Answer:
k = 5
Step-by-step explanation:
given f(x) then f(x) + k represents a vertical translation of f(x)
• If k > 0 then a shift of k units up
• If k < 0 then a shift of k units down
f(x) crosses the y- axis at - 2
g(x) crosses the y- axis at 3
Thus g(x) is 5 units vertically up from f(x)
since g(x) = f(x) + k → then k = 5
Answer:
$1,281.00
Step-by-step explanation:
We start by calculating the value $50 added each month after the first month
= $50 × 11
= $550
Calculation:
First, converting R percent to r a decimal
r = R/100 = 5.5%/100 = 0.055 per year.
P = Principal = 500 + 550
= $1050
Calculation:
First, converting R percent to r a decimal
r = R/100 = 5.5%/100 = 0.055 per year.
Solving our equation:
A = 1050(1 + (0.055 × 4)) = 1281
A = $1,281.00
Therefore, there would be $1,281.00 after 4 years.
Answer:
AC ≈ 2.96
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos65° = 
= 
= 
Multiply both sides by 7
7 × cos65° = AC , thus
AC ≈ 2.96 ( to the nearest hundredth )
Answer:
hailey played the game longer (1/3 hour).
Step-by-step explanation:
You are deciding which is greater: 1/6 or 1/3.in this case, a smaller denominator (such as 3) produces a greater value.1/3 has a smaller denom. than does 1/6, so 1/3 is greater than 1/6.hailey played the game longer (1/3 hour).
Answer:
9pi
Step-by-step explanation:
circumference is 2(pi)(r) or diameter(pi)
