Please help !!!!!!!!!

Mathematics

1 answer:

atroni [7]3 years ago

6 0

Answer:

Katherine invested $12,000

Step-by-step explanation:

Use formula

$I=P\cdot r\cdot t,$

where

I = interest,

P = principal,

r = rate (as decimal),

t = time (in years).

In your case,

t = 1 year,

r = 0.06 (or 6%)

P + I =$12,720, thus

$12,720-P=P\cdot 0.06\cdot 1\\ \\12,720-P=0.06P\\ \\12,720=P+0.06P\\ \\1.06P=12,720\\ \\P=\dfrac{12,720}{1.06}\\ \\P=\$12,000\\ \\I=\$12,720-\$12,000=\$720$

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Step-by-step explanation:

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6 0

3 years ago

our goal is to run a mean of 45 minutes per day for a week. For the first six days, you run 38, 40, 40, 42, 43, and 50 minutes.

oksano4ka [1.4K]

Answer:

62 minutes.

Step-by-step explanation:

To find the mean, you need to add together all of your values (the minutes) and divide them by the number of values (how many sets of minutes given).

So, choosing to add 62 minutes:

38 + 40 + 40 + 42 + 43 + 50 + 62 = 315

There are 7 sets of minutes in total, so we then divide 315 by 7.

315/7 = 45 minutes

Therefore, running 62 minutes on the seventh day would cause you to run a mean of 45 minutes per day for the week.

6 0

3 years ago

Answer correctly for brainliest and also get a thanks ! Don't answer if you don't know it please !

const2013 [10]

What I see here is a triangle sitting on top of a rectangle, and the
base of the triangle is equal to the length of the rectangle.
To see this, just draw a line between 'F' and 'S'. We can find the
area of the triangle, hen find the area of the rectangle, and then
add the two areas to get the area of the whole polygon.

The triangle:
. . . The base of the triangle is 9 units long.
. . . The height of the triangle is 6 units (from point 'N' down to the line FS).
. . . The area of a triangle is
   (1/2) · (base · height)

   = (1/2) · (9units · 6units)

   = (1/2) · (54 units²) = 27 units².

The rectangle:
. . . The length of the rectangle = 9 units. (line FS)
. . . The height of the rectangle = 2 units. (line WF or line CS)
. . . The area of a rectangle is

   (length) · (height)

   = (9units · 2units)

   = 18 units²

The whole polygon:
The area of the whole polygon is

   (area of the triangle) + (area of the rectangle)

   = (27 units²) + (18 units²) = 45 units²

7 0

3 years ago

If g is the inverse of the function f(x) = sqrt(x - 6) - 10 , which of the following is g?

iren2701 [21]

Answer: