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3 years ago

$925 at 2% interest for 2.4 years. Find the simple interest earned.

Mathematics

1 answer:

mixer [17]3 years ago

5 0

Answer:

£43

Step-by-step explanation:

925×2/100

=£ 18.5

2.4 years =18.5×2.4

=£43

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Find the x-intercepts of the parabola with vertex (-5,80) and y-intercept (0,-45). Write your answer in this form (x of 1 , y of

Ivan

A parabola is a quadratic function, and a quadratic can be expressed in vertex form, which is:

y=a(x-h)^2+k, where (h,k) is the vertex (absolute maximum or minimum point of the quadratic)

In this case we are given that (h,k) is (-5,80) so we have so far:

y=a(x--5)^2+80

y=a(x+5)^2+80, we are also told that it passes through the point (0,-45) so:

-45=a(0+5)^2+80

-45=25a+80 subtract 80 from both sides

-125=25a divide both sides by 25

-5=a, so now we know the complete vertex form is:

y=-5(x+5)^2+80

The x-intercepts occur when y=0 so:

0=-5(x+5)^2+80 add 5(x+5)^2 to both sides

5(x+5)^2=80 divide both sides by 5

(x+5)^2=16 take the square root of both sides

x+5=±√16 which is

x+5=±4 subtract 5 from both sides

x=-5±4 so the x-intercepts are:

x=-1 and -9

7 0

3 years ago

Biologists have found that the number of chirps some types of cricket make per minute depends upon the temperature this relation

Alex Ar [27]

Answer: Crickets make 172 chirps/min at 80 degrees Fahrenheit

Step-by-step explanation:

Step 1

Using the point slope formulae for Linear functions , we have that

y - y1 = m(x - x1)

where x and y are two points representing the temperature and chirps /min respectively

And

m= slope

Step 2 : Finding the slope , m

where x1=60

y1=92

x2= 75

y2=152

m= (y2-y1)/ (x2-x1)

= (152- 92)/(75-60)

=60/15 =4

Bringing down the point/slope formula and imputing the known values to find our equation to show the relationship cricket make per minute and the temperature

y - y1 = m(x - x1)

y - 92= 4(x - 60)

y - 92 = 4x -240

y = 4x - 240 + 92

y = 4x - 148

Step 3

To find the number of chirps be per minute (y) if the temperature is 80 degrees Fahrenheit( x)

y = 4(80) - 160

y = 320 - 148

y = 172 chirps/min at 80 degrees Fahrenheit

6 0

3 years ago

Choose the correct product of (6x − 2)(6x + 2). (1 point)

Vanyuwa [196]

You did not give any choices but this can easily be solved using the FOIL method.

FOIL stands for First, Outside, Inside, Last.

In your equation you have (6x-2)(6x+2)
You will multiply the terms that correspond to each letter

First: Means first terms of each set. In this case 6x and 6x
6x x 6x = $36x^{2}$ Now you have your first term in the sequence.

Outside: Means terms found in the outside areas of the whole equation, in this case it is 6x and 2
6x x 2 = 12x Now this is the second term

Inside: Means terms found in the inside areas of the whole equation, in this case it is -2 and 6x
-2 x 6x = -12x Now this is your third term

Last: Means the last terms of each set. In this case it is -2 and 2
-2 x 2 = -4 This is your last term

Now you have what you need for your new equation:

$36x^{2} + 12x -12x - 4$

Because your second and third terms are like terms, you can combine them by doing the operation indicated. 12x-12x = 0 so now you can cancel it out from your equation and your left with:

$36 x^{2} - 4$ This is your product

6 0

3 years ago

Alina has just recieved 3 video games for her birthday to add to her existing 12 video games. A week later she went to the thrif

Papessa [141]

Let the existing no. of video games she had be x,
then
(3+x)+2x+5

3 0

3 years ago

What is 12 divided by 1/6

TEA [102]

The answer would be, 72.

5 0

3 years ago