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koban [17]
2 years ago
8

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar.

Mathematics
2 answers:
UkoKoshka [18]2 years ago
5 0

Answer:

treyeryrthgfhfgh

Step-by-step explanation:

hgfhgfhfhggh

OverLord2011 [107]2 years ago
4 0

Answer:

aaaaaaaaaaaaaaaaaaaaaAaaaaaaaaaaa

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Condense the expression log 2x + log(x² - 9) - log x +3
Rudik [331]
Here the my solutions,hope you understand

4 0
2 years ago
Can anyone help me solve 23, 24?
zimovet [89]

Answer:

Problem 23) y=3x+6

Problem 24) y=-\frac{1}{3}x-5

Step-by-step explanation:

step 1

Find the slope of the given line

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

we have

A(0,2)\ B(3,1)

Substitute the values

m=\frac{1-2}{3-0}

m=-\frac{1}{3}

step 2

Problem 23

we know that

If two lines are perpendicular then the product of its slopes is equal to minus 1

so

m1*m2=-1

Find the slope of the line

we have

m1=-\frac{1}{3}

substitute in the equation and solve for m2

(-\frac{1}{3})*m2=-1

m2=3

with the slope m2 and the point (0,6) find the equation of the line

Remember that

The equation of the line in slope intercept form is equal to

y=mx+b

we have

m=3

b=6 -----> the given point is the y-intercept

substitute

y=3x+6

step 3

Problem 24

we know that

If two lines are parallel, then its slopes are the same

so

with the slope m1 and the point (0,-5) find the equation of the line

The equation of the line in slope intercept form is equal to

y=mx+b

we have

m=-\frac{1}{3}

b=-5 -----> the given point is the y-intercept

substitute

y=-\frac{1}{3}x-5

8 0
3 years ago
Given that AB parallels QR, AB bisects AE, QR bisects QT
enyata [817]

Answer:

  1. Dilate ΔABE by a factor of 2/5 to make ΔA'B'E'

  2. Translate A' to Q

Step-by-step explanation:

We notice the triangles have the same orientation, so no reflection or rotation is involved. The desired mapping can be accomplished by dilation and translation:

  1. Dilate ΔABE by a factor of 2/5 to make ΔA'B'E'

  2. Translate A' to Q

The result will be that ΔA"B"E" will lie on top of ΔQRT, as required.

5 0
2 years ago
Your goal is to create a college fund for your child. Suppose you find a fund that offers an APR of 4 %. How much should you dep
Alisiya [41]

Answer:

$701.12

Step-by-step explanation:

Before doing the computing, notice that if we increase an amount D in,say,  r%, it means that the new amount obtained is D+r% of D = D+(r/100)D = D(1+r/100).

That is to say, increasing an amount D in r% is equivalent to multiplying it by (1+r/100)

Taking into account that <em>APR stands for Annual Percentage Rate</em>, the amount we deposit will be increased 4% each year.  

Generally, in this kind of loans <em>the percentage is prorated monthly</em>. That is to say, <em>the money you have in the account will be increased in (4/12)%= 0.3333% each month. </em>

Let D be the amount we are going to deposit each month.

After the month 1 we will have the money increased in 0.3333% plus the new deposit

D(1+\frac{0.3333}{100})+D=D(1+1.0033)

After the month 2 we will have the money we already had increased in 0.3333% plus the new deposit D

D(1+1.0033)(1.0033)+D=D(1.0033+1.0033^2)+D=D(1+1.0033+1.0033^2)

After the month 3 we will have, for the same reason,

D(1+1.0033+1.0033^2+1.0033^3)

It can be noticed then, that after 18 years (96 moths) we will have an amount in the fund of

D(1+1.0033+1.0033^2+...+1.0033^{96})

If we call  

S=1+1.0033+1.0033^2+...+1.0033^{96}

then

1.0033S=1.0033+1.0033^2+...+1.0033^{96}+1.0033^{97}

Subtracting the equations

S-1.0033S=1-1.0033^{97}\Rightarrow S(1-1.0033)=1-1.0033^{97}

and we have

S=\frac{1-1.0033^{97}}{1-1.0033}=114.10298

So, after 18 years the amount in the fund will be

114.10298D

If we want this amount to be $80,000 then 114.10298D=80,000

D=\frac{80,000}{114.10298}\approx \$ 701.12

So, the money we would have to deposit each month in a fund with an APR of 4% to accumulate $80,000 in 18 years, is

\boxed{D=\$701.12}

5 0
3 years ago
What is the product?
bonufazy [111]
B. 15r^2 - 8 @*×£×*×(
4 0
3 years ago
Read 2 more answers
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