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2 years ago

9

Find the amount of each payment necessary to amortize the following loan.

1 answer:

Sonbull [250]2 years ago

3 0

Use the formula of the present value of annuity ordinary
The formula is
Pv=pmt [(1-(1+r/k)^(-kn))÷(r/k)]
Pv present value 84700
Pmt payment per quarter ?
R interest rate 0.10
K compounded quarterly 4
N time 9 years
We need to solve for pmt
Pmt=pv÷ [(1-(1+r/k)^(-kn))÷(r/k)]
Pmt=84,700÷((1−(1+0.10÷4)^(−4
×9))÷(0.10÷4))=3,595.65

Hope it helps

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Convert the complex number z = 4 - 10i from rectangular form to polar form.

mrs_skeptik [129]

ANSWER

$r = 2 \sqrt{29} ( \cos(292 \degree) + \sin(292 \degree))$

EXPLANATION

The polar form of a complex number ,

$z = x + yi$

is given by:

$z = r( \cos( \theta) + i \sin( \theta) )$

where

$r = \sqrt{ {x}^{2} + {y}^{2} }$

The given complex number is:

$z = 4 - 10i$

$r = \sqrt{ {4}^{2} + {( - 10)}^{2} }$

$r = \sqrt{16 + 100}$

$r = \sqrt{116} = 2 \sqrt{29}$

And

$\theta= \tan^{ - 1}(\frac{ y}{x} )$

$\theta= \tan^{ - 1}(\frac{ - 10}{4} )$

$\theta= 292 \degree$

Hence the polar form is :

$r = 2 \sqrt{29} ( \cos(292 \degree) + \sin(292 \degree))$

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2 years ago

What is 23 – 7x + 6 + 8x = 26

harina [27]

Answer: x = -3

Step-by-step explanation: hope this helps

23 – 7x + 6 + 8x = 26

x + 29 = 26

x + 29 - 29 = 26 - 29

x = 26 - 29

x = -3

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Answer:

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