Herky and Elaina want to compare their investment accounts to see how much they will have in the accounts after eight years

They substitute their values shown below into the compound interest formula.

Name

Herky

Elaina

Principal

$500

$400

Compound Interest Accounts

Interest Rate Number of Years

5%

8

Compounded

Once a year

Once a year

6%

A = P(1+r)

Which pair of equations would correctly calculate their compound interests?

Herky: A = 500(1 +0.08) Elaina A-400(1+0.08)

Herky: A = (500 x 1) + (0.05) Elaina A- (400 1) + (0.06)

Herky: A - 500(1+0.05) 8 Elaina: A-400(1+0.06)

Herky: A = (500X1) +(0.05) 8 Elaina A = (400x1)+(0.05) 8

Hurry plz

step-by-step explanation:

equation

you are asked to write the equation

  expression = 0

using the given expression. when you do that, you have

  2x^2-2x-12 = 0

factoring

you can see that each of the coefficients is even, so a factor of 2 can be removed immediately.

  2(x^2 -x -6) = 0

if you multiply the binomials (x+a)(x+b), you get

  (x +a)(x +b) = x^2 +(a+b)x +ab

this tells you the coefficient of x is the sum of two factors of the constant term. here, that means -1 is the sum of two factors of -6. we want to know those factors so we can factor the trinomial.

  -6 = -1×6 = -2×3 = -3×2 = -6×1

the factor pair that sums to -1 is {-3, 2}, so our factorization is

  2(x -3)(x +2) = 0

solutions

the solutions to this equation are the values of x that make the product zero. a product is zero only when only of the factors of the product is zero. here, that means

  x - 3 = 0

  x = 3 . . . add 3 to both sides of the equation

or

  x +2 = 0

  x = -2 . . . add -2 to both sides of the equation

the solutions to the equation are x=3 or x=-2. both of these values of x satisfy the equation—they make it be true.

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional

step-by-step explanation:

what are the statements? and what do you mean by "216 2 1 6"?