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2 years ago

Which budget item does not necessarily include monthly expenses?

Mathematics

1 answer:

BlackZzzverrR [31]2 years ago

8 0

I believe that medical expenses isn't include into monthly expenses.

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Find a formula for the general term an of the sequence, assuming that the pattern of the first few terms continues. (Assume that

mezya [45]

Answer:

The formula to the sequence

-5, 10/3, -20/9, 40/27, -80/81, ...

(-1)^n. 5×2^(n-1). 3^(1-n)

For n = 1, 2, 3, ...

Step-by-step explanation:

The sequence is

-5, 10/3, -20/9, 40/27, -80/81, ...

By inspection, we see the following

- The numbers are alternating between - and +

- The numerator of a number is twice the numerator of the preceding number. The first number is 5.

- The denominator of a number is 3 raised to the power of (1 minus the position of the number)

Using these, we can write a formula for the sequence.

(-1)^n for n = 1, 2, 3, ... takes care of the alternation between + and -

5×2^(n-1) for n = 1, 2, 3, ... takes care of the numerators 5, 10, 20, 40, ...

3^(1-n) for n = 1, 2, 3, ... takes care of the denominators 1, 3, 9, 27, ...

Combining these, we have the formula to be

(-1)^n. 5×2^(n-1). 3^(1-n)

For n = 1, 2, 3, ...

8 0

2 years ago

Abel and Cedric will share a total of $180. Abel will receive half as much as Cedric. What amount. in dollars, will Cedric recei

Black_prince [1.1K]

Answer:

Cedric's share=$120

Abel's share=$60

Step-by-step explanation:

Abel will receive half as much as Cedric

Let

Cedric's share=x

Abel's share = 1/2 of x

Total money=$180

x + 1/2x = 180

2x+x/2 =180

3/2x=180

Divide both sides by 3/2

x= 180÷3/2

=180 × 2/3

=360/3

=120

Therefore,

Cedric's share = x = 120

Abel's share=1/2x

=1/2 × 120

=120/2

=60

Cedric's share=$120

Abel's share=$60

4 0

2 years ago

ali is cutting a circular pizza into serving sized sections he uses a long knife to be sure that he cut he makes in the pizza ar

erik [133]

Answer:

1. Ali makes three straight long cuts along the diameter of the pizza.

2. Ali makes two straight long cuts along the diameter of the pizza.

Step-by-step explanation:

5 0

1 year ago

Ben has 18 pears. Sophia has a number of pears two less than Ben. How many pears Sophia has?

Serggg [28]

18 pears subtract by 2 wich will equal 16 pears...

18-2=16

7 0

2 years ago

Read 2 more answers

Leona purchased a $1,000 bond having a quoted price of 99.875. She had to pay a 5.5% brokerage fee (of the selling price). What

Zina [86]

Answer:

The total cost of the bond is none of the given choices.

Step-by-step explanation:

The selling price of a $1000 bond = $99.875

The brokerage fee = 5.5 %

Now, 5.5% of $99.875 = $\frac{5.5}{100} \times 99.875 = 5.493$

So, the brokerage fee = $5.493

Now, to find out the total cost of the bond:

Total Cost = The selling Price + Brokerage Price

= $99.875 + $5.493

= $105.368

or, the total price of the $1000 bond is $ 105.368.

Hence, the total cost of the bond is none of the given choices.

7 0

2 years ago