F(x) = V2x g(x) = V50x Find (f .g)(x). Assume x2 0.

The same bedroom furniture set costs $1,500 in both Florida and Alabama. The table gives a breakdown of the taxes someone would

vitfil [10]

Answer:

A: True

B, C and D: False

Step-by-step explanation:

We have a total sales tax for Alabama that is:

$T_A=4.225+1.375+3=8.6$

The total sales tax for Florida is:

$T_F=6.5+1+1.625=9.125$

The total sales tax is greater in Florida than in Alabama.

A. The furniture set is cheaper in Alabama, because the amount of sales tax will be lower by about $8. TRUE

The sales tax difference in this purchase can be calculated as:

$1500(T_F-T_A)=1500\left(\dfrac{9.125-8.6}{100}\right)=1500\cdot 0.00525=7.875\approx 8$

B. The furniture set is cheaper in Florida, because the amount of sales tax will be lower by about $10. FALSE (it is cheaper in Alabama)

C. The furniture set is cheaper in Alabama, because the amount of sales tax will be lower by $10. FALSE (the sale tax in Alabama is $129)

The amount of sales tax in Alabama is:

$ST_A=1500\cdot T_A=1500\cdot 0.086=129$

D. The furniture set costs the same in either state, because the amount of sales tax will be the same for the two locations. FALSE (it is not the same in both states).

7 0

3 years ago

Selmas class making a care package to give to victims of a natural disaster.Selma packs one box in 5 minutes and has already pac

bixtya [17]

Each of them need to work 105 minutes more in order to have packed the same number of boxes.

Explanation

Suppose, they need to work for $x$ minutes more in order to have packed the same number of boxes.

Selma packs one box in 5 minutes and Trudy packs one box in 7 minutes.

So, the number of boxes packed by Selma in that $x$ minutes $=\frac{x}{5}$ and the number of boxes packed by Trudy in $x$ minutes $=\frac{x}{7}$

Given that, Selma and Trudy have already packed 12 and 18 boxes.

Now if each of them packed the same number of boxes, then the equation will be......

$12+\frac{x}{5}=18+\frac{x}{7}\\ \\ \frac{x}{5}-\frac{x}{7}= 18-12\\ \\ \frac{7x-5x}{35}=6\\ \\ \frac{2x}{35}=6\\ \\ 2x= 210\\ \\ x= \frac{210}{2}=105$

So, each of them need to work 105 minutes more in order to have packed the same number of boxes.

6 0

3 years ago

Araceli uses 6.1 pints of blue paint and white paint to paint her bedroom walls. 3/5 of this amount is blue paint, and the rest

kramer

Answer:

2.44 pints of white

Step-by-step explanation:

blue=3/5

white=2/5

6.1*0.4=2.44

3 0

2 years ago

Agnes Hammer is a senior majoring in management science. She has been interviewing with several companies for a job when she gra

stiks02 [169]

Answer:

Mean = 30516.67

Standard deviation, s = 3996.55

P(x < 27000) = 0.0011518

Step-by-step explanation:

Given the data:

28500 35500 32600 36000 34000 25700 27500 29000 24600 31500 34500 26800

Mean, xbar = Σx / n = 366200 /12 = 30516.67

Standard deviation, s = [√Σ(x - xbar) / n-1]

Using calculator, s = 3996.55

The ZSCORE = (x - mean) / s/√n

Zscore = (27000 - 30516.67) / (3996.55/√12)

Zscore = - 3516.67 / 1153.7046

Zscore = - 3.048

P(x < 27000) = P(Z < - 3.049) = 0.0011518

3 0

3 years ago

Solve for z, wz-4/ 5z

saw5 [17]

$x=\dfrac{wz-4}{5z}\\\\5xz=wz-4\\\\5xz-wz=-4\\\\z(5x-w)=-4\\\\z=-\dfrac{4}{5x-w}$

7 0

3 years ago