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3 years ago

Write in standard notation (1/sqrt2-1/sqrt2 i)^6

1 answer:

7 0

Hello,

z=(1/√2-1/√2 i)^6=1/8*(1-i)^6=1/8*(√2∡-45°)^6=1/8*8∡-270°=1∡90°=i
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Seth has a bank account which pays 1.01% interest, compounded quarterly. Seth withdraws $4,567 from the account every quarter fo

dimulka [17.4K]

Answer:

C. $538,021.66

Step-by-step explanation:

It is given that the money Seth withdraws was compounded every quarter for 35 years. So, we get,

Amount withdrawn every quarter, P = $4567

Rate of interest, r = $\frac{0.0101}{4}$ = 0.002525

Time period, n = 35 × 4 = 140

Now, as we know the formula for annuity as,

$P=\frac{r \times PV}{1-(1+r)^{-n}}$

where P = installments, PV = present value, r = rate of interest and n = time period.

This gives, $PV=\frac{P \times [1-(1+r)^{-n}]}{r}$

i.e. $PV=\frac{4567 \times [1-(1+0.002525)^{-140}]}{0.002525}$

i.e. $PV=\frac{4567 \times [1-(1.002525)^{-140}]}{0.002525}$

i.e. $PV=\frac{4567 \times [1-0.7021]}{0.002525}$

i.e. $PV=\frac{4567 \times 0.2975}{0.002525}$

i.e. $PV=\frac{1358.68}{0.002525}$

i.e. $PV=538,091.08$

So, the closest answer to initial value of the account is $538,021.66

Hence, option C is correct.

6 0

3 years ago

Read 2 more answers

$3000 deposit that earns 6% annual interest compounded quarterly

Lostsunrise [7]

Your interest would be $184.9 for 1 year so your total amount would be $3184.09

7 0

3 years ago

Explain to another student how to solve the equation.

AveGali [126]

Answer:

Solve for X ( The question I did was an example )

Step-by-step explanation:

To solve and equation like 2x+9=30 you will have to isolate the number with a variable. You need to subtract 9 on both sides for that to happen.

2x=21

Now the next step is to divide. You have to divide to get the answer.

x=21/2

x= 10.5

5 0

2 years ago

How would you write 105% as a decimal.

Luba_88 [7]

Answer:

1.05

Step-by-step explanation:

number starts as .105

slide the decimal over 1 space

1.05

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3 years ago

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What is 8blank7 hundred divided by 4 equal

Gnoma [55]

$\frac{870}{4} = \frac{435}{2} 
$

<span>(Decimal: 217.5)
</span>
For if its
$\frac{8700}{4}$

Then is $=2175$

~ Hope this helps

3 0

3 years ago