the real values, we have:

60 = (20 * Height)/2

60 * 2 = (20 * Height) (Multiplying by 2 at both sides)

120 = 20 Height

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3 years ago
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1

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3 years ago
a box of cereal weighs 550 g. There is enough cereal for 10 servings. How many grams of cereal are there per serving?
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Answer:

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Step-by-step explanation:

To find the number of grams per serving, we take to total grams and divide by the number of servings. The total grams is 550 and the number of servings is 10

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