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Roman55 [17]
3 years ago
12

Can someone help me solve this question please?

Mathematics
1 answer:
Snowcat [4.5K]3 years ago
7 0

To find the population after a year, you can multiply 4.5x10⁸ by 1.05, as it increases by 5% per year (1.05=1+5%). To find the population after five years, you have to multiply 4.5x10⁸ by 1.05 five times.

4.5x10⁸(1.05)⁵

=574326703.125

Since you can't have a decimal amount of people, you round this number to 574326703.

Therefore, the population after five years is going to be about 574326703.

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Please consider the attached diagram.

We have been given that angle DAB and angle DCB are right angles. We are also told that measure of angle DBC is 42 degrees. We are asked to find the measure of arc CAB.  

We can see that angle DBC is inscribed angle of arc DC, so measure of arc DC is two times the measure of angle DBC.

\widehat{DC}=42^{\circ}\times 2=84^{\circ}

We can also see that segment DB is diameter of given circle as inscribed angle of diameter is a right angle.

Since segment DB is diameter of given circle, so measure of arc DAB would be equal to half the measure of 360 degrees.

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*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

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