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Alja [10]
3 years ago
10

Paige borrows $700 from her parents for a new computer. She repays $100 the first month, then begins to repay her parents $75 pe

r month. Which recursive formula models the total amount of money still owed, mc022-1.jpg?

Mathematics
2 answers:
GrogVix [38]3 years ago
7 0
The recursive formula that models the amount owed is
an = a(n-1) -75; a1 = 600. 
This formula is for AFTER the first month of payment, this is why the first term is 700-100 = 600. This also means that n > 1.
Blababa [14]3 years ago
5 0

Answer:

Option B is correct

a_n = a_{n-1}-75 ; a_1 = 600

Step-by-step explanation:

The recursive formula for the arithmetic sequence is given by:

a_n = a_{n-1}+d              .....[1]

where,

d is the common difference.

n is the number of terms.

As per the statement:

Paige borrows $700 from her parents for a new computer.

She repays $100 the first month, then begins to repay her parents $75 per month.

Now, she only has to pay back after then,  $700 - $100 = $600

then,  begins to repay her parents $75 per month.

The sequence we get;

600, 525, 450, ....

This is the arithmetic sequence.

here, a_1 = 600

and d = -75

Since,

525-600 = -75

450-525 = -75 and so on...

Substitute the given values in [1] we have;

a_n = a_{n-1}-75

Therefore, the recursive formula models the total amount of money still owed is:

a_n = a_{n-1}-75 ; a_1 = 600

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A large community college has professors and lecturers the total number of faculty members is 136.The school reported that they
Alona [7]

Answer:

  48

Step-by-step explanation:

The ratio of professors to lecturers is ...

  P : L = 6 : 11

Then the ratio of professors to total faculty is ...

  P : (P+L) = 6 : (6+11) = 6 : 17

That is, professors make up 6/17 of the total faculty. Their number is ...

  P = (6/17)·136 = 48

The Community College employs 48 professors.

4 0
3 years ago
Which property of multiplication is used in the multiplication below?
olasank [31]
Zero property because you are using zeros to multiply
4 0
3 years ago
Which of the following is not a property of a chi-square distribution?
laiz [17]

Answer:

c) Is not a property (hence (d) is not either)

Step-by-step explanation:

Remember that the chi square distribution with k degrees of freedom has this formula

\chi_k^2 = \matchal{N}_1^2 +  \matchal{N}_2^2 + ... + \, \matchal{N}_{k-1}^2 +  \matchal{N}_k^2

Where N₁ , N₂m .... N_k are independent random variables with standard normal distribution. Since it is a sum of squares, then the chi square distribution cant take negative values, thus (c) is not true as property. Therefore, (d) cant be true either.

Since the chi square is a sum of squares of a symmetrical random variable, it is skewed to the right (values with big absolute value, either positive or negative, will represent a big weight for the graph that is not compensated with values near 0). This shows that (a) is true

The more degrees of freedom the chi square has, the less skewed to the right it is, up to the point of being almost symmetrical for high values of k. In fact, the Central Limit Theorem states that a chi sqare with n degrees of freedom, with n big, will have a distribution approximate to a Normal distribution, therefore, it is not very skewed for high values of n. As a conclusion, the shape of the distribution changes when the degrees of freedom increase, because the distribution is more symmetrical the higher the degrees of freedom are. Thus, (b) is true.

6 0
3 years ago
Plz help plzzzzzzzzzz
Ivenika [448]
I think because the number of blocks is different, but the proportion of space can be filled in the same. 
7 0
3 years ago
Read 2 more answers
Solve for x<br><br> X/6 = 10<br><br> A) X = 4<br> B) X = 10<br> C) X = 16<br> D) X = 60
Lina20 [59]

hi  

x/6 = 10

In a equation , you can use every math operation you know as long as you do the same thing on both sides.  

Here we have   x/6 = 10  

But what I want is  x .  

Here X is split in 6.  So  I 'm going to multiplicate all by 6 to find the original amount of X  

In bold operation that are often not written but that you must understand to do that kind of exercices.

So  :  x/6 = 10

      (x/6) *6  = 10 *6

        6x/6 =  60

             x = 60

4 0
3 years ago
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