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lora16 [44]
3 years ago
12

I leave my family's vacation cabin at 8 a.m. and start driving home at a nice, safe 45 mph. Two hours later, my husband, who alw

ays drives as fast as the law will allow, leaves the cabin and starts driving home 65 mph. When can I expect him to pass me?​
Mathematics
1 answer:
Murljashka [212]3 years ago
6 0

Answer:

2:30 pm

Step-by-step explanation:

In two hours (from 10am), she is 45 * 2 = 90 miles from vacation cabin.

From then on her average is still 45 mph and her husband's is 65 mph. So, husband catches her 20 miles (65-45=20) in every hour.

<em>The husband has to catch up 90 miles. How long would it take if he is catching up at 20 miles an hour?</em>

<em>90/20 = 4.5 hours</em>

<em />

<em>So husband starts at 10am and 4.5 hours form that time is 2.30pm</em>

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A new American graduate is contemplating buying a Japanese, German, or an American car. No matter the type of car, he plans to b
Svetach [21]

Answer:

The best option is to buy Japanese Car.

Step-by-step explanation:

Fuel usage per year is 150000/ 8 = 18750 miles per year

Fuel cost (year 1 -8) = $3.0, $3.06, $3.12, $3.18, $3.25, $3.312, $3.38, $3.5

Japanese Car:

Fuel usage 18750 / 23 = 815 * $3 = $2446  

Fuel charges (year 1 -8) = $2445, $2494, $2623, $2758. $2900, $3050, $3207, $3372

Repair Cost (year 1 - 8) = $700, $721, $742, $764, $787, $811, $835, $860

Insurance cost (Year 1 - 8) = $700, $714, $728, $742, $757, $772, $788, $804

Present value of cost at 5% = 24674.07

Cost of car is $30,000

Total cost = $54674.07

Amercian Car:

Cost $35,000

Fuel usage 18750/20 = 937.5 * $3 per gallon = $2812.5.

Fuel charges (year 1 -8) = $2812, $2913, $2986, $3011. $3098, $3124, $3176, $3208

Repair Cost (year 1 - 8) = $800, $894, $921, $978, $1109, $1176, $1207, $1301

Insurance cost (Year 1 - 8) = $800, $827, $876, $898, $908, $932, $954, $934

Present value of cost at 5% = 25302.18

Cost of car is $35,000

Total cost = $60302.

German Car:

Cost = $45,000

Fuel usage 18750 / 21 = 892 * $3 = $2678  

Fuel charges (year 1 -8) = $2679, $2732, $2786, $2842. $2899, $2987, $3077, $3171

Repair Cost (year 1 - 8) = $1000, $1040, $1081, $1124, $1169, $1216, $1265, $1316

Insurance cost (Year 1 - 8) = $850, $867, $884, $902, $920, $938, $957, $976

Present value of cost at 5% = 27105.73

Cost of car is $45,000

Total cost = $72105.

6 0
3 years ago
The swimming pool shown below has a 6 foot wide concrete deck around it.
padilas [110]

Answer:

0864

Step-by-step explanation:

The answer is 0864.

Hope it helps!

Study well!

7 0
2 years ago
What's the final price?<br> sweater: $14.99<br> discount: 12%<br> tax: 6.25%
bogdanovich [222]
14.99*.12=1.80
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6 0
3 years ago
Find the value of x.
castortr0y [4]

The angle x has a measure of 110 degrees

<h3>How to determine the value of x?</h3>

From the question, we have the triangle shape that can be used in our computation:

On the triangle, the external angles are

x, 140 and 110

These angles are on the same straight line with their corresponding internal angles

By the angle on a straight line theorem, we have the internal angles to be

180 - x, 180 - 140 and 180 - 110

The sum of these angles is 180

So, we have

180 - x + 180 - 140 + 180 - 110 = 180

Evaluate

x = 110

Hence, the value of x is 110 degrees

Read more about angles at

brainly.com/question/7620723

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4 0
1 year ago
Find 5 rational numbers between 2/3 , 4/5​
iris [78.8K]

Answer:

0.67, 0.68, 0.69, 0.7, 0.71. (67/100, 68/100, 69/100, 70/100, 71/100)

Step-by-step explanation:

A rational number is a number that can be expressed as a fraction.

2/3 is approximately equal to 0.66.

4/5 is equal to 0.8

Thus, we just need to find 5 numbers between 0.66 and 0.8.

Some numbers that you could use are: 0.67, 0.68, 0.69, 0.7, 0.71

Hope this helps :)

4 0
3 years ago
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