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weqwewe [10]
3 years ago
15

Simplify the given expression:

Mathematics
1 answer:
maria [59]3 years ago
8 0
We will multiply the two using the distributive property:
-5(1 - 2i) + 3i(1 - 2i)
= -5 + 10i + 3i - 6i²
Now, i² = -1
= -5 + 10i + 3i -6(-1)
= 6 - 5 + 10i + 3i
= 1 + 13i
The second option is correct.
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The Hughes purchased a new condo for $ 1,000,000. at 8 % for 30 years. What is the monthly payment?
viktelen [127]
We know that

P = A/D
Where,
P = monthly payments,
A = Total amount =$1,000,000
D=[(1+r/12) ^{12*t}-1]/[(r/12)*(1+r/12)^{12*t}]

in this problem

t=30 years
r=8%----> 0.08

D=[(1+0.08/12) ^{12*30}-1]/[(0.08/12)*(1+0.08/12)^{12*30}] =136.2835

P=1000000/136.2835-----\ \textgreater \  P=$7337.65


the answer is
$7337.65

4 0
3 years ago
Mrs. Vance decided to buy dress shirts for her two sons. She bought her older son a blue shirt for $9.91, and she bought her you
AveGali [126]

Hope the picture will help you

4 0
2 years ago
Read 2 more answers
Two chemists working for a chicken fast-food company, have been producing a very popular sauce. Let’s call then Jesse and Mr. Wh
a_sh-v [17]

Answer:

Check the explanation

Step-by-step explanation:

Let \overline{x} and \overline{y} be sample means of white and Jesse denotes are two random variables.

Given that both samples are having normally distributed.

Assume \overline{x} having with mean \mu_{1} and \overline{y} having mean \mu_{2}

Also we have given the variance is constant

A)

We can test hypothesis as

H0: \mu_{1} =  \mu_{2}H1: \mu_{1} > \mu_{2}

For this problem

Test statistic is

T=\frac{\overline {x}-\overline {y}}{s\sqrt{\frac {1}{n1} +\frac{1}{n2}}}

Where

s=\sqrt{\frac{(n1-1)*s1^{2}+(n2-1)*s2^{2}}{n1+n2-2}}

We have given all information for samples

By calculations we get

s=2.41

T=2.52

Here test statistic is having t-distribution with df=(10+7-2)=15

So p-value is P(t15>2.52)=0.012

Here significance level is 0.05

Since p-value is <0.05 we are rejecting null hypothesis at 95% confidence.

We can conclude that White has significant higher mean than Jesse. This claim we can made at 95% confidence.

3 0
3 years ago
The larger of two numbers is five more than twice the smaller number. The sum of the two numbers is 38. Find the numbers.
Damm [24]

Answer:

I would set this up as:

let: lesser number = x

     greater number = 2x + 5

Restating the word problem:

lesser number + greater number = 38

        x           +  2x + 5             = 38

Solving:  3x + 5 = 38

                  - 5     -5

             ---------------

              3x      =  33

              ---          ---

               3            3

               x        =  11

Substitution for the greater number:

        2(11) + 5

          22    + 5

              27

8 0
3 years ago
Read 2 more answers
What 9 intergers are between -3.5 and 5.5
laila [671]
3.5  3.4   3.3   3.2   3.1   3   -5.5  -1  -2 
6 0
3 years ago
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