1answer.
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
tankabanditka [31]
3 years ago
12

A college student realized that he was spending too much money on music. For the remaining 5 months of the year his goal is to s

pend a mean of $60 a month towards music. How much can he spend in December, taking into consideration that in the other 4 months he spent $100, $35, $40, and $55, respectively? Round your answer to two decimal places, if necessary.
Mathematics
1 answer:
galina1969 [7]3 years ago
7 0

70 dollars

Step-by-step explanation:

The average of the other months is 57.5, giving us 2.5 until 60. 2.5 times 4 is equal to 10. 60 plus 10 is equal to 70

You might be interested in
Based on the graph, what is the initial value of the linear relationship?
Fofino [41]

The initial value of the linear relationship is 5.

Solution:

  • The y-intercept is the point where the line crosses at y-axis.
  • The initial value of the linear function is the y-intercept.

On observing the graph, the line crosses y-axis at the point (0, 5).

So, y-intercept = 5

That is initial value = 5

Therefore the initial value of the linear relationship is 5.

4 0
3 years ago
The graph h = −16t^2 + 25t + 5 models the height and time of a ball that was thrown off of a building where h is the height in f
Thepotemich [5.8K]

Answer:

part 1) 0.78 seconds

part 2) 1.74 seconds

Step-by-step explanation:

step 1

At about what time did the ball reach the maximum?

Let

h ----> the height of a ball in feet

t ---> the time in seconds

we have

h(t)=-16t^{2}+25t+5

This is a vertical parabola open downward (the leading coefficient is negative)

The vertex represent a maximum

so

The x-coordinate of the vertex represent the time when the ball reach the maximum

Find the vertex

Convert the equation in vertex form

Factor -16

h(t)=-16(t^{2}-\frac{25}{16}t)+5

Complete the square

h(t)=-16(t^{2}-\frac{25}{16}t+\frac{625}{1,024})+5+\frac{625}{64}

h(t)=-16(t^{2}-\frac{25}{16}t+\frac{625}{1,024})+\frac{945}{64}\\h(t)=-16(t^{2}-\frac{25}{16}t+\frac{625}{1,024})+\frac{945}{64}

Rewrite as perfect squares

h(t)=-16(t-\frac{25}{32})^{2}+\frac{945}{64}

The vertex is the point (\frac{25}{32},\frac{945}{64})

therefore

The time when the ball reach the maximum is 25/32 sec or 0.78 sec

step 2

At about what time did the ball reach the minimum?

we know that

The ball reach the minimum when the the ball reach the ground (h=0)

For h=0

0=-16(t-\frac{25}{32})^{2}+\frac{945}{64}

16(t-\frac{25}{32})^{2}=\frac{945}{64}

(t-\frac{25}{32})^{2}=\frac{945}{1,024}

square root both sides

(t-\frac{25}{32})=\pm\frac{\sqrt{945}}{32}

t=\pm\frac{\sqrt{945}}{32}+\frac{25}{32}

the positive value is

t=\frac{\sqrt{945}}{32}+\frac{25}{32}=1.74\ sec

8 0
3 years ago
If i can get 3 snapple Iced tea. and its 3 for $6 How would it be if i get 2 snapple Iced tea?
nikklg [1K]

Answer:

4 dollars for 2 drinks (2 dollars for 1 drink)

Step-by-step explanation:

Okay, so you can get 3 snapple drinks from 6 dollars. and you want to know the cost of 2 snapple drinks.

3 ÷ 6 = 2

So 1 drink is 2 dollars, if you wanted to buy 2 drinks the cost would be 4 dollars! Have a great day friend! :D

8 0
3 years ago
Read 2 more answers
Prove that cos(2????) = 2cos2(????) − 1 for any real number ????.
Over [174]

Answer:

Sure

Step-by-step explanation:

6 0
3 years ago
HELP ASAP!!! PLEASE CHECK ALL OF THEM!
pochemuha

Answer:

2.

A. (P+h)(x)

2x/x+4 (x-1) + x/x-1 (x+4)

2x^2-1/x^2-4

+

X^2+4/x^2-4

= 3x^2+3/x^2-4

B. (F-g)(x)

X^2-7x+6-x - 6

= x^2 -8x

C. (Fg)(x)

(X^2-7x+6)(x-6)

= x^3-13x^2+48x-36

D. (H/p)(x)

X/x-1 / 2x/x+4

X/x-1 / x+4/2x

= X^2+4x/2x^2-2x

3.

A. (F+g)(3)

X^2+1 + x-4

3^2+1 + 3-4

10 -1

= 9

B. (f-g)(0)

X^2+1 - x-4

0+1 -0-4

1-4

= -3

C. (Fg)(-k)

(X^2+1) (x-4)

(-k^2+1) (-k-4)

K^3+4k^2-k-4

D. (F/g)(k-2)

X^2+1 /x-4

K-2^2+1 / k-2 -2

= K^2-4k+5 / k-4

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • What's the answer????​
    7·1 answer
  • Another company offers a rate of 0.05per minute how would you find the unit rate per hour
    6·1 answer
  • What 4 consecutive integers thats add up to 50?
    5·1 answer
  • Can someone help me with this
    6·2 answers
  • What is 7s + (2s) - (19s) =
    10·1 answer
  • What is -7.654 - 4.76?
    11·1 answer
  • The mean weight of 500 college students is 70 kg and the standard deviation is 3 kg. Assuming that the weight is normally distri
    10·1 answer
  • Danyel took a test that had 20 questions on it. He got 4/5 of the question correct. How many questions did he get correct?
    6·1 answer
  • Write the number in 2 equivalent forms as a fraction, decimal, or percent.
    10·2 answers
  • 2. The center of a circle is at (4,-5). The radius of the circle is 10 units. Write the equation of the
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!