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AleksAgata [21]
3 years ago
5

The population of a town is growing uninhibited at a rate of 1% per year. How long would it take the population to double? Round

to the nearest tenth.
a. 30.1 years
b. 69.3 years
c. 54.6 years
d. 10.2 years
Mathematics
1 answer:
lianna [129]3 years ago
3 0
For this question the answer is d
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Simplify. Evaluate the numerical bases. 3^2 b^2 c^-4 *3^-1 b^-5 c^7
photoshop1234 [79]
Hope I can be of assistance!

3^2b^2c^{-4}\cdot \:3^{-1}b^{-5}c^7 \ \textgreater \  \mathrm{Apply\:exponent\:rule}:\ \:a^b\cdot \:a^c=a^{b+c}
3^{-1}\cdot \:3^2=\:3^{2-1}=\:3^1=\:3 \ \textgreater \  3b^{-5}b^2c^{-4}c^7

\mathrm{Apply\:exponent\:rule}: \:a^b\cdot \:a^c=a^{b+c} \ \textgreater \  b^{-5}b^2=\:b^{2-5}=\:b^{-3}
3b^{-3}c^{-4}c^7

\mathrm{Apply\:exponent\:rule}: \:a^b\cdot \:a^c=a^{b+c} \ \textgreater \  c^{-4}c^7=\:c^{-4+7}=\:c^3
3b^{-3}c^3

\mathrm{Apply\:exponent\:rule}: \:a^{-b}=\frac{1}{a^b} \ \textgreater \  b^{-3}=\frac{1}{b^3} \ \textgreater \  3\cdot \frac{1}{b^3}c^3

\mathrm{Multiply\:fractions}: \:a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c} \ \textgreater \  \frac{1\cdot \:3c^3}{b^3}

Finally
\mathrm{Apply\:rule}\:1\cdot \:a=a \ \textgreater \  \frac{3c^3}{b^3}

Hope this helps!
8 0
4 years ago
In circle T with m∠STU=78 and ST=8 , find the length of arc SU. Round to the nearest hundredth.
evablogger [386]

Answer:

10.89

Step-by-step explanation:

3 0
3 years ago
The radius of a circle is 4 feet. What is the length of a 90° arc? HELP ME PLEASE
Elza [17]

Answer:

6.3feet

Step-by-step explanation:

Given data

Radius= 4feet

The expression for the circumference of a circle is

C= 2πr

Substitute

C=2*3.142*4

C=25.136 feet

Also, a 90° arc is 1/4 of the circumference of a circle

Hence the length of the 90° arc is

=25.136/4

=6.284 feet

=6.3feet

4 0
3 years ago
SOMEONE HELP ME ASAP!
lord [1]

Answer:

(-3, 1)

The solution is the point at which both lines intersect.

This is the solution since both lines would have that point and only that ppoint in this type of problem. IN a graph where 2 lines are parralel, there is no solution as they never intersect . on a graph where the 2 lines overlap there is infinite solutions. FInally in a graph like this there is exactly one solution and it is the intersection of both lines

Step-by-step explanation:

6 0
3 years ago
PLEASE HELP ME!!!!!!!!!!
nikklg [1K]

Answer:

-7/10

Step-by-step explanation:

To find the slope of a line, you need to find the \frac{rise}{run} between two points. I will be using the points (-3, 5) and (7, -2).

\frac{rise}{run} = \frac{-2-5}{7-(-3)}

     = \frac{-7}{10}

     = -7/10

8 0
3 years ago
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