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meriva
2 years ago
13

Miguel spent $6 on Saturday morning and another $9 on Saturday afternoon. How much less money did he have at the end of the day

than at the beginning? Use integer addition to determine your answer .
Mathematics
1 answer:
stiv31 [10]2 years ago
3 0

Answer:

Step-by-step explanation:

0=

-6

-9=

-6+-9=

-15

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You can spend at most $60 on beads. A bag containing red beads costs $2 per bag. A bag containing blue beads costs $3 per bag. Y
nexus9112 [7]
For this case, the first thing we must do is define variables.
 We have then:
 x: number of blue beads
 y: number of red beads
 We now write the inequations system:
 3x + 2y  \leq  60

x\ \textgreater \  y
 Answer:
 a system of linear inequations that represents the situation is:
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8 0
2 years ago
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The Dallas Development Corporation is considering the purchase of an apartment project for $100,000. They estimate that they wil
katovenus [111]

Answer:

  • <u>The rate of return is 8.15%</u>
  • <u>This is a good investment</u>

<u></u>

Explanation:

For the first question, you need to find the rate that makes the present value of a stream of ten constant annual payments of $15,000 equal to the $100,000 investment.

The formula that returns the present value of a constant payment is called the annuity formula and is:

      Present\text{ }value=payment\times \bigg[\dfrac{1}{r}-\dfrac{1}{r(1+r)^t}\bigg]

In your problem you know:

  • Present value: $100,000
  • payment: $15,000
  • r: ?
  • t: 10

You cannot solve for r directly. You must guess a value and calculate the right side of the equation until to you find the rate that makes it equal to 100,000.

Try 5%:

       \$15,000\times \bigg[\dfrac{1}{0.05}-\dfrac{1}{0.05(1+0.05)^{10}}\bigg]=\$115,826

Then, the rate of return is greater than 5%. After several trials you will find that the rate of return is 8.15%.

Since this rate is higher than 8%, which is what the company requires, this is a good investment.

5 0
3 years ago
What is the inverse of the function f(x) = 2x + 1?
timama [110]

Answer:

  (a)  h(x) = 1/2x -1/2

Step-by-step explanation:

The inverse of the function y = f(x) is found by solving x = f(y).

__

<h3>setup</h3>

  x = f(y)

  x = 2y +1 . . . . . . use the definition of f(x)

<h3>solution</h3>

  x -1 = 2y . . . . . subtract 1

  (x -1)/2 = y . . . . divide by 2

  y = 1/2x -1/2 . . . . eliminate parentheses

  h(x) = 1/2x -1/2 . . . write in functional form

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  h(x) = 1/2x -1/2

5 0
1 year ago
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aleksklad [387]

Answer:

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Mia scored 6 baskets Last Saturday.

4 0
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let us assume that make inclination θ

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