Simple interest formula:
where
=interest,
=principal (how much you put in at first),
=rate as a decimal, and
=number of years.
Let's plug in what we're given.
Calculate it out...
The interest earned is $70.00.
I'm assuming no air friction here, first use conservation of energy to find velocity, so initially all the energy is from the spring, (1/2)kx^2, then it is converted to kinetic energy, (1/2)mv^2. so .5kx^2=.5mv^2. the .5s cancel, kx^2=mv^2. solve for v, v=sqrt(kx^2/m) plug in your values for the variables and find v. then use vf^2=vi^2+2ax in the u direction and solve for vf, vf=sqrt(vi^2+2ax). use that velocity in vf=vi+at and solve for t. vi=0 and a=g=9.81, so vf/a=t. plug in the values from the previous equation and the acceleration due to gravity to find the time it takes to hit the ground vertically. Now use v=x/t and solve for x. x=vt, plug in the velocity of the ball horizontally, which we found with the conservation of energy part, and y which we found with the previous equation, and you get your x, the distance it will take for the ball to hit the ground.
Answer:
h(2) = 1
Step-by-step explanation:
2^2 is 4. 5(2) is 10. now we have 4 - 10 + 7. -6 + 7 = 1.
Answer:
(b^4+a^2/2)^2
Step-by-step explanation:
Hi!
50) The answer is 104 cm
Steps:
-recognize that the shape is a triangle and a rectangle put together
-find the measurements of the triangle (8&6) and the rectangle (8&10)
-find the areas of the triangle (l x h divided by 2= a) and the rectangle (l x h+a)
-add the areas together (24& 80)
51) The answer is 800ft
Steps:
-split the irregular shape into a triangle and a rectangle
-find the area of both the triangle (200) and of the rectangle (600)
-add together (200+600= 800)
52) The answer is 156 cm
Steps:
-recognize that the shape can be split into 3 rectangles
-find the measurements for all three rectangles (12&5, 12&6, 3&8)
-Use the formula l x h= a for each rectangle
-add each one of the rectangles together (60, 72, &24)