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12345 [234]
3 years ago
15

The city of Minerva pays $916 per year for health insurance for each of its municipal employees. What is the total cost that the

city pays per year for health insurance?
Mathematics
1 answer:
Musya8 [376]3 years ago
5 0

Complete question is;

The city of Minerva pays $916 per year for health insurance for each of its 72 municipal employees. What is the total cost that the city pays per year for health insurance?

Answer:

$65952

Step-by-step explanation:

We are told that the city of Minerva pays $916 per year for health insurance for each of its municipal employees.

Now, we are told that there are 72 municipal employees.

This means each of them earn $916 per year.

Thus;

Total cost that the city pays per year for health insurance = 916 × 72 = $65952

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(a) For what values of k does the function y = cos(kt) satisfy the differential equation 81y'' = −4y? (Enter your answers as a c
In-s [12.5K]

Answer:

k = \frac{2}{9}, k=\frac{-2}{9}

Step-by-step explanation:

The first case is a special case of the second one, so we will solve the question for the second case first.

Consider y = A\sin(kt) + B\cos(kt). Using the properties of derivatives and the derivatives of trigonometric functions we get that

y' = A\cdot k \cos(kt)- B \cdot k \sin(kt) = k (A\cos(kt)-B\sin(kt))

y'' = k(-A\cdot k \sin(kt)-B\cdot k \cos(kt)) = -k^2(y)

We have the equation 81y''=-4y. Note that since y'' = -k^2ythen we have the equation

-k^2 81y=-4y,

which implies that k^2 = \frac{4}{81}. Then, k=\pm\frac{2}{9}

Note that in this case, the value of k doesn't depend on the values of A and B. So, it applies to every value of A and B. The first case is included, since it is the case in which A=0 and B=1.

5 0
3 years ago
Bob leaves the school walking home at the speed 3mph. At the same time his sister leaves the house and starts biking to school a
White raven [17]

Answer:

2

Step-by-step explanation:

cause i said so

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3 years ago
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Emma, Gabriela, Kevin, Trang, and Belinda all work for the same company. Trang has been there the longest, eleven years, and mak
BartSMP [9]

The first letter of each name will symbolize each persons salary.

T=3B

K=$50,000

G=$60,000

E=2K

B=K3/4

All you need to know to find T is B. To find B you need to know K, which we have. Lots of distractor information in this problem.

B=3/4($50,000)=$37,500

T=3($37,500)=1500+21,000+90,000=$112,500.

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3 years ago
Antoine is using special blackboard paint to paint a blackboard on a classroom wall. The wall is 8 meters long and 3 meters tall
never [62]
The area of the wall can be found as the product of the dimensions of the wall

Wall Area = 8(3)m = 24 m²

Because a can covers 6 m², 4 cans of paint are needed

no. of cans = \frac{24 m ^{2} }{6 m ^{2} } = 4
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3 years ago
. Name a segment whose length is the same as segment .
Vesna [10]

i think its congruency

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2 years ago
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