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
Nookie1986 [14]
2 years ago
5

A trust fund worth $25,000 is invested in two different portfolios, this year, one portfolio is expected to earn 5.25% interest

and the other is expected to earn 4%. Plans are for the total interest on the fund to be $1,150 in one year. How much money should be invested at each rate
Mathematics
2 answers:
Daniel [21]2 years ago
8 0

Answer:

Step-by-step explanation:

Let x be the investment at 5.25% and y at 4%

Then we have

x+y =25000\\5.25x+4y = 115000

We have to solve this system to get x and y

Multiply I equation by 4

100000=4x+4y\\115000=5.25x+4y\\-----------------------------\\15000 = 1.25x\\x = 12000\\y =25000-12000 = 13000

12000 should be invested in 5.25% and 13000 in 4% interest.

OLEGan [10]2 years ago
6 0

Answer:

The amount of money that should be invested at the rate of 5.25% is $12,000 and the amount money that should be invested at the rate of 4% is $13,000

Step-by-step explanation:

we know that

The simple interest formula is equal to

I=P(rt)

where

I is the Final Interest Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

Let

x ------> the amount of money that should be invested at the rate of 5.25%

25,000-x -----> the amount money that should be invested at the rate of 4%

in this problem we have

t=1\ year\\ P_1=\$x\\P_2=\$(25,000-x)\\r_1=0.0525\\r_2=0.04\\I=\$1,150

substitute in the formula above

I=P_1(r_1t)+P_2(r_2t)

1,150=x(0.0525*1)+(25,000-x)(0.04*1)

Solve for x

1,150=0.0525x+1,000-0.04x

0.0525x-0.04x=1,150-1,000

0.0125x=150

x=\$12,000

|$25,000-x=\$13,000

therefore

The amount of money that should be invested at the rate of 5.25% is $12,000 and the amount money that should be invested at the rate of 4% is $13,000

You might be interested in
Which sequence shows the numbers in order from least to greatest? A. -2/3 , 1/5 , -3/4 B. 1/5 , -2/3 , -3/4 C. -3/4 , -2/3 , 1/5
Rom4ik [11]

Answer:

C. -3/4, -2/3, 1/5

Step-by-step explanation:

Just from observation, you can tell the 1/5 will be the greatest because all the other fractions are negative. Then, I converted them to decimal form to make it easier.

-2/3 = -0.6666666 (the 6 goes on forever)

-3/4 = -0.75

1/5= 0.20

Then, you put them in order.

-3/4 would be the least .

Followed by, -2/3

Finally, 1/5

7 0
3 years ago
13 POINTS IF YOU ANSWER!!!
Whitepunk [10]
H: 5 square yards is the correct answer, break the figure into squares and then multiply length by width to get area
6 0
2 years ago
I worked on the project until it was completed.
wolverine [178]
The subordinate clause would be “until is was completed”
3 0
2 years ago
Read 2 more answers
A textbook store sold a combined total of 294 history and sociology textbooks in a week. The number of history textbooks sold wa
lorasvet [3.4K]

Answer:

8

Step-by-step explanation:

8 0
2 years ago
Game Stop is selling a video game for 15% off $35 . What is the sale price ?
Murrr4er [49]
Answer: $29.75

Explanation: 1-0.15 = 0.85,
35(0.85) = 29.75
4 0
3 years ago
Read 2 more answers
Other questions:
  • Pls help me I’m struggling
    8·2 answers
  • Find the angle θ between the vectors. u = cos π 4 i + sin π 4 j v = cos π 2 i + sin π 2 j
    12·1 answer
  • ) the length of a rectangle is increasing at a rate of 8 cm/s and its width is increasing at a rate of 3cm/s. when the length is
    12·1 answer
  • Mark and Hayden won a raffle and decide to split the money using the ratio 9:8. If Hayden received $64, which of the following w
    6·1 answer
  • Kate had a sum of money,she spent 1/8 of the money on a skirt and the remaining amount on a handbag,the skirt cost $16,how much
    12·1 answer
  • What's the difference of 9.37 and 0.06?
    14·1 answer
  • Please answer correctly
    15·2 answers
  • BODY YADY YADY YADY YADY YADY YADY YADY YADY YADY YADY YADY YADY YADY YADY BODY YADY YADY YADY YADY YADY YADY YADY YADY YADY YAD
    14·2 answers
  • Pls help and hurry i will report if you answer any unnecessary answers.
    11·1 answer
  • Done the first two but i dont know how to do the mean of it
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!