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Alex Ar [27]
3 years ago
11

Can someone helpp with this

Mathematics
1 answer:
Trava [24]3 years ago
4 0

Answer:

the circumference is roughly 6.28

Step-by-step explanation:

the formula for circumference is C=2πr and radius is the diameter divided by 2 so there for the radius is 1.

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If you invest $4000 at 9% interest compounded annually, in how many years will you have $20,000. Give your answer the nearest te
Masteriza [31]

Answer:

18.7 years

Step-by-step explanation:

This is a compound interest problem and the following variables have been given;

Principal = 4000; this is the amount o be invested

APR = 9%; this is the compound interest to be earned

Accumulated amount = 20,000

We are required to determine the duration in years. We apply the compound interest formula;

A=P(1+r)^{n}

20000=4000(1+\frac{9}{100})^{n}\\20000=4000(1.09)^{n}\\5=(1.09)^{n}

The next step is to introduce natural logarithms in order to determine n;

ln5=nln(1.09)\\n=\frac{ln5}{ln(1.09)}\\n= 18.675

The number of years required is thus 18.7 years

6 0
3 years ago
If f (x) = StartRoot one-half x minus 10 EndRoot + 3, which inequality can be used to find the domain of f(x)?
just olya [345]

The inequality that represents the domain of the function is \frac 12x - 10 \ge 0

<h3>How to determine the domain?</h3>

The function is given as:

f(x) = \sqrt{\frac 12x - 10} + 3

Set the radicand greater than or equal to 0

\frac 12x - 10 \ge 0

Multiply through by 2

x - 20 ≥ 0

Add 20 to both sides

x ≥ 20  

Hence, the domain of the function is x ≥ 20  

Read more about domain at:

brainly.com/question/1770447

#SPJ1

7 0
2 years ago
Read 2 more answers
PLEASE HELP!!! Write the equation of a line that goes through the point (6, 3) and is perpendicular to the line y = 4x + 1.
Tpy6a [65]

For this case we have that by definition, the equation of a line in the point-slope form is given by:

y-y_ {0} = m (x-x_ {0})

Where:

m: It is the slope of the line and (x_ {0}, y_ {0})is a point through which the line passes.

We have the following equation of the slope-intersection form:

y = 4x + 1

Where the slope is m = 4

By definition, if two lines are perpendicular then the product of their slopes is -1.

Thus, a perpendicular line will have a slope:

m_ {2} = \frac {-1} {m_ {1}}\\m_ {2} = \frac {-1} {4}\\m_ {2} = - \frac {1} {4}

Thus, the equation will be of the form:

y-y_ {0} = - \frac {1} {4} (x-x_ {0})

Finally we substitute the given point and we have:

y-3 = - \frac {1} {4} (x-6)

Answer:

Option B

8 0
3 years ago
Amy class went the fair they saw 22 horses and 18 ponies they also saw 18 rabbits and 37 hares compare the the number of horses
Dima020 [189]
The answer is 15. 37 plus 18 equals to 55 and 22 plus 18 equals to 40. 55 minus 40 equals to 15.
8 0
3 years ago
A tennis ball travels at speed of 120 miles per hour.convert this rate to feet per second
Vanyuwa [196]
120\frac{mile}{hour}\\\\&#10;1 \ mile=5280\ feet\\&#10;1\ hour=3600\ seconds\\\\&#10;120\frac{mile}{hour}=120*\frac{5280}{3600}=\frac{120*5280}{3600}=\frac{633600}{3600}=176\frac{feet}{second}\\\\&#10;\boxed{120\frac{mile}{hour}=176\frac{feet}{second}}
4 0
3 years ago
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