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bazaltina [42]
3 years ago
10

Determine the amount of money you need to invest to have $18,000 dollars in 2 years if you Invest it at 20% annual Interest, com

pounded
continuously.
$28,852.84
$17,294.21
$12,065.76
$133,033.01
Mathematics
1 answer:
vekshin13 years ago
3 0

Answer:

$12,500

Step-by-step explanation:

Using the compound interest formula Accrued Amount = P (1 + r)^n

where Accrued amount = $18000

P = principal; we need to generate it

r = 20% = 0.2

n = 2

Therefore

P = Accrued amount/ (1 + r)^n

= 18000/(1+0.2)^2

= 18000/1.44

= 12,500

hence $12,500 needs to be invested

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In ΔXYZ, x = 8.3 meters, y = 9 meters, and z = 15 meters. Find the remaining measurements of the triangle, and round your answer
laila [671]

Answer:

<u>The correct answer is B. ∠X = 28.6°, ∠Y = 31.2°, ∠Z = 120.2°</u>

Step-by-step explanation:

Let's recall that for solving a SSS triangle, we :

1. Use the Law of Cosines first to calculate one of the angles

2. Use The Law of Cosines again to find another angle

3. Finally use angles of a triangle add to 180° to find the last angle.

1. Cos x = (9² + 15² - 8.3²/2 * 9 * 15)

Cos x = (81 + 225 - 68.89/270)

Cos x = 0.878

x = Cos ⁻¹ (0.878)

x = 28.6° (rounding to the next tenth)

2. Cos y = (8.3² + 15² - 9²/2 * 8.3 * 15)

Cos y = (68.89 + 225 - 81/249)

Cos y = 0.855

x = Cos ⁻¹ (0.855)

x = 31.2° (rounding to the next tenth)

3. z = 180 - 31.2 - 28.6

z = 120.2°

<u>The correct answer is B. ∠X = 28.6°, ∠Y = 31.2°, ∠Z = 120.2°</u>

4 0
3 years ago
At Dave's diner, 2 sandwiches and 2 drinks cost $12. You can buy 5 drinks for the cost of one sandwich.
hram777 [196]
If you’re asking for the cost of the drink, the drink would be $1. This is because 2 sandwiches would cost $10 and that means 1 sandwich would make it $5. If 2 sandwiches cost $10, the remaining $2 in the $12 dollars would be the drinks. 2 drinks for $2 would make 1 drink for $1. So the cost of 5 drinks is $5 or $1 per drink.

If confused, don’t be shy to ask :)
8 0
2 years ago
The two triangles are similar.
igor_vitrenko [27]

Answer:

  • x = 10

Step-by-step explanation:

<u>The ratio of corresponding sides of similar figures is same:</u>

  • 3x/20 = (4x + 2)/(20 + 8)
  • 3x/20 = (2x + 1) / 14
  • 3x(14) = (2x + 1)(20)
  • 42x = 40x + 20
  • 2x = 20
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6 0
2 years ago
100 points, if i dont pass this i fail my class.
lianna [129]

Answer:

B.

Step-by-step explanation:

I got it correct on edginuity

6 0
2 years ago
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Answer:

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Step-by-step explanation:

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