Answer:
Step-by-step explanation:
estimation: 84-73
11
Answer:
x = -5
Step-by-step explanation:
g(x) = 19 g(x) = -3x + 4
So g(x) = g(x)
19 = -3x + 4 Subtract 4 from each side
19 - 4 = -3x + 4 - 4
15 = -3x Divide each side by -3
15/-3 = -3x/-3
15/-3 = x
-5 = x
Answer:
The APR is 16%.
Step-by-step explanation:
Jason writes the following function to represent the amount of money in his account after 7 years given quarterly compounding of the $2430 initial deposit as
......... (1)
a. If we want to rewrite the equation in the form
.......... (2)
Then comparing equation (1) and (2) we get, A = 2430 and t = 7
Hence, 7n = 28
⇒ n = 4
Now,
⇒ r = 0.16 i.e. 16%
Therefore, the expression is
(Answer)
b. The APR is 16%. (Answer)
Answer:
16 groups
Step-by-step explanation:
Add all the people up then divided it by 8 so now it will be 8 people in each group and there will be a total of 16 groups
30+32+29+28+9=128/8=16
NOT MY WORDS TAKEN FROM A SOURCE!
(x^2) <64 => (x^2) -64 < 64-64 => (x^2) - 64 < 0 64= 8^2 so (x^2) - (8^2) < 0 To solve the inequality we first find the roots (values of x that make (x^2) - (8^2) = 0 ) Note that if we can express (x^2) - (y^2) as (x-y)* (x+y) You can work backwards and verify this is true. so let's set (x^2) - (8^2) equal to zero to find the roots: (x^2) - (8^2) = 0 => (x-8)*(x+8) = 0 if x-8 = 0 => x=8 and if x+8 = 0 => x=-8 So x= +/-8 are the roots of x^2) - (8^2)Now you need to pick any x values less than -8 (the smaller root) , one x value between -8 and +8 (the two roots), and one x value greater than 8 (the greater root) and see if the sign is positive or negative. 1) Let's pick -10 (which is smaller than -8). If x=-10, then (x^2) - (8^2) = 100-64 = 36>0 so it is positive
2) Let's pick 0 (which is greater than -8, larger than 8). If x=0, then (x^2) - (8^2) = 0-64 = -64 <0 so it is negative3) Let's pick +10 (which is greater than 10). If x=-10, then (x^2) - (8^2) = 100-64 = 36>0 so it is positive Since we are interested in (x^2) - 64 < 0, then x should be between -8 and positive 8. So -8<x<8 Note: If you choose any number outside this range for x, and square it it will be greater than 64 and so it is not valid.
Hope this helped!
:)