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4 years ago

I don't know how to approach it, I've been looking at my notes and I can't grasp it.

Mathematics

1 answer:

JulijaS [17]4 years ago

5 0

Answer:

Step-by-step explanation:

You can skip directly to the formula for the sum of an infinite sequence with first term a₁ and common ratio r:

S = a₁/(1-r)

Your values of the variables in this formula are a₁ = 6 and r = 2/8. Putting these into the formula gives ...

S = 6/(1 -2/8) = 6/(6/8) = 8

The sum of the infinite geometric sequence is 8.

_____

The above formula is the degenerate form of the formula for the sum of a <em>finite</em> sequence:

S = a₁((rⁿ -1)/(r -1))

<em>When the common ratio r has a magnitude less than 1</em>, the term rⁿ tends to zero as n gets very large. When that term is zero, the sum of the infinite sequence is ...

S = a₁(-1/(r-1)) = a₁/(1-r)

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Write the expression 53.7124 x 10^{3} as a single number

mars1129 [50]

Answer:

53712.4

Explanation:

$\sf\rightarrow 53.7124\:x\:10^3$

10³ = 1000

$\sf\rightarrow 53.7124\:x\:1000$

$\sf\rightarrow 53712.4$

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2 years ago

Read 2 more answers

(1 pt) Which graphs show the solution to the given inequalities? Column A Column B 1. 2. 3. 4. A. Number line with positive and

ladessa [460]

I don't know but its at the tip of my tounge

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3 years ago

When The length of each leg is 1 unit, the ratio of the hypotenuse to the leg is?

Musya8 [376]

Answer:

$\sqrt{2}$

Step-by-step explanation:

Both legs are equal, which implies the triangle is a 45-45-90.

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3 years ago

You paid $44 to a loan company for the use of $1,153 for 119 days, what annual rate of interest did they charge? (Assume a 360-d

Zigmanuir [339]

Answer:

Ans. A) The annual rate that the company charged was 11.996%; B) if they charged you 11.186% annual rate, you would have to pay $41.14

Step-by-step explanation:

Hi, first we have to find out what is the effective 119 days rate and then turn it into an annual rate. This is as follows.

$r(Effective119Days)=\frac{44}{1,153} x100=0.038161$

So the charged rate was 3.816% effective, 119 days, now let´s make it an annual rate.

$r(annual)=(1+0.038161)^{\frac{360}{119} } -1=0.119965$

This means that the equivalent rate to 3.816% effective 119 days ys 11.996% effective annually (or just annual).

Now, if they were to charge you 11.186% annual, you would have to make this rate effective 119 days, and then, multiply it by the principal ($1,153). Let´s change the rate first.

$r(Effective119Days)=(1+0.11186)^{\frac{119}{360} -1}=0.03568$

And the money that you will have to pay in interest is $1,153*0.03568=$41.14

Best of luck

7 0

3 years ago

What type of triangle is shown in the figure?

Ivan

Exacty two sides are congruent so its an Isosceles triangle

5 0

3 years ago