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3 years ago

What is an ordinary annuity?

Mathematics

2 answers:

masha68 [24]3 years ago

7 0

Answer:

An ordinary annuity is a series of equal payments made at the end of consecutive periods over a fixed length of time. The opposite of an ordinary annuity is an annuity due, in which payments are made at the beginning of each period.

Step-by-step explanation:

Paladinen [302]3 years ago

4 0

An ordinary annuity is a series of equal payments made at the end of consecutive periods over a fixed length of time

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Expand and simplify -2(x + 4x^2) + 3(x^2 + 2x)

Vlad1618 [11]

......................

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2 years ago

Prove that an = 4^n + 2(-1)^nis the solution to

olga nikolaevna [1]

Answer:

See proof below

Step-by-step explanation:

We have to verify that if we substitute $a_n=4^n+2(-1)^n$ in the equation $a_n=3a_{n-1}+4a_{n-2}$ the equality is true.

Let's substitute first in the right hand side:

$3a_{n-1}+4a_{n-2}=3(4^{n-1}+2(-1)^{n-1})+4(4^{n-2}+2(-1)^{n-2})$

Now we use the distributive laws. Also, note that $(-1)^{n-1}=\frac{1}{-1}(-1)^n=(-1)(-1)^{n}$ (this also works when the power is n-2).

$=3(4^{n-1})+6(-1)^{n-1}+4(4^{n-2})+8(-1)^{n-2}$

$=3(4^{n-1})+(-1)(6)(-1)^{n}+4^{n-1}+(-1)^2(8)(-1)^{n}$

$=4(4^{n-1})-6(-1)^{n}+8(-1)^{n}=4^n+2(-1)^n=a_n$

then the sequence solves the recurrence relation.

4 0

3 years ago

Select the Like Terms in this expression

sesenic [268]

Answer:

5, 2x2 and 4

Step-by-step explanation:

Terms are expressions or characters that are separated by a plus or minus sign.

therefore, the terms are 3x, 5, 2x2 and 4

like terms have the same have the same variables or no variables attached to them.

like terms = 5, 2x2, and 4

Note: 2x2 = 4

8 0

3 years ago

36 : 52 = __:__<br> a) 18:26<br> b) 2:3<br> d) 2:2<br> d 9:13

kogti [31]

The answer to the following question is letter D

3 0

3 years ago

Yoga classes are offered 2 days a week for 6 weeks at both the community center and the local gym. The cost for the classes at t

s344n2d4d5 [400]

Regina can take yoga classes at community center as it would cost her less money.

Step-by-step explanation:

No. of classes per week = 2

Classes in 6 weeks = 2*6 = 12 classes

Cost of classes at community center = $72

Additional one time fee = $12

Total cost at community center = 72+12 = $84

Cost per class at local gym = $8

Cost of 12 classes = 12*8 = $96

Regina can take yoga classes at community center as it would cost her less money.

Keywords: addition, multiplication

Learn more about addition at:

#LearnwithBrainly

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4 years ago