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denis-greek [22]
3 years ago
6

Find the slope of the line that contains (−9, 1) and (3, 6).

Mathematics
1 answer:
Neko [114]3 years ago
6 0

Answer:

5/12

Step-by-step explanation:

slope is  \frac{1y-2y}{1x-2x}

so \frac{6 - 1}{3 - (-9)} and that is 5/12

Please mark brainliest!!! Thanks.

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What number must you add to complete the square x^2+2x=9
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Answer:

+ 1

Step-by-step explanation:

Given

x² + 2x = 9

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(1)x + 1² = 9 + 1²

(x + 1)² = 10

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3 years ago
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Are triangles ABC and EBD congruent? Explain
vladimir2022 [97]

Answer:

Yes, they are congruent!

Step-by-step explanation:

because they are the same shape meaning they will have the same angle/degree.

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Which is the equation of the line that has a slope of 1/2​
aleksley [76]

Answer:

y=1/2x-2

Step-by-step explanation:

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2 years ago
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Aryana wants to invest $43,000. She has two options. Option A gives her 6% compounded quarterly. Option B gives her 6% simple in
solmaris [256]

Answer:

Option A earns higher interest($84115.58)

the difference in interest between the two option is  $197.9

Step-by-step explanation:

 In the problem we are going to apply both the simple interest formula and compound interest formula and compare which has the best/higher returns

Given data

Principal P= $43,000

Rate r= 6%= 0.06

time t= 3years

n= 4 (applicable for compound interest compounded quarterly)

solving for option A gives her 6% compounded quarterly

the compound interest formula is

A= P(1+\frac{r}{n} )^n^t\\A= 43000(1+\frac{0.06}{4} )^{4} ^*^3

A=43000(1+0.015)^{12} \\A=43000(1.015)^{12} \\A=43000*1.1956\\A= 51411.58

Interest is A-P= 51411.58-43000= 8411.58=$8411.58

solving for option B  which gives her 6% simple interest annually

the simple interest formula is

A=P(1+r)^{t} \\A=43000(1+0.06)^3\\A=43000(1.06)^3\\A=43000*1.191\\A= 51213.68

Interest isA-P=51213.68-43000= 8213.68= $8213.68

calculating the diference in interest between the two options we have

8411.58-8213.68= 197.9= $197.9

Option A earns higher interest

8 0
3 years ago
Emma puts $1000 in a savings account that pays 4% interest, compounded monthly. How much money will be in the account 3 years la
lorasvet [3.4K]

Answer:

Option A. \$1,127.27  

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

A=P(1+\frac{r}{n})^{nt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

t=3\ years\\ P=\$1,000\\ r=0.04\\n=12  

substitute in the formula above  

A=\$1,000(1+\frac{0.04}{12})^{12*3}=\$1,127.27  

6 0
3 years ago
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