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3 years ago

Simplify the expression.(1 − 6i) + (5 + i)

Mathematics

2 answers:

Zigmanuir [339]3 years ago

6 0

Answer:

6-5i

Step-by-step explanation:

To solve for this equations we have to group the like terms together

(1-6i)+(5+i)

we will group -6i with +i and positive 1 with positive 5

so we get (-6i+i)+(1+5)

-5i+6 or can be written as 6-5i

-6i+i ( there is actually an imaginary 1 with i and you subtract these 2 numbers because the signs are different and use the signs of the larger number which is 6 and the sign is negative.

kvasek [131]3 years ago

4 0

Answer:

6+-5i

6-5i

Step-by-step explanation:

(1-6i)+(5+i)

We do not need the ( ) since the operation is just addition.

1-6i+5+i

Reorder using commutative property so that like terms are together:

1+5+-6i+i

Use multiplicative identity property:

1+5+-6i+1i

Simplify:

6+-5i

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Solve for x: 1 < x + 3 < 4

Otrada [13]

Answer:

The answer is D

Step-by-step explanation:

$1 - 3 < x < 4 - 3 \\ - 2 < x < 1$

8 0

2 years ago

Use the "rule of 72" to estimate the doubling time (in years) for the interest rate, and then calculate it exactly. (Round your

bonufazy [111]

Answer:

Using the rule of 72, the doubling time is 9.35 years.

The exact answer is that the doubling time is 8.89 years.

Step-by-step explanation:

By the rule of 72, we have that the doubling time D is given by:

$D = \frac{72}{Interest Rate}$

The interest rate is in %.

In our exercise, the interest rate is 7.7%. So, by the rule of 72:

$D = \frac{72}{7.7} = 9.35$ .

Exact answer:

The exact answer is going to be found using the compound interest formula(since the rule of 72 is a simplification of this formula).

The compound interest formula is given by:

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

Where A is the amount of money, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit t and t is the time the money is invested or borrowed for.

So, for this exercise, we have:

We want to find the doubling time, that is, the time in which the amount is double the initial amount, double the principal.

$A = 2P$

$r = 0.077$

There are 52 weeks in a year, so $n = 52$

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

$2P = P(1 + \frac{0.077}{52})^{52t}$

$2 = (1.0015)^{52t}$

Now, we apply the following log propriety:

$\log_{a} a^{n} = n$

So:

$\log_{1.0015}(1.0015)^{52t} = \log_{1.0015} 2$

$52t = 462.44$

$t = \frac{462.44}{52}$

$t = 8.89$

The exact answer is that the doubling time is 8.89 years.

6 0

3 years ago

What are the constant terms in the expression?<br> 8m−5n+2+m−14

elena-s [515]

The constant terms are: -14, and +2

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3 years ago

Read 2 more answers

What is the fractional notation of 2.4%

Vanyuwa [196]

2.4% = 2.4/100 or as a decimal fraction 0.024.

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3 years ago

List three ways o express 3 to the 5 power as a product of powers

tia_tia [17]

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3 years ago

Simplify the expression.(1 − 6i) + (5 + i)​

Simplify the expression.(1 − 6i) + (5 + i)