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Igoryamba
3 years ago
15

What is the sum of (2+4i) and (7+11i)

Mathematics
2 answers:
Romashka [77]3 years ago
3 0
Add like terms
2+4i +7 +11 i =
2+7 + 4i+11i =
9+15i
Ksivusya [100]3 years ago
3 0
To find the sum on (2 + 4i) and (7 + 11i) we need to add like terms

The phrase, “like terms” refers to numbers with the same variables 

To combine 2 + 4i and 7 + 11i

We need to add the constants, (2 and 7), and the variables (4i and 11i) together and then add a plus sign between the two sums to get our answer

2 + 7 = 9

4i + 11i = 15i

At this point, it is not possible to combine 9 and 15i any further, because they are not like terms, instead we just add a plus sign between the two

15i + 9 

SHORT EXPLAINATION:

To solve, add the numbers without the “i” together, then add the numbers with the “i” together, take the two sums and put a plus sign between them

2 + 7 = 9
4 + 11 = 15

Answer: 15i + 9

I hope this helps! <3


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Jimmy invests $2500 in an account with a 5% interest rate, making no other deposits or withdrawals. What will Jimmy’s account ba
Alik [6]

Answer:

We conclude that the total amount accrued, principal plus interest,  from compound interest on an original principal of  $2500 at a rate of 5% per year compounded 6 times per year over 8 years is $3723.38.

Step-by-step explanation:

Given

Principle P = $2500

Interest rate r = 5% = 0.05

Time period t = 8 years

To determine

Accrue Amount A = ?

Using the compound interest equation

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

where:

A represents the Accrue Amount

P represents the Principal Amount

r represents the interest rate

t represents the time period in years

n represents the number of compounding periods per unit t

Important tip:

  • Given that the interest is compounded 6 times each year, therefore, the value of n = 6.

now substituting P = 2500, r = 0.05, t = 8 and n = 6 in the equation

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

A=2500\left(1+\frac{0.05}{6}\right)^{\left(6\right)\left(8\right)}

\:A=2500\left(1+\frac{0.05}{6}\right)^{48}

A=2500\times 1.48935      ∵  \left(1+\frac{0.05}{6}\right)^{48\:\:}=1.48935

A=\:3723.38 $

Therefore, we conclude that the total amount accrued, principal plus interest,  from compound interest on an original principal of  $2500 at a rate of 5% per year compounded 6 times per year over 8 years is $3723.38.

8 0
2 years ago
A bag contains 20 slips of paper Individually numbered. If a slip of paper and a letter in the word PENNSYLVANIA is chosen at ra
Soloha48 [4]

Answer:

P(M4\ n\ V) = 2.083\%

Step-by-step explanation:

Given

Paper = 20 slips

Word: PENNSYLVANIA

Required

Determine P(Multiple of 4 and V)

The sample size of the 20 slips is:

n(S) = 20

The outcomes of multiples of 4 is:

M4= \{4,8,12,16,20\}

n(M4) = 5

So, the probability of multiples of 4 is:

Pr(M4) = \frac{5}{20}

Pr(M4) = \frac{1}{4}

The sample size of PENNSYLVANIA is:

n(S) = 12

The outcome of V is:

n(V) = 1

So, the probability of V is:

P(V) = \frac{1}{12}

So, the required probability is: P(Multiple of 4 and V)

P(M4\ n\ V) = P(M4) * P(V)

P(M4\ n\ V) = \frac{1}{4} * \frac{1}{12}

P(M4\ n\ V) = \frac{1}{48}

P(M4\ n\ V) = 0.02083

Express as percentage

P(M4\ n\ V) = 0.02083 * 100\%

P(M4\ n\ V) = 2.083\%

4 0
3 years ago
Find the perimeter and the area of the polygon with the given vertices.
7nadin3 [17]
Answer:
Area : 45 Perimeter : 2,025

Explanation:
Area: 5 times 9 equals 45. The 5 is the polygon’s base, the 9 is the polygon’s height.
Perimeter: 5 times 5 times 9 times 9 equals 2,025. Perimeter is base times base times height times height.

Glad I could help! :)
3 0
3 years ago
What's 6+□=3+□ please help me I really need the answer
Alexeev081 [22]
6+3 = 3+6 is your answer
8 0
2 years ago
Read 2 more answers
A singer makes 2% royalties on the sales of her album. Which proportion could be used to determine her sales if she made $44,000
Nikitich [7]
I believe it is the second one :)
8 0
3 years ago
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