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iragen [17]
2 years ago
10

John Maynord pays a $566.00 annual insurance premium. This represents 40% of the total premium. The rest of the premium is paid

by his employer. Calculate:
. the company's percentage
. the total premium
. the company's payment
Mathematics
2 answers:
Aleksandr-060686 [28]2 years ago
6 0
60%
$1415
$849
Hope this helps
baherus [9]2 years ago
6 0

Answer:

A. 60%

B. $1415

C. $849.

Step-by-step explanation:

We have been given that  John Maynord pays a $566.00 annual insurance premium. This represents 40% of the total premium. The rest of the premium is paid by his employer.

A. Since John pays 40% of his premium and rest of the premium is paid by his employer. This means that his employer pays 60% (100-40) of the premium, therefore, the company's percentage will be 60%.

B. Let x be the total amount of the premium.

As 40% of the premium is $566, so we need to find x such that 40% of x is $566.

We can represent this information in an equation as:

\frac{40}{100}*x=\$566

0.40*x=\$566

\frac{0.40*x}{0.40}=\frac{\$566}{0.40}

x=\$1415

Therefore, the total amount of premium is $1415.

C. As company pays 60% of premium, so to find the company's payment we will find 60% of $1415.

\text{The company's payment}=\frac{60}{100}*\$1415

\text{The company's payment}=0.60*\$1415

\text{The company's payment}=\$849

Therefore, the company's payment is $849.

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zzz [600]

Answer:

option C.

Yes, the water tank is about 245 cubic feet too small

Step-by-step explanation:

step 1

Determine the volume of the cylindrical tank

we know that

The volume of a cylinder is equal to

V=\pi r^{2} h

Remember that

1\ ft=12\ in

we have

r=6\ ft\\h=2\ ft\ 2\ in=2+(2/12)=\frac{13}{6}\ ft

assume

\pi =3.14

substitute

V=(3.14)(6)^{2}(\frac{13}{6})

V=244.92\ ft^3

Compare with 251 cubic feet

244.92\ ft^3 < 251\ ft^3

therefore

Yes, the water tank is about 245 cubic feet too small

8 0
2 years ago
Which diagram best shows how fraction bars can be used to evaluate One-half divided by one-fourth? A fraction bar labeled 1. Und
Leto [7]

Answer:

Step-by-step explanation:

The description is too ambiguous to reconstruct the diagram. You need to post the actual diagram.

That diagram is just one way to view division by a fraction. An easier way: DIVIDING by a fraction is the same as MULTIPLYING by the upside-down fraction. For example,

(1/2) ÷ (1/4) = (1/2) × (4/1) = 2

That doesn’t help you answer this particular question, though.

6 0
1 year ago
A quality control engineer at a potato chip company tests the bag filling machine by weighing bags of potato chips. Not every ba
Ahat [919]

Answer:

z=\frac{0.21 -0.15}{\sqrt{\frac{0.15(1-0.15)}{100}}}=1.68  

Step-by-step explanation:

Information provided

n=100 represent the random sample taken

X=21 represent the number of bags overfilled

\hat p=\frac{21}{100}=0.21 estimated proportion of overfilled bags

p_o=0.15 is the value that we want to test

z would represent the statistic

Hypothesis

We need to conduct a hypothesis in order to test if the true proportion of overfilled bags is higher than 0.15.:  

Null hypothesis:p =0.7  

Alternative hypothesis:p > 0.15  

The statistic for this case is:

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

And replacing the info given we got:

z=\frac{0.21 -0.15}{\sqrt{\frac{0.15(1-0.15)}{100}}}=1.68  

5 0
2 years ago
A machine needs 2 of its gears replaced. You find 2 gears, one manufactured 5 years ago and the other manufactured 10 years ago.
Tcecarenko [31]
Probability that gear 1 will fail = 5/100 (upto 10 years) 
and 8/100 (after 10 years)

Probability that both will fail = 5/100 * 8/100
= 40/10000
= 0.4 %

8 0
2 years ago
Question
monitta

Answer:

927,154\ people

Step-by-step explanation:

we have a exponential function of the form

y=a(b^x)

where

y is the population of San Francisco

x is the number of years

a is the initial population

b is the base

r is the rate of grown

b=(1+r)

In this problem we have

r=1.26\%=1.26/100=0.0126

b=1+0.0126=1.0126

ordered pair (6, 870,887)

substitute in the exponential function y=a(b^x)

870,887=a(1.0126^6)

Solve for a

a=870,887/(1.0126^6)

a=807,857\ people

so

The exponential function is equal to

y=807,857(1.0126^x)

In 5 more years the number of years will be equal to

6+5=11 years

For x=11 years

substitute the value of x in the exponential function and solve for y

y=807,857(1.0126^{11})

y=927,154\ people

6 0
2 years ago
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