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FromTheMoon [43]
3 years ago
13

Find the missing values assuming continuously compounded interest. (Round your answers to two decimal places.)

Mathematics
1 answer:
alexdok [17]3 years ago
4 0

Answer:

<h2>$3448.81</h2>

Step-by-step explanation:

Using the compound interest formula to calculate the amount compounded after 10years.

A = P(1+r)^{nt}

P = principal  = $2000

r = rate (in %) = 5.6%

t = time (in years) = 10years

n = 1year = time used in compounding

A = 2000(1+0.056)^{10} \\A = 2000(1.056)^{10}\\A = 2000*1.7244046\\A = 3448.81 (to\  2dp)

Amount compounded after 10 years is $3448.81

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Step-by-step explanation:

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Determine the value of y, if x is -2.<br> y = x² +8
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6 0
3 years ago
AB= 4x + 7 and BC = 20x - 5 <br> AB ~= BC
Mariana [72]

The value of the variable x is 3/4

<h3>What are congruent segments</h3>

Congruent segment are segments with equal or congruent lengths.

From the information given, we have that line AB is approximately equal to line BC. This is represented as;

AB = BC

Where;

  • AB = 4x + 7
  • BC = 20x - 7

Now, let's equate the expressions

4x + 7 = 20x - 5

collect like terms

4x - 20x = - 5 - 7

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Make 'x' the subject of formula

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x = 3/4

Thus, the value of the variable x is 3/4

Learn more about line segments here:

brainly.com/question/1388250

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8 0
2 years ago
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