Evaluate the expression (3-2i)(3-2i) and write the result in the form a+bi ,where a is the real part of your answer and bis the coefficient in front of the imaginary part

[tex]~~~~~~ \stackrel{\textit{\Large 4.8\% semiannually}}{\textit{Compound Interest Earned Amount}} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$1000\\ r=rate\to 4.8\%\to \frac{4.8}{100}\dotfill &0.048\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{semiannually, thus twice} \end{array}\dotfill &2\\ t=years\dotfill &1 \end{cases}[/tex]

[tex]A=1000\left(1+\frac{0.048}{2}\right)^{2\cdot 1}\implies \boxed{A\approx 1048.58}~~\textit{\Large \checkmark} \\\\[-0.35em] ~\dotfill\\\\ ~~~~~~ \stackrel{\textit{\Large 4.7\% quarterly}}{\textit{Compound Interest Earned Amount}}[/tex]

[tex]A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$1000\\ r=rate\to 4.7\%\to \frac{4.7}{100}\dotfill &0.047\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &1 \end{cases} \\\\\\ A=1000\left(1+\frac{0.047}{4}\right)^{4\cdot 1}\implies \boxed{A\approx 1047.83}[/tex]

Answer:

400

Step-by-step explanation:

[tex] \huge\mathbb\orange{ANSWER} [/tex]

[tex] \mathsf \purple{c) \: 400}[/tex]

Answer:

y=2x-1

Step-by-step explanation:

Answer:

F(n) = 6n

Step-by-step explanation:

An explicit sequence goes by the pattern: A0 + (n-1)d, where A0 is the starting term, n is the nth term in the sequence, and d is the common difference. The explicit formula for this sequence is F(n) = 6 + 6(n-1), or 6n

Answer:

3/15

Step-by-step explanation:

there is 15 kinds of fruit totally

4 + 1 + 5 + 3 + 2 = 5 + 5 + 3 + 2 = 10 + 3 + 2 = 13 + 2 = 15

there are 3 oranges; therefore the bility that an orange will be picked is 3 out of 15

Answer:

i think I'd be / the answer is 46

Answer:

1 gallon = 4 quarts

4 × 9 = 36

36 quarts are in 9 gallons

Answer:

29037.036 miles

Step-by-step explanation

There are two possible ways to solve this problem.

The first option starts with the $2800 dollars for the years. You first want to divide this by $2.70, because it will give you the amount of gallons of gas you can buy with that money.

2800/2.70 = 1037.037

This means you can buy 1037.037 gallons of gas in the year. Now you need to convert this to miles by multiplying by the amount of miles per gallon.

1037.037 x 28 = 29037.036 gallons

The second way to look at this is dimensional analysis. If you have learned this, then continue on reading this, but if you haven't I might only confuse you. I only suggest this because it can make it a little easier.

For the dimensional analysis, you need to start with what you are given and move to what you need to know, so you will start with the $2800 dollars and move to gallons. $2.70 per gallon and 28 miles per gallon are your conversion factors.

Set it up like this:

[tex]2800 dollars * \frac{1 gallon}{2.70 dollars} * \frac{28 miles}{1 gallon} = 29037.036 miles[/tex]

This allows the equation to be more organized, and you can check your work by canceling the units.

Hope this helps.

[tex]y \propto \dfrac 1x\\\\\implies y = \dfrac kx \\\\\implies \dfrac 14 = \dfrac k{8}\\\\\implies k=2\\\\\text{When}~ x =-4\\\\y = \dfrac{k}{x} = \dfrac{2}{-4}= -\dfrac 12[/tex]

Answer:

z = 104°

Step-by-step explanation:

        A straight line is 180° which helps us to solve this problem.

                       180° - 76° = 104°

        This means that angle y will be 76° and x will be 104° because of vertical angles.

Answer:

34496

Step-by-step explanation:

i dont know how 2 explain this but you have to do the traditional way of multiplying PLS MARK BRAINLIEST

Answer:

72 orange marbles

Step-by-step explanation:

First, divide 45 by 5 to determine how many red units there are. Then, use that number (9) to multiply with 8 to get the number of orange marbles, which is 72.

Hopefully this helps- let me know if you have any questions!

tax will be = 50 x 5% = $2.5

Answer:

Step-by-step explanation:

If order matters (much like forming... a 4 digit number-maybe for a safe?), you will be computing "permutations".  The  formula for "r" items chosen from  "n" items, where order matters is   Npermutations = nPr  =  n!/ (n-r)!

Npermutations = 10P6 =  10!/(10-6)= 10*9*8*7*6*5 = 151200

When order doesn't matter (such as in dealing a poker hand, its the cards you end up with that matter not the order in which they are dealt into your hand) you will be computing combinations.   The formula for the number of combinations of  "r "items from "n" choices is  Ncombinations =  nCr = n!/((n-r)!r!)

