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Natasha2012 [34]
3 years ago
14

Mark takes a bank loan of $3,600 to start up a business at an annual interest rate of 8%. How much will he have to repay in 16 m

onths?
O A. $3,984
O B. $5,000
O C. $4,800
OD. $5,136
Mathematics
1 answer:
Dimas [21]3 years ago
8 0

Answer:

  A.  $3,984

Step-by-step explanation:

The amount of interest is computed from ...

  I = Prt

For the given values, the interest is ...

 I = $3600×0.08×(16/12) = $384

Then the total amount that needs to be repaid is ...

  Principal + Interest = $3600 +384 = $3,984

_____

The time period is 16 months, so is 16/12 years.

The time periods of the interest rate and "t" in the formula must match. If the interest rate is an annual rate, then "t" is in years. If the interest rate is a monthly rate, then "t" is the number of months.

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Find the value of n in each of the following proportions.
Setler79 [48]

Answer:

24

Step-by-step explanation:

18/n = 21/28                    You can cancel, but calculators make that unnecessary.   Cross multiply

21n = 18 * 28

21n = 504                         Divide by 21

n = 504 / 21

n = 24

==================

12/16 = n / 64                    Cross Multiply

16n = 12 * 64

16n = 768                         Divide by 16

n = 768/16

n = 48

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3 years ago
Larry fills his bathtub at a constant rate. The amount of water in his tub is proportional to the amount of time he spends filli
Kryger [21]

Answer:

7 but im not sure

Step-by-step explanation:

8 0
3 years ago
A river drops 12 ft vertically over a horizontal distance of 1500 ft.
elixir [45]

Answer:

Slope = rise / run

= -12 / 1500 (It's -12 and not 12 because a drop means it's decreasing)

= -0.008

4 0
3 years ago
Encuentra el valor de la incógnita -24/x = 6
Marat540 [252]

Answer:

x = -4

The solution is x = -4

3 0
3 years ago
Which of these four sets of side lengths will form a right triangle? Set 1 4 cm, 5 cm, 6 cm Set 2 8 in., 12 in., 20 in. Set 3 10
Alenkasestr [34]

Answer:  The correct option is (D) SET 4.

Step-by-step explanation:  We are to select the correct set of side lengths that will form a right-angled triangle.

To form a right-angled triangle, we must have the following relation:

<em>Perpendicular² + Base² = Hypotenuse².</em>

<em>Hypotenuse is the length of the largest side; perpendicular and base are the two legs of the triangle.</em>

SET 1 :  14 cm, 5 cm, 6 cm.  

We have

5^2+6^2=25+36=61,\\\\14^2=196.

Therefore,

<em>Perpendicular² + Base² ≠ Hypotenuse².</em>

So, this set will not form a right-angled triangle.

SET 2 :  8 in., 12 in., 20 in.  

We have

8^2+12^2=64+144=208,\\\\20^2=400.

Therefore,

<em>Perpendicular² + Base² ≠ Hypotenuse².</em>

So, this set will not form a right-angled triangle.

SET 3 :  10 mm, 20 mm, 30 mm.  

We have

10^2+20^2=100+400=500,\\\\30^2=900.

Therefore,

<em>Perpendicular² + Base² ≠ Hypotenuse².</em>

So, this set will not form a right-angled triangle.

SET 4 :  12 ft, 16 ft, 20 ft.  

We have

12^2+16^2=144+256=400,\\\\20^2=400.

Therefore,

<em>Perpendicular² + Base² = Hypotenuse².</em>

So, this set will form a right-angled triangle.

Thus, the SET 4 will form a right-angles triangle.

Option (D) is correct.

5 0
3 years ago
Read 2 more answers
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