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aleksklad [387]
2 years ago
9

It took a cheetah 45 minutes to run from Jungle A to Jungle B. If the average speed for the trip was 80 km/h, what is the distan

ce between the two jungles.
Mathematics
1 answer:
Leya [2.2K]2 years ago
4 0
80km: 1h=60 minutes
?km: 45 minutes

The distance between two jungles is: 45 x 80 : 60 =60 km
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Your company has just taken out a 1-year installment loan for $72,500 at a nominal rate of 20.0% but with equal end-of-month pay
Mariulka [41]

Answer:

100% of the 2nd monthly payment go toward the repayment of principal.

Step-by-step explanation:

The loan taken is the Principal which is mentioned as $72,500 with interest at a nominal rate of 20%. Firstly, it is important to understand that nominal rate means <em>non-compounding </em>rate. Simply put will be a "<em>one-time charged" </em>rate on the loan. Since this is given as 20% of the Principal. It is calculated thus: \frac{20}{100} × \frac{72,500}{1}= $14,500. So the interest on the loan is $14,500. Added to the Principal the total amount to be paid back by the company becomes: $72,500 + $14,500 = $87,000. To pay back this amount at equal end-of-month installments in 1 year (12 months), we divide the total amount by 12. i.e \frac{87000}{12} = $7250. This means, the monthly payment will be $7,250. Since the monthly payment pays only 10% of the initial principal $72,500. By the second month only 20% of the Principal would have been paid. So all of the monthly payment will go towards repaying the principal

3 0
2 years ago
∠A and ∠C are right angles. m∠p = _???_ degrees.
iogann1982 [59]

Answer

Find out the  m∠p .

To prove

As in ΔDAB is a right triangle

Apply pythagorean theorem

Hypotenuse ² = Perpendicular ² + Base²

DB² = AB² + AD²

AB = 5 units

AD = 6 units

Put in the above formula

DB² = 5² + 6²

      = 25 + 36

     = 61

DB = \sqrt{61}\ units

           = 7.8 units (approx)

Now in  ΔDCB is a right triangle .

By using the trignometric identity .

cosp = \frac{Base}{Hypotenuse}

cosp = \frac{DC}{DB}

As DC = 4 units

DB = 7.8 units  (approx)

Put all the values in the trignometric identity .

cos p = \frac{4}{7.8}

\angle p = cos^{-1}(\frac{4}{7.8})

∠p = 59.15 ° (approx)

5 0
2 years ago
Read 2 more answers
If m∠1 = 50, then m∠5 =
yawa3891 [41]
1. angle 1 = 50 degrees [ Reason is Given]
2. angle 1 and angle 5 are corresponding angles [Given]
3..Therefore angle1=angle 5 [ Corresponding angles are =]
4..Therefore angle 5 = 50 degrees [= angles have same measure]

The above assumes that we are talking about corresponding angles of congruent or similar polygons or corresponding angles forme when a transversal intersects two parallel lines
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2 years ago
Find the common difference of the arithmetic sequence. 6,9.4,12.8,16.2
Blababa [14]

A sequence is said to be arithmetic if every couple of adjacent elements differ by the same number. If this is the case, that constant number is called the common difference.

This sequence is arithmetic, because the difference between every element and the previous one is

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So, the common differnece is 3.4, because every couple of adjacent terms differ by 3.4

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Ali has 40 red buttons, 60 green buttons, and 5 blue buttons
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Ali must wear a totally ginormous shirt !

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