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
PtichkaEL [24]
3 years ago
12

A man invests 10,000 dollars in two seconds in two accounts, the first yielding 4 percent annual interest and the second, 5 perc

ent. If x is invested in the first account, how much will the annual interest does the man earn on his investment?
Mathematics
1 answer:
omeli [17]3 years ago
8 0

Answer:

500-0.01X

Step-by-step explanation:

Total amount invested is X, account 1 pays 4% and account 2 pays 5%. Total invested is the summation of the two interests:

#First Investment at 4%:

I=P(1+i)^1-X, P=X, i=0.04\\\\I=X(1.04)-X\\\\=0.04X

#Interest Earned on 2nd Investment, at 5%.

I=P(1+i)^1-X, P=(10000-X), i=0.05\\\\I=(10000-X)(1.05)-(10000-X)\\\\=10500-1.05X-10000+X\\\\=500-0.05X

I_{net}=I_1+I_2\\\\=0.04X+500-0.05X\\\\=500-0.01X

Hence, the net annual investment is 500-0.01X

You might be interested in
Question is down below
mr Goodwill [35]
The correct answer would be B.
7 0
4 years ago
Read 2 more answers
The school that Jeremy goes to is selling tickets to a play. On the first day of ticket sales the school sold 8 senior citizen t
telo118 [61]

Answer:

x=$10

y=$12

Step-by-step explanation:

Step one:

given

let senior tickets be x

and child be y

8x+9y=188----1

also on the second day

x+5y=70-------2

the system of equation is

8x+9y=188-----1

x+5y=70---------2

x=70-5y, put this in 1

8(70-5y)+9y=188

560-40y+9y=188

-31y=-372

divide by -31

y=-372/-31

y=$12

put y= 12 in x+5y=70---------2

x+5(12)=70---------2

x+60=70

x=$10

4 0
3 years ago
PLEASE HELP ILL LEAVE THANKS
VikaD [51]
Divide the number of people in group that picked option 1 by all the people in group A.
152/258 =.589 so either 58.9% or 60% depending on whether or not to round
8 0
4 years ago
Read 2 more answers
Question is in the image! If you can work this out you are legendary! I'll give brainliest instantly :p
NISA [10]
Hope this helps!!
Answer: 14.13

4 0
3 years ago
Read 2 more answers
An individual who has automobile insurance from a certain company is randomly selected. Let X be the number of moving violations
grin007 [14]

Answer:

(X)      0        1          2          3         4

P(X)   0.17   0.23    0.27    0.24    0.09

F(x)    0.17    0.04    0.65    0.91      1      

Step-by-step explanation:  

Given that;

(X)      0        1          2          3         4

P(X)   0.17   0.23    0.27    0.24    0.09

cumulative distribution function can be calculated by;  be cumulatively up the value of p(x) with the values before it;

so

x      F(x)

0     P(X = 0) = 0.17

1       P(X = 0) + P(X = 1) = 0.17 + 0.23 = 0.4

2      P(X = 0) + P(X = 1) + P(X = 2) = 0.17 + 0.23 + 0.27 = 0.65

3      P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.17 + 0.23 + 0.27 + 0.24 = 0.91

4      P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.17 + 0.23 + 0.27 + 0.24 + 0.09 = 1

Therefore, cumulative distribution function f(x) is;

(X)      0        1          2          3         4

P(X)   0.17   0.23    0.27    0.24    0.09

F(x)    0.17    0.04    0.65    0.91      1      

8 0
3 years ago
Other questions:
  • 1/3(−32.48−14.02)​ Enter your answer, as a decimal to tenths, in the box
    5·1 answer
  • 2 + 2 + 9 x 19 = <br> FMOTT
    15·1 answer
  • Two bicyclists approach each other on the same road.One has a speed of 5 m/s and the other has a speed of 8 m/s.They are 500 met
    14·1 answer
  • Mount McKinley, the highest mountain in North
    15·1 answer
  • Select the correct answer from the drop-down menu. There are two numbers. One number is twice the other number. The difference o
    6·1 answer
  • Please help me with this
    5·2 answers
  • The quantity is a rate in formula d=rt.​
    10·1 answer
  • You plant a garden in the shape of a triangle as shown in the figure. What is the perimeter of the garden? Find the values of x
    12·1 answer
  • Mandy is thinking of a prime number that is greater than 41 and less than 47 .what is mandys number.
    8·2 answers
  • Say that the economy is in an expansion, causing wages to increase by six percent. if you previously received a monthly salary o
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!