1. What is the present value of a deferred annuity of ₱2,500.00 every 3 months for 8 years

Mathematics

1 answer:

sleet_krkn [62]3 years ago

6 0

Hello there mate :)

Try checking the attached 3 images for the answers of your questions. All have been explained.

Hope it helps you ...

~ Benjemin360

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3 years ago

Show the equation what is 3/5 of 6000

andrey2020 [161]

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3 years ago

In an arithmetic sequence, the sum of the 3rd and 8th term is 1. Given that the sum of the first seven terms is 35, determine th

Ann [662]

Answer:

<h3> first term: <u>a₁ = 14</u></h3><h3> the common difference: <u>d = -3</u></h3>

Step-by-step explanation:

The sum of the 3rd and 8th term is:

$a_3+a_8=1\\\\a_1+2d+a_1+7d=1\\\\\underline{2a_1+9d=1}$

The sum of the first seven terms is 35:

$S_7=35\\\\\dfrac{a_1+a_7}2\cdot7=35\\{}\qquad\quad^{\div7\qquad\div7}\\ \dfrac{a_1+a_1+d}2=5\\{}\qquad\qquad^{\cdot2\qquad\cdot2}\\2a_1+6d=10\\{}\qquad\ ^{\div2\qquad\div2}\\a_1+3d=5\\{}\quad\ ^{-3d\quad\ -3d}\\a_1=5-3d$

$2a_1+9d=1\\\\2(5-3d)+9d=1\\\\10-6d+9d=1\\{}\qquad\qquad^{-10\quad-10}\\{}\qquad3d=-9\\{}\qquad^{\div3\qquad\div3}\\{}\qquad d=-3\\\\\\a_1=5-3(-3)=5+9=14$

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3 years ago