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Ksivusya [100]
2 years ago
7

Here are the monthly charges for jo’s Mobile phone. Monthly charge £16,150 free minutes,then 13p per minute,150 free texts,then

15p per text during one month,jo makes 170 minutes of calls and sends 182 texts. Work out the total charge for the month.
Mathematics
1 answer:
xz_007 [3.2K]2 years ago
8 0

Jo's Mobile Plan:

  • Fixed monthly charge = £16
  • Monthly 150 free minutes, post that 13p (or £0.13) per minute,
  • Monthly 150 free texts, post that 15p (or £0.15) per text

Jo's mobile phone usage details:

  • 170 minutes of calls
  • 182 texts

Total Charges for Jo = Fixed Monthly Charge + Charges for Calls + Charges for Texts

⇒ Total Charges for Jo = 16 + (170-150) × 0.13 + (182-150) × 0.15

⇒ Total Charges for Jo = 16 + (20) × 0.13 + (32) × 0.15

⇒ Total Charges for Jo = 16 + 2.6 + 4.8

⇒ Total Charges for Jo = 23.4

Hence, Jo should be charged £23.4 for the month.



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solmaris [256]

799 represents the initial value of the painting

The painting will be worth $926 after 5 years to the nearest dollar

Step-by-step explanation:

The form of the exponential function is f(x)=a(b)^{x} , where

  • a is the initial value ⇒ (at x = 0)
  • b is the growth/decay factor ⇒ (rate of change)
  • If b > 1, then the function is growth ⇒ (increasing)
  • If 0 < b < 1, then the function is decay ⇒ (decreasing)

The value of a rare painting has increased each year since it was

found at a garage sale

The value of the painting is modeled by the function f(x)=799(1.03)^{x}

We need to know what 799 represents and what the painting will

be worth after 5 years

∵ f(x)=799(1.03)^{x}

∵ The form of the function is f(x)=a(b)^{x}

- By comparing the two forms

∴ a = 799 and b = 1.03

∵ a is the initial value at x = 0

∴ 799 represents the initial value of the painting

∵ x represents the number of years

∴ x = 5

- Substitute the value of x in the function by 5

∵ f(5)=799(1.03)^{5}

∴ f(x) = 926.26

∴ The painting will be worth $926 after 5 years to the nearest dollar

799 represents the initial value of the painting

The painting will be worth $926 after 5 years to the nearest dollar

Learn more:

You can learn more about the functions in brainly.com/question/10382470

#LearnwithBrainly

6 0
2 years ago
Kendra charges $11 to shovel a driveway. She shoveled 4 driveways on Saturday and then some more on Sunday. She made $143 for th
White raven [17]

Let number of driveways , she shoveled on Sunday = x

And for 4 driveways , Kendra charges = 4*11=44

Therefore,

143 = 44 + 11x

And that's the model for the given situation .

Subtracting 44 from both sides,

143-44 = 11x

99 = 11x

Dividing both sides by 11

x = 9

Therefore she shoveled 9 driveways on Sunday .

7 0
2 years ago
Read 2 more answers
A charity fair raised $6,000 by selling 500 lottery tickets. There were two types of lottery tickets: A tickets cost $10 each, a
julsineya [31]





x= A ticket 
y=b ticket
x+y=500
10x+60y=6000 
-------------------
   10x+60y=6000 
-  x+y=500 (*10) ---> 10x+10y=5000
-------------------
   10x+60y=6000
-  10x+10y=5000
-------------------
50y=1000
y=1000/50
y=20
b ticket =20

x+y=500
x+20=500
x=500-20
x=480
a ticket=480
 answer is the last option , 
6 0
2 years ago
Reyna has 5 coins worth 10 cents each and 4 coins
Zolol [24]

Answer:

The Probability found is:

P =  \frac{13}{18}

Step-by-step explanation:

Let x be the 10 cents coin.

Let y be the 25 cents coin.

We have to find all the possible outcomes

1) First coin = 10 cents, Second coin = 10 cents , so

(x,x) = 20

2) First coin = 10 cents, Second coin = 25 cents , so

(x,y) = 35

3) First coin = 25 cents, Second coin = 10 cents , so

(y,x) = 35

4) First coin = 25 cents, Second coin = 25 cents , so

(y,y) = 50

Find the probability of each outcome:

P(x,x) =  \frac{5}{9}\cdot\frac{4}{8}=\frac{20}{72}

P(x,y) =  \frac{5}{9}\cdot\frac{4}{8}=\frac{20}{72}

P(y,x) =  \frac{5}{9}\cdot\frac{4}{8}=\frac{20}{72}

P(y,y) = \frac{4}{9}\cdot\frac{3}{8}=\frac{12}{72}

Add all the probabilities where sum is at least 35 i.e P(x,y) , P(y,x) , P(y,y)

P(x,y) + P(y,x) + P(y,y) = \frac{20}{72}+\frac{20}{72}+\frac{12}{72} = \frac{52}{72}=\frac{13}{18}\\

6 0
2 years ago
Diane reed had office supply sales of $3,285 this month. this is a 78% of last months supply sales. what was the amount of last
Hoochie [10]

To solve this problem, we can set up an equation, letting the unknown value of last month's supply sales be represented by the variable x.

First, we must convert 78% to its decimal equivalent, by dividing 78/100. This is because percentages are parts of a whole 100 percent.

78/100 = 0.78

Now, we are ready to set up our equation, using our knowledge that the word "of" refers to multiplication in mathematics.

3,285 = 0.78x

To solve our equation, we must divide both sides of the equation by 0.78 to get the variable x alone on the right side of the equation.

x = 4211.53846154

This means that last month's supply sales were about $4,211.54 (we round the last digit up because 8 is greater than 5).

Hope this helps!


8 0
2 years ago
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