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marissa [1.9K]
3 years ago
6

Chuck chooses an investment plan that requires him to make a one-time investment of $10,000, and then equal monthly investments

of $350 for the next 5 years. The function y = 10,000 + 350x represents the total amount in dollars Chuck will have invested, y, in relation to the number of months elapsed, x.
Which statements about this function are true?



a)The function is a linear function.

b)The function is a nonlinear function.

c)The function is an increasing function.

d)The function is a decreasing function.

e)The function changes at a constant rate.
Mathematics
2 answers:
Pepsi [2]3 years ago
8 0

As the function is

y = 10,000 + 350x , Here x is the number of months elapsed and y is the amount after x number of months.

This function is for the form

y = mx +b or y = b +mx

which is the form of a linear equation

So the given function is a linear function.

So a is true

a)The function is a linear function.

Also The function is increasing at a constant rate , So options C and E are also correct

So

A, C and E

PilotLPTM [1.2K]3 years ago
5 0

Answer:

<h2>A, C and E are correct.</h2>

Step-by-step explanation:

The given function is

y=10,000+350x

Where y is the total amount of money and x is months.

<em>What the function states is that Chuck started with $10,000 and then, he began to save $350 per month.</em>

An important fact is that this function is linear, because both variables as the unit as exponent. In consequence, the graph of the function is a straight line.

Additionally, this is an increasing function, because the coefficient of the variable is positive.

Finally, this function has a constant rate of change, which is a characteristic of linear functions, its rate is $350 per month.

Therefore, the right answers are a, c and e.

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5. Find the squares of the following numbers by using the formula of (a + b)' or (a-b]². c) 98​
Dmitrij [34]

98^2 = (100-2)^2

Using (a-b)^2, we have

= (100)^2-2(100)(2)+(2)^2

= 10000-400+4

= 10004-400

= 9604

The answer is 9604.

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3 years ago
Marco needs to climb up to the roof of his house. He placed his ladder so that the bottom of
8090 [49]

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12.4 feet

Step-by-step explanation:

A ladder placed against the wall forms a right angle triangle

Hypotenuse ² = opposite ² + adjacent ²

Hypotenuse = 13 feet

Opposite = 4 feet

Adjacent = x

Hypotenuse ² = opposite ² + adjacent ²

13² = 4² + x²

169 = 16 + x²

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6 0
2 years ago
216 divided by 31
Aleksandr-060686 [28]

Answer:

6 r 30

Step-by-step explanation:

Step 1:

Start by setting it up with the divisor 31 on the left side and the dividend 216 on the right side like this:

             

 3 1 ⟌ 2 1 6

Step 2:

The divisor (31) goes into the first digit of the dividend (2), 0 time(s). Therefore, put 0 on top:

       0    

 3 1 ⟌ 2 1 6

Step 3:

Multiply the divisor by the result in the previous step (31 x 0 = 0) and write that answer below the dividend.

       0    

 3 1 ⟌ 2 1 6

      0    

Step 4:

Subtract the result in the previous step from the first digit of the dividend (2 - 0 = 2) and write the answer below.

       0    

 3 1 ⟌ 2 1 6

     - 0    

       2    

Step 5:

Move down the 2nd digit of the dividend (1) like this:

       0    

 3 1 ⟌ 2 1 6

     - 0    

       2 1  

Step 6:

The divisor (31) goes into the bottom number (21), 0 time(s). Therefore, put 0 on top:

       0 0  

 3 1 ⟌ 2 1 6

     - 0    

       2 1  

Step 7:

Multiply the divisor by the result in the previous step (31 x 0 = 0) and write that answer at the bottom:

       0 0  

 3 1 ⟌ 2 1 6

     - 0    

       2 1  

         0  

Step 8:

Subtract the result in the previous step from the number written above it. (21 - 0 = 21) and write the answer at the bottom.

       0 0  

 3 1 ⟌ 2 1 6

     - 0    

       2 1  

     -   0  

       2 1  

Step 9:

Move down the last digit of the dividend (6) like this:

       0 0  

 3 1 ⟌ 2 1 6

     - 0    

       2 1  

     -   0  

       2 1 6

Step 10:

The divisor (31) goes into the bottom number (216), 6 time(s). Therefore put 6 on top:

       0 0 6

 3 1 ⟌ 2 1 6

     - 0    

       2 1  

     -   0  

       2 1 6

Step 11:

Multiply the divisor by the result in the previous step (31 x 6 = 186) and write the answer at the bottom:

       0 0 6

 3 1 ⟌ 2 1 6

     - 0    

       2 1  

     -   0  

       2 1 6

       1 8 6

Step 12:

Subtract the result in the previous step from the number written above it. (216 - 186 = 30) and write the answer at the bottom.

       0 0 6

 3 1 ⟌ 2 1 6

     - 0    

       2 1  

     -   0  

       2 1 6

     - 1 8 6

         3 0

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 216 divided by 31 calculated using Long Division is:

6

30 Remainder

8 0
2 years ago
Can someone please help me with all the questions?
ICE Princess25 [194]

Answer:

Here you go. It was much simpler than it looked.

Explanation:

Start\\ a^{2}+b^{2}=c^{2}\\ 9^{2}+12^{2}=c^{2}\\ 81+144=c^{2} \\ 225 = c^{2} \\ \sqrt{225} = \sqrt{c}^{2}\\   15 = c\\ c = 15

<u>Consider Brainliest! Hope I helped!</u>

8 0
2 years ago
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