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
Delvig [45]
3 years ago
8

Jamie invests part of $10,000 at 9% annual interest and the rest at 8%. If his annual income from

Mathematics
1 answer:
vazorg [7]3 years ago
6 0

Answer:

$4000

Step-by-step explanation:

Assuming a = money invested at 9%

Assuming b = money invested at 8%

then we can form am equation from the question given

1) a + b = $10000, also

0.09a + 0.08b = $860 -> multiply by 100

2) 9a + 8b = $86000

Next we try to solve both equations simultaneously. We multiply both the left hand side and the right hand side of the first equation by 8. We have

3) 8a + 8b = $80000, now we subtract 3 from 2

9a + 8b = $86000

-8a - 8b = -$80000

a = $6000.

Then, we plug this in any of the first 2 equations, to get b

9 * $6000 + 8b = $86000

$54000 + 8b = $86000

8b = $86000 - $54000

8b = $32000

b = $32000/8

b = $4000.

Therefore, he invested $4000 at 8%

You might be interested in
A lake is stocked with 1,500 young trout. If the number of the original trout alive after x years is given by the function P(x)=
musickatia [10]

The function P(x)=1500e^{-0.4x} gives the number of the original trout alive after x years. When the number of the original trout alive is 300, then

300=1500e^{-0.4x}

Solve this equation:

e^{-0.4x}=\dfrac{300}{1500},\\ \\e^{-0.4x}=\dfrac{1}{5},\\ \\-0.4x=\ln \dfrac{1}{5},\\ \\x=\dfrac{\ln \dfrac{1}{5}}{-0.4}\approx 4.024.

Answer: after 4.024 year (or 5 year if round to the whole number of years)

7 0
3 years ago
What is the answer to the following?
enyata [817]

Answer:

63

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Suatu jenis roti memerlukan 150 gram tepung dan 50 gram mentega. Roti jenis lain memerlukan 75 gram tepung dan 75 gram mentega,
Katena32 [7]
Let the one type of the bread be bread A
The second type of the bread be bread B

Let the flour be 'f' and the butter be 'b'

We need 150f + 50b for bread A and 75f + 75b for bread B

We can compare the amount of flour and bread needed for each bread and write them as ratio

FLOUR

Bread A : Bread B
150 : 75
2 : 1

We have a total of 2250gr of flour, and this amount is to be divided into the ratio of 2 parts : 1 part. There is a total of 3 parts. 

2250 ÷ 3 = 750 gr for one part then multiply back into the ratio to get

Bread A : Bread B = (2×750) : (1×750) = 1500 : 750


BUTTER

Bread A : Bread B = 50 : 75 = 2 : 3

The amount of butter available, 1250 gr is to be divided into 2 parts : 3 parts.
There are 5 parts in total

1250 ÷ 5 = 250 gr for one part, then multiply this back into the ratio 

Bread A: Bread B = (2×250) : (3×250) = 500 : 750

Hence, for bread A we need 1500 gr of flour and 500 gr of butter, and for bread B, we need 750 gr of flour and 750 gr of butter.


3 0
3 years ago
Read 2 more answers
Which of the following is equivalent to 3^4?<br> 1. 12<br> 2. 81<br> 3. 7<br> 4. 64
Anna35 [415]
I think the answer is 12 because 3 times 4 is 12
3 0
2 years ago
Read 2 more answers
Jennifer has 3 1/2 cups of jelly beans to share with 7 friends. How many cups does each person get?
kakasveta [241]
This will be  3 1/2 divided by 7 

which is 1/2 cup each.
6 0
3 years ago
Read 2 more answers
Other questions:
  • The sum of the first 6 terms of a geometric sequence is 7, 812. the common ratio is 5. what is the second term of the sequence?
    6·1 answer
  • A separable differential equation is a first-order differential equation that can be algebraically manipulated to look like:
    10·1 answer
  • IRGENT PLEASE HELP ASAP!!
    13·1 answer
  • Ratios that are equivalent to 8 : 20
    6·1 answer
  • What’s the sequence for “S,M,T,W.... What’s the next three terms ?
    6·1 answer
  • Ghani is going to use these instructions to make a fizzy drink instruction: mix 5 parts of lime juice with 3 parts of lemonade g
    7·1 answer
  • 35% off a phone = £78 how much was the phone before the discount prices?
    9·1 answer
  • Please solve for y y(a-b)=c(y+a)
    12·1 answer
  • Express 0.123123123123123.<br> as a fraction.
    8·1 answer
  • How much money will you have in 8 years if you invest $4000 at 2% compounded quarterly
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!