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vlabodo [156]
3 years ago
5

A city has a population of 240,000 people. Suppose that each year the population grows by 7.75%. What will the population be aft

er 7 years?
round your answer to the nearest whole number.
people
Mathematics
1 answer:
emmasim [6.3K]3 years ago
7 0

Answer:

\large\boxed{\sf \ \ \   404,699 \ \ \ }

Step-by-step explanation:

Hello,

At the beginning the population is 240,000

After 1 year the population will be

   240,000*(1+7.75%)=240,000*1.0775

After n years the population will be

   240,000\cdot1.0775^n

So after 7 years the population will be

   240,000\cdot1.0775^7=404699.058...

So rounded to the nearest whole number gives 404,699

Hope this helps

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During one month, a homeowner used 600 units of electricity and 100 units of gas for a total cost of $344. The next month, 400 u
leonid [27]

Answer: the cost per unit of gas is $0.38

Step-by-step explanation:

Let x represent the cost per unit of electricity.

Let y represent the cost per unit of gas.

During one month, a homeowner used 600 units of electricity and 100 units of gas for a total cost of $344. It means that

600x + 100y = 344- - - - - - - - - -1

The next month, 400 units of electricity and 250 units of gas were used for a total cost of $299.

It means that

400x + 250y = 299- - - - - - - - - -1

Multiplying equation 1 by 400 and equation 2 by 600, it becomes

240000x + 40000y = 137600

240000x + 150000y = 179400

Subtracting, it becomes

- 110000y = - 41800

y = - 41800/- 110000

y = 0.38

Substituting y = 0.38 into equation 1, it becomes

600x + 100 × 0.38 = 344

600x + 38 = 344

600x = 344 - 38 = 306

x = 306/600

x = 0.51

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3 years ago
3.6 terminating or repeating fraction
devlian [24]

Answer:

11/3

Step-by-step explanation:

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3 years ago
Sean is trying to save $192 to buy a new bike. He currently has $62 in the bank.
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3 years ago
Read 2 more answers
2. En la ciudad de Quito, en la temporada fría, se registran temperaturas que van desde los 5 °C hasta los 18 °C. En la temporad
natulia [17]

Answer:

(See explanation below for further detail/Véase la explicación abajo para mayores detalles)

Step-by-step explanation:

(This exercise is written in Spanish and explanations will be held in such language)

a) Las temperaturas quedan representadas a continuación:

Quito - Temporada Fría

Intervalo

5 ^{\circ}C \leq t \leq 18^{\circ}C (Este intervalo indica si el dato puede pertenecer a la temporada fría)

Conjunto

C = \{\forall t \in \mathbb {R}| 5 \leq t \leq 18\} (Este conjunto acumula todo el registro de las temperaturas de la temporada fría)

Quito - Temporada Cálida

Intervalo

4 ^{\circ}C \leq t \leq 30^{\circ}C (Este intervalo indica si el dato puede pertenecer a la temporada cálida)

Conjunto

H = \{\forall t \in \mathbb {R}| 4 \leq t \leq 30\} (Este conjunto acumula todo el registro de las temperaturas de la temporada cálida)

b) La temperatura de la ciudad de Quito pertenece esencialmente a dos intervalos:

Intervalo de Temporada Fría:

5 ^{\circ}C \leq t \leq 18^{\circ}C

Intervalo de Temporada Cálida:

4 ^{\circ}C \leq t \leq 30^{\circ}C

c) Toda temperatura mayor o igual que 4 °C y menor o igual que 30 °C.

d) Temperaturas mayores o iguales a 5 °C y menores o iguales a 18 °C.

e) Temperaturas mayores o iguales a 4 °C y menores o iguales a 30 °C.

6 0
3 years ago
Efren leaves home at 9am and walks 4 miles per hour. His brother, gregory leaves half an hour later and runs 8.5 miles per hour
Sholpan [36]

Answer:

Gregory will catch up Efren after 26 minutes 40 seconds.

Explanation:

 Distance traveled = Speed x Time

 Speed of Efren = 4 mi/h

 Speed of Gregory = 8.5 mi/h

 Let the time of catch up be t hours.

 Time of journey of Efren before catch up = (t+0.5)hours, since he starts before half hour.

 Distance traveled by Efren = 4 x (t+0.5) miles

 Time of journey of Gregory before catch up = t hours.

 Distance traveled by Gregory = 8.5 x t miles

If they catch up the distance traveled by them is same, so equating both distances.

4 x (t+0.5) = 8.5 x t

4.5t = 2

t = 0.44 hours =26.67 minutes = 26 minutes 40 seconds.

So Gregory will catch up Efren after 26 minutes 40 seconds.

5 0
3 years ago
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