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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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Sarah rolls a die twice. What is the probability that she rolls a 3 and then an even number?
egoroff_w [7]
1/12

This is because she has a 1/6 chance of getting a 3 on the first try and then a 1/2 chance of getting an even on the second. Multiply these two together to get your answer. 
7 0
3 years ago
If 5+20-22-3x = 10-2-2x + 5, what is the value of x?<br> -3<br> -2<br> 2<br> 3
Olegator [25]

Answer:

-10

Step-by-step explanation:

3 0
3 years ago
Can anyone fill these out?
Tcecarenko [31]

Answer:

Part (a)

36

Part (b)

Find the filled table in the attachment

Part (c)

1/36

Step-by-step explanation:

The total number of possible outcomes using the multiplicative rule is given by;

6*6 = 36.

There are 6 possible outcomes in rolling each die, we simply find the product.

The probability of rolling double sixes is given by;

pr(6 and 6) = pr(6) * pr(6) = 1/6 * 1/6 = 1/36

The probability of rolling double sixes represents independent events and thus we employ the multiplicative rule of probability.

8 0
3 years ago
1) -24, -4, 16, 36, ...<br> Find a23
viktelen [127]

We're given the Arithmetic Progression <em>-24, -4, 16, 36 ...</em> .

We know that a term in an AP is generally represented as:

\bf a_n\ =\ a\ +\ (n\ -\ 1)d

where,

  • a = the first term in the sequence
  • n = the number of the term/number of terms
  • d = difference between two terms

We need to find \sf a_2_3.

From the given progression, we have:

  • a = -24
  • n = 23
  • d = (-24 - (-4) = -20

Using these in the formula,

\sf a_2_3\ =\ a\ +\ (n\ -\ 1)d\\\\\\a_2_3\ =\ -24\ +\ (23\ -\ 1)\ \times\ (-20)\\\\\\a_2_3\ =\ -24\ +\ 22\ \times (-20)\\\\\\a_2_3\ =\ -24\ -\ 440\\\\\\\bf a_2_3\ =\ -464

Therefore, the 23rd term in the AP is -464.

Hope it helps. :)

7 0
2 years ago
The coefficient of 9(14)P is _____. <br> 9<br> 14 <br> 126
bezimeni [28]
The coefficient is 126 because 9 times 14 is 126 
8 0
3 years ago
Read 2 more answers
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