Two siblings, Matthew and Katie, are working hard to save money to go on a summer trip with their family. Both started with some money, and they both have jobs where they are paid by the hour. The following graph shows their projected savings:

Matthew's projected savings is modeled by:

m(t )= 12.50t + 350

Katie's projected savings is modeled by:

k(t) = 10t + 425

In both functions, t is the number of hours worked.

How much money will Katie have saved after working 20 hours?

options:

$450

$625

$575

$600

$625

Step-by-step explanation:

K(t)=10t+425

k(20)=10(20)+425

k(20)=200+425

k(20)=625

$625

Hope this helps!

$ 625

Step-by-step explanation:

K(t) = 10t + 425

K(20) = 10×20 + 425

K(20) = 200 + 425

K(20) = 625

I hope I've helped you.

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180