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
swat32
3 years ago
14

Mardi received an inheritance of $40,000. She invested part at 9% and the rest at 12%. Her total annual income from the investme

nts was $3900. Find the amount she invested at 9%
Mathematics
1 answer:
-BARSIC- [3]3 years ago
5 0

Answer:

She invested $30,000 at 9%

Step-by-step explanation:

Let the amount invested per percentage be $x and $y respectively

Total investment is 40,000

This means that;

x + y = 40,000 ••••••••••(i)

Now for her income;

9/100 * x = 9x/100

for the 12% = 12/100 * y = 12y/100

Now;

9x/100 + 12y/100 = 3,900

9x + 12y = 390000 •••••••••(ii)

we solve both simultaneously

From i, y = 40,000-x

Substitute this into ii

9x + 12(40,000-x) = 390,000

9x + 480,000-12x = 390,000

3x = 480,000-390,0000

3x = 90,000

x = 90,000/3

x = $30,000

You might be interested in
Find the area of an equilateral triangle (regular 3-gon) with the given measurement.
olga nikolaevna [1]

The formula for finding the area of an equilateral triangle is

square root of 3 * (a^2/2)

a is the side length so in this case is 6

square root of 3 * (18)

the area is about 15.6

6 0
3 years ago
Make up your own “which one doesn’t belong” example:
Stolb23 [73]
Caca pipipoopoo checkkkkkkkk
6 0
4 years ago
Find the equation of the line.<br><br>Use exact numbers.
Taya2010 [7]

Slope intercept form: y = mx + b

m = slope

b = y-intercept

The line passes through the y-axis at the point (0, -5). So, -5 is the y-intercept.

We can use the points (0, -5) and (5, 0) to solve.

Slope formula: y2-y2/x2-x1

0-(-5)/5-0)

5/5

1

The slope is 1.

Substitute these values into the equation.

y = 1x + (-5)

y = x - 5

Therefore, the answer is [ y = x - 5 ]

Best of Luck!

6 0
3 years ago
In a certain Algebra 2 class of 30 students, 19 of them play basketball and 12 of them play baseball. There are 8 students who p
Alenkinab [10]

Answer:

Probability that a student chosen randomly from the class plays basketball or baseball is  \frac{23}{30} or 0.76

Step-by-step explanation:

Given:

Total number of students in the class = 30

Number of students who plays basket ball = 19

Number of students who plays base ball = 12

Number of students who plays base both the games = 8

To find:

Probability that a student chosen randomly from the class plays basketball or baseball=?

Solution:

P(A \cup B)=P(A)+P(B)-P(A \cap B)---------------(1)

where

P(A) = Probability of choosing  a student playing basket ball

P(B) =  Probability of choosing  a student playing base ball

P(A \cap B) =  Probability of choosing  a student playing both the games

<u>Finding  P(A)</u>

P(A) = \frac{\text { Number of students playing basket ball }}{\text{Total number of students}}

P(A) = \frac{19}{30}--------------------------(2)

<u>Finding  P(B)</u>

P(B) = \frac{\text { Number of students playing baseball }}{\text{Total number of students}}

P(B) = \frac{12}{30}---------------------------(3)

<u>Finding P(A \cap B)</u>

P(A) = \frac{\text { Number of students playing both games }}{\text{Total number of students}}

P(A) = \frac{8}{30}-----------------------------(4)

Now substituting (2), (3) , (4) in (1), we get

P(A \cup B)= \frac{19}{30} + \frac{12}{30} -\frac{8}{30}

P(A \cup B)= \frac{31}{30} -\frac{8}{30}

P(A \cup B)= \frac{23}{30}

7 0
3 years ago
Does 1/2+1/8 = to 3/4
AleksAgata [21]
1/2 is 2/4, and so we would need another 1/4 to make it equal to 3/4
1/8 is not equal to 1/4, so 1/2+1/8 does not equal 3/4
5 0
3 years ago
Read 2 more answers
Other questions:
  • This is the rest i could really use your help
    7·2 answers
  • What is the solution for the equation a+ 8/3 = 2/3
    12·2 answers
  • Use​ DeMoivre's Theorem to find the indicated power of the complex number. Write the answer in rectangular form.
    11·1 answer
  • ZOHK is a straight angle. Find mZLAK.
    13·2 answers
  • 14. Thomas counts the number of cars he sees in the parking lot of the school each hour of the
    14·1 answer
  • The cost, in dollars, of a gym membership for n months can be described by the explicit equation Pn = 70 + 30n. What does this e
    13·1 answer
  • Fiona was thinking of a number. Fiona doubles it and adds 5.1 to get an answer of 11.5.
    8·1 answer
  • Identify the linear function graph
    8·1 answer
  • What point approxmiates the square root of 10
    7·1 answer
  • I need a real answer to this problem and if you can't answer then please don't answer this. Just give me the answer for the blan
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!