1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
True [87]
3 years ago
12

Need help with this im confused

Mathematics
1 answer:
Jet001 [13]3 years ago
6 0

Answer:

-\frac34 -\frac14 i

Step-by-step explanation:

Let's start with distributing: \frac1{4i}-\frac{3i}{4i} Simplify i with i in the second term, and rearrange.-\frac34 +\frac1{4i}. Since i in the denominator looks ugly, let's multiply top and bottom by i. -\frac34 +\frac i{4i^2} = -\frac34 +\frac i{4(-1)} =-\frac34 -\frac14 i. The middle passage is based on the fact that, by definition, i^2=-1

You might be interested in
Factor completely: 2x^3 – 32x
anastassius [24]
2x^3-32x= \\
2x(x^2-16)= \\
2x(x^2-4^2)= \\
\boxed{2x(x+4)(x-4)} \Leftarrow
\hbox{answer B}
7 0
3 years ago
Use the table to identify the values of p and q that should be used to factor2 +3x-10 as (x+ p)(x q).
Nat2105 [25]

we are given

x^2 +3x -10

it's factor as (x+p)(x+q)

so, we can write as

x^2 +3x -10= (x+p)(x+q)

we can simplify it

x^2 +3x -10= x^2 +(p+q)x +pq

now, we can compare both sides

coefficient of x must be equal

so, we get

3= (p+q)

(p+q)=3

now, we can look at the table where p+q =3

so, we can see that when p+q=3 .... then p=-2 and q=5

so, option-A.......Answer


3 0
3 years ago
Ella invested $2,700 in an account paying an interest rate of 5.4% compounded
Dmitry [639]

Answer:

<em>The account will take 7 years to reach a value of $4,020</em>

Step-by-step explanation:

<u>Compound Interest </u>

When it occurs interest in the next period is then earned on the principal sum plus previously accumulated interest.

The formula is:

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

Where:

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

Ella invested P=$2,700 in an account with an interest rate of r=5.4% (0.054) compounded monthly. Since there are 12 months in a year, n=12.

It will be calculated when will the account have a value of A=$4,020. Substituting all the values in the formula:

{\displaystyle 4,020=2,700\left(1+{\frac {0.054}{12}}\right)^{12t}}

Calculating:

{\displaystyle 4,020=2,700\left(1.0045)^{12t}}

Dividing by 2,700:

{\displaystyle \frac{4,020}{2,700}=\left(1.0045)^{12t}}

To solve this equation for t, we need to apply logarithms:

{\displaystyle \log\frac{4,020}{2,700}=\log\left(1.0045)^{12t}}

Applying the logarithm power rule:

\displaystyle \log\frac{4,020}{2,700}=12t\log 1.0045

Dividing by 12log 1.0045:

\displaystyle t=\frac{\log\frac{4,020}{2,700}}{12\log 1.0045}

Calculating:

t= 7.39 years

Rounding to the nearest year, the account will take 7 years to reach a value of $4,020

3 0
3 years ago
Read 2 more answers
You are standing next to a really big circular lake. You want to measure the diameter of the lake, but you don't want to have to
Nuetrik [128]
The diameter would be 400 because one of the two formulas to find a circumference is C= pi (D) so according to ur information, the diameter would be 400
5 0
3 years ago
Read 2 more answers
Which of the following are a solution to be inequality?
antoniya [11.8K]
V=7 and v=5 because since it says less than or equal to it has to be a number less than 7 or a number equal to 7
7 0
3 years ago
Other questions:
  • SOLVE: 6^3x+2 = 4^x-5
    15·1 answer
  • A central angle in a circle measures 120°. What is the measure of its intercepted arc?
    13·2 answers
  • Find the area of this shape ​
    6·2 answers
  • [(√4 + 3)2 – 9] / (√9 – 1)3 * 2
    10·1 answer
  • What numbers are equivalent to 8%
    7·2 answers
  • Find the area of the shaded region. Round your answer to the nearest tenth. Put the units on the answer for full credit
    9·1 answer
  • The ratio of the length and breadth of a rectangle is 5:4 and its area is 180 cm
    13·1 answer
  • Triangle ABC is similar to triangle FGH.
    8·1 answer
  • Find shaded region of given figure​
    5·1 answer
  • If y varies directly as x, and y = 12 when x = 72, then what is the value of x when y = 3 ?
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!