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Artist 52 [7]
1 year ago
14

!!

Mathematics
1 answer:
Luba_88 [7]1 year ago
5 0

Answer:

<u>$2142.86</u>

Step-by-step explanation:

The remaining part of her money, after spending 3/5 of it and depositing 1/8 of it is equal to $750.

===============================================================

Retracing the steps :

⇒ She put 1/8 of the remainder in the bank, which gives $750

⇒ R - R/8 = 750

⇒ 7R/8 = 750

⇒ R = 750/7 × 8

⇒ R = 107.142857 × 8

⇒ R = 857.142856

* Don't worry, we'll simplify at the end of the answer *

=============================================================

Now, this remainder is what was left after spending 3/5 of it.

⇒ T - 3/5T = 857.142856

⇒ 2/5T = 857.142856

⇒ T = 857.142856/2 × 5

⇒ T = 428.571428 × 5

⇒ T = <u>$2142.86</u> (nearest cent)

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Given a geometric sequence in the table below, create the explicit formula and list any restrictions to the domain.
Makovka662 [10]

Given:

The geometric sequence is:

n              a_n

1                        -4

2                      20

3                     -100

To find:

The explicit formula and list any restrictions to the domain.

Solution:

The explicit formula of a geometric sequence is:

a_n=ar^{n-1}            ...(i)

Where, a is the first term, r is the common ratio and n\geq 1.

In the given sequence the first term is -4 and the second term is 20, so the common ratio is:

r=\dfrac{a_2}{a_1}

r=\dfrac{20}{-4}

r=-5

Putting a=-4,r=-5 in (i), we get

a_n=-4(-5)^{n-1} where n\geq 1

Therefore, the correct option is B.

5 0
3 years ago
Pleasee help marking brainlest
noname [10]

Answer:

See below in bold.

Step-by-step explanation:

The cost of what he wants to buy = 4.25 + 0.89 + 10.99

= $16.13

a) He does have enough to buy everything.

b) He has  20 - 16.13 = $3.87 left over.

7 0
3 years ago
Can you please help me on -5(x+2)=-(-5x+1)-x
PilotLPTM [1.2K]

Answer:

x = -1

Step-by-step explanation:

<u>Step 1:  Distribute</u>

-5(x + 2) = -(-5x + 1) - x

-5x - 10 = 5x - 1 - x

<em>-5x - 10 = 4x - 1</em>

<em />

<u>Step 2:  Solve for x</u>

-5x - 10 + 5x = 4x - 1 + 5x

-10 + 1 = 9x - 1 + 1

-9 / 9 = 9x / 9

<em>-1 = x</em>

<em />

Answer:  x = -1

7 0
2 years ago
One of the angles of a regular dodecagon is 150°. What is the sum of the measures of all the interior angles of this dodecagon?
Kamila [148]

Answer:

D

Step-by-step explanation:

i think so but it will help you

8 0
3 years ago
Is -15/2 a irrational number
Eduardwww [97]
No because it is equal to -7.5 I think
4 0
3 years ago
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