Jessica records the number of winners at the Dunk-a-Teacher booth at the town fair as shown in the table. If there are 750 conte

Response:

= 270 ⇒ Previous solution

Detailed breakdown:

* Given f(x) = 7 + 4x

* Given g(x) =

* We aim to determine

- Initially, let’s calculate

∵ f(x) = 7 + 4x

∵ g(x) =

∴

- Let’s perform division of the numerator by the denominator

∵ The numerator is 7 + 4x

∵ The denominator is

∴ (7 + 4x) ÷

- Now we will change the division sign to a multiplication sign and take the reciprocal of

the fraction following the division sign

∴ (7 + 4x) ×

∴ = 2x(7 + 4x)

∴ = 14x + 8x²

- Next, substitute x with 5

∴ = 14(5) + 8(5)² = 70 + 200 = 270

∴ = 270

Response:

The result is $43623.50

Detailed explanation:

This query involves compound interest.

The formula for calculating compound interest is

A=P(1+r)^t

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

Provided information

P= $2,500

r= 10/100= 0.1

t= 30 years

Inserting values into the compound interest formula and calculating A gives us

A=2500(1+0.1)^30

A=2500(1.1)^30

A=2500*17.449

A=$43623.50

The total amount is $43623.50

The balance in her account comes from Jenna’s (A annuity payments)

Answer:

a. La ganancia total es de $ 4,060,000.00

b. 31 vehículos fabricados

Step-by-step explanation:

(a) Los datos suministrados son;

Cantidad de autos tipo sedán producidos = 24

Cantidad de SUV ensamblados = 16

Cantidad de vehículos tipo VAN producidos = 12

Cantidad de pick-ups fabricadas = 8

Cantidad de autos deportivos producidos = 2

Ganancia de los autos sedán vendidos = $ 185,000 - $ 140,000 = $ 40,000

Ganancia por las SUV vendidas = $ 320,000 - $ 250,000 = $ 70,000

Ganancia de los vehículos tipo VAN = $ 400,000 - $ 310,000 = $ 90,000

Ganancia de las pick-ups = $ 285,000 - $ 210,000 = $ 75,000

Ganancia de los autos deportivos vendidos = $ 550,000 - $ 400,000 = $ 150,000

La ganancia total se calcula de la siguiente manera: 24 * $ 40,000 + 16 * $ 70,000 + 12 * $ 90,000 + 8 * $ 75,000 + 2 * $ 150,000 = $ 4,060,000

(b) Debido a que hay una producción constante, solo se completará la mitad del total de automóviles en un lapso de 12 horas

Por lo tanto, se fabrican

12 sedanes, 8 SUV, 6 VAN, 4 pick-ups y 1 deportivo, alcanzando así un total de 31 vehículos.

Answer: Children who weigh 10 pounds require 12 teaspoons, those at 15 pounds need 18 teaspoons, and for 30 pounds, it is necessary to have 36 teaspoons.

Step-by-step explanation:

We have a recommended dose of 40 mg per 2.2 pounds of weight, given in three doses throughout the day every 8 hours.

Thus, for a single pound, the daily required dosage is calculated as .

Each individual dose corresponds to of the drug.

This means for one pound, the dosage needed per dose is 6.06 ml.

Thus, for 10 pounds, the calculation is 10 x 6.06 ml = 60.6 ml

To convert ml to teaspoons, knowing that 1 teaspoon equals 5 ml, we find: (60.6 ml ÷ 5) = 12.12 ≈ 12 teaspoons.

For a weight of 15 pounds, the drug requirement is 15 x 6.06 ml = 90.9 ml.

This translates to (90.9 ml ÷ 5) = 18.18 ≈ 18 teaspoons.

For the weight of 30 pounds, it is calculated as 30 x 6.06 ml = 181.8 ml.

Converting this gives us (181.8 ml ÷ 5) = 36.36 ≈ 36 teaspoons.

Therefore, children weighing 10 pounds need 12 teaspoons, those at 15 pounds require 18 teaspoons, and those at 30 pounds need 36 teaspoons.