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aleksandr82 [10.1K]
3 years ago
13

Question 1 (1 point)

Mathematics
1 answer:
Naily [24]3 years ago
8 0

Answer:

P ( -1, -3)

Step-by-step explanation:

Given ratio is AP : PB = 3 : 2 = m : n  and points A(5,6) B(-5,-9)

We will calculate coordinates of the point P which divides line segment AB  in the following way:

xp = (n · xa + m · xb) / (m+n) = (2 · 5 + 3 · (-5)) / (3+2) = (10-15) / 5 = -5/5 = -1

xp = -1

yp = (n · ya + m · yb) / (m+n) = (2 · 6 + 3 · (-9)) / (3+2) = (12-27) / 5 = -15/5 = -3

yp = -3  

Point P( -1, -3)

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Find the total in the account with the following facts monthly contributions =$180 employer matching 25% interest rate 4.99% yea
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The amount that will be in the account after 38 years is $ 36811,05

Step-by-step explanation:

a)

For resolved this exercise used the next equation

R(1-(1 + i)--) Ap = ... (1)

Ap = Amount in account

R = Paid monthly

i = Monthly interest rate

t = Months for paid

Dates

i=- 2.05% 12 = 0,1708% = 0.0017

The interest is divided for 12 because is annual and the formula is mensual

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R(1-(1 + i)-) Ap =

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The amount that will be in the account after 15 years is $ 95,321.85

b)

R(1-(1 + i)--) Ap = ... (1)

Ap = Amount in account

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i = Monthly interest rate

t = Months for paid

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The interest is divided for 12 because is annual and the formula is mensual

t = 38yearsx12 = 456 months

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R(1-(1 + i)-) Ap =

Ap = 180(1-(1 + 0.0041) -456 0.0041

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The amount that will be in the account after 38 years is $ 36811,05

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