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3 years ago

4000 principle earning 6% compounded annually after 5 years

1 answer:

7 0

Principal, P= 4000
interest = 6%/4 = 0.015 (per quarter)
Number of periods, n = 5*4 =20 quarters

Compound interest formula:
Future value:
$F=P(1+i)^n$
$=4000(1+.015)^{20}$
$F=5387.42$ to the nearest cent.

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What is the volume of this container?

Keith_Richards [23]

Answer:

The volume of the container is $56\ in^{3}$

Step-by-step explanation:

we know that

The volume of the figure is equal to

$V=Bh$

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B is the area of the base

h is the height of the figure

Let

$h=4\ in$

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$B=(4*4)-(1*2)=14\ in^{2}$

substitute

$V=14*4=56\ in^{3}$

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3 years ago

Find the value of x. Round your answer to the nearest tenth.

harkovskaia [24]

Answer:

3.106

Step-by-step explanation: hope this helps

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2 years ago

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Why did Miss Muffet Need a Road Map?

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Step-by-step explanation:

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2 years ago

Charlotte is driving at 52.7 mi/h and receives a text message. She looks down at her phone and takes her eyes off the road for 4

likoan [24]

Answer:

385.7 ft

Step-by-step explanation:

The relation between speed, distance, and time is ...

distance = speed × time

<h3>Compatible units</h3>

The speed is given in miles per hour, but the time is given in seconds and the distance is wanted in feet. This suggests a conversion of speed to feet per second is appropriate.

$\dfrac{52.7\text{ mi}}{\text{h}}\times\dfrac{1\text{ h}}{3600\text{ s}}\times\dfrac{5280\text{ ft}}{1\text{ mi}}=\dfrac{52.7\cdot22\text{ ft}}{15\text{ s}}=77.29\overline{3}\text{ ft/s}$

<h3>Distance</h3>

The distance traveled is the product of this speed and the time period.

$\dfrac{77.29\overline{3}\text{ ft}}{1\text{ s}}\times4.99\text{ s}=385.6937\overline{3}\text{ ft}\approx\boxed{385.7\text{ ft}}$

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1 year ago

3.3 A circle has a radius of 12cm. An angle of 3.2 radians is subtended at the centre by an arc. Calculate the length of the arc

Inessa [10]

Answer:

S = 38.4 centimeters.

Step-by-step explanation:

<u>Given the following data;</u>

Radius, r = 12 cm
Angle = 3.2 rads

To find the length of the arc of a circle;

A full circle measures an angle of 360 degrees.

π = 180°

So; Angle, A = 360° = 2π

Therefore, a full circle is equal to 2π in terms of radians (rads).

Also, the circumference (the length of an arc) of a circle is equal to 2πr or Ar.

Mathematically, the length of the arc of a circle is given by the formula;

S = rA

Where;

S is the length of the arc.
A is the angle measured in radians.

Substituting into the formula, we have;

S = 12 * 3.2

<em>S = 38.4 centimeters.</em>

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2 years ago