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I am Lyosha [343]
3 years ago
12

$6400 is deposited into an account that earns 5% compounded continuously How much money will there be in 3 years?

Mathematics
2 answers:
bazaltina [42]3 years ago
8 0

Answer:

$7408.8

Step-by-step explanation:

Please see the step-by-step solution in the picture attached below.

Hope it can help you. Have a nice day !

ankoles [38]3 years ago
3 0

Answer:

$7408.8

Step-by-step explanation:

can't really explained

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A rock is thrown upward with a velocity of 17 meters per second from the top of a 31 meter high cliff and it missies the cliff o
Vinvika [58]

Answer:

4.5\ \text{s}

Step-by-step explanation:

t = Time taken

u = Initial velocity =17 m/s

v = Final velocity

s = Displacement

a = Acceleration

g = Acceleration due to gravity = 9.81 m/s² = a

v^2-u^2=2as\\\Rightarrow s=\dfrac{v^2-u^2}{2a}\\\Rightarrow s=\dfrac{0^2-17^2}{2\times -9.81}\\\Rightarrow s=14.73\ \text{m}

Total height the rock is to fall when it is 8 meters from the ground is 14.73+(31-8)=37.73\ \text{m}

v=u+at\\\Rightarrow t=\dfrac{v-u}{a}\\\Rightarrow t=\dfrac{0-17}{-9.81}\\\Rightarrow t=1.73\ \text{s}

Time taken to reach the maximum height is 1.73 s.

s=ut+\dfrac{1}{2}at^2\\\Rightarrow 37.73=0+\dfrac{1}{2}\times 9.81t^2\\\Rightarrow t=\sqrt{\dfrac{37.76\times 2}{9.81}}\\\Rightarrow t=2.77\ \text{s}

Time taken from the maximum height to the point which is 8 m from the ground is 2.77 s.

So, time taken from the moment of the throw to the point 8 m from the ground is 1.73+2.77=4.5\ \text{s}.

5 0
3 years ago
Geometry <br> Find the length of x
Shkiper50 [21]

Answer:

x=4.8

Step-by-step explanation:

AE.EC=DE.EB

6×8=10×x

48=10x

x=4.8

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3 years ago
The ratio of the measures of the angle of a triangle is 1to2to3 find the measure of each angle<br>​
KiRa [710]

Answer:

213

Step-by-step explanation:

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3 years ago
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2x^2 - 6x - 56
2 (x^2 - 3x - 28)

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