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tester [92]
3 years ago
15

Fitness Classes cost £6 per person. The table shows the number of people who go to the classes on Thursday, Friday and Saturday.

Mathematics
1 answer:
Pachacha [2.7K]3 years ago
7 0

Answer:

£216

Step-by-step explanation:

  • Cost = £6 per person
  • Teacher earns = 90% of total

<u>Total number of people:</u>

  • 13 + 11 + 16 = £40

<u>Total paymen</u>t:

  • 40*6= £240

<u>Teacher earns in total per given week:</u>

  • 240*90/100 = £216

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The function g(x) = 12,500(0.91)x represents the value of a piece of farm equipment after x years. Approximately when will its v
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Answer:

B. 7.3 years

Step-by-step explanation:

The question is wrong. The correct function is :

g(x)=12500(0.91)^{x}

We have the function g(x) that represents the value of a piece of farm equipment after x years.

This means that when x=0 its original value is :

g(0)=12500(0.91)^{0}=12500

Now we want to calculate approximately when will its value be half its original value. Then, we write :

\frac{12500}{2}=6250

6250 is half of its original value. We need to find x that satisfies the following equation :

g(x)=6250=12500(0.91)^{x}

Solving for x :

6250=12500(0.91)^{x} ⇒

0.5=(0.91)^{x}

Now we apply natural logarithm to each side of the equation :

ln(0.5)=ln[(0.91)^{x}]

Using logarithm properties :

ln(0.5)=ln[(0.91)^{x}] ⇒

ln(0.5)=x[ln(0.91)]

x=\frac{ln(0.5)}{ln(0.91)} ⇒

x ≅ 7.3496

The correct option is B. 7.3 years

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Answer:

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10c: △BDE is An Isosceles triangle with one obtuse angle.

Step-by-step explanation:

10) Looking at the diagram at the bottom left;

- △ABC has 3 equal internal angles and as such, it means it will have 3 equal angles.

Thus, we can classify it as; Equilateral triangle with all acute angles.

- △BCD has 3 unequal angles. Thus, it's 3 sides are not equal. Also all the angles are less than 90°.

We can classify it as;

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