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Tamiku [17]
3 years ago
6

What is the range of the following graph?

Mathematics
1 answer:
vlabodo [156]3 years ago
6 0
Range is the set of possible y values. If you look at the end behavior of the function, as x approaches both infinity and negative infinity, y continues to increase in magnitude, meaning that the range is from negative infinity to infinity. the correct answer is B.
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Alex invests his money in an account paying 2% interest compounded semiannually. What is the effective annual yield on this acco
Travka [436]

Answer: 2.01%.

Step-by-step explanation:

Suppose Alex invests $1 into the account for one year. The formula is A=P0⋅(1+rk)N⋅k with P0=$1. We know that r=0.02 and k=2 compounding periods per year. Now, N=1 year. Substituting the values we have A=$1⋅(1+0.022)2=$1.0201. Now, to calculate the effective annual yield, we will use the formula rEFF=A−P0P0. rEFF=1.0201−11=0.0201 or 2.01%. When rounded to two decimals, rEFF=2.01%. However, do not include the % in your answer.

3 0
3 years ago
Please answer both questions and show all work with explanations :) thank you soo much...
torisob [31]

Answer:

1) 109 cm

2) 120 in²

Step-by-step explanation:

A rectangle is a quadrilateral with opposite sides the same length and four (4) right angles. The diagonal, together with two adjacent sides, forms a right triangle. The relationship between side lengths and the diagonal length is given by the Pythagorean theorem. If sides are "a" and "b" and the diagonal is "c", that theorem tells you ...

... c² = a² + b²

1) c² = (60 cm)² + (91 cm)² = 11881 cm²

... c = √11881 cm = 109 cm

2) The perimeter is double the sum of adjacent side lengths, so ...

... 2(a+b) = 46 in

... a + b = 23 in . . . . . divide by 2

The Pythagorean theorem tells you

... a² + b² = (17 in)²

Squaring the equation from the perimeter relation gives ...

... (a + b)² = (23 in)² = a² + 2ab + b²

Subtracting a² + b², we have

... (a² +2ab +b²) - (a² + b²) = (23 in)² -(17 in)²

... 2ab = (529 -289) in² = 240 in² . . . . . simplify

... 240 in²/2 = ab = 120 in² . . . . . area is the product of length and width

_____

We could solve the two equations for a and b to find that there are two possible solutions: (a, b) = (8, 15) or (15, 8). Either way, ab = 8·15 = 120.

7 0
3 years ago
Alan’s go-kart travels 1760 feet per minute, and Barry’s go-kart travels 21 miles per hour. Whose go-kart travels faster?
Gwar [14]

Answer: Alan

Step-by-step explanation:

4 0
3 years ago
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What is 38942390785289037x348092387490287
velikii [3]

38942390785289037x34809238749028

4 0
3 years ago
1 19<br> 2 29<br><br> 59<br> 8 89<br><br> 99<br> What’s the expression
Dima020 [189]

Answer:

I don't know╰_╯

7 0
3 years ago
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