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Marianna [84]
3 years ago
7

Write an explicit furmula for the question below 40 points!!!!!!!!!!!!!

Mathematics
1 answer:
Usimov [2.4K]3 years ago
8 0

Answer:

aₙ = a₁ . 5⁽ⁿ⁻¹⁾

Step-by-step explanation:

The first term in the sequence is a₁ = 6.

a₂ = 30. a₃ = 150.

We see that each consecutive term is multiplies by 5 to arrive at the next term.

That is: a₂ = 30 = a₁ . $ 5^{2 - 1}  = 5 $ = 6.5 = 30.

Similarly, a₃ = 150 = 6 $ \times $ $ 5^{3 - 1} = 5^2 = 25 $

Generalizing this, we have:

aₙ = a₁ . $ 5^{n - 1} $

This is called the recursive formula of the sequence.

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Jen Anderson takes out a mortgage for $120,000. This is a loan of 30 years at $500 per month. This gives a total interest cost o
velikii [3]
APR=(2yc)÷(m×(n+1))
APR=(2×12×60,000)÷(120,000×(360+1))
=0.0332×100=3.32%
7 0
3 years ago
Read 2 more answers
The function f(x) = (x - 4)(x - 2) is shown.
agasfer [191]

Answer:

all real numbers greater than or equal to -1

Step-by-step explanation:

In order to solve this problem we need to know the vertex and the direction its pointing.

First we expand,

x^2-6x+8

To find the x value of the vertex we use this formula (-b/2a).

-(-6)/2(1) = 3

Now we plug 3 in the equation to get the y value,

(3)^2 - 6(3) + 8 = 9 - 18 + 8 = -1

The vertex is (3,-1)

We know the graph points up because x^2 is positive

The vertex is the lowest point, so we now know that -1 is the starting range and if the graph is pointing up, that means all values greater than -1.

This leads to our answer all real numbers greater than or equal to -1.

6 0
3 years ago
12. Find the surface area of each figure to the nearest tenth.
Zolol [24]

Answer:

  12a. 471.2 cm²

  12b. 60 m²

Step-by-step explanation:

Part A.

The surface area of each figure is the sum of the end area and the lateral area.

  <u>cylinder</u>

  S = (2)(πr²) +2πrh = 2πr(r +h)

  S = 2π(5 cm)(5 cm +10 cm) =150π cm² ≈ 471.2 cm²

__

  <u>triangular prism</u>

  S = (2)(1/2)bh + PL . . . . b=triangle base; h=triangle height; P=triangle perimeter; L=length of prism

  S = (4 m)(1.5 m) + ((4 + 2·2.5) m)(6 m) = (6 + 54) m² = 60 m²

_____

Part B.

Surface area is useful in the real world wherever products are made from sheets of material or wherever coverings are applied.

Carpeting or other flooring, paint, wallpaper are all priced in terms of the area they cover, for example.

The amount of material used to make containers in the shapes shown will depend on the area of these containers (and any material required for seams).

6 0
3 years ago
What is the area and perimeter. please answer asap ​
Airida [17]

Answer:

Perimeter: 24

Area: 1105.92

Step-by-step explanation:

Perimeter:

Add up all of the numbers

Area:

Multiply all of the numbers

(I'll redo it if this isn'twhat you meant by)

7 0
3 years ago
Two jets leave an air base at the same time and travel in opposite directions. One jet travels 94 mi/h slower than the other. If
maw [93]

Answer:

1478 mi/h  

Step-by-step explanation:

The rate of change is the distance divided by the time.

\text{Rate of change} = \dfrac{\text{distance}}{\text{time}} = \dfrac{\text{2956 mi}}{\text{2 h}} = \textbf{1478 mi/h}

4 0
3 years ago
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