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Luden [163]
3 years ago
10

The expression i/pt represents the rate of instrest being charged if a loan of p dollars for t years required i dollars in intre

st to be paid find the intrest rate if a $690 loan for 3 years to buy a used personal computer requiers $151.11 in intrest to be paid
Mathematics
1 answer:
zysi [14]3 years ago
8 0

Answer:

7.3%

Step-by-step explanation:

Given:

<em>Formula for Rate of interest </em>R:

R=\dfrac{i}{Pt}

Where i is the rate of interest.

P dollars is the loan and

t years is the time for which interest is to be paid

P =\$690\\t=3\ years\\i=\$151.11

To find:

R=?

Solution:

Putting the given values in the formula:

R=\dfrac{151.11}{690 \times 3}\\\Rightarrow R=\dfrac{151.11}{2070}\\\Rightarrow R=0.073

Multiply the above value with 100 to find the percentage.

i.e.

R=0.073\times 100 = \bold{7.3\%}

Therefore, the answer is <em>7.3%</em>

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Write the equation of the circle below to complete the square. Also determine the area of the circle.
diamong [38]

Answer: (x-7)^2+(y+2)^2=11^2 ; A=121\pi

Step-by-step explanation:

I have never done a problem like this, so this is my first time attempting it.

The standard form for the equation of a circle is:

(x-a)^2+(y-b)^2=r^2

Begin by grouping the 'x' terms and 'y' terms:

(x^2-14x)+(y^2+4y-68)=0

Complete the square for the second polynomial:

(\frac{b}{2} )^2=(\frac{4}{2} )^2=4

(x^2-14x)+(y^2+4y+4-4-68)=0

(x^2-14x)+(y^2+4y+4)-4-68=0

(x^2-14x)+(y^2+4y+4)-72=0

(x^2-14x)+(y+2)^2-72=0

Do the exact same process with the other polynomial:

(x^2-14x-72)+(y+2)^2=0

Complete the square:

(\frac{14}{2} )^2=49

(x^2-14x+49-49-72)+(y+2)^2=0

(x^2-14x+49)-49-72+(y+2)^2=0

(x^2-14x+49)-121+(y+2)^2=0

(x-7)^2-121+(y+2)^2=0

Bring the 121 to the other side to get:

(x-7)^2+(y+2)^2=121

(x-7)^2+(y+2)^2=11^2

The above expression is the equation of our circle in standard form. It is centered at the coordinates (7, -2) and has a radius of 11 units. The area of a circle if given by:

A=\pi r^2=121\pi

8 0
1 year ago
1. Find the unit rate for lessons at Sit and Stay School. Show your work. Write your answer in the space below.
timofeeve [1]

Answer: $8

Step-by-step explanation:

96/12=8/1

4 0
3 years ago
Read 2 more answers
Hi, Could anyone help me with my homework
tatiyna

Answer:

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solving steps:

\rightarrow \sf (x + 4)^6

\bold{rewrite \ the \ following}

\rightarrow \sf (x + 4)^2   (x + 4)^2   (x + 4)^2

\bold {formula \ used : \sf  (x+a)^2 = (x^2 + 2xa + a^2)}

\rightarrow \sf (x^2 + 8x+16)    (x^2 + 8x+16)    (x^2 + 8x+16)

\bold{simplify \ by  \ removing \ parenthesis}

\rightarrow \sf (x^4 +8x^3 + 16x^2 + 8x^3 +64x^2 + 128x+16x^2+128x+256 ) (x^2 + 8x+16)

\bold{basic \ addition \ of \ integers }

\rightarrow \sf (x^4+16x^3+96x^2+256x+256) (x^2 + 8x+16)

\bold{remove \ parenthesis}

\rightarrow \sf (x^6 + 16x^5 + 96x^4 + 256x^3 + 256x^2 + 8x^6 + 128x^4 + 768x^3 + 2048x^2 + 2048 + 16x^4 + 256x^3 + 1536x^2 + 4096x + 4096)

\bold {final \ answer:}

\rightarrow \sf  x^6+24x^5+240x^4+1280x^3+3840x^2+6144x+4096

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Which is an equivalent to to 752<br> O 1412<br> 021-10<br> 021-15
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The answer to this equation is 1412 or 21-15
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A 2-column table with 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, positive 1, positive 2. The
S_A_V [24]

The rate of change of the linear function represented by the table is 3

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more variables and numbers.

The standard linear equation is in the form:

y = mx + b

Where m is the rate of change and b is the y intercept.

From the table, using the point (0, -7) and (2, -1):

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