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3 years ago

GIVING BRAINLIEST PLEASE HELP!!

Mathematics

2 answers:

VARVARA [1.3K]3 years ago

4 0

Answer:

Scale factor = 1 -----------> A = 3.14 or pi unit²

Scale factor = 2 -----------> A = 12.57 or 4pi unit²

Scale factor = 4 ------------> A = 50.27 or 16pi unit²

Scale factor = 5 ------------> A = 78.54 or 25pi unit²

Scale factor = 10 ------------> A = 314.2 or 100pi unit²

barxatty [35]3 years ago

3 0

Answer:

d. hope I get it right I never got brainliest

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Given that the initial quantity, Q= 6200

Decay rate, r = 5.5% per month

So, the value of quantity after 1 month, $q_1 = Q- r \times Q$

$q_1 = Q(1-r)\cdots(i)$

The value of quantity after 2 months, $q_2 = q_1- r \times q_1$

$q_2 = q_1(1-r)$

From equation (i)

$q_2=Q(1-r)(1-r) \\\\q_2=Q(1-r)^2\cdots(ii)$

The value of quantity after 3 months, $q_3 = q_2- r \times q_2$

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From equation (ii)

$q_3=Q(1-r)^2(1-r)$

$q_3=Q(1-r)^3$

Similarly, the value of quantity after n months,

$q_n= Q(1- r)^n$

As 4 years = 48 months, so puttion n=48 to get the value of quantity after 4 years, we have,

$q_{48}=Q(1-r)^{48}$

Putting Q=6200 and r=5.5%=0.055, we have

$q_{48}=6200(1-0.055)^{48} \\\\q_{48}=410.32$

Hence, the value of quantity after 4 years is 410.32.

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