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
Mamont248 [21]
2 years ago
6

Ms. Moran has started an investment club at BSS. $8000 is invested, some at 10%

Mathematics
1 answer:
labwork [276]2 years ago
6 0
The answer can be readily calculated using a single variable, x:

Let x = the amount being invested at an annual rate of 10%
Let (8000 - x) = the amount being invested at an annual rate of 12%

The problem is then stated as:

(x * 0.10) + ((8000 - x) * 0.12) = 900
0.10(x) + ((8000 * 0.12) - 0.12(x)) = 900
0.10(x) + 960 - 0.12(x) = 900
0.10(x) - 0.12(x) = 900 - 960
-0.02(x) = -60
-0.02(x) * -100/2 = -60 * -100/2
x = 6000 / 2
x = 3000

Thus, $3,000 is invested at 10% = $300 annually; and $8,000 - $3,000 = $5,000 invested at 12% = $600 annually, which sum to $900 annual investment.
You might be interested in
0=x2+4x-5 using zero product property
Elenna [48]

Answer:

x=1,-5x=1,−5

Step-by-step explanation:

0=(x−1)(x+5)

2 Switch sides.

(x-1)(x+5)=0(x−1)(x+5)=0

3 Solve for xx.

x=1,-5x=1,−5

4 0
2 years ago
Hi. I need help. This is for homework I would appreciate it if you helped.
Triss [41]

Answer:

Ik this isn't an answer but wanted to say good luck im battling stuff too :(

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Write as a fraction 30:40
asambeis [7]
30/40 Maybe I am guessing sorry if it is wrong Please mark me as brainliest
5 0
3 years ago
Read 2 more answers
The side length of a cube is represented by s as shown in the equation below.
Gekata [30.6K]

Answer:

7 and -7

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Plz help, I'm taking an Advanced class (Algebra) Will give brainliest ✔✔✔✔✔✔✔✔✔
bija089 [108]

Part A:

The average rate of change refers to a function's slope. Thus, we are going to need to use the slope formula, which is:

m = \dfrac{y_2 - y_1}{x_2 - x_1}

  • (x_1, y_1) and (x_2, y_2) are points on the function

You can see that we are given the x-values for our interval, but we are not given the y-values, which means that we will need to find them ourselves. Remember that the y-values of functions refers to the outputs of the function, so to find the y-values simply use your given x-value in the function and observe the result:

h(0) = 3(5)^0 = 3 \cdot 1 = 3

h(1) = 3(5)^1 = 3 \cdot 5 = 15

h(2) = 3(5)^2 = 3 \cdot 25 = 75

h(3) = 3(5)^3 = 3 \cdot 125 = 375


Now, let's find the slopes for each of the sections of the function:

<u>Section A</u>

m = \dfrac{15 - 3}{1 - 0} = \boxed{12}

<u>Section B</u>

m = \dfrac{375 - 75}{3 - 2} = \boxed{300}


Part B:

In this case, we can find how many times greater the rate of change in Section B is by dividing the slopes together.

\dfrac{m_B}{m_A} = \dfrac{300}{12} = 25


It is 25 times greater. This is because 3(5)^x is an exponential growth function, which grows faster and faster as the x-values get higher and higher. This is unlike a linear function which grows or declines at a constant rate.

7 0
3 years ago
Other questions:
  • What is the area of the shaded region?​
    6·2 answers
  • Can someone help me select the value for the two questions
    11·1 answer
  • Mixed problem with fractions <br> 1 over 2 minus 1 over 4
    13·1 answer
  • In a certain math class, it is known that 18 students LOVE math review, and 5 students dislike math review. The teacher randomly
    6·2 answers
  • When 3 is substituted for x, in the equation y=x-7, what is y?
    14·1 answer
  • Here is Kwame’s work writing the expression 4-2(x + 5) using fewer terms.
    11·2 answers
  • . The model below represents the equation 3x + 2 = 11.
    9·1 answer
  • What is the volume of a cylinder that has the diameter of 8.5 inches and a height of 6.4 inches?
    15·1 answer
  • PLEASE HELP!!!!!!!What has to be true if you want to solve a quadratic?
    13·1 answer
  • Help ASAP! Will give brainliest if correct. aa god pls be correct
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!