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Elan Coil [88]
3 years ago
10

A friend asks to borrow $250 for 18 months and pays 12% annual simple interest how much interest will you earn

Mathematics
1 answer:
Rzqust [24]3 years ago
7 0

Answer: $45

Step-by-step explanation:

Simple interest is calculated as Principal x Rate x Time/100

From the information given,

Principal = $250

Rate = 12% = 12/100 = 0.12

Time = 18 months; because time is given in months, we divide by 12; time is therefore stated as 18/12.

Step 2: Plug the values into the formula:

Simple interest = 250 x 0.12 x 18/12

= $45

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3. Solve for x.<br> (x-2)(x+ 8) = 0
docker41 [41]

Answer:

x = 2, x = -8

Step-by-step explanation:

Since the equation equals 0, you know either (x-2) or (x+8) has to equal 0.

This means x = 2, and x = -8

Hope this helps!

8 0
3 years ago
Find the midpoint of the line segment with the given endpoints. 1) (-4, -9), (-6, -6)
weeeeeb [17]

Answer:

The answer is

<h2>( - 5 \: , \:  -  \frac{15}{2} )</h2>

Step-by-step explanation:

The midpoint M of two endpoints of a given line segment can be found by using the formula

<h3>M = ( \frac{x1 + x2}{2}  , \frac{y1 + y2}{2} )</h3>

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-4, -9), (-6, -6)

The midpoint is

<h3>M = ( \frac{ - 4 - 6}{2}  , \:  \frac{ - 9 - 6}{2} ) \\  = ( -  \frac{10}{2} , -  \frac{15}{2} )</h3>

We have the final answer as

<h3>( - 5 \: , \:  -  \frac{15}{2} )</h3>

Hope this helps you

8 0
3 years ago
The power generated by an electrical circuit (in watts) as a function of its current ccc (in amperes) is modeled by: P(c)=-12c^2
g100num [7]

Answer:

5 amperes will produce the maximum power of 300 watts.

Step-by-step explanation:

The general form of a quadratic function presents the function in the form

f(x)=ax^2+bx+c

The vertex of a quadratic function is the highest or lowest point, also known as the maximum or minimum of a quadratic function.

We can define the vertex by doing the following:

  • Identify a, b, and c
  • Find, the x-coordinate of the vertex, by substituting a and b into

x-coordinate =-\frac{b}{2a}

  • Find, the y-coordinate of the vertex, by evaluating

y-coordinate =f(x-coordinate )=f(-\frac{b}{2a} )

We know that the power generated by an electrical circuit is modeled by

P(c)=-12c^{2}+120c

This function is a quadratic function.

To find the current that produce the maximum power you must

  • Identify a and b

a = -12 and b = 120

  • Find, the maximum current of the vertex, by substituting a and b into

maximum-current =-\frac{b}{2a}

maximum-current =-\frac{120}{2(-12)}\\\\maximum-current = 5

  • Find, the maximum-power, by evaluating

maximum-power =P(maximum-current)=P(-\frac{b}{2a} )

P(5)=-12(5)^{2}+120(5)=300

5 amperes will produce the maximum power of 300 watts.

We can check our work with the graph of the function P(c)=-12c^{2}+120c and see that the maximum is (5, 300).

5 0
4 years ago
A filmmaker makes an edited version of his movie that is 120 minutes long. The unedited footage is 7 times long as long as the e
labwork [276]
I am pretty sure its 120×7=x
x being the the unedited lenght
8 0
3 years ago
How many miles from springfield, mo., to dallas, tx?
jeka94

417.5 Miles distance

Driving Time: 6 hrs 49 mins

Flight time: 1 hrs 30 mins

Walk time: 142 hrs (Average speed)

Bike time: 39 hrs (Average speed)

Hope this helps!




6 0
3 years ago
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