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zubka84 [21]
3 years ago
9

The harbor at Green Top Lake has a lot of green algae at the end of the summer. However, as the weather gets colder, the algae b

egins to die. At the beginning of the fall, the harbor has 150,000 square feet of algae. Half of the algae dies per month.

Mathematics
1 answer:
Bumek [7]3 years ago
3 0

Answer:

Step-by-step explanation:

5)))

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Paul has $20,000 to invest. His intent is to earn 11% interest on his investment. He can invest part of his money at 8% interest
hjlf

Answer:

In the 8% option , $5,000 should be invested

In the 12% option, $15,000 should be invested

Step-by-step explanation:

Let’s start with the total return.

Since the total return expected is 11%, the amount expected to be returned will be;

11/100 * 20,000 = $2,200

Now, let the amount invested at 8% interest be $x while the amount invested at 12% interest be $y

Mathematically;

x + y = 20,000 ••••••(i)

Now let’s work with the interest part;

On the 8% part, amount of interest expected is 8/100 * x

on the 12% part, amount of interest expected is 12/100 * x

8% of $x + 12% of $y = 2,200

Writing this fully mathematically, we have;

(8/100 * x) + (12/100 * y) = 2,200

8x/100 + 12y/100 = 2,200

Multiply through by 100

8x + 12y = 220,000 ••••••(ii)

Now we have two equations to solve simultaneously;

x + y = 20,000

8x + 12y = 220,000

From i, x = 20,000-y

Substitute this into ii

8(20,000-y) + 12y = 220,000

160,000-8y + 12y = 220,000

4y = 220,000 - 160,000

4y = 60,000

y = 60,000/4

y = $15,000

x = 20,000 -y

x = 20,000 - 15,000

x = $5,000

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4 years ago
(a) Use the scale to change 40 kilometres to miles.
Nimfa-mama [501]

Answer:

<h2>24.85 miles</h2><h2>40 Km is 24.85 miles</h2>

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Answer the question
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The unit rate in this problem is one payment per month. Since Martha has made 86 payments, that means it has been 86 months. Because of that, we can simply multiply 3335*86 to get 286810.

So she so far has paid $286,810 for her house payment

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3 years ago
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