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Aleonysh [2.5K]
3 years ago
7

Need help on both problems.

Mathematics
1 answer:
Mice21 [21]3 years ago
3 0
1)
use Pythagoras, so that
{18}^{2} - {10}^{2} = 224

the square root if 224 is 14.96662955
so roughly, she needs 15ft for the remaining side.
15+10+18=43

so the answer is c.

2)
first calculate the length through the pond

36^2+49^2=3697
square root of 3697 =60.80296045

36+49=85
85-60.80296045=24.19703955

so he saves about 24.2m
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A new American graduate is contemplating buying a
Law Incorporation [45]

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.

4 0
3 years ago
Read 2 more answers
Which mean absolute deviation would be more consistent 4.2 or 8.5?
andrey2020 [161]

8.5 would be more consistent

4 0
3 years ago
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A trapezoid has bases of lengths 13 cm and 17 cm. The
Vedmedyk [2.9K]

Answer:

135 cm²

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = \frac{1}{2} h(a + b)

where h is the height and a, b the parallel bases

Here h = 9, a = 13 and b = 17 , thus

A = \frac{1}{2} × 9 × (13 + 17)

   = 0.5 × 9 × 30

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3 0
3 years ago
Helpppppp !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Ann [662]

Answer:

h=5

Step-by-step explanation:

18x2 = 36

36/6 = 6

6 = h+1

h=5

Check:

5+1 = 6

6x6 = 36

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8 0
3 years ago
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If the interest rate on a savings account is 0.02%, approximately how much money do you need to keep in this account for 1 year
astraxan [27]
At first glance, this problem might be overwhelming so try approaching it slowly by doing these steps:

Step 1: Start by understanding what the problem is really asking.
You might notice that the problem is just a percentage problem, with a twist! If you still don't see it, the problem is just asking what the base should be given a percentage and the amount.

Step 2: Recall the concepts relevant to the question.
We can identify a single formula that will be important in getting the answer:
base*percent=amount

Step 3: Apply the concept to the context of the problem.
You'll see that we already have the percent from the interest rate which is 0.02% and the amount from the below-minimum-balance fee which is $9.99.

There goes the little twist: you have to manipulate the equation to get the base. Dividing both sides of the equation by the percent we'll have:
base= \frac{amount}{percent}

Step 4: Evaluate to get the answer to the problem.
We simply substitute the given numbers and evaluate.
base= \frac{percent}{amount}= \frac{9.99}{0.0002} =49,950

Answer: You need $49,950 in the account to cover the Below-Minimum-Balance Fee from your interest.
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4 years ago
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