What is the acceleration of a truck if the force on the truck is 325 N and the mass is 1,300 kg

Pose two problems of everyday life where addition, subtraction, multiplication and division of integers are used

qaws [65]

Answer:

taxes and at work

Step-by-step explanation:

you deal with money at work and you have to calculate numbers doing taxes.

8 0

2 years ago

Cooper is opening an online savings account to hold his $20,000 emergency fund. The online account pays 1.5% interest compounded

NeX [460]

Answer:

After 25 years, Cooper will have $29,093.01 in his savings account.

Step-by-step explanation:

While Cooper opened an emergency savings account of $ 20,000, which yields an annual interest of 1.5% compounded monthly, to determine how much money he will have in his account after 25 years, the following calculation must be performed:

X = 20,000 (1 + 0.015 / 12) 25x12

X = 29,093.01

Therefore, after the passage of 25 years, Cooper will have $ 29,093.01 in his savings account.

8 0

2 years ago

Use cross products to find the area of the triangle in the xy-plane defined by (1, 2), (3, 4), and (−7, 7).

Free_Kalibri [48]

I love these. It's often called the Shoelace Formula. It actually works for the area of any 2D polygon.

We can derive it by first imagining our triangle in the first quadrant, one vertex at the origin, one at (a,b), one at (c,d), with (0,0),(a,b),(c,d) in counterclockwise order.

Our triangle is inscribed in the $a \times d$ rectangle. There are three right triangles in that rectangle that aren't part of our triangle. When we subtract the area of the right triangles from the area of the rectangle we're left with the area S of our triangle.

$S = ad - \frac 1 2 ab - \frac 1 2 cd - \frac 1 2 (a-c)(d-b) = \frac 1 2(2 ad - ab -cd - ad +ab +cd -bc) = \frac 1 2(ad -bc)$

That's the cross product in the purest form. When we're away from the origin, a arbitrary triangle with vertices $A(x_1, y_1), B(x_2, y_2), C(x_3, y_3)$ will have the same area as one whose vertex C is translated to the origin.