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3 years ago

The number 89 is decreased to 64. What is the percentage by which the number was decreased, to the nearest tenth of a percent?

Mathematics

1 answer:

Tasya [4]3 years ago

7 0

Answer: 28.9%

Step-by-step explanation:

Calculate percentage change

from V1 = 89 to V2 = 64

(V2−V1)|V1|×100

=(64−89)|89|×100

=−2589×100

=−0.280899×100

=−28.0899%change

=28.0899%decrease

or about 28.9%

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Answer:

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Step-by-step explanation:

Given: Foot length & shoe size in AP.

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From question,

$a_{12}-a_7=11-9.33=1.67$

Also, we know that

$a_{12}=a_7+5d\\5d=a_{12}-a_7\\5d=1.67\\d=\frac{1.67}{5}\\\\d=0.33$

Now, consider

$a_7=a_1+6d\\a_7=a+6d\\a=a_7-6d\\a=9.33-6\times0.33\\a=9.33-1.98\\a=7.35$

Thus using formula of $a_n$ we get,

$a_n=a+(n-1)d\\a_n=7.35+(n-1)\times0.33\\a_n=7.35+0.33n-0.33\\a_n=7.02+0.33n$

Therefore, The explicit formula for Arithmetic Sequence is $a_n=7.02+0.33n$

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