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
Sonja [21]
3 years ago
4

The equation y= 1.55x + 110,419 approximates the total cost, in dollars, of raising a child in the United States from birth to 1

7 years, given the households annual income, x. Approximately how much would it cost to raise a child from birth to 17 years in a household with an annual income of $33,0000
Mathematics
1 answer:
Tcecarenko [31]3 years ago
3 0

Answer:

$161,569

Step-by-step explanation:

General Relationship y=1.55x+`110,419

where x is household income

for a household with annual income $33,000

Cost of raising child to 17 years, y=1.55x33,000 +110419=161569

You might be interested in
Please help me find X and Y! Thank you :)
shepuryov [24]

Answer:

The value of x is -29 and the value of y is -26

Step-by-step explanation:

we know that

If two figures are congruent, then its corresponding angles and its corresponding sides are congruent

so

The length of the corresponding sides must be equal

-2x+2y=6 ----> equation A

-7x+8y=-5 ----> equation B

Note

The length of one side of the triangle equal to -5 is not logical, however we will continue with the resolution of the problem for didactic purposes.

Solve the system by graphing

Remember that

the solution of the system of equations by graphing is the intersection point both graphs

using a graphing tool

The solution is the point (-29,-26)

see the attached figure

therefore

The value of x is -29 and the value of y is -26

3 0
3 years ago
16 m - 14<br> ???????????help
nadezda [96]
Umm... 16(m-14)?
16m-224

If it is 16m-14, I’m not sure how to solve without more information.
8 0
3 years ago
Find the area that the curve encloses and then sketch it.<br> r = 3 + 8 sin(6)
Rudiy27

Answer:

A=41\pi\: \text{units}^2\approxA\approx128.8053\:\text{units}^2

Step-by-step explanation:

I assume you mean r=3+8\sin\theta:

Use the formula \displaystyle A=\int\limits^a_b \frac{1}{2} {r(\theta)^2} \, d\theta where a and b are the lower and upper bounds and r(\theta) is the equation of the polar curve.

Since the graph is symmetrical about the line \displaystyle \theta=\frac{\pi}{2}, let the bounds of integration be \displaystyle \biggr(-\frac{\pi}{2},\frac{\pi}{2}\biggr) to find half the area of the curve, and then find twice of that area:

\displaystyle A=\int\limits^a_b \frac{1}{2} {r(\theta)^2} \, d\theta\\\\A=2\int\limits^{\frac{\pi}{2}}_{-\frac{\pi}{2}} \frac{1}{2} {(3+8\sin\theta)^2} \, d\theta\\\\A=\int\limits^{\frac{\pi}{2}}_{-\frac{\pi}{2}} 9+48\sin\theta+64\sin^2\theta \, d\theta\\\\A=\int\limits^{\frac{\pi}{2}}_{-\frac{\pi}{2}} 9+48\sin\theta+64\biggr(\frac{1-\cos2\theta}{2} \biggr) \, d\theta\\\\\\A=\int\limits^{\frac{\pi}{2}}_{-\frac{\pi}{2}} (9+48\sin\theta+32-32\cos2\theta) \, d\theta

\displaystyle A=\int\limits^{\frac{\pi}{2}}_{-\frac{\pi}{2}} (41+48\sin\theta-32\cos2\theta) \, d\theta\\\\A=41\theta-48\cos\theta-16\sin2\theta\biggr|^{\frac{\pi}{2}}_{-\frac{\pi}{2}}\\\\

A=\biggr[41\biggr(\frac{\pi}{2}\biggr)-48\cos\biggr(\frac{\pi}{2}\biggr)-16\sin2\biggr(\frac{\pi}{2}\biggr)\biggr]-\biggr[41\biggr(-\frac{\pi}{2}\biggr)-48\cos\biggr(-\frac{\pi}{2}\biggr)-16\sin2\biggr(-\frac{\pi}{2}\biggr)\biggr]\\\\A=\biggr[\frac{41\pi}{2}-24\sqrt{2}\biggr]-\biggr[-\frac{41\pi}{2}+24\sqrt{2}\biggr]\\ \\A=41\pi\\\\A\approx128.8053

Thus, the area of the curve is 41π square units. See below for a graph of the curve and its shaded area.

7 0
3 years ago
F(x) = Square root of x plus eight.; g(x) = 8x - 12 Find f(g(x))
Liono4ka [1.6K]
f(x)= \sqrt{x+8} \Rightarrow f(g(x))= \sqrt{(8x-12)+8} = \sqrt{8x -4}
7 0
3 years ago
Read 2 more answers
In right triangle ABC, m angle C equals 90 degree. If sin A equals 24 over 25, which function also equals 24 over 25?
Free_Kalibri [48]

Answer:

cos B

Step-by-step explanation:

Let us take a look at angle B

The side adjacent angle B is 24 while the hypotenuse (the side facing the right angle) is 25

The relationship between the adjacent and the hypotenuse can be mapped our using the cosine

So, the cosine is the ratio between the adjacent and the hypotenuse

Hence, cos B = 24/25

7 0
4 years ago
Other questions:
  • Please show me how to order 0.2, 0.1, -0.5, -0.25, 0.3 from least to greatest
    10·2 answers
  • Katherine is having cloth napkins embroidered with her initials. The cost for the embroidery is $4.50 per napkin. Which graph re
    11·2 answers
  • A chef at a restaurant uses 12 pounds of butter each day about how many grams of butter does the chef use each day
    5·1 answer
  • A rectangle has a width of 6 inches and a perimeter of 26 inches. What is the length of the rectangle?
    9·1 answer
  • So hard what's 950+453
    11·1 answer
  • Build and sketch 2x2+7x+6)
    11·1 answer
  • Please help I have attached the problem
    13·2 answers
  • Ali has 3 different coins (10p, 50p and £1).
    11·2 answers
  • 1. Which of the following is an irrational number? How do you know? Use key words and definitions to explain your answer choice.
    8·1 answer
  • What is the greatest common factor of 25,65 and 100
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!