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
nlexa [21]
3 years ago
12

Anita's sister had $6000 to invest. She invested part of this sum at 4% and the other part at 6%. If the annual return on the 6%

investment is $15 more than the annual return on the 4% investment, find how much is invested at 6% rate.
Mathematics
1 answer:
Maru [420]3 years ago
8 0

Answer:

2550

Step-by-step explanation:

I'm assuming the interest is annual.

so this is breaking the 6000 into two parts, I am going to call them A and B.  i will say A is invsted at 4% and B is invested at 6%

It then tells us the amount of interest gaied from B is $15 more than the interest gained from A.  We basically use a system of equations.

A + B = 6000

.06B - .04A = 15

Let me know if you don't see how I got these equations.  I will go ahead and solve.

A + B = 6000

Gonna solve for A so I can plug it into the other eqaution and solve for B, which is what the question is asking for.  You can get both either way though.

A = 6000 - B

Plug this into the other equation.

.06B - .04A = 15

.06B - .04(6000 - B) = 15

.06B - 240 + .04B = 15

.1B = 255

B = 2550

this means A is 3450.  You can check by seeing what theinterest is for each.  

2550*.06 = 153

3450*.04 = 138

153 is 15 more than 138 so everything checks out.  

You might be interested in
In ΔOPQ, the measure of ∠Q=90°, PO = 97, OQ = 65, and QP = 72. What is the value of the tangent of ∠O to the nearest hundredth?
garri49 [273]

Answer: 1.11

Step-by-step explanation:

with tangent I guess A+B=C, B goes over A. But like I bet you're wondering how will yk which is a or b? idk either, but I tried my luck and got it right. So yk how C (hypotenuse) is always the biggest number? Well whichever number is bigger (A or B) the bigger number will go over the smaller one and then you round it to the nearest hundredth. I'm not good at rounding, so I used Math//way to get it for me. So it could be like , 12+36=40 (just picking random numbers), 36 will go over 12. And then you round it. I hope thus makes sense, it's 5:40AM rn. I should be sleep  because I have a job interview at 3PM today.

3 0
3 years ago
Toms tunes: $60 per hour. Sabrina’s sounds: $100 set up fee plus $40 per hour DJ Derek: $175 set up fee plus $30 per hours. If t
baherus [9]

toms tunes: 7.5 hours

sabrinas sounds:8.75 hours

dj derek:9.167 hours


5 0
4 years ago
Read 2 more answers
Someone plz help me with this
natali 33 [55]

Answer:

Step-by-step explanation:

7 0
3 years ago
Please help asap thanks
Murljashka [212]
Shahs. Dickens icjcns a icjcns icjcns. Did d
6 0
3 years ago
PLEASE HELP ME IV'E BEEN TRYING TO GET HELP BUT NOBODY WILL HELP ME PLEASE HELP "A phone sells for $137.99. It is now on sale fo
Stella [2.4K]

Answer:

$122.99

Step by Step explanation

7 0
3 years ago
Other questions:
  • Below is a diagram of the base of gazebo hunter is building in his backyard
    15·1 answer
  • A population of n ????20 scores has a mean of???????? 15. one score in the population is changed from x ???? 8 to x ???? 28. wha
    15·1 answer
  • So i comeplete a table right ,
    5·1 answer
  • 200 × 65 inches and feet​
    5·2 answers
  • Evaluate the expression when y=-2<br><br> -8y^2=
    10·2 answers
  • Students are curious about what happens to precipitation as it falls to Earth. They model a rain storm occurring on the side of
    12·1 answer
  • What is the degree of the following polynomial? 9 - x ^ 2 + 2x ^ 5 - 7x
    12·1 answer
  • How many feet is in 3 miles 100 feet
    9·1 answer
  • Subtract 3x + 2 from 8x + 9.​
    15·1 answer
  • Whats the area of 3/4 x 2 1/2 in simplest form
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!