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Readme [11.4K]
3 years ago
8

A total of $2,000 is invested at an annual interest rate of 2%. Find the balance in the account after

Mathematics
1 answer:
Anit [1.1K]3 years ago
8 0

Answer:

<u>The balance in the account after 10 years is US$ 2,442.81</u>

Step-by-step explanation:

1. Let's review the data given to us for answering the question:

Investment amount = US$ 2,000

Duration of the investment = 10 years

Annual interest rate = 2% compounded continuously

2. Let's find the future value of this investment after 10 years, using the following formula:

FV = PV * eˣ ⁿ

PV = Investment = US$ 2,000

number of periods (n) = 10 (10 years compounded continuously)

rate (x) = 2% = 0.02

e = 2.71828 (Euler's number)

Replacing with the real values, we have:

FV = 2,000 * (2.71828)^0.02*10

FV = 2,000 * 2.71828^0.2

FV = 2,000 * 1.2214027

<u>FV = US$ 2,442.81</u>

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$19.99 x 0.15 = 2.9985

Now, let's deduct that amount off of $19.99 to get:

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3 years ago
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KatRina [158]

Answer: -1

Step-by-step explanation: To evaluate this problem, the first thing we want to do is plug in the appropriate value for <em>x</em>.

When we do that, we get \frac{(-2)^2- 8}{-2 + 6}

A good rule of thumb for problems that involve division bars is to simplify what's above the division bar as much as you can and what's below the division bar as much as you can before you do your dividing.

So up top if we follow our order of operations, the first thing we want to do is square the -2 before we subtract. So -2² is +4.

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4 - 8 is -4 and -2 + 6 is +4.

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A boat is 10 miles away from a lighthouse that sits on top of a coral reef with a 4 mile radius. At what angle does the captain
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4. A ship travels due east at 10 mph for 5 hrs. It then turns on to a bearing 36° and continues for another 2 hrs. How far is it
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Answer:

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Step-by-step explanation:

The scalene triangle is a type of triangle with sides of three different lengths and angles of three different measurements. In every scalene triangle, the shortest side is opposite the smallest angle and the longest side is opposite the largest angle

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We can check that 35.8 + 20 + 50 = 105.804 perimeter

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