Ask question

Ask question

All categories

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.

You might be interested in

Rock jaw spends a total of $80 each week for karate lessons in ballet lessons if the amount spent on karate lessons increases $1

algol [13]

Answer:

4

Step-by-step explanation:

3 0

3 years ago

Hurrrryyyyy plllzzz. Determine the equation of the line that passes through the given points

pashok25 [27]

<h2>Answer:</h2>

y = 2

<h2>Step-by-step explanation:</h2>

To determine the equation of the line that passes through (10,2) and (-3,2), we need to determine the slope of the line. Then substitute the slope and any given point in point slope form to obtain the equation of the line.

<h3>Finding the Slope of the line:</h3>

$\implies \text{Slope} = \dfrac{\text{Rise}}{\text{Run}} = \dfrac{y_{2} - y_{1} }{x_{2} - x_{1} }$

$\implies \text{Slope} = \dfrac{y_{2} - y_{1} }{x_{2} - x_{1} }$

<u>Substitute the coordinates of the given points:</u>

$\implies \text{Slope} = \dfrac{2 - 2}{-3 - 10 }$

<u>Simplify the equation to determine the slope:</u>

$\implies \text{Slope} = \dfrac{0}{-3 - 10 }$

∴ 0 divided by ANY number is ALWAYS 0.

$\implies \text{Slope} =0$

<h3>Finding the equation of the line:</h3>

Point slope form formula: y - y₁ = m(x - x₁)

x₁ and y₁ are the coordinates of any given point.
m is the slope

<u>Substitute the values in the point slope form:</u>

$\implies \text{Equation of line:} \ y - y_{1} = m(x - x_{1} )$

$\implies \text{Equation of line:} \ y - 2 = 0(x - 10)$

<u>Simplify the equation to determine the equation of the line:</u>

∴ Any number multiplied by 0 is 0.

$\implies \text{Equation of line:} \ y - 2 = 0$

$\implies \text{Equation of line:} \ y = 0 + 2$

$\implies \text{Equation of line:} \ y = 2$

Thus, the equation of the line is y = 2.

5 0

2 years ago

Naomi has earned $54 mowing lawn the past few days. She worked 2 1/2 hours yesterday and 4 1/4 hours today. If Naomi is paid the

marysya [2.9K]

The answer is $8 per hour. To get this you add the 2 1/2 and 4 1/4 and that equals 6 3/4 or 6.75. You then divide 54 by 6.75 and you get 8.

8 0

3 years ago

HELP ASAPPPP !!!!!!!!!!!......

irina [24]

Answer:

just use a calculator

8 0

3 years ago

How do i solve 2 × =66

Aleks04 [339]

Answer:

You just have to divide the equation by "x"'s coefficient (2).

2x/2=x

66/2=33

x=33

Step-by-step explanation:

5 0

3 years ago