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3 years ago

Help!!! Asap!!! 100 POINTS!!Which relation is a function?

Mathematics

2 answers:

Genrish500 [490]3 years ago

3 0

Answer:

Option Bottom-Right

Step-by-step explanation:

Step 1: Identify the function

In order to be a function, it must pass the vertical line test. This means that there is one y-value per x-value.

Option Top-Left -> Doesn't work because there are two y-values at the x-value 0.

Option Top-Right -> Doesn't work because there are two y-values at the x-values -2 and 2.

Option Bottom-Left -> Doesn't work because there are two y-values at the x-values -1.

Option Bottom-Right -> Works because for every y-value, there is only one x-value.

Answer: Option Bottom-Right

Jobisdone [24]3 years ago

3 0

Answer: Bottom Right

Step-by-step explanation:

in a function, every x value only has one y value

in the top left, the x value 0 has two y values

in the top right, the x values -2 and 2 both have two y values

in top bottom left, the x value -1 has two y values

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If 10000 is invested at an interest rate of 10 per year ,compound semiannually,find the value of the investment after the given

slega [8]

Answer:

Part a) $\$17,958.56$

Part b) $\$32,251.00$

Part c) $\$57,918.16$

Step-by-step explanation:

The complete question is

If $10,000 is invested at an interest rate of 10% per year, compounded semiannually, find the value of the investment after the given number of years. (Round your answers to the nearest cent.)

a)6 years

b)12 years

c)18 years

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

Part a) 6 years

we have

$t=6\ years\\ P=\$10,000\\ r=10\%=10/100=0.10\\n=2$

substitute in the formula above

$A=10,000(1+\frac{0.10}{2})^{2*6}$

$A=10,000(1.05)^{12}$

$A=\$17,958.56$

Part b) 12 years

we have

$t=12\ years\\ P=\$10,000\\ r=10\%=10/100=0.10\\n=2$

substitute in the formula above

$A=10,000(1+\frac{0.10}{2})^{2*12}$

$A=10,000(1.05)^{24}$

$A=\$32,251.00$

Part c) 18 years

we have

$t=18\ years\\ P=\$10,000\\ r=10\%=10/100=0.10\\n=2$

substitute in the formula above

$A=10,000(1+\frac{0.10}{2})^{2*18}$

$A=10,000(1.05)^{36}$

$A=\$57,918.16$

7 0

4 years ago

Suppose the man in the St. Ives poem has x wives, each wife has x sacks, each sack has x cats, and each cat has x kits. Write an

marishachu [46]

Answer: $x+x^2+x^3+x^4$

Step-by-step explanation:

As per given,

Number of wives = $x$

Number of sacks = $x (\text{Number of wives} )= x\times x = x^2$

Number of cats = $x(\text{Number of sack})$ $= x \times x^2=x^3$

Number of kits = $x(\text{Number of cats} )=x\times x^3=x^4$

Now , the total number of kits, cats, sacks, and wives going to St. Ives = $x+x^2+x^3+x^4$

Hence, the required ex[pression: $x+x^2+x^3+x^4$

5 0

3 years ago

What is the quotient of 492÷6

Artist 52 [7]

82.

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3 0

4 years ago

Jose and Jayden go to the movie theater and purchase refreshments for their friends. Jose spends a total of $43.25 on 5 bags of

Effectus [21]

Answer: The equations are as follows;

5p + 4d = 43.25 ————(1) and

3p + 2d = 24.25 ————(2)

Also a bag of popcorn costs $5.25

Step-by-step explanation: We start by assigning letters to the unknown variables. Let a bag of popcorn be p and let one drink be d. The clues given in the question include the cost of buying five bags of popcorn and four drinks which is a total of $43.25. This can be expressed as

5p + 4d = 43.25 ————(1)

Another clue is that three bags of popcorn and two drinks cost $24.25. This also can be expressed as

3p + 2d = 24.25 ————(2)

Now we have a pair of simultaneous equations as follows

5p + 4d = 43.25 ————(1)

3p + 2d = 24.25 ————(2)

We shall use the elimination method since all the unknowns have coefficients greater than 1. Multiply equation one by 3, and multiply equation two by 5 (so as to eliminate ‘p’)

5p + 4d = 43.25 ——— x3

3p + 2d = 24.25 ——— x5

15p + 12d = 129.75 ———(3)

15p + 10d = 121.25 ———(4)

Subtract equation (4) from equation (3) and we have

2d = 8.5

Divide both sides of the equation by 2

d = 4.25.

That means each drink costs $4.25

We can now substitute for the value of d into equation (2)

3p + 2d = 24.25

When d = 4.25

3p + 2(4.25) = 24.25

3p + 8.5 = 24.25

Subtract 8.5 from both sides of the equation

3p = 15.75

Divide both sides of the equation by 3

p = 5.25. This means a bag of popcorn costs $5.25

7 0

4 years ago

Find the slope of the line (4,2) and has an x-intercept of 7

Sergio [31]

If the x-intercept is 7, then the coordinate is 7 along the x-axis and 0 up the y-axis, so the coordinate is (7,0). We now have the two points (4,2) and (7,0).
You can find out the slope of any line using the general equation:
$\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$
(0-2)/(7-4) = -2/3
The slope of the line is -2/3x.

8 0

4 years ago

Help!!! Asap!!! 100 POINTS!!Which relation is a function?​

Help!!! Asap!!! 100 POINTS!!Which relation is a function?