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4 years ago

Classify the real number 9.63

Mathematics

1 answer:

leva [86]4 years ago

8 0

Answer:

9.63 is a real, rational number

Step-by-step explanation:

Numbers in the real system are (in descending classification)

real

rational or irrational

integer

whole

natural

We know it is a real number

It is a rational number, since the decimal terminates.

It is not an integer, since it has a decimal, so we can stop.

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Please I could really use some help on this (50 points, 5 stars and Brainliest)

jarptica [38.1K]

Answer:

(a) $A(n)=5500(1.01)^{4n}$

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Step-by-step explanation:

For an initial principal P deposited in an account at an annual interest r compounded for a number of period k, the amount in the account after n years is given by the model:

$A(n)=P(1+\dfrac{r}{k})^{nk}$

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P=$5,500

Annual Interest, r=4%=0.04

Since interest is compounded quarterly, Number of Periods, k=4

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$A(n)=5500(1+\dfrac{0.04}{4})^{4n}\\A(n)=5500(1+0.01)^{4n}\\$Simplified\\A(n)=5500(1.01)^{4n}$

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$10000=5500(1.01)^{4n}\\$Divide both sides by 5500\\(1.01)^{4n}=\dfrac{10000}{5500} \\$To solve for n, we change to logarithm form\\Log_{1.01}\dfrac{10000}{5500}=4n\\= \dfrac{ Log \dfrac{10000}{5500}}{Log 1.01}=4n\\4n=60.08\\n=60.08 \div 4\\n=15.02\\$Therefore, in 15.02 years, the account would be worth $10,000.$

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