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3 years ago

Charlene is wrapping the box below. How much wrapping paper will she need? *

Mathematics

1 answer:

Anit [1.1K]3 years ago

5 0

Answer:

286 in³

Step-by-step explanation:

7×5 = 35

35×2 = 70in

9×5 = 45

45×2 = 90in

9×7 = 63

63×2 = 126in

70+90+126

=286in³

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An investment of 11,000 is made into an account that earns 4.25% annual compound interest for 30 months. Assuming no other depos

LenKa [72]

Answer:

It should be $12168.75

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 4.25%/100 = 0.0425 per year,

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I = 11000 × 0.0425 × 2.5 = 1168.75

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3 years ago

After transforming f(x) = 2x² +4x + 3 into vertex form, the vertex is easily identifiable. Which ordered pair is the vertex?

jolli1 [7]

The vertex is $(-1,1)$

Explanation:

The equation is $f(x)=2x^{2} +4x+3$

To find the vertex, we need the equation in the form of $f(x)=a (x-h)^{2}+k$

Dividing each term by 2 in the equation $f(x)=2x^{2} +4x+3$

$f(x)=2(x^{2} +2x+\frac{3}{2} )$

Now, completing the square by adding and subtracting 1, we get,

$f(x)=2(x^{2} +2x+1-1+\frac{3}{2} )$

The first three terms can be written as $(x+1)^{2}$ ,

$f(x)=2[(x+1)^{2}+\frac{1}{2} ]$

Multiplying 2 into the bracket, we get,

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This equation is of the form $f(x)=a (x-h)^{2}+k$

Now, we shall find the vertex $(h,k)$

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