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Rama09 [41]
3 years ago
6

A nautical mile is the unit of length used in sea and air navigation. A

Mathematics
1 answer:
Arte-miy333 [17]3 years ago
8 0

Answer:

86.82%

Step-by-step explanation:

A nautical mile = 6,174 feet.

Statute mile =5,360 feet

The percentage of a statute mile to a nautical mile is calculated as:

5360/6174 × 100

= 0.8681567865 × 100

= 86.81567865%

Approximately to the nearest hundredth = 86.82%

Therefore, the percent of a statute mile that is a nautical mile rounded to the nearest hundredth is 86.82%

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the value of a car when purchased in 2008 was $21,500. It loses 12% of its value every year. What is the value of the car in 201
shusha [124]

Answer: the value of the car in 2019 is $5269

Step-by-step explanation:

It loses 12% of its value every year. This means that the value of the car is decaying exponentially. We would apply the formula for exponential decay which is expressed as

A = P(1 - r)^t

Where

A represents the value of the car after t years.

t represents the number of years.

P represents the initial value of the car.

r represents rate of decay.

From the information given,

P = $21500

r = 12% = 12/100 = 0.12

t = 2019 - 2008 = 11 years

Therefore

A = 21500(1 - 0.12)^11

A = 21500(0.88)^11

A = 5269

6 0
3 years ago
You invested $10,000 into two accounts: one that has a simple 3% interest, the other with 2.5% interest. If your total interest
artcher [175]

Answer:

3300 was on 3% and 6700 on 2,5%

Step-by-step explanation:

We can say that 'a' represents the price that will go on 3% interest and 'b' 2,5% interest.

Therefore;

a + b = 10 000

And

0,03a + 0,025b = 283.5 (0,03 means 3% etc)

You can move 'b' to the other side to leave 'a' on the LHS

0,03a = 283.5 - 0,025b - - > (divide both sides by 0,03)

a=9450 - 0,8333b

Substitute this equation as 'a' in the first equation to get:

9450 - 0,8333b + b = 10 000 (move 9450 to the RHS to leave values with b on the LHS)

-0,8333b + b = 10 000 - 9450

0,1666b = 550 (divide both sides by 0,1666)

b = 3,300

Therefore 'a' will be :

a= 10 000 - 3 300

a = 6700

I hope this helps.

4 0
3 years ago
What is the distance between the points?! round to the nearest tenth i need to show work
Maru [420]

Answer:

c=\sqrt{52}

Step-by-step explanation:

a=height=6

b=length=4

using pythagorean theorem

a^2+b^2=c^2

36+16=c^2

c=\sqrt{36+16}

c=\sqrt{52}

6 0
3 years ago
If the perimeter of the following triangle is 7x-2, what is the length of the unknown side?
Alinara [238K]

7x-2-(3x-9)-(x+7)

=7x-2-3x+9-x-7

=7x-3x-x-2+9-7

=3x

4 0
3 years ago
Given the sequence -3, 9, -27, 81, -243, ..., find the recursive formula.
Tanzania [10]

Answer:

a_{n} = - 3a_{n-1}

Step-by-step explanation:

There is a common ratio between consecutive terms of the sequence, that is

r = 9 ÷ - 3 = - 27 ÷ 9 = 81 ÷ - 27 = - 243 ÷ 81 = - 3

The recursive formula is of the form

a_{n} = ra_{n-1} = - 3a_{n-1}

5 0
3 years ago
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