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Rom4ik [11]
3 years ago
8

Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage r

ate of increase or decrease. y=570(0.98)^x
Mathematics
1 answer:
oee [108]3 years ago
8 0

Answer:

  • decay
  • 2% decrease

Step-by-step explanation:

The growth factor is the base of the exponent: 0.98. Its relation to the rate of change is ...

  growth factor = 1 + rate of change

  0.98 = 1 + (-0.02)

So, the rate of change is -0.02 = -2%. Since the rate of change is a 2% decrease, it represents decay.

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AlladinOne [14]

Answer:

x=5

Step-by-step explanation:

3.2x+4=20

Subtract 4 from both sides

3.2x=16

divide by 3.2

x=5

4 0
3 years ago
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Solving the following problem -25 +37=
Lapatulllka [165]
The answer is 12 because it is a negative

5 0
2 years ago
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La dirección del Colegio Montes y los padres de familia están organizando un viaje cultural a Guanajuato para los alumnos de seg
notsponge [240]

Answer:

x + y = 47 (eqn 1)

x + 2y = 79 (eqn 2)

Solving the simultaneous equation,

The hotel has 15 single rooms and 32 double rooms.

Step-by-step explanation:

English Translation

The management of Colegio Montes and the parents are organizing a cultural trip to Guanajuato for second grade students and their teachers. Students will sleep in double rooms and teachers in singles. The hotel has double rooms (2 beds) and single rooms (1 bed), totaling 47 rooms and 79 beds. To confirm if they can be accommodated, they want to know how many rooms there are of each type. If "x" denotes single rooms and "y" denotes double rooms, Write the system of equations that represents the situation: Equation that represents the number of rooms (1) Equation that represents the number of beds (2)

Solution

The number of single rooms = x

The number of double rooms = y

The number of beds in single rooms = x

The number of beds in double rooms = 2y

Total number of rooms = 47

Total number of beds = 79

Sum of single and double rooms = Total number of rooms

x + y = 47 (eqn 1)

Sum of the beds in the single rooms and the beds in the double rooms = Total number of beds

x + 2y = 79 (eqn 2)

Writing the equations together

x + y = 47 (eqn 1)

x + 2y = 79 (eqn 2)

Solving the equations simultaneously,

x = 15, y = 32

Hence, the hotel has 15 single rooms and 32 double rooms.

Hope this Helps!!!

6 0
2 years ago
<img src="https://tex.z-dn.net/?f=5y%2B7%20%5Cleq%20-3%20or%203y%20-2%20%5Cgeq%2013" id="TexFormula1" title="5y+7 \leq -3 or 3y
liberstina [14]
5y + 7 < = -3
5y < = -3 - 7
5y < = -10
y < = -10/5
y < = -2

3y - 2 > = 13
3y > = 13 + 2
3y > = 15
y > = 15/3
y > = 5
7 0
3 years ago
DE is tangent to Circle C at point D. <br><br> What is the measure of Enter your answer in the box.
creativ13 [48]

Answer:

39°

Step-by-step explanation:

A radius of a circle (segment CD) drawn to the point of tangency (D) intersects the tangent (line DE) at a 90-deg angle.

That makes m<D = 90.

m<D + m<C + m<E = 180

90 + 51 + m<E = 180

m<E = 39

5 0
3 years ago
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