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2 years ago

Brian invests £990 into his bank account. He receives 2% per year simple interest. How much

1 answer:

4 0

$~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \£990\\ r=rate\to 2\%\to \frac{2}{100}\dotfill &0.02\\ t=years\dotfill &4 \end{cases} \\\\\\ A=990[1+(0.02)(4)]\implies A=990(1.02)(4)\implies A=4039.2$

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For every 1 girl in Mr Hegarty's class there are 2 boys. What is the ratio of boys to girls in the class?

ivolga24 [154]

2:1 is the ratio for boys to girls

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2 years ago

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dedylja [7]

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3 years ago

The height H of an ball that is thrown straight upward from an initial position 3 feet off the ground with initial velocity of 9

mariarad [96]

Answer:

The ball will be 84 feet above the ground 1.125 seconds and 4.5 seconds after launch.

Step-by-step explanation:

Statement is incorrect. Correct form is presented below:

The height $h(t)$ of an ball that is thrown straight upward from an initial position 3 feet off the ground with initial velocity of 90 feet per second is given by equation $h(t) = 3 +90\cdot t -16\cdot t^{2}$ , where $t$ is time in seconds. After how many seconds will the ball be 84 feet above the ground.

We equalize the kinematic formula to 84 feet and solve the resulting second-order polynomial by Quadratic Formula to determine the instants associated with such height:

$3+90\cdot t -16\cdot t^{2} = 84$

$16\cdot t^{2}-90\cdot t +81 = 0$ (1)

By Quadratic Formula:

$t_{1,2} = \frac{90\pm \sqrt{(-90)^{2}-4\cdot (16)\cdot (81)}}{2\cdot (16)}$

$t_{1} = 4.5\,s$ , $t_{2} = 1.125\,s$

The ball will be 84 feet above the ground 1.125 seconds and 4.5 seconds after launch.

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3 years ago

A blueprint for a house has a scale of 1:5 feet. The living room has a length of 2.5 inches and a width of 3 inches. What is the

stiks02 [169]

Answer:

Step-by-step explanation:

Set this up as a proportion, with inches on the top and feet on the bottom for our scale. We will find the actual length first, then we'll find the width.

$\frac{in}{ft}:\frac{1}{5}=\frac{2.5}{x}$

Cross multiply to get that the actual length is 5(2.5) = 12.5 feet. Now for the width:

$\frac{in}{ft}:\frac{1}{5}=\frac{3}{x}$

Cross multiply to get that the actual width is 5(3) = 15 feet.

If you want the area of the room, multiply the length times the width to get

A = 15(12.5)

A = 187.5 feet squared

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3 years ago

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Misha Larkins [42]

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3 years ago