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
puteri [66]
3 years ago
9

A profile of the investments owned by an agent’s clients follows: 228 own annuities. 220 own mutual funds. 98 own life insurance

and mutual funds. 93 own annuities and mutual funds. 16 own annuities, mutual funds, and life insurance. 45 more clients own only life insurance than own only annuities. 290 own only one type of investment (i.e., annuity, mutual fund, or life insurance). Calculate the agent’s total number of clients.

Mathematics
1 answer:
Naddik [55]3 years ago
6 0

Answer:

Total number of clients =500

Step-by-step explanation:

<em>Refer to the Venn diagram for the pictorial representation.</em>

Let x represent the number of clients for annuities only,

 Then number of clients for life insurance only = x+45

Number of clients for annuities and mutual funds only = 93-16 = 77

Number of clients for life assurance and mutual funds only = 98-16 =82

Number of clients for mutual funds only = 220 -(77+16+82) =45

from the question 290 own only one type of investment.

x+x+45+45 =290

2x+90=290

2x=290-90

2x=200

x=\frac{200}{2}

x=100.

clients for annuities only = 100

clients for Life insurance only =x+45= 100+45=145

228 clients own annuities,

number of clients that own annuities and life assurance only = 228-(100+77+16)

=228-193

=35

Total number of clients = sum of all the spaces in the Venn diagram.

= 100+77+16+35+45+82+145

=500 clients

You might be interested in
Good evening, I am taking an Algebra class for the first time after 50 years, and can not remember how to find the point-slope f
Olin [163]
m=-1/5p x 10.4
m=-1/5p x 52/5
m=-52/25p

8 0
3 years ago
How are your finances connected to your beliefs? Own words
Liula [17]

Answer:

Due to religion you may be obligated to donate 10% or something of that matter.

Step-by-step explanation:

7 0
2 years ago
Please help with this question
goldfiish [28.3K]
Second answer box, try that
3 0
3 years ago
Who can help me asap​
Masja [62]

Answer:

<h2>10/16=5/8 </h2>

<h3>Option C is correct.....</h3>
4 0
3 years ago
Read 2 more answers
Here’s a graph of a linear function. Write the equation that describes that function. (Zoom in if blurry)
Andru [333]

Answer:

y = 1/3x - 1

Step-by-step explanation:

This is because the slope is rise over run. The slope is 1/3 and the y-intercept is -1

Hope this helps

8 0
3 years ago
Read 2 more answers
Other questions:
  • The total length of the stage is 76 feet. If the trap doors are centered across the stage, what is the distance from the left si
    12·1 answer
  • Convert x = 4 to polar form
    15·1 answer
  • Que son numeros racionales y que son numeros irracionales
    6·1 answer
  • Katy is walking toward a bridge. See full question below
    12·2 answers
  • Solve the system of equations.<br> 2x + 2y + 3z = 3<br> 6x + 3y + 37 = 3<br> 2x + 5y + z = 6
    7·1 answer
  • What is x? -2.5x- 2=18​
    14·1 answer
  • A company purchased​ 10,000 pairs of​ men's slacks for ​$19.36 per pair and marked them up $22.33 What was the selling price of
    10·1 answer
  • X+5y=5 3x-5y=3 Necesito ayuda, procedimiento para resolverlos y maneras distintas de resolverlos. Denuncio a quien venga por los
    8·1 answer
  • Question 9 of 10 What is the approximate value of x in the diagram below? (Hint: You will need to use one of the trigonometric r
    12·1 answer
  • Find y.<br>Help me please:))​
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!