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harkovskaia [24]
4 years ago
13

How do I work this problem out using the equation A=Pe^rt

Mathematics
1 answer:
taurus [48]4 years ago
8 0
Answer:

$177.38

Step-by-step explanation:

The first thing you want to do is figure out your variables. In A = Pe^(rt), "A" is the end amount (AKA however much money you have after however much time), "P" is the principle amount (AKA however much you have to start with), "r" is the rate, and "t" is the time. Take all the information they gave you in the problem and try to place it in one of these categories.

Tyler opened a savings account 6 years ago. Ding-ding, we've got a time. The account earns 2% interest, compounded annually. There's our rate. If the current balance is $200.00, how much did he deposit initially?

So, sort these out. t = 6 years. r = 2%, or r = .02. The current balance is $200.00, so is this your end amount or the money you had to start with? Well, since the question is asking you to find how much Tyler deposited initially, you know for sure $200.00 is your end amount ("A"). Let's find out what he started with.

200 = Pe^(.02)(6)

Note that e is not a variable, but a value. You won't ever replace it; it's part of your formula. What you want to solve for here is "P" to get your starting amount. Divide both sides by e^(.02)(6), and you'll see:

P = 200/[e^(.02)(6)] = 177.3840873

Since we're talking money, round that to the nearest cent like your question asked, and you get $177.38. You can check your answer by plugging this value back into A = Pe^(rt) with $177.38 being the principle amount. You get $200 back, so the answer is correct.
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Find the sum of the geometric series 9000-900 +...+ 0.009
bagirrra123 [75]

Based on the calculations, the sum of this geometric series is equal to 9,990.

<h3>The standard form of a geometric series.</h3>

Mathematically, the standard form of a geometric series can be represented by the following expression:

\sum^{n-1}_{k=0}a_1(r)^k

Where:

  • a₁ is the first term of a geometric series.
  • r is the common ratio.

<h3>How to calculate the sum of a geometric series?</h3>

Also, the sum of a geometric series is given by this mathematical expression:

S=\frac{a_1(1-r^n)}{1-r}

<u>Given the following data:</u>

  • First term, a = 9000.
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Substituting the given parameters into the formula, we have;

S=\frac{9000(1-0.1^3)}{1-0.1}\\\\S=\frac{9000(1-0.001)}{1-0.1}

S = 9000(0.999)/0.9

S = 8,991/0.9

S = 9,990.

Read more on geometric series here: brainly.com/question/12630565

#SPJ1

5 0
2 years ago
If f (x)=|3x-2|. Then what is f(5)
vichka [17]

Answer:

13

Step-by-step explanation:

|3(5)-2|

|15-2|

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6 0
3 years ago
Someone please help me thank you
german

Answer:

4

Step-by-step explanation:

7x = x² - 8

=> x² - 7x - 8 = 0

use quadratic formula:

a = 1, b = -7, c = -8

x = \frac{-(1)±\sqrt{(-7)^{2} - 4(1)(-8) } }{2(1)} <em>(pls ignore the "A" I don't know why it's showing up)</em>

=> x = \frac{-1±\sqrt{49 + 32} }{2}

=> x = \frac{-1±9 }{2}

=> x = \frac{-1 +9}{2} = 4 or \frac{-1-9}{2} = -5 <em>(the answer is only 4 since it's asking for the positive solution)</em>

6 0
3 years ago
Read 2 more answers
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