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Bumek [7]
3 years ago
9

Suppose you invested $500 at an annual interest rate of 7.1 compounded continuously. How much will you have in the account after

10 years? Please show work.
Mathematics
1 answer:
3241004551 [841]3 years ago
6 0
\bf \qquad \textit{Continuous Interest Earned Amount}\\\\
A=Pe^{rt}\qquad 
\begin{cases}
A=\textit{compounded amount}\\
P=\textit{original amount deposited}\to& \$500\\
r=rate\to 7.1\%\to \frac{7.1}{100}\to &0.071\\
t=years\to &10
\end{cases}
\\\\\\
A=500e^{0.071\cdot 10}
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rachel jogged along a trail that was 1/4 of a mile long. She jogged along the trail 8 times. how many miles did rachel jog?
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To solve for how many miles Rachel jogged if she jogged a 1/4 mile trail 8 times, we simply need to multiply the distance she ran each time by the amount of times she ran it.

1/4 * 8 = 2

Rachel jogged 2 miles.
Hope that helped =)
4 0
3 years ago
Which phrase represents the algebraic expression 3p+6/7p-9
omeli [17]

Answer:

The answer is the sum of three times a number and six, divided by the difference of seven times the number and nine

Step-by-step explanation:

3p = three x a number

7p = seven x a number

3p+6 = sum of three x a number plus six

7p-9 = difference of seven x the number minus nine

(3p+6)/(7p-9) = sum of three times x number plus six, divided by the difference of seven x the number - nine

7 0
3 years ago
PLZ HELP DUE IN 20 MINS
Artemon [7]

Answer:

a. D and E are similar but not congruent.

Step-by-step explanation:

Let's analyse each statement and determine which is true about the 3 given quadrilaterals:

a. "D and E are similar but not congruent." TRUE.

D is similar to E because, every segment of D is proportional to the corresponding segments of E. The ratio of their corresponding segments are equal.

D and E are not congruent because their segments are not of equal length. Thus, they have the same shape but different sizes.

b. "E and F are similar and congruent." NOT TRUE.

E and F has the same size, hence they are congruent. However, they are not similar, because they don't have the same shape. Their corresponding lengths are not proportional.

c. "D and E are similar and congruent." NOT TRUE.

Since statement (a) is TRUE, statement (c) cannot be true.

D and E are similar because they have the same shape and the ratio of their corresponding sides are the same. D and E are not congruent, because they are not of the same size.

d. "F and D are similar but not congruent." NOT TRUE.

F and D has the same size but the ratio of their corresponding sides are not the same.

4 0
3 years ago
The expression 3 × n can be written without the multiplication sign as 3n. For each expression in parts (a)–(c), Use n = 1, 2, 3
baherus [9]
You can because you already know the number is 3 and the blank number is n
7 0
3 years ago
What are the domain and range of the function below? graph
kirill115 [55]

The domain and range of the function is D) Domain: (-∞, ∞); Range: (-∞, ∞)

<h3>How to illustrate the information?</h3>

The domain is the input values, or the x values. We can put in any x values for this function.

Domain : (-∞, ∞)

The range is the output values or the y values. We can get any output values for this function

Range: (-∞, ∞)

Learn more about domain on:

brainly.com/question/2264373

#SPJ1

<u>Complete question:</u>

What are the domain and range of the function below?

A) Domain: (-∞, -5)

Range: (5, ∞)

B) Domain: (-5, -10)

Range: (5, 10)

C). Domain: (-5, 10)

Range: (-10, 5)

D) Domain: (-∞, ∞)

Range: (-∞, ∞)

4 0
1 year ago
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