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3 years ago

Plzzzzz help will give brainlyist

Mathematics

1 answer:

nikdorinn [45]3 years ago

6 0

Answer:

Step-by-step explanation:

You do 12 x 3 which is 36.

you then do 1/3 x 3 which is 1.

36-1 is 35.

you then do 4x3 which is 12.

you then do 12-5 which is 7.

you then do 35÷7=5

this is why it is 5.

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Several terms of a sequence {an}n=1 infinity are given. A. Find the next two terms of the sequence. B. Find a recurrence relatio

s344n2d4d5 [400]

Answer:

A) $\frac{1}{1024},\frac{1}{4096}$

B) $\left\{\begin{matrix}a(1)=1 & \\ a(n)=a(n-1)*\frac{1}{4} &\:for\:n=1,2,3,4,... \end{matrix}\right.$

C) $\\a_{n}=nq^{n-1} \:for\:n=1,2,3,4,...$

Step-by-step explanation:

1) Incomplete question. So completing the several terms: $\left \{a_{n}\right \}_{n=1}^{\infty}=\left \{ 1,\frac{1}{4},\frac{1}{16},\frac{1}{64},\frac{1}{256},... \right \}$

We can realize this a Geometric sequence, with the ratio equal to:

$q=\frac{1}{4}$

A) To find the next two terms of this sequence, simply follow multiplying the 5th term by the ratio (q):

$\frac{1}{256}*\mathbf{\frac{1}{4}}=\frac{1}{1024}\\\\\frac{1}{1024}*\mathbf{\frac{1}{4}}=\frac{1}{4096}\\\\\left \{ 1,\frac{1}{4},\frac{1}{16},\frac{1}{64},\frac{1}{256},\mathbf{\frac{1}{1024},\frac{1}{4096}}\right \}$

B) To find a recurrence a relation, is to write it a function based on the last value. So that, the function relates to the last value.

$\left\{\begin{matrix}a(1)=1 & \\ a(n)=a(n-1)*\frac{1}{4} &\:for\:n=1,2,3,4,... \end{matrix}\right.$

C) The explicit formula, is one valid for any value since we have the first one to find any term of the Geometric Sequence, therefore:

$\\a_{n}=nq^{n-1} \:for\:n=1,2,3,4,...$

6 0

3 years ago

6. Using Table 11-2 from your text, calculate the present value (principal) and the compound interest given: Compound Amount = $

storchak [24]

Answer:

The Principal is $877.19 And Compound Interest is $372.81

Step-by-step explanation:

Given as :

Amount after investment = $1250

The time period of investment = 6 years

The nominal rate = 6% compounded semiannually

Let the principal = P

From compounded method

Amount = Principal × $(1 + \frac{Rate}{2\times 100})^{2\times Time}$

Or, $1250 = P × $(1 + \frac{6}{2\times 100})^{2\times 6}$

Or, $1250 = P × $(1.03)^{12}$

Or, $1250 = P × 1.425

∴ P = $\frac{1250}{1.425}$

I.e P = $877.19

So , Principal = $877.19

Now, Compound Interest = Amount - Principal

= $1250 - $877.19

Or, CI = $372.81

Hence The Principal is $877.19 And Compound Interest is $372.81 Answer

8 0

3 years ago

I need helppp on my test and i can't get it wrongggg

Artyom0805 [142]

Answer:

Perimeter = 16x + 16

Area = 40x + 15

Step-by-step explanation:

Perimeter = the sum of all the side lengths

Perimeter = 2(8x+3) + 2(5) = 16x + 6 + 10 = 16x + 16

Area = product of base times height

Area = (8x+3)*5 = 40x + 15

6 0

3 years ago

Roberto brought 413 boxes of carrot muffins for a bake sale. Jose brought 3 34 boxes of apple muffins.

77julia77 [94]

I believe the answer is D

8 0

3 years ago

Two angles of a triangle have the same measure and the third angle is 72degrees greater than the measure of the other two. find

Illusion [34]

The two shorter angles = 36 degrees.

The longer anger = 108 degrees.

Let me know if you would like me to explain how I got this.

5 0

3 years ago