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
brilliants [131]
3 years ago
5

Suppose you have $12,000 to invest. If part is invested at 10% and the rest at 15%, how much should be invested at each rate to

yield 12% on the total amount invested?
Mathematics
1 answer:
Ivahew [28]3 years ago
3 0
X=invested at 10%12000-x=invested at 15% .10x+ (.15)(12000-x)=1440 ;; 12% of the total amount is 12% of $12000. .10x + 1800-.15x=1440
-0.05x=-360x=7200 12000-x=4800 $7200 at 10%=$720$4800 at 15%=$720 That is $12000 earning $1440, and that is 12%
You might be interested in
MATH HELP 100 POINTS PLEASE
gogolik [260]

Answer:

Step-by-step explanation:

solid line means >=

y >= x+1

dotted line mean >

y > -x-2

combining

the system of inequalities is y >= x+1 and y > -x-2

3 0
3 years ago
Read 2 more answers
I don't understand how to solve?
Kobotan [32]
Ok u have a phone and call 911 and say I don't know to solve can u help me
6 0
3 years ago
ABC ~ XYZ Find the length of BC (need an answer as soon as possible, with showing work please)
Snezhnost [94]

Answer:

BC is equal to 7

Step-by-step explanation:

18 = 2x + 4

18 - 4 = 14

14 = 2x

14/2 = 7

7 = x

4 0
2 years ago
What is the equation of the line perpendicular to 3x+y= -8that passes through -3,1? Write your answer in slope-intercept form. S
Gekata [30.6K]

Slope intercept form of a line perpendicular to 3x + y = -8, and passing through (-3,1) is y=\frac{1}{3} x+2

<u>Solution:</u>

Need to write equation of line perpendicular to 3x+y = -8 and passes through the point (-3,1).

Generic slope intercept form of a line is given by y = mx + c

where m = slope of the line.

Let's first find slope intercept form of 3x + y = -8

3x + y = -8

=> y = -3x - 8

On comparing above slope intercept form of given equation with generic slope intercept form y = mx + c , we can say that for line 3x + y = -8 , slope m = -3  

And as the line passing through (-3,1) and is  perpendicular to 3x + y = -8, product of slopes of two line will be -1  as lies are perpendicular.

Let required slope = x  

\begin{array}{l}{=x \times-3=-1} \\\\ {=>x=\frac{-1}{-3}=\frac{1}{3}}\end{array}

So we need to find the equation of a line whose slope is \frac{1}{3} and passing through (-3,1)

Equation of line passing through (x_1 , y_1) and having lope of m is given by

\left(y-y_{1}\right)=\mathrm{m}\left(x-x_{1}\right)

\text { In our case } x_{1}=-3 \text { and } y_{1}=1 \text { and } \mathrm{m}=\frac{1}{3}

Substituting the values we get,

\begin{array}{l}{(\mathrm{y}-1)=\frac{1}{3}(\mathrm{x}-(-3))} \\\\ {=>\mathrm{y}-1=\frac{1}{3} \mathrm{x}+1} \\\\ {=>\mathrm{y}=\frac{1}{3} \mathrm{x}+2}\end{array}

Hence the required equation of line is found using slope intercept form

4 0
2 years ago
Solve for x in equation <br> x-c/2=d
lana66690 [7]
X-c/2 = d
Multiply by 2 on both sides. Leaves us with:
x-c = 2d
Add 2 to both sides. Leaves us with:
x = 2d + c
Unless you have values to substitute into the variables, this is your answer:
x = 2d + c
4 0
3 years ago
Other questions:
  • -4.7x + 4 = 4.6x + 7
    15·2 answers
  • A roof on a castle tower is shaped like a cone with a diameter of 12 feet and has a slant height of 13 feet one bundle of Shingl
    9·1 answer
  • Laura's job is 4 1/2 miles away. If she starts walking to her job at 9:00 a.m. and is scheduled to start working at 11:00 a.m.,
    8·1 answer
  • On Saturday 45 percent of the music Brianna listened to was country songs . She listened to 27 country songs on Saturday . How m
    9·1 answer
  • In 4 month, 104 gallons were used(determine gallons per month)
    7·1 answer
  • The slope of the line below is 2. Use the coordinates of the labeled point to find a point-slope equation of the line.
    6·1 answer
  • A bag of kibble and 4 cans of cat food cost $8.40. The kibble
    9·1 answer
  • Help please!!!!!! <br> Explain
    6·1 answer
  • Which of the following may have an outcome that is not a polynomial ? A. The addition of two polynomials B. The multiplication o
    7·1 answer
  • What are the coordinate points of Y
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!