Answer:
8,229,437 cents
Step-by-step explanation:
Using the compound interest formula;
A = P(1+r)^n
Given
Principal invested = $37700
rate r = 5% = 0.05
Time t = 16years
Substitute into the formula
A = 37700(1+0.05)^16
A = 37700(1.05)^16
A = 37700(2.1829)
A = 82,294.37
Hence the amount of money, to the nearest cent, in the account after 16 years is 8,229,437 cents
Answer:
the y coordinate is 5
Step-by-step explanation:
In the figure attached, the directed line segment is shown.
J is located at (-3, 1) and K is located at (-8, 11)
run: x2 -x1 = -8 - (-3) = -5
rise: y2 - y1 = 11 - 1 = 10
Taking J as reference, the coordinate of the point that divides the directed line segment from J to k into a ratio of 2:3 is:
c = 2/(2+3) = 0.4
(x1 + c*run, y1 + c*rise)
(-3 + 0.4*-5, 1+0.4*10)
(-5, 5)
Answer:
4z + 5
Step-by-step explanation:
16 and 20 are both dividable by 4, so you divide them both by four and then you have your answer
Answer:
See below
Step-by-step explanation:
Y component of velocity is 70 sin 30°
y position = 3 + 70 sin 30° * t - 1/2 a t^2
when the ball hits the ground y = 0
0 = 3 + 70 sin 30° t - 1/2 (32.2)t^2
- 16.1 t^2 + 35t + 3 = 0
Use Quadratic Formula to find t = <u>2.26 seconds</u>
Horizontal component of initial velocity
70 cos 30° distance horizontal = 70 cos 30° * t
= 70 cos 30° (2.26) =<u> 137.0 ft</u>