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ira [324]
3 years ago
13

a x − y = b a ⁢ x − y = b Which of the following equations are equivalent to the equation above? Select all that apply.

Mathematics
1 answer:
krek1111 [17]3 years ago
8 0
They are all equivalent
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An insurance company has written 52 policies of $50,000, 477 of $25,000, and 918 of $10,000
Ede4ka [16]

The amount of money that the company can expect to pay during the year the policies were written is; $25005

<h3>How to find the expected Value?</h3>

The probability that a person will die at age 20 = 0.001

Revenue from 52 policies = 52 * $75,000 = $3,900,000

Revenue from 477 policies = 477 * $25,000 = $11,925,000

Revenue from 918 policies = 918 * $10,000 = $9,180,000

Total revenue from all policies = $3,900,000 + $11,925,000 + $9,180,000

Total Revenue from all Policies = $25,005,000

Expected amount to pay out during the year the policies were written =  $25,005,000* 0.001 = $25,005

Thus, the company can expect to pay out $45,000 over the year after the policies were written.

Read more about Expected Value at; brainly.com/question/19168423

#SPJ2

8 0
2 years ago
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A rectangular box has a length of 8 feet and a width of 2 feet. The length of the three-dimensional diagonal is 10 feet. What is
harkovskaia [24]

Answer: h=5.66ft

Step-by-step explanation:

Observe the picture attached.

Find the value of "x" and "y" using the Pythagoren Theorem:

a^2=b^2+c^2

If you solve for "a":

a= \sqrt{b^2+c^2}

Where "a" is the hypotenuse and "b" and "c" are the legs.

In this case, for "x" you know that:

a=x\\b=8ft\\c=2ft

Then, the value of "x" is:

x=\sqrt{(8ft)^2+(2ft)^2}\\\\x=8.24ft

For "y" you can see that:

a=10ft\\b=8.24ft\\c=h

Subsituting values and solving for h, you get:

(10ft)^2=(8.24ft)^2+h^2\\\\h=\sqrt{(10ft)^2-(8.24ft)^2} \\\\h=5.66ft

3 0
4 years ago
10×+2=7 what is equal to 2x?
lakkis [162]
x in (-oo:+oo)&#10;&#10;2/7 = 2*x // - 2*x&#10;&#10;2/7-(2*x) = 0&#10;&#10;2/7-2*x = 0&#10;&#10;2/7-2*x = 0 // - 2/7&#10;&#10;-2*x = -2/7 // : -2&#10;&#10;x = -2/7/(-2)&#10;&#10;x = 1/7&#10;&#10;x = 1/7
3 0
3 years ago
Read 2 more answers
I need help.. i really want to go sleep.. thank you so much...
Effectus [21]

Answer:

1) True 2) False

Step-by-step explanation:

1) Given  \sum\limits_{k=0}^8\frac{1}{k+3}=\sum\limits_{i=3}^{11}\frac{1}{i}

To verify that the above equality is true or false:

Now find \sum\limits_{k=0}^8\frac{1}{k+3}

Expanding the summation we get

\sum\limits_{k=0}^8\frac{1}{k+3}=\frac{1}{0+3}+\frac{1}{1+3}+\frac{1}{2+3}+\frac{1}{3+3}+\frac{1}{4+3}+\frac{1}{5+3}+\frac{1}{6+3}+\frac{1}{7+3}+\frac{1}{8+3} \sum\limits_{k=0}^8\frac{1}{k+3}=\frac{1}{3}+\frac{1}{4}+\frac{1}{5}+\frac{1}{6}+\frac{1}{7}+\frac{1}{8}+\frac{1}{9}+\frac{1}{10}+\frac{1}{11}

Now find \sum\limits_{i=3}^{11}\frac{1}{i}

Expanding the summation we get

\sum\limits_{i=3}^{11}\frac{1}{i}=\frac{1}{3}+\frac{1}{4}+\frac{1}{5}+\frac{1}{6}+\frac{1}{7}+\frac{1}{8}+\frac{1}{9}+\frac{1}{10}+\frac{1}{11}

 Comparing the two series  we get,

\sum\limits_{k=0}^8\frac{1}{k+3}=\sum\limits_{i=3}^{11}\frac{1}{i} so the given equality is true.

2) Given \sum\limits_{k=0}^4\frac{3k+3}{k+6}=\sum\limits_{i=1}^3\frac{3i}{i+5}

Verify the above equality is true or false

Now find \sum\limits_{k=0}^4\frac{3k+3}{k+6}

Expanding the summation we get

\sum\limits_{k=0}^4\frac{3k+3}{k+6}=\frac{3(0)+3}{0+6}+\frac{3(1)+3}{1+6}+\frac{3(2)+3}{2+6}+\frac{3(3)+4}{3+6}+\frac{3(4)+3}{4+6}

\sum\limits_{k=0}^4\frac{3k+3}{k+6}=\frac{3}{6}+\frac{6}{7}+\frac{9}{8}+\frac{12}{8}+\frac{15}{10}

now find \sum\limits_{i=1}^3\frac{3i}{i+5}

Expanding the summation we get

\sum\limits_{i=1}^3\frac{3i}{i+5}=\frac{3(0)}{0+5}+\frac{3(1)}{1+5}+\frac{3(2)}{2+5}+\frac{3(3)}{3+5}

\sum\limits_{i=1}^3\frac{3i}{i+5}=\frac{3}{6}+\frac{6}{7}+\frac{9}{8}

Comparing the series we get that the given equality is false.

ie, \sum\limits_{k=0}^4\frac{3k+3}{k+6}\neq\sum\limits_{i=1}^3\frac{3i}{i+5}

6 0
4 years ago
Fill in the boxes?? Thank youuu
yarga [219]

Answer:

-8 and the next box is -3

Im pretty sure thats right

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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