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3 years ago

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Janet is a banker who works as a musician on the weekends. Here is part of her tax worksheet: wages from banking $38,295.47, wag

es from music jobs $9,310, interest $435.70, dividends $253.91, and royalties $1,118.61. What is Janet's total income?

1 answer:

jasenka [17]3 years ago

3 0

I think it 49,413.69

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Find the quation of the quadratic function with roots 0 and 4 and a vertex at (2,-2)

Nookie1986 [14]

Answer:

y = (1/2)x² -2x

Step-by-step explanation:

recall that the general equation of a quadratic function is:

y = Ax² + Bx + C

given that 0 and 4 are roots, that means when x = 0 and x = 4, then y = 0

From this we can get 2 points on the curve, namely, (0,0) and (4,0)

substituting these points one at a time into the equation above,

for the first point (0,0),

0 = A (0)² + b(0) + C

C = 0

hence the equation becomes: y = Ax² + Bx

for the 2nd known point (4,0)

0 = A(4)² + B(4)

0 = 16A + 4B (divide both sides by 4)

0 = 4A + B

B = -4A ------------(eq 1)

we are given a 3rd point, vertex at (2,-2)

for (2,-2)

-2 = A(2²) + B(2)

-2 = 4A + 2B (divide both sides by 2)

-1 = 2A + B (subtract 2A from both sides)

B = -1 -2A --------(eq 2)

solving the system of equations using the method of your choice in eq1 and eq 2 gives:

A = 1/2 and B = -2

hence the equation is

y = (1/2)x² -2x

7 0

3 years ago

In Jamie's class, 1/5 of the students are boys. What percent of the students in Jamie’s class are boys?

Cloud [144]

Answer:

The percentage of boys students in Jamie's class is 20 %

Step-by-step explanation:

Given as :

The total number of boys in the Jamie's class = $\frac{1}{5}$ of the total student

Let the total number of student's in the class = x

So, The number of boys = $\frac{1}{5}$ × x

I.e The number of boys = $\dfrac{x}{5}$

So , in percentage the number of boys students in class = $\dfrac{\textrm Total number of boy student}{\textrm Total number of students}$ × 100

OR, % boys students = $\dfrac{\dfrac{x}{5}}{x}$ × 100

or, % boys students = $\frac{100}{5}$

∴ % boys students = 20

Hence The percentage of boys students in Jamie's class is 20 % . Answer

7 0

3 years ago

Read 2 more answers

I'm not sure how to simplify this expression with the exponents rules of multiplication

Vedmedyk [2.9K]

The rule of exponential multiplication is (a^x)*(a^y)=a^(x+y)
using this with your expression, we can do
(10^1)*(10^3)*(10^2)=10^(1+3+2)=10^6
Final answer:
10^6 or 1 million
Hope I helped :)

3 0

3 years ago

Mrs.Lamb’s favorite candy bar weight 3 ounces. If a box contains 150 of these candy bars, what is the weight, In pounds, of this

Bumek [7]

Answer:

28.125

Step-by-step explanation:

A bar weights 3 ounces, she has a box of 150 so you multiply

150 times 3 = 450

well one pound equals 16 ounces, so you divide

450 divide by 16 = 28.125

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3 years ago

Elsa, Ryan, and Bill have a total of $135 in their wallets. Ryan has 4 times what Bill has. Elsa has $9 more than Bill. How much

NNADVOKAT [17]

Answer:

Bill has $21.

Step-by-step explanation:

There's $135. 84/4=21. At the same time, 21+9=30. 30+21+84=135.

6 0

3 years ago