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yanalaym [24]
3 years ago
12

Evaluate the summation of 25 times 0.3 to the n plus 1 power, from n equals 2 to 10..

Mathematics
2 answers:
fiasKO [112]3 years ago
6 0
We are asked to evaluate the summation of 25 times 0.3 to the n plus 1 power, from n equals 2 to 10. In this case, we use a calculator with summation powers so as to accurately get the answer. Using a calculator, the asnwer is equal to 0.9643. 
melisa1 [442]3 years ago
6 0
<h3><u>Answer:</u></h3>

\sum_{2}^{10}25(0.3)^{n+1}=0.9642375

<h3><u>Step-by-step explanation:</u></h3>

We have to evaluate the expression:

\sum_{2}^{10}25(0.3)^{n+1}

i.e. it could also be written as:

25\sum_{2}^{10}(0.3)^{n+1}

i.e. we need to evaluate:

25[(0.3)^3+(0.3)^4+(0.3)^5+(0.3)^6+(0.3)^7+(0.3)^8+(0.3)^9+(0.3)^{10}+(0.3)^{11}]

Hence, this could be written as:

=25\times (0.3)^3[1+0.3^1+0.3^2+0.3^3+0.3^4+0.3^5+0.3^6+0.3^7+0.3^8]

Now, the series inside the parenthesis is a geometric series with first term as 1 and common ration as 0.3.

Hence, we could apply the summation of finite geometric series and get the answer.

We know that the sum of geometric series with n terms and common ratio less than 1  is calculated as:

S_n=a\times (\dfrac{1-r^n}{1-r})

Here a=1 and r=0.3

Hence the sum of geometric series is:

S_9=1\times (\dfrac{1-0.3^9}{1-0.3})\\\\S_9=1.4285

Hence, the final evaluation is:

=25\times (0.3)^3\times 1.4285\\\\=0.9642375

Hence,

\sum_{2}^{10}25(0.3)^{n+1}=0.9642375

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Alex

Answer:

what whats the question so I can answer

8 0
3 years ago
Jamie has 3 pounds of hamburger meat. He wants to make hamburger patties that each weigh 1/4 pound. What diagram could Jamie use
erastova [34]
I think it’s D. Each fraction strip represents a burger and they are cut into fourths to represent the 1/4 pound weight for each burger.
5 0
3 years ago
Read 2 more answers
I NEED HELP CROWN FOR RIGHT ANSWER
natta225 [31]

Answer:

D. $81,728

Step-by-step explanation:

Let's first convert pounds to ounces.

4 pounds x (16 ounces / pound) = <u>64 ounces.</u> (Remember that when we're converting from a larger unit, pounds, to a smaller one, ounces, we'll have more ounces than pounds, so this answer makes sense!)

Let's now get the cost of the gold.

64 oz x ($1277 / oz) = <u>$81,728.</u> (Wow, that's a lot of gold!)

5 0
2 years ago
7
natulia [17]

Answer:

diagonal = = 12.8 inches (to the nearest tenth of an inch)

Step-by-step explanation:

As shown in the diagram attached to this solution:

Let the Length of the rectangular board = a

Let the width = b

Let the diagonal = d

where:

a = 10 inches

b = 8 inches

d = ?

Triangle ABC in the diagram is a right-angled triangle, therefore, applying Pythagoras theorem:

(hypotenuse)² = (Adjacent)² + (Opposite)²

d² = 10² + 8²

d² = 100 + 64

d² = 164

∴ d = √(164)

d = 12.806 inches

d = 12.8 inches (to the nearest tenth of an inch)

<em>N:B Rounding off to the nearest tenth of an inch is the same as rounding off to 1 decimal place.</em>

3 0
3 years ago
Solve. x /5 + 3 = 2 A) -5 B) 25 C) 5 D) - 1/5 <br><br> help me
Ilia_Sergeevich [38]
X/5 + 3 = 2
x+15=10
x=-5
Ans : A
8 0
2 years ago
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