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ikadub [295]
2 years ago
13

in 2003 the state pension was increased by 2% to £78.03. What was the state pension before this increase?

Mathematics
2 answers:
egoroff_w [7]2 years ago
7 0
Let the pension before increase be x.

When it was increased by 2%, that means became (100% + 2%) = 102% = 102/100 = 1.02

When the factor of 1.02 was applied it became £78.03

x*1.02 = 78.03

x = 78.03/1.02

x = 76.5

So the pension before the increase was £76.50 

Hope this helped.
Andrej [43]2 years ago
6 0
I dont know for Sure but i think it is
76.4694 (or Rounded 76.47)
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RoseWind [281]

Answer:

m\angle KLM=53.13^o

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the measure of angle KOM

In the triangle KOM

we have

KO=MO=r=5\ units

KM=8\ units

Applying the law of cosines

8^2=5^2+5^2-2(5)(5)cos(KOM)

64=50-50cos(KOM)

50cos(KOM)=50-64

50cos(KOM)=-14

cos(KOM)=-14/50

m\angle KOM=cos^{-1}(-14/50)

m\angle KOM=106.26^o

step 2

Find the measure of the arc KM

we know that

arc\ KM=m\angle KOM ----> by central angle

we have

m\angle KOM=106.26^o

so

arc\ KM=106.26^o

step 3

Find the measure of angle KLM

we know that

The inscribed angle is half that of the arc comprising  

m\angle KLM=\frac{1}{2}[arc\ KM]

we have

arc\ KM=106.26^o

substitute

m\angle KLM=\frac{1}{2}[106.26^o]

m\angle KLM=53.13^o

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3 years ago
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