Identify the domain, range, and codomain in each graph. Then use the codomain and range to determine whether the

1) Solve.

rusak2 [61]

Step-by-step explanation:

1. Given : P = $1200 , R = 5%, T = 7 years

Therefore, the simple interest is, $SI = \frac{PTR}{100}$

$=\frac{1200 \times 7 \times 5}{100}$

= $ 420

Therefore, total amount Manny will have is A = P + Si

= 1200 +420

= $ 1620

2. Given : P = $1200 , r = 5%, t = 7 years, n = 12 times (compounded)

So the amount is :

$A=P\left(1+\frac{r}{n}\right)^{nt}$

$A=1200\left(1+\frac{0.05}{12}\right)^{12\times 7}$

= 1692.17

So Manny would have approximately $ 1692 when compounded monthly.

3. Given :

The amount of stock = $ 100

rate of depreciation = 3%

Time = 20 years.

Therefore, using compound interest, we get

Future value = initial value x $(1-\text{rate})^{number of years}$

= $100 \times (1 - 3 \%)^{20}$

= 54.38

So after 20 years, the value would be $ 54.38

4. Given :

Initial amount, i = 40 gram

time, t = 40 days

half life of the isotope, h = 8 days

1/2 is used because of half life

Therefore, the final amount is given by :

$a=i \times \left(\frac{1}{2}\right)^{t/h}$

$a=40\times \left(\frac{1}{2}\right)^{40/8}$

= 1.25 gram

So after 40 days, 1.25 gram will be left.

5. Let p = pizza and d = drink

So according to the question,

2p + 4d = $ 15 ....(i)

4p + 7d = $ 30...(ii)

Equation equation (i) and (ii), we get

d = $0

and p = $ 7.5

6 0

3 years ago

Im gonna sleep after this but for now Help ^^

Margaret [11]

Answer:

Both prisms have the same volume.

Step-by-step explanation:

Volume of Naomi's Prism:

5 x 2 x 14 = 140 $cm^3$

Volume of Ben's Prism:

(5 x 4) / 2 x 14 = 10 x 14 = 140 $cm^3$

They therefore have the same volume.

7 0

2 years ago

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A company produces a women's bowling ball that is supposed to weigh exactly 14 pounds. Unfortunately, the company has a problem

Tomtit [17]

Answer:

95% confidence interval for the variance of the bowling ball weight is between a lower limit of 13.328 pounds and an upper limit of 14.672 pounds.

Step-by-step explanation:

Confidence interval is given as weight +/- margin of error (E)

weight = 14 pounds

sample sd = 0.94 pound

n = 10

degree of freedom = n - 1 = 10 - 1 = 9

confidence level (C) = 95% = 0.95

significance level = 1 - C = 1 - 0.95 = 0.05 = 5%

critical value (t) corresponding to 9 degrees of freedom and 5% significance level is 2.262

E = t × sample sd/√n = 2.262×0.94/√10 = 0.672 pounds

Lower limit of weight = weight - E = 14 - 0.672 = 13.328 pounds

Upper limit of weight = weight + E = 14 + 0.672 = 14.672 pounds.

95% confidence interval is (13.328, 14.672)

7 0

3 years ago

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The sum of two consecutive odd integers is 156. Which is an equation that can be used to solve for x?

satela [25.4K]

Answer:

Below.

Step-by-step explanation:

We can write an odd integer as 2x + 1 so consecutive odd digits would be 2x + 1 and 2x + 3, so the equation is:

2x + 1 + 2x + 3 = 156

4x + 4 = 156 can be used to solve for x and find the integers.

4x = 152

Dividing through by 4:

x = 152/4 = 38

So the 2 integers are 2(38) + 1 and 2(38) + 3

= 77 and 79.

7 0

4 years ago

What is the slope of a line that is parallel to the x-axis? 0 1 undefined

Troyanec [42]

Its 0 because the slope would be one if it was a positive line and itd go up and across one unitl and it is undefined if it is parallel to the y axis

3 0

3 years ago

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