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anzhelika [568]

2 years ago

10

Eva bought a book that was on sale for 20% off the retail price. The retail price of the book was $12. What was the price Eva pa

id for the book?

1 answer:

sp2606 [1]2 years ago

7 0

Answer:

$2.4

Step-by-step explanation:

12×20/100

240/100

2.4

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Margaret [11]

9. Area of a triangle is proportional to height. If the height increases by a factor of 4, then ...
The area will increase by a factor of 4. . . . . (2nd selection)

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3 years ago

Help me asap! I will give you marks

Law Incorporation [45]

Recall the binomial theorem.

$(a+b)^n = \displaystyle \sum_{k=0}^n \binom nk a^{n-k} b^k$

1. The binomial expansion of $\left(1+\frac x3\right)^7$ is

$\left(1 + \dfrac x3\right)^7 = \displaystyle\sum_{k=0}^7 \binom 7k 1^{7-k} \left(\frac x3\right)^k = \sum_{k=0}^7 \binom 7k \frac{x^k}{3^k}$

Observe that

$k = 1 \implies \dbinom 71 \left(\dfrac x3\right)^1 = \dfrac73 x$

$k = 2 \implies \dbinom 72 \left(\dfrac x3\right)^2 = \dfrac73 x^2$

When we multiply these by $8-9x$ ,

• $8$ and $\frac73 x^2$ combine to make $\frac{56}3 x^2$

• $-9x$ and $\frac73 x$ combine to make $-\frac{63}3 x^2 = -21x^2$

and the sum of these terms is

$\dfrac{56}3 x^2 - 21x^2 = \boxed{-\dfrac73 x^2}$

2. The binomial expansion is

$\left(2a - \dfrac b2\right)^8 = \displaystyle \sum_{k=0}^8 \binom 8k (2a)^{8-k} \left(-\frac b2\right)^k = \sum_{k=0}^8 \binom 8k 2^{8-2k} a^{8-k} b^k$

We get the $a^6b^2$ term when $k=2$ :

$k=2 \implies \dbinom 82 2^{8-2\cdot2} a^{8-2} b^2 = 28 \cdot2^4 a^6 b^2 = \boxed{448} \, a^6b^2$

6 0

1 year ago

To get the paint colour you want you mix 2 parts red with 3 parts cream and 1 part blueHow much cream and blue will you need to

oksian1 [2.3K]

Red : Cream : Blue
2 : 3 : 1
2x2 : 3x2 : 1x2
4 : 6 : 2

You need 6 parts of Cream and 2 parts of Blue

7 0

3 years ago

Laura invests $2500 in one account and $1500 in an account paying 2 % higher interest. At the end of one year she had earned $11

Crank

Answer:

$2500 - 2%

$1500 - 4%

Step-by-step explanation:

Say the interest for the $2500 is x, so the interest for the $1500 is x+0.02.

As an equation, they would look like this:

2500x+1500(x+0.02)=110

Now solve

2500+1500x+30=110

4000x=80

x=0.02

That means the interest for the $2500 is 0.02, or 2%, and the interest for the $1500 is 0.04, or 4%.

6 0

3 years ago

Tony is driving from alma ,Michigan to Elizabeth city, North Carolina . The drive covers a total distance of 1,100 miles. Tony c

Natalka [10]

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4 0

3 years ago