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
xeze [42]
3 years ago
13

carl invests $10000,partly in a secure GIC at 5% and the rest in a mutual fund that he thinks will earn 7.5%. if he expects to e

arn the same amount of interest in both, how much did he invest at each rate
Mathematics
1 answer:
Oduvanchick [21]3 years ago
6 0
Let the amount he invested in the 5% rate be x and the one in the 7.5% rate be y, then
x + y = 10000 . . . (1)
0.05x = 0.075y . . . (2)

From (2), x = 0.075y/0.05 = 1.5y . . . (3)

Putting (3) into (1) gives
1.5y + y = 10000
2.5y = 10000
y = 10000/2.5 = 4000
x = 1.5(4000) = 6000

Therefore, he invested $6,000 in the secure GIC at 5% and $4,000 in the mutual fund.
 
You might be interested in
*ੈ✩‧₊˚
grigory [225]

Answer:8 1/4 cups

Step-by-step explanation:

All you must do is multiply 2.75 (which is 2 3/4 in decimal form) by 3 since Wendy is baking a TRIPLE recipe. So, the work will look like this: 2.75x3=8.25 or 8 1/4 cups of flour.

3 0
1 year ago
Find the area of triangle ABC when b= 141 degrees a= 7 and c=8
Vlad [161]
  You basically use the formula height*base/2 to find the area of the triangle. For instance, let's say a is your chosen base, which has a length of 7. You then use the pythagorean theorem of the right triangle (which is formed by splitting the triangle in half), which is a^2+b^2=c^2, and you substitute half your base for a and the other length (8) for c, which is the hypotenuse of the triangle. Note how this is all being done to find "b", which is the height of the triangle, which will then help you substitute all of your known values into the area formula of a triangle to answer your question. I'm not sure if b=141 degrees would have an impact on this question, but I hope this helped you in some way.
7 0
3 years ago
The apother is 4 m and a side is 5.8 m. What is the area
jekas [21]

Answer:

58 m^2.

Step-by-step explanation:

The  area of one of the 5 triangles is:

1/2 * 5.8 * 4 = 11.6 m^2

So the area of the pentagon

= 5 + 11.6

= 58 m^2

4 0
3 years ago
Read 2 more answers
A quadratic function is a function of the form y=ax^2+bx+c where a, b, and c are constants. Given any 3 points in the plane, the
pochemuha

Answer:

The quadratic function whose graph contains these points is y=-x^{2}-2x-2

Step-by-step explanation:

We know that a quadratic function is a function of the form y=ax^{2}+bx+c. The first step is use the 3 points given to write 3 equations to find the values of the constants <em>a</em>,<em>b</em>, and <em>c</em>.  

Substitute the points (0,-2), (-5,-17), and (3,-17) into the general form of a quadratic function.

-2=a*0^{2}+b*0+c\\c=-2

-17=a*-5^{2}+b*-5+c\\c=-25a+5b-17

-17=a*3^{2}+b*3+c\\ c=-9a-3b-17

We can solve these system of equations by substitution

  • Substitute c=-9a-3b-17

-9a-3b-17=25a+5b-17\\-9a-3b-17=-2

  • Isolate a for the first equation

-9a-3b-17=-25a+5b-17\\a=\frac{b}{2}

  • Substitute a=\frac{b}{2} into the second equation

-9\left(-\frac{b}{2}\right)-3b-17=-2

  • Find the value of b

-9\left(-\frac{4b}{17}\right)-3b-17=-2\\ b=-2

  • Find the value of a

a=\frac{b}{2}\\  a=-1

The solutions to the system of equations are:

b=-2,a=-1,c=-2

So the quadratic function whose graph contains these points is

y=-x^{2}-2x-2

As you can corroborate with the graph of this function.

8 0
3 years ago
Which of the following values is the solution to the equation
Maru [420]

Answer:

x=-14

Step-by-step explanation:

30-(-16)=-30+16=-14=x

x=-14

7 0
3 years ago
Read 2 more answers
Other questions:
  • Which expression represents 81? 1. 3^3 2. 3^4 3. 3^5 4. 3^6
    10·1 answer
  • Use the distributive property to rewrite the following expression.
    13·2 answers
  • The quotient of 2 times a number and 8<br><br> a. 16x<br> b. 8x/2<br> c. 2x/8<br> d. x/16
    7·1 answer
  • A spinner is divided into 10 equal sections numbered 1 through 10. If the arrow is spun twice, what is the probability the first
    14·2 answers
  • Number 2
    12·2 answers
  • A​ company's stock began the day at ​$25.28 per share. That price drops by ​$1.16 each hour. A. What is the price per share afte
    14·1 answer
  • Please help Will Mark right answer as Brainiest
    14·2 answers
  • (0, 2) (3, 8)<br> write an equation in slope intercept form
    7·1 answer
  • In Lewis County, there were 2,277 student athletes competing in spring sports in 2014. That was 110% of the number from 2013, wh
    6·1 answer
  • Find the measure of the arc.<br><br> 42 degrees<br> 84 degrees<br> 21 degrees<br> 81 degrees
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!