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rodikova [14]
2 years ago
12

Item 5 Item 5

Mathematics
1 answer:
olga_2 [115]2 years ago
4 0

Answer: the value of the annuity when you retire is $130919

Step-by-step explanation:

We would apply the future value which is expressed as

FV = C × [{(1 + r)^n - 1}/r]

Where

C represents the yearly payments.

FV represents the amount of money

in your account at the end of 10 years.

r represents the annual rate.

n represents number of years or period.

From the information given,

r = 7% = 7/100 = 0.07

C = 20/100 × 47400 = $9480

n = 10 years

Therefore,

FV = 9480 × [{(1 + 0.07)^10 - 1}/0.07]

FV = 9480 × [{1.967 - 1}/0.07]

FV = 9480 × 13.81

FV = $130919

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REY [17]

Answer:

9.93

Step-by-step explanation:

Secant-Tangent theorem tells us that the product of the secant segment with its external segment is equal to the square of the tangent segment.

From the diagram, we can say (let the unknown part of secant line, the part left of the segment length 5, be y):

(15+y)(10) = 17^2

Solving for y we get:

(15+y)(10) = 17^2\\150+10y=289\\10y=289-150\\10y=139\\y=13.9

Now we can use the chord theorem to solve for x. Chord theorem tells us that when 2 intersecting chords create 4 segments, the product of the individual chord segments are equal. Thus we can say:

5 * 13.9 = 7 * x

Now solving, we get:

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Thus x = 9.93

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3 years ago
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dedylja [7]

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A pentagon has two exterior angles that measure (3x)°, two exterior angles that measure (2x+22)°, and an exterior angle that mea
DiKsa [7]

Answer:

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