Ncombinations = 10C6 =  10!/((10-6)!6!) =  (10*9*8*7)/(4*3*2*1) = 210

Notice how there are far fewer combinations than permutations.  This makes sense because if you think about how 6 colors  {red, blue, green, white, black, yellow} can be arranged, there are 6!=720 ways to arrange these 6 colors if order matters.  If order doesn't matter, this set of 6 colors counts only once.
Same thing with numbers :)

Hope this helped, brainliest is always appreciated! :)

Have a nice day CX
~Mitsuna

Answer:

Step-by-step explanation:

Answer:

1) the connection between 2 or more meausures

2) when the r value is closer to 1 or -1 it is a stronger correlation

3) positive correlation would be height and weight. Taller people tend to be heavier. A negative correlation is a relationship between two variables in which an increase in one variable is associated with a decrease in the other

Step-by-step explanation:

choose me as brainlyest:)

Answer:

Circumference of the circle=383.32cm

Step-by-step explanation:

r= 61cm π = 3.142

Formula for the circumference of a circle=2πr

Therefore;

Circumference=2×3.142×61 = 383.32cm.

Answer:

Explanation:

So you want to start by finding the area of the big square.

We know the width of the big square is 60cm. The length of the big square is

19

+

24

+

13

=

56

Big square

A

r

e

a

=

L

⋅

W

=

56

⋅

60

=

3360

Now let’s find the little square inside the bigger square. We see from the picture that the width is 34 and the length is 24cm. Using the same formula, we can find the area of the little square.

Little square

A

r

e

a

=

L

⋅

W

=

24

⋅

34

=

816

The area enclosed in the area of the big square minus the area of the little square.

3360

−

816

=

2544

So the area enclosed is

2544

c

m

2

Step-by-step explanation:

[tex]\textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=10\\ h=18 \end{cases}\implies V=\cfrac{\pi (10)^2(18)}{3}\implies \stackrel{using~\pi =3.14}{V=1884}[/tex]

Answer:

It will be C

Step-by-step explanation:

Because it says least to greatest and C says 1/2 3/8 5/16 7/16 9/32 15/32 and that is least to greatest there you go

Answer:

Read the explanation

Step-by-step explanation:

look at the photo

[tex]6 - \sqrt{5} \times \frac{6 + \sqrt{5} }{6 + \sqrt{5} } [/tex]

[tex] \frac{(6 - \sqrt[]{5})(6 + \sqrt{5} ) }{6 + \sqrt{5} } = \frac{36 - 5}{6 + \sqrt{5} } = \frac{31}{6 + \sqrt{5} } [/tex]

Step-by-step explanation:

3 ( p + 4 ) = 48

3p + 12 = 48

3p = 48 - 12

3p = 36

p = 36 ÷ 3

p = 12...

Answer:

the answer should be 477,0457 if x means multiply but if not you are not putting the equation in a correct way

Answer:

4770457

you just need to calculate them

Answer:

4/6 > 4/8

Step-by-step explanation:

To see if the following is true:

We can cross multiply:

[tex]\frac{4}{6}\neq \frac{4}{8}[/tex]        {4* 8 = 32}      {4*6=24}

Thus,

[tex]\frac{4}{6}=32[/tex]

[tex]\frac{4}{8}=24[/tex]

Hence, [tex]\frac{4}{6} > \frac{4}{8}[/tex]

We can also turn them into decimal:

[tex]\frac{4}6=0.6667[/tex]

[tex]\frac{4}{8}=0.5[/tex]

0.5 is NOT greater than 0.6667 which also means that 4/8 is NOT greater than 4/6.

~lenvy~

The value of x in the equation, as a mixed number in simplest form is solved as: x = 2 2/9.

To solve for a variable, say x, in an equation, it means to find the value of x that will make the equation true. Do this by isolating x in the equation.

Given the equation:

x/−8 = −5/18

Cross multiply

18x = (-5)(-8)

18x = 40

Divide both sides by 18

x = 40/18

x = 2 2/9.

Therefore, the value of x in the equation, as a mixed number in simplest form is solved as: x = 2 2/9.

Learn more about equation on:

https://brainly.com/question/1214333

Answer

Step-by-step explanation:

So she needs to give 25 pencils to each student.

1 box = 12

number of boxes = 25/12

                                  =2.08

round it to 3

Answer:

58 seconds

Step-by-step explanation:

Very very easy, no formulas or +,- required here.

You can see that the swim times go till 44 on the line, that is the lowest, that means the FASTEST swim time. But we need the slowest swim time. That we can find by finding where does the line end in the right side. We can see it ends between 56 and 60, and if we calculate, then we can find out that the bar in the middle represents 58, so hence, her slowest timing for her swim time is 58 seconds.

So hence, your answer is 58 seconds!

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If you see someone without a smile, give them one of yours!

Thanks!

~MiniMeteorologist~

Have a great day!

:D

Answer:

B. NRS

Step-by-step explanation:

You have to put the letters left to right.