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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

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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AREA UNDER A CURVE will mark brainiest

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

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

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3 years ago

Solve for the variable:<br> 0.15a + 28.1 = 50<br> a = ?

valina [46]

Answer:

a = 146

Step-by-step explanation:

0 . 1 5 + 2 8 . 1 = 5 0

3 / 2 0 + 2 8 . 1 = 5 0

3 /2 0 = 2 1 . 9

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3 years ago

What is the slope of the line that goes through the points (-4,2) and (8,5)?

trapecia [35]

Hello,

y = ax + b where a is the slope

We have A(-4 ; 2) and B(8 ; 5)

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

→ Slope : 3/2

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2 years ago

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

aliya0001 [1]

(A)

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(B)

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3 years ago