answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
inysia [295]
2 years ago
7

Jamaal earns $8.42 per hour. If he gets a 3% raise, how much will he earn per hour?

Mathematics
2 answers:
Elenna [48]2 years ago
8 0

Answer: C) $8.67

Step-by-step explanation:

We are given that ,

Jamaal earns $8.42 per hour.

i.e. Original pay per hour = $8.42

If he gets a 3% raise , then his earning is raised by :

Raised amount= Percent of raise x Originla pay

= 0.03\times 8.42  [We convert 3% = 0.03 by dividing it by 100.]

=\$0.2526\approx\$0.25 [Rounded to the nearest cent]

Now, the amount he will earn after raise = Original pay +Raised amount

= $8.42+ $0.25= $8.67

Therefore , he will earn  $8.67 per hour.

hence, the correct answer is C) $8.67

nika2105 [10]2 years ago
4 0
C will be the answer,
You might be interested in
the value of a collectible coin can be represented by the equation y=2x+9.74 where x represents the number of years that consuel
Serggg [28]

Answer:

The answer is b ($9.74)

Step-by-step explanation:

I got it right (:

4 0
2 years ago
Find the point (x,y) of x2+14xy+49y2=100 that is closest to the origin and lies in the first quadrant.
Gala2k [10]

Notice that

x^2+14xy+49y^2=(x+7y)^2

so the constraint is a set of two lines,

(x+7y)^2=100\implies\begin{cases}x+7y=10\\x+7y=10\end{cases}

and only the first line passes through the first quadrant.

The distance between any point (x,y) in the plane is \sqrt{x^2+y^2}, but we know that \sqrt{f(x,y)} and f(x,y) share the same critical points, so we need only worry about minimizing x^2+y^2. The Lagrangian for this problem is then

L(x,y,\lambda)=x^2+y^2+\lambda(x+7y-10)

with partial derivatives (set equal to 0)

L_x=2x+\lambda=0

L_y=2y+7\lambda=0

L_\lambda=x+7y-10=0

We have

L_y-7L_x=2y-14x=0\implies y=7x

which tells us that

x+7y-10=0\iff x+49x=10\implies x=\dfrac15\implies y=\dfrac75

so that \left(\dfrac15,\dfrac75\right) is a critical point. The Hessian for the target function x^2+y^2 is

H(x,y)=\begin{bmatrix}2&0\\0&2\end{bmatrix}

which is positive definite for all x,y, so the critical point is the site of a minimum. The minimum distance itself (which we don't seem to care about for this problem, but we might as well state it) is \sqrt{\left(\dfrac15\right)^2+\left(\dfrac75\right)^2}=2.

3 0
2 years ago
5. When looking at a map, a student realizes that Birmingham is nearly due west of Atlanta, and Nashville is nearly due north of
leonid [27]

Answer: 250 mi

Step-by-step explanation:

Here we can think in a triangle rectangle:

The distance from Birmingham to Atlanta is roughly 150 mi, and this is one of the cathetus.

And the distance from Birmingham to Nashville is roughly 200 mi, this is the other cathetus of the triangle.

Now, the distance from Atlanta to Nashville will be the hypotenuse of this triangle rectangle.

Now we can apply the Pythagorean's theorem:

A^2 + B^2 = H^2

Where A and B are the cathetus, and H is the hypotenuse:

Then:

H = √(A^2 + B^2)

H = √(150^2 + 200^2) mi = √(62,500) mi = 250 mi

Then the estimated distance from Atlanta to Nashville is 250 mi

6 0
2 years ago
I need help ASAP!!!!!When bisecting an angle, three arcs are drawn. One is used to find points on the rays of the angle, and the
user100 [1]

Answer:

B

Step-by-step explanation:

The order does not matter. The intersection point will be the same regardless of the order the arcs are drawn in.

4 0
2 years ago
The a value of a function in the form f(x) = ax2 + bx + c is negative. Which statement must be true?
Savatey [412]
The correct answer for the question that is being presented above is this one: "The axis of symmetry is to the left of zero." The a value of a function in the form f(x) = ax2 + bx + c is negative. The statement must be true is this The axis of symmetry is to the left of zero.<span>
</span>
11 0
1 year ago
Read 2 more answers
Other questions:
  • Which statement best describes how to determine whether f(x) = 9 – 4x2 is an odd function? Determine whether 9 – 4(–x)2 is equiv
    9·2 answers
  • What addition doubles fact can help you find 4+3? Explain how you know?
    7·1 answer
  • Which graph represents the following piecewise defined function?
    10·2 answers
  • TravelEz sells dollars at a rate of ($1.40)/(1 euro) and buys dollars at a rate of ($1.80)/(1 euro). At the beginning of a trip,
    6·1 answer
  • Lindsey bought a new candle and the base of the candle covers an area of 19.625 square inches. She plans on putting the candle i
    14·2 answers
  • Select the correct answer.
    15·1 answer
  • What is the distance between the following points?
    14·1 answer
  • A circular track is 1000 yards in circumference. Cyclists A, B, and C start at the same place and time, and race around the trac
    8·1 answer
  • The BJ Electrical Company needs to hire master electricians and apprentices for a one week project. Master electricians receive
    10·1 answer
  • the cross sectional area of a cylinder is 614 cm 2 the height is 8cm what is the volume of the cylinder​
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!