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Darya [45]
3 years ago
5

Suppose that a loan of $6000 is given at an interest rate of 9% compounded each year.

Mathematics
2 answers:
kirza4 [7]3 years ago
5 0

Answer: a) $6649

b) $7128.6

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1 + r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = 6000

r = 9% = 9/100 = 0.09

n = 1 because it was compounded once in a year.

a)

t = 1 year

Therefore,

A = 6000(1 + 0.09/1)^1 × 1

A = 6000(1.09)

A = $6649

b) t = 2 years

A = 6000(1.09)^2

A = $7128.6

lara [203]3 years ago
3 0

Answer:

  • $6540.00
  • $7128.60

Step-by-step explanation:

Each year, the balance is multiplied by (1+r) where r is the annual interest rate.

(a) Balance at the end of year 1:

  $6000×1.09 = $6540

(b) Balance at the end of year 2:

  $6540×1.09 = $7128.60

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fgiga [73]

Answer:

(- 3.5, 0.5 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

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Here (x₁, y₁ ) = (- 3, - 1) and (x₂, y₂ ) = (- 4, 2) , then

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3 years ago
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ruslelena [56]

Answer:

∠5 = 60°

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Step-by-step explanation:

Since the polygon is regular, you know that the central angle (7) is 1/3 of the circle, or 120°. The angle 5 is half that measure, so is 60°, and the angle 6 is the complement of angle 5, so is 30°. (Angle 6 is also half the inscribed angle at each vertex, said inscribed angle being 120°/2 = 60°.)

 ∠5 = 60°

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4 0
3 years ago
The question that follows this graph is:
azamat

Answer:

S'(5,-1), M'(1,-3)

Step-by-step explanation:

So, if the rotation is clockwise, the formula is (x,y)--->(-x,-y).

The original points are, (-1,3) and (-5,1).

Using the formula,

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For the question in the image, the reflection over the x-axis is..

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jek_recluse [69]
You distribute a 3/4 wherever you see a v
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12*3/4(10)
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Hope this helps
6 0
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Rama09 [41]

The pattern is divide by 4. First -80, then -20, then -5

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