9514 1404 393
Answer:
P = 50,000
r = 0.08
i = 0.02
K = 4
n = 20
t = 5
Step-by-step explanation:
In this formula, r is the annual interest rate, 8% or 0.08. K is the number of times the interest is compounded in a year. Since interest is compounded quarterly, K = 4.
r = 0.08
i = r/K = 0.08/4
i = 0.02
t is the number of years interest is compounded, so ...
t = 5
n = Kt = 4·5
n = 20
P is the principal amount invested:
P = 50,000
Answer:
square
triangle
5
square pyramid
find area of base and area of a lateral face (base is 1 side squared, lateral face is base * height / 2. Multiply area of lateral face by 4 and add the product to the area of the base to find the Surface Area.
Step-by-step explanation:
We have two points, (3,0) and (0,-3). So we can find the slope of the line:
m=(y2-y1)/(x2-x1)
m=(-3-0)/(0-3)
m=-3/-3
m=1 so far for the line y=mx+b we have:
y=x+b, b is the y intercept which we were told is -3 so
y=x-3
The above is called the slope-intercept form of a line, y=mx+b, the standard form of a line is ax+by=c, so we need to get both variables on one side of the equation..
y=x-3 subtract x from both sides
-x+y=-3
While the above may be acceptable to some, technically the coefficient of x should be expressed as a positive value, so we should divide the above "solution" by -1 to get:
x-y=3
Answer:
Solution given
tan θ=opposite/adjacent=y/x is a required answer.
Answer:
C
Step-by-step explanation:
(2x + 3)^5 = C(5,0)2x^5*3^0 +
C(5,1)2x^4*3^1 + C(5,2)2x^3*3^2 + C(5,3)2x^2*3^3 + C(5,4)2x^1*3^4 + C(5,5)2x^0*3^5
Recall that
C(n,r) = n! / (n-r)! r!
C(5,0) = 1
C(5,1) = 5
C(5,2) = 10
C(5,3) = 10
C(5,4) = 5
C(5,5) = 1
= 1(2x^5)1 + 5(2x^4)3 + 10(2x^3)3^2 + 10(2x^2)3^3 + 5(2x^1)3^4 + 1(2x^0)3^5
= 2x^5 + 15(2x^4) + 90(2x^3) + 270(2x^2) + 405(2x) +243
= 32x^5 + 15(16x^4) + 90(8x^3) + 270(4x^2) + 810x + 243
= 32x^5 + 240x^4 + 720x^3 + 1080x^2 + 810x + 243
