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jolli1 [7]
3 years ago
8

The simple interest on a sum of money invested for 6 months at 5% per annum is $1680. Find the amount of money invested

Mathematics
1 answer:
olga55 [171]3 years ago
3 0

9514 1404 393

Answer:

  $67,200

Step-by-step explanation:

The amount if interest is given by the formula ...

 I = Prt

where P is the amount invested, r is the annual rate, and t is the number of years. Here, we want to find P when r = 0.05 and t = 1/2 such that I = 1680.

  P = I/(rt) = $1680/(0.05·0.5) = $1680/0.025

  P = $67,200

The amount invested was $67,200.

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Andrej [43]

Answer: 3 units²

Step-by-step explanation: The area of a triangle is 1/2 (Bh); 1*1= 1 (1/2)= 1/2 units². For the other shape, I cut it into a square and another triangle. The square area is length times width; 1*1= 1 units². The final triangle is 3*1= 3*1/2= 1.5 units². Lastly you add all the areas together: 1.5+0.5+1= 3 units²

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2 years ago
#16 i
Vlad1618 [11]

The tuition is an illustration of a linear function.

The cost of tuition and fees in the academic year 2023-2024, is $12260

Let the number of academic years after 2014-2015 academic year be x.

So, we have:

\mathbf{(x,y) \to (0,9200)(5,10900)}

A linear function is represented as:

\mathbf{y = mx + b}

Where m represents the slope (i.e. constant rate), and b represents the y-intercept (i.e. the value of y when x = 0)

So, we have:

\mathbf{10900 = 5m + 9200}

Subtract 9200 from both sides

\mathbf{1700 = 5m}

Divide both sides by 5

\mathbf{340 = m}

So, we have:

\mathbf{m =340 }

The function becomes

\mathbf{y = mx + b}

\mathbf{y = 340x + 9200}

In the academic year 2023-2024, x = 9.

So, we have:

\mathbf{y = 340x + 9200}

\mathbf{y = 340 \times 9 + 9200}

\mathbf{y = 3060 + 9200}

\mathbf{y = 12260}

Hence, the cost of tuition and fees is $12260

Read more about linear functions a:

brainly.com/question/21107621

4 0
3 years ago
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Answer:

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trapecia [35]

Hello,

y = ax + b where a is the slope

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a =  \frac{yb - ya}{xb - xa}  =  \frac{5 - ( - 4)}{8 - 2}  =  \frac{9}{6}  =  \frac{3 \times 3}{3 \times 2}  =  \frac{3}{2}

→ Slope : 3/2

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In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately normally dis
aliya0001 [1]

(A)

P(<em>X</em> < 61.25) = P((<em>X</em> - 55.4)/4.1 < (61.25 - 55.4)/4.1)

… ≈ P(<em>Z</em> ≤ 0.1427)

… ≈ 0.5567

(B)

P(<em>X</em> > 46.5) = P((<em>X</em> - 55.4)/4.1 > (46.5 - 55.4)/4.1)

… ≈ P(<em>Z</em> > -2.1707)

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… ≈ 0.9850

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