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r-ruslan [8.4K]
3 years ago
9

Anton works at the First National Bank. His employer offers him a pension retirement plan, which will be 1.45% of his average sa

lary for the last 5 years of employment times the number of years worked. Anton is planning on retiring at the end of this year after 22 years of employment. His salaries for the last 5 years are $92,000, $92,800, $99,000, $100,500 and $105,000. Calculate Anton's pension. (Do not enter $ or comma in your answer.)
Mathematics
1 answer:
shepuryov [24]3 years ago
5 0

Answer:

31217.34

Step-by-step explanation:

92000+92800+99000+100500+105000=489300/5=97860 avg salary

97860X.0145=1418.97x22=31217.34

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Radium-226 has a half life of 1622 years. If you start off with a 200
sweet [91]

Answer:

≈23.6 kg left.

Step-by-step explanation:

For determining this, we can simply use an exponential decay equation representing this scenario:

y= a(0.5)^{\frac{t}{h} }

a: the initial amount

t: the amount of time

h: the half life

Now, substitute the numbers into the equation:

y=200(0.5)^{\frac{5000}{1622} }

Now, solve this equation:

y=220(0.5)^{3.08}

Use a calculator to solve for y:

y= 200(0.118)

y≈23.6 kg left.

3 0
3 years ago
Please answer fast I don’t understand
schepotkina [342]

√(10) = 3.16 but it asks you to approximate to the nearest integer.

3.16 to the nearest integer = 3

Your answer should be 3

6 0
4 years ago
Is a triangle with sides 7 feet, 12 feet, and 14 feet a right, acute or obtuse triangle?
tresset_1 [31]

Answer:

Acute

Step-by-step explanation:

This should be an acute triangle because if this was a right angle, then the three sides should be figured out by the Pythagorean Theorem.

An obtuse angle wouldn't be right either, you need an angle to be over 90.

7 0
3 years ago
What is the approximate volume of a cone with a height of 6mm and radius of 18 use 3.14 to approximate pi
Mandarinka [93]

Hello from MrBillDoesMath!

Answer:

2035.8  (approximately)

Discussion:

The volume of a cone or radius r and height h is given by the formula:

Volume = (1/3) Pi * r^2 * h. In our case this is:

V = (1/3) Pi * (18)^2 * 6

   =(1/3) Pi * 324 * 6                      => 324/3 = 108

   = 108 * 6 Pi                                 => 108 *6 = 648

   = 648 * Pi                                    => approximating Pi by 3.14

   = 648 * 3.14

   = 2035.8  (approximately)

Thank you,

MrB

5 0
3 years ago
YO PLZ HELP ASAP!!! MARKIN BRAINIEST!!!
elixir [45]

Answer:

The above function will get the minimum value at the value of p =14 ....

Step-by-step explanation:

Take the derivative of the given function with p and equate to zero to minimize the given function.

c(p) = p^2 - 28p + 250

(d/dp) c(p) = (d/dp)p^2 - 28p + 250 = 2p-28

(d/dp) c(p) = 0

2p-28  = 0

Move the constant to the R.H.S

2p = 28

Divide both sides by 2

2p/2 = 28/2

p = 14

The above function will get the minimum value at the value of p =14 ....

7 0
3 years ago
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