2 years ago

5. Refer to the figure shown. Determine the measure of

Mathematics

1 answer:

alukav5142 [94]2 years ago

8 0

Answer:

you haven't posted any diagram

Step-by-step explanation:

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On a map, 1 inch equals 10 miles. Two cities are 8 inches apart on the map. What is the actual distance between the cities?

cestrela7 [59]

Answer:

80 inches the reason for this is 10 times 8 equals 80

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2 years ago

What is the sum of the geometric series

lbvjy [14]

If $S$ denotes the sum of the first $n$ terms of a geometric series with first term $a$ and common ratio $r$ , then

$S=a+ar+ar^2+\cdots+ar^{n-3}+ar^{n-2}+ar^{n-1}$
$rS=ar+ar^2+ar^3+\cdots+ar^{n-2}+ar^{n-1}+ar^n$
$\implies S-rS=a+(ar-ar)+(ar^2-ar^2)+\cdots+(ar^{n-1}-ar^{n-1})-ar^n$
$\implies (1-r)S=a(1-r^n)$
$\implies S=a=\dfrac{1-r^n}{1-r}$

Using summation notation, you have

$S=\displaystyle\sum_{x=1}^nar^{x-1}=\sum_{x=0}^{n-1}ar^x=a\dfrac{1-r^n}{1-r}$

In this case, you have $a=2$ , $r=\dfrac12$ , and $n=16$ . So the value of the sum is

$\displaystyle\sum_{x=0}^{15}2\left(\frac14\right)^x=2\dfrac{1-\left(\frac14\right)^{16}}{1-\frac14}\approx2.67$

Rounded to the nearest whole number, the answer would be 3.

4 0

3 years ago

Read 2 more answers

you go shopping and your bill comes to $54. The sales tax added on equals 7%. What is the amount of sales tax added to you bill?

Andreyy89

7.78 is the sales tax’s

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3 years ago

How much money will you have if you started with $45 and put it in an account that earned 10% every year for 20 years

Veronika [31]

Probably it's all wrong
4.5 = 10 %If is the same then 4.5*20+45=135
If not then
FV=P(1+r)n45* (1+0.1)20 = 45*6.727=302.737

6 0