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3 years ago

6

Last year there were 205 ducks living on the pond. This year there are 20 % more ducks living on the pond. Is this a percent inc

rease or decrease? *

2 answers:

earnstyle [38]3 years ago

8 0

Answer:

I think decrease

Step-by-step explanation:

20%/205= 0.000975

Mkey [24]3 years ago

4 0

Answer:

This is an increase.

Step-by-step explanation:

It says 20% *more* ducks which means the number is getting bigger.

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The quadratic function fhas a vertex at (3,4) and opens upward. The quadratic function g is shown below.

Alecsey [184]

Answer:

Option (C)

Step-by-step explanation:

Equation of the quadratic function having vertex at (3, 4) and opening upwards,

So the the minimum point of the function is (3, 4).

Therefore, minimum value of the function is 4 at x = 3.

y = (x - h)² + k [Here, (h, k) is the vertex]

g(x) = 2(x - 4)² + 3

Vertex of the parabola is (4, 3).

Since, leading coefficient is positive, parabola will open upwards.

Therefore, vertex will be the minimum point.

Minimum value of the function will be 3 at x = 4.

Minimum value of the function 'f' is greater than the minimum value of the function 'g'.

Option (C) will be the answer.

6 0

3 years ago

Which values are within the range of the piecewise-defined function?

musickatia [10]

Answer: y < 1

<u>Step-by-step explanation:</u>

$\begin{array}{c|c||l}\underline{x; x-3}&\underline{y=-x-2}&\\-3&-(-3)-2=1&\text{approaching but not including 1}\\-2&-(-2)-2=0&\\-1&-(-1)-2=-1&\end{array}$

The first function has the range of y < -4

The second function has the range of y = -3

The third function has the range of y < 1

The largest y-value is 1 and the smallest y-value is -∞, therefore the range (y-values) are from -∞ to 1 → y < 1

6 0

3 years ago

Read 2 more answers

2x+8y=34 <br><br> 10y+2x=40 solve for y and x

KiRa [710]

Answer:

Step-by-step explanation:

6 0

3 years ago

Two cards are drawn from a standard deck of cards without replacement. Find the probability of drawing a heart and a club in tha

Katyanochek1 [597]

Answer:

4/663

Step-by-step explanation:

Probability is the likelihood or chance that an event will occur.

Probability = Expected outcome/Total outcome

Since we are to draw from a pack of card, the total outcome will be 52

Since there are 4 hearts;

Pr(selecting heart) = 4/52 = 1/13

If a club is then selected without replacement, the total number of card remaining will be 51;

Pr(selecting a heart) = 4/51

probability of drawing a heart and a club in that order = 4/52 * 4/51

probability of drawing a heart and a club in that order = 16/2652

probability of drawing a heart and a club in that order = 4/663

8 0

3 years ago

find the difference between the simple interest and compound interest on 2500 for 2 years at 4% per annum , compound interest be

EastWind [94]

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Principal (P)= $2,500

Interest rate= 4%

Number of periods= 2 years

<u>First, we will determine the interest earned using the simple interest formula:</u>

I= P*r*t

I= 2,500*0.04*2

I=$200

<u>Now, using the compound interest formula:</u>

I= [P*(1 + r)^t] - P

r= 0.04/2= 0.02 (semi annual interest rate)

t=2*2= 4 semesters

I= [2,500*(1.02^4)] - 2,500

I= $206.08

6 0

2 years ago