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2 years ago

The radius of a circle is 3.9 in. Find the circumference to the nearest tenth.

Mathematics

1 answer:

topjm [15]2 years ago

3 0

Answer:

24.5

Step-by-step explanation:

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If Ben invests $4500 at 4% interest per year, how much additional money must he invest at 5 1/2% annual interest to ensure that

pogonyaev

$Step \; 1: \; Assing \; variable \; for \; the \; unknown \; that \; we \; need \; to \; find.\\Let \; x \; be \; additional \; money \; invested$

$Step \; 2: \; Use \; the \; appropriate \; formula \; of \; simple \; interest \; set \; up \; an \; equation\\Interest \; earned \; each \; year = \; Amount \; invested \times annual \; rate \; of \; interest\\\\Amount \; invested \; in \; 4 \% \; rate \; of \; interest=\$4500\\Amount \; invested \; in \; 5\frac{1}{2}\% \; rate \; of \; interest= \$x\\Amount \; invested \; totally \; in \; 4\frac{1}{2}\% \; rate \; of \; interest = \$(4500+x)$

$Interest \; earned \; in \; 4\% \; interest \; rate\\ = \; 4500(4\%)=180\\Interest \; earned \; in \; 5\frac{1}{2}\% \; interest \; rate\\ = x(5\frac{1}{2}\%)=0.055x\\Interest \; earned \; totally \; in \; 4\frac{1}{2}\% \; interest \; rate = (4500+x)(4\frac{1}{2}\%)\\=0.045(4500+x)$

$\\\\So, \; the \; equation \; would \; be:\\180+0.055x=0.045(4500+x)$

$Step \; 1: \; Distribute \; 0.045 \; in \; the \; right \; side\\180+0.055x=202.5+0.045x\\\\Step \; 2: \; Subtract \; 0.045x \; and \; 180 \; on \; both \; sides \; to \; get \; x \; alone\\0.055x-0.045x=202.5-180\\\\Step \; 3: \; Combine \; Like \; Terms\\0.01x=22.5\\\\Step \; 4: Divide \; 0.01 \; on \; both \; sides\\\frac{0.01x}{0.01}=\frac{22.5}{0.01}\\\\Step \; 5: \; Simplifying \; fraction \; on \; both \; sides\\x=2250$

$\underline{Conclusion:}\\Ben \; should \; invest \; additional \; money \; of \; \$2250$

5 0

3 years ago

Write two numbers that multiply to the value on top and add to the value on bottom

xenn [34]

Answer:

3 and 2

Step-by-step explanation:

3 x 2 = 6

3 + 2 = 5

3 0

3 years ago

What is the slope-intercept form of this equation 3x+9y=18

irina [24]

y = mx + b

m: slope

b: y-intercept

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

3x + 9y = 18

-3x -3x

9y = -3x + 18

/9 /9

y = -3/9x + 2 OR y = -1/3 + 2

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

m = -3/9 OR -1/3

b = 2

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

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6 0

2 years ago

Read 2 more answers

What is 1/4 plus 2/5?

IceJOKER [234]

1/4 + 2/5 = 5/20 + 8/20 = 13/20

3 0

2 years ago

Read 2 more answers

A tourist first walked 17 km with a speed of v km/h. Then he hiked 12km with a speed that was 2km/hour less than his original sp

katrin2010 [14]

The time it takes for an object/person to cover a certain distance is calculated by dividing the distance by the speed.

a. For the first question, the equation would become,

t = 17/v + 12/(v - 2)

b. To answer, this we simply have to substitute 5 to the v of the first equation,

t = 17/5 + 12/(5 - 2)

t = 7.4 hours

<em>Answer: 7.4 hours</em>

8 0

3 years ago

The radius of a circle is 3.9 in. Find the circumference to the nearest tenth.​

The radius of a circle is 3.9 in. Find the circumference to the nearest tenth.