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mote1985 [20]
3 years ago
9

John has $4000 in his savings account.each month he withdraws $70 from his account which is the type of function that models thi

s data
Mathematics
1 answer:
r-ruslan [8.4K]3 years ago
6 0

Answer:

y = 4000 - 70x

Linear function.

Step-by-step explanation:

Let x = number of weeks.

In 1 week, he withdraws $70.

That means -70 in 1 week.

After the second week, he will have withdrawn 2 times $70, or

-70 × 2

After 3 week, he will have withdrawn -70 × 3

After x weeks, he will have withdrawn $70 × x,or simply -70x.

He starts with 4000, so after x weeks, he has 4000 - 7x.

Let y = the amount of money at week x.

The equation is

y = 4000 - 70x

This is a linear function.

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(ASAPPP) The position of an object at time t is given by s(t) = -2 - 6t. Find the instantaneous velocity at t = 2 by finding the
prohojiy [21]

Answer:

The instantaneous velocity at t = 2 is -6.

Step-by-step explanation:

We have the position as the function

s(t) = -2 - 6t

As we know that the velocity is the rate of change of position over time, so it is basically the derivative of the function.

so finding the derivate of  s(t) = -2 - 6t

∴ s'(t)=-6

The instantaneous velocity at t = 2

s'(2)=-6

Therefore, the instantaneous velocity at t = 2 is -6.

Please note that the negative value indicates the direction of movement, in this case, it would be backward.

7 0
3 years ago
Alligators lay between 20 and 50 eggs in a nest. A park ranger in Everglades national park counted the number of eggs in 28 nest
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5 0
3 years ago
2. Check the boxes for the following sets that are closed under the given
son4ous [18]

The properties of the mathematical sequence allow us to find that the recurrence term is 1 and the operation for each sequence is

   a) Subtraction

   b) Addition

   c) AdditionSum

   d) in this case we have two possibilities

       * If we move to the right the addition

       * If we move to the left the subtraction

The sequence is a set of elements arranged one after another related by some mathematical relationship. The elements of the sequence are called terms.

The sequences shown can be defined by recurrence relations.

Let's analyze each sequence shown, the ellipsis indicates where the sequence advances.

a) ... -7, -6, -5, -4, -3

We can observe that each term has a difference of one unit; if we subtract 1 from the term to the right, we obtain the following term

        -3 -1 = -4

        -4 -1 = -5

        -7 -1 = -8

Therefore the mathematical operation is the subtraction.

b) 0. \sqrt{1}. \sqrt{4}, \sqrt{9}, \sqrt{16}, \sqrt{25}  ...

In this case we can see more clearly the sequence when writing in this way

      0, \sqrt{1^2}. \sqrt{2^2}, \sqrt{3^2 } . \sqrt{4^2} , \sqrt{5^2}

each term is found by adding 1 to the current term,

      \sqrt{(0+1)^2} = \sqrt{1^2} \\\sqrt{(1+1)^2} = \sqrt{2^2}\\\sqrt{(2+1)^2} = \sqrt{3^2}\\\sqrt{(5+1)^2} = \sqrt{6^2}

Therefore the mathematical operation is the addition

c)   ... \frac{-10}{2}. \frac{-8}{2}, \frac{-6}{2}, \frac{-4}{2}. \frac{-2}{2}. ...

      The recurrence term is unity, with the fact that the sequence extends to the right and to the left the operation is

  • To move to the right add 1

           -\frac{-10}{2} + 1 = \frac{-10}{2}  -   \frac{2}{2}  = \frac{-8}{2}\\\frac{-8}{2} + \frac{2}{2} = \frac{-6}{2}

  • To move left subtract 1

         \frac{-2}{2} - 1 = \frac{-4}{2}\\\frac{-4}{2} - \frac{2}{2} = \frac{-6}{2}

         

Using the properties the mathematical sequence we find that the recurrence term is 1 and the operation for each sequence is

   a) Subtraction

   b) Sum

   c) Sum

   d) This case we have two possibilities

  •  If we move to the right the sum
  •  If we move to the left we subtract

Learn more here: brainly.com/question/4626313

5 0
3 years ago
Can someone help me and explain it to me
Alex_Xolod [135]

Answer:

1) 6

2)4

3)27

4)126

5)15

Step-by-step explanation:

1. We need to see how many 8-miles are in 24 miles, than multiple it with 2in.

(24/8)*2=3*2=6in

2. Fist we calcue how many 17-feets are in 68feets, and multiple that with 1in.

(68/17)*1=4

3. We first see how many 3ins are in 9ins, and than multiple that with 9feet

(9/3)*9=3*9=27

4. First see how many 2ins are in 36ins, and then multiple it with 7.

(36/2)*7=18*7=126feet

5. See how many 15fts are in 75ft And than multiple it with 3.

(75/15)*3=5*3=15

4 0
3 years ago
Read 2 more answers
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