Answer:
0.12
Step-by-step explanation:
Due to 3 not being higher or equal to 5, you wouldn't round the 2 here up. Hundredths are 2 decimal places.
Answer:
I invested $ 10,000 at 7% per year, and $ 1,000 at 3% per year.
Step-by-step explanation:
Given that I invested $ 11,000 in two accounts paying 3% and 7% annual interest, respectively, if the total interest earned for the year was $ 730, to determine how much was invested at each rate, the following calculation must be performed:
5,000 x 0.07 + 6,000 x 0.03 = 530
8,000 x 0.07 + 3,000 x 0.03 = 650
10,000 x 0.07 + 1,000 x 0.03 = 730
Therefore, I invested $ 10,000 at 7% per year, and $ 1,000 at 3% per year.
Answer: 19
Step-by-step explanation:
Answer:
A.) gf(x) = 3x^2 + 12x + 9
B.) g'(x) = 2
Step-by-step explanation:
A.) The two given functions are:
f(x) = (x + 2)^2 and g(x) = 3(x - 1)
Open the bracket of the two functions
f(x) = (x + 2)^2
f(x) = x^2 + 2x + 2x + 4
f(x) = x^2 + 4x + 4
and
g(x) = 3(x - 1)
g(x) = 3x - 3
To find gf(x), substitute f(x) for x in g(x)
gf(x) = 3( x^2 + 4x + 4 ) - 3
gf(x) = 3x^2 + 12x + 12 - 3
gf(x) = 3x^2 + 12x + 9
Where
a = 3, b = 12, c = 9
B.) To find g '(12), you must first find the inverse function of g(x) that is g'(x)
To find g'(x), let g(x) be equal to y. Then, interchange y and x for each other and make y the subject of formula
Y = 3x + 3
X = 3y + 3
Make y the subject of formula
3y = x - 3
Y = x/3 - 3/3
Y = x/3 - 1
Therefore, g'(x) = x/3 - 1
For g'(12), substitute 12 for x in g' (x)
g'(x) = 12/4 - 1
g'(x) = 3 - 1
g'(x) = 2.
Answer
Social security tax amount = $3348
Medicare tax amount = $743
Step by step explanation
The amount earned by Marcus = $54000
Social security tax = 6.2% = 6.2/100 = 0.062
Social security tax amount = 54000*0.062
Social security tax amount = $3348
Medicare tax = 1.45% = 1.45/100 = 0.0145
Medicare tax amount = 54000*0.0145
Medicare tax amount = $743
Hope this will help you.
