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
sasho [114]
3 years ago
15

Paul has $30,000 to invest. His intent is to earn 15% interest on his investment. He can invest part of his money at 8% interest

and part at 18% interest. How much does Paul eed to invest in each option to make a total 15% return on his $30,000?
A) 6% interest
B) 15% interest
Mathematics
1 answer:
jeka943 years ago
6 0

Answer:

Amount invested at 8% is $9000 and amount invested at 18% is $21000.

Step-by-step explanation:

Let amount invested at 8% be x.

Let amount invested at 18% be y.

We get the 1st equation as:

x+y=30000       ........(1)

We get the second equation as:

0.08x+0.18(y)=0.15\times30000

=> 0.08x+0.18y=4500

or getting rid of the decimal by multiplying by 100 on both sides.

8x+18y=450000          ........(2)

Multiplying (1) by 8 and subtracting from (2) we get

10y=210000  

So, y = 21000

And x+21000=30000

x = 30000-21000

So, x = 9000

Therefore, amount invested at 8% is $9000 and amount invested at 18% is $21000.

You might be interested in
If the end points of the diameter of a circle at (8,6) and (2,0), what is the standard form equation of the circle
pychu [463]
The answer is... y=x-2
have a great day!!!
8 0
3 years ago
one cabinet measures 3 feet by 2.5 feet by 5 feet. a second measures 4 feet by 3.5 feet by 4.5 which volume is greater explain
prisoha [69]
First you multiply 3 by 2.5 by 5 which should give you 37.5. For the other one you do the same but you multiply 4 by 3.5 by 4.5, it would be 63.So the second one has more volume
3 0
3 years ago
PLEASE HELP WILL MARK BRANIEST IF RIGHT
GREYUIT [131]
She a runner she a track star
7 0
2 years ago
WILL GIVE BRAINLET !!!<br> 2 1/12 + 4/12 ( show how u her the answer )
spin [16.1K]

Answer:

2 5/12

Step-by-step explanation:

you can combine two fractions if they have the same denominator (bottom number) by adding the numerators (top numbers) and keeping the bottom number the same.

1/12+4/12 is the same as 1+4 you just put the sum over 12:

2 1/12+4/12= 2 5/12

it can also be written as 29/12

8 0
3 years ago
The brand manager for a brand of toothpaste must plan a campaign designed to increase brand recognition. He wants to first deter
VMariaS [17]

Answer:

He must survey 123 adults.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

Assume that a recent survey suggests that about 87​% of adults have heard of the brand.

This means that \pi = 0.87

90% confidence level

So \alpha = 0.1, z is the value of Z that has a p-value of 1 - \frac{0.1}{2} = 0.95, so Z = 1.645.

How many adults must he survey in order to be 90​% confident that his estimate is within five percentage points of the true population​ percentage?

This is n for which M = 0.05. So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.05 = 1.645\sqrt{\frac{0.87*0.13}{n}}

0.05\sqrt{n} = 1.645\sqrt{0.87*0.13}

\sqrt{n} = \frac{1.645\sqrt{0.87*0.13}}{0.05}

(\sqrt{n})^2 = (\frac{1.645\sqrt{0.87*0.13}}{0.05})^2

n = 122.4

Rounding up:

He must survey 123 adults.

6 0
2 years ago
Other questions:
  • An experiment consists of flipping a single coin followed by rolling a six-sided cube (a die).
    13·2 answers
  • Please help ASAP! I will mark Brainliest! Please READ the question THEN answer CORRECTLY! No guessing!
    7·2 answers
  • Which expression have a value of 2/3
    7·1 answer
  • Morty buys and sells computer parts
    7·1 answer
  • X 1 2 3 4 5 Y 1 3 5 7 9
    6·1 answer
  • The mean temperature for the first 7 days in January was 6 °C.
    9·1 answer
  • What is the image point of (3,8) after a translation right 4 units and up 1 unit?
    13·2 answers
  • A Statistics class has a test average of 87 with a standard deviation of 2.1. Find the z-score that corresponds to Kate's test s
    11·1 answer
  • 729000000+0.00029629629
    14·2 answers
  • my teacher would like you to solve this using fraction ex:(345/x=727/2355) (just a heads up!!) please help :)​
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!