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saveliy_v [14]
3 years ago
15

Austin invested $11,000 in an account paying an interest rate of 5.7% compounded quarterly. Assuming no deposits or withdrawals

are made, how much money, to the nearest dollar, would be in the account after 6 years?
Physics
2 answers:
Stels [109]3 years ago
5 0

Answer:

15448

Explanation:

A=11000(1.01425)^{24}

A=11000(1.01425)  

24

daser333 [38]3 years ago
3 0

Answer:

15448

Explanation:

Compounded Quarterly:

A=P\left(1+\frac{r}{n}\right)^{nt}

A=P(1+

n

r

​

)

nt

Compound interest formula

P=11000\hspace{35px}r=0.057\hspace{35px}t=6\hspace{35px}n=4

P=11000r=0.057t=6n=4

Given values

A=11000\left(1+\frac{0.057}{4}\right)^{4(6)}

A=11000(1+

4

0.057

​

)

4(6)

Plug in values

A=11000(1.01425)^{24}

A=11000(1.01425)

24

Simplify

A=15448.0290759

A=15448.0290759

Use calculator

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Yakvenalex [24]

Answer:

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2 years ago
An inductor with an inductance of .5 henrys (H) is to be connected to a 60 Hz circuit. What will the inductive reactance (X L) b
Anika [276]

Answer:

1885.2 ohms

Explanation:

Step one:

given data

L=5H

f=60Hz

Required

The inductive reactance of the inductor

Step two:

Applying the expression

XL= 2πfL

substitute

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XL=1885.2 ohms

4 0
3 years ago
What would be formed if you had lots of atoms, all with one proton?
alexandr402 [8]

Answer:

Explanation:

If you add or subtract a proton from the nucleus, you create a new element. If you add or subtract a neutron from the nucleus, you create a new isotope of the same element you started with. In a neutral atom, the number of positively charged protons in the nucleus is equal to the number of orbiting electrons.

8 0
2 years ago
The magnitude of the Poynting vector of a planar electromagnetic wave has an average value of 0.724 W/m2. What is the maximum va
liq [111]

Answer:

The maximum value of the magnetic field in the wave is 7.79\times10^{-8}\ T.

Explanation:

Given that,

Average value of pointing vector = 0.724 W/m²

We need to calculate the magnetic field

Using formula of pointing vector

S=\dfrac{1}{\mu_{0}}(E\times B)

The average value of pointing vector

S=\dfrac{1}{2\mu_{0}}\times E_{0}B_{0}....(I)

We know that,

E_{0}=cB_{0}

Put the value of E_{0} in equation (II)

S=\dfrac{1}{2\mu_{0}}\times c(B_{0})^2

substitute the value in the formula

0.724=\dfrac{1}{2\times4\pi\times10^{-7}}\times3\times10^{8}\times (B_{0})^2B_{0}=\sqrt{\dfrac{0.724\times2\times4\pi\times10^{-7}}{3\times10^{8}}}B_{0}=7.79\times10^{-8}\ T

The maximum value of the magnetic field in the wave is 7.79\times10^{-8}\ T.

4 0
3 years ago
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DaniilM [7]
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