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777dan777 [17]
3 years ago
14

Calculate the premiums for the following insurance policies. Mary pays $417.25 for automobile insurance, of which $32 is for com

prehensive coverage. One year, Mary has two accidents. What will her premium be the next year? (Note: Subtract the $32 before you take 150 percent, then add the $32 back in to get the new total!) Annual premium?
Mathematics
2 answers:
jek_recluse [69]3 years ago
6 0
Answer: $609.88

Explanation:

Since Mary has two accidents in one year, we will use the note in the problem to compute for the new annual premium.

Using the note in the problem, we have the following steps:

- Subtract $32 from the original premium:

Result = $417.25 - $32 = $<span>385.25

- Then, get 150% of the resulting number in the previous step. First, convert 150% to decimal. So, 150% = 1.5

Result = </span>150% of $385.25 = 1.5 × $385.25 = $<span>577.875

- Finally to get the new premium, we add $32 to the resulting number in the previous step:

New Premium = </span>$577.875 + $32 = $<span>609.875
</span><span>
Since there is no half cents that exists today, we round-off the new premium to the nearest cent. Hence, the new premium is $</span><span>609.88.</span><span>
 
</span>
Tatiana [17]3 years ago
4 0

Answer:

609.88

Step-by-step explanation:

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Ellie, the elephant, eats 4 times as much as Popcorn, the pony. Zac, the zebra, eats twice as much as Popcorn. Altogether, they
Ierofanga [76]

Ellie requires 280 kg, Popcorn requires 70 kg and Zac requires 140 kg each week

Step-by-step explanation:

The given is:

  • Ellie, the elephant, eats 4 times as much as Popcorn, the pony
  • Zac, the zebra, eats twice as much as Popcorn
  • Altogether, they eat 490 kilograms of feed per week

We need to find how much feed each of them requires each week

Assume that Popcorn eats x kg each week

∵ Popcorn eats x kg each week

∵ Ellie eats 4 times as much as Popcorn

- Multiply x by 4 to find how much Ellie eats

∴ Ellie eats = 4 × x = 4 x kg

∵ Zac eats twice as much as Popcorn

- Multiply x by 2 o find how much Zac eats

∴ Zac eats = x × 2 = 2 x kg

- Add all of them to find how much they eat altogether

∴ Altogether eats = x + 4 x + 2 x = 7 x kg

∵ Altogether, they eat 490 kilograms of feed

- Equate the sum of their eat by 490

∴ 7 x = 490

- Divide both sides by 7

∴ x = 70

∵ Ellie eats 4 x

∴ Ellie eats = 4(70) = 280 kg

∵ Popcorn eats x

∴ Popcorn eats = 70 kg

∵ Zac eats 2 x

∴ Zac eats = 2(70) = 140 kg

Ellie requires 280 kg, Popcorn requires 70 kg and Zac requires 140 kg each week

Learn more:

You can learn more about the the word problems in brainly.com/question/3950386

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8 0
3 years ago
The random variable x represents the number of computers that families have along with the corresponding probabilities. Find the
Charra [1.4K]

The value of the Mean & Standard deviation is 1.30 and 1.18.

According to the statement

we have a given that the random variable x represents the number of computers that families have along with the corresponding probabilities.

And we have to find the mean and standard deviation from the given data which is related to the probabilities values

So, according to the given data

The formula to compute the mean is:

Mean = summation [x*p(x)]

Compute the mean as follows:

Mean = summation [x*p(x)]

Mean = summation [0*0.49 + 1* 0.05 + 2*0.32 + 3*0.07 + 4*0.07]

Mean = 0 +0.05 + 0.64 + 0.21 + 0.28

Mean = 1.18

The mean of the random variable x is 1.18.

And after calculating the variance from the formula get

The value of standard deviation is 1.30

So, The value of the Mean & Standard deviation is 1.30 and 1.18.

Learn more about mean and standard deviation here brainly.com/question/14650840

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8 0
2 years ago
Sharon buys four salmon steaks for $22.95 at her local supermarket. The weights of the steaks, in pounds, are 0.68, 0.74, 0.77,
Tema [17]

Answer:

$7.65

Step-by-step explanation:

Given that:

Money used for buying the four salmon steaks = $22.95

Weights of steaks in pounds = 0.68, 0.74, 0.77, and 0.81

To find:

Price of salmon steak per pound, to the nearest cent = ?

Solution:

Total weight of all 4 steaks = 0.68 + 0.74 + 0.77 + 0.81 = 3

Here, to find the price of salmon steak per pound we need to divide the total money used to buy salmon steaks with the total weight of salmon steaks in pounds.

Price of salmon steak per pound = \frac{22.95}{3} = \$7.65

4 0
3 years ago
Which type of car had the largest range in monthly sales? Explain how you came up with your answer.
sergey [27]

Answer:

Can you please attach a picture of the question so I can help?

Step-by-step explanation:

4 0
3 years ago
Line A is defined by the equation y=-3x-2
const2013 [10]
THE ANSWER IS: D. y=-3x+11

when two lines are parallel, they share the same slope, which is -3

then plug in the given point into slope intercept form then solve for standard form

4 0
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