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
Dmitry [639]
2 years ago
5

Two investments totallng $47,500 produce an annual income of $3000. One investment ylelds 9% per year, while the other yields 6%

per year. How much is invested at each rate?​
Mathematics
1 answer:
enot [183]2 years ago
5 0

Answer:

The correct answer is "$5000".

Step-by-step explanation:

The given values are:

Two investments totaling,

= $47,500

Annual income,

= $3000

One investment yields per year,

= 9%

Other yield,

= 6%

Let,

  • The amount invested in 9% will be "x".
  • The amount invested in 6% will be "47,500-x".

Now,

⇒  0.09x+0.06(47,500-x)=3000

⇒        0.09x+2850-0.06x=3000

⇒                     0.03x+2850=3000

⇒                                0.03x=150

⇒                                       x=\frac{150}{0.03}

⇒                                       x=5000

You might be interested in
{(5,2),(-6,2),(8,4),(5,13)}
babymother [125]

Answer:

the domain is 5,-6,8,5 the range is 2,2,4,13 it is not a function

8 0
2 years ago
A caterer charges a setup fee of $50, plus $20 per person. How much will the caterer charge if 35 people attend the party, and t
tiny-mole [99]

Answer:

$650

Step-by-step explanation:

35 people x $20 per person = $700

$700 + $50 set up fee = $750 dollars total

$750 - $100 coupon = $650

3 0
3 years ago
It took the Selby family hours round -trip to drive from their house to their beach house 154 miles away . Find their average sp
seropon [69]

Step-by-step explanation:

Distance = 154 miles .

Time = 5 ½ hrs .

We know ,

Speed = s / t

v = 154 mi/ 5.5 hrs = 28 mi / hr

3 0
2 years ago
The graph of f(x)=cos(x) is transformed into a new function, g(x) , by stretching it vertically by a factor of 3 and shifting it
tresset_1 [31]

Answer:

g(x) = 3 cos (x+2)

Step-by-step explanation:

To transform functions use the following formula f(x) = a cos b(x -c) + d where:

  • a stretches the function vertically
  • b compresses or stretches it horizontally
  • c shifts the function left or right
  • d shifts the function up or down

Here a = 3 and c = 2.

So the new function is g(x) = 3 cos (x+2).

5 0
3 years ago
Jeff wants to buy tickets for a football game for his friends. The stadium is selling tickets for $7 each. The stadium requires
aniked [119]

Your answer is D){28, 42, 56, 70, 84}

To answer this question you just have to make sure the amount he pays is a multiple of 7.If you know you times table then this should be easy

Times table of 7:

7,14,21,28,35,42,49,55,63,70,77,84.

Now you just need to find an answer choice who has these numbers.Lets check it out!

A) 11 isn't a multiple of 7

B) 56 isn't a multiple of 7

C) None of these are multiples of 7 except 7 so this is also incorrect

D) This is correct because they are all multiples of 7

Hope this makes sense.

7 0
2 years ago
Other questions:
  • a school auditorium has 4 sections.Each seat takes up1/25 of a section.how many seats are in the auditorium?
    13·2 answers
  • Plz help me! Thank you soooo much
    8·2 answers
  • 179 / 9 closest estimate​
    5·2 answers
  • Help with direct variations
    10·1 answer
  • Dan earns £273 over the course of a five-day week. How much is that per day?
    9·2 answers
  • 3? Choose the THREE correct answers.
    10·1 answer
  • John ran of a mile in 8 minutes. If he continues running at that speed, how long will it take him to run one mile? A) 4 minutes
    13·1 answer
  • Simplify and answer please
    8·2 answers
  • F r e e g i v e a w a y
    14·2 answers
  • 6m + 17  is greater then or equal to 77 (HELP WILL GIVE BRAINLIST)
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!