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
mojhsa [17]
3 years ago
9

Phil has $20,000, part of which he invests at 8% interest and the rest at 6%. If the total income from the two investments was $

1460, how much did he invest at 6%?
Mathematics
1 answer:
Salsk061 [2.6K]3 years ago
8 0

Answer: 7000

Step-by-step explanation:

Let the amount invested in 8% account be P1 and the amount invested in 6% account be P2

. If the total amount invested is $20,000 then:

P1+P2=20,000. (Eq. 1)

The interest earned in one year from the 8% account is:

I1=0.08P1

and the interest earned in one year from the 6% account is:

I2=0.06P2

If the total interest earned is $1460, then:

I1+I2=1460

0.08P1+0.06P2=1460

(Eq. 2) From Eq. 1 :

P1=20000−P2

Substituting this into Eq. 2:

0.08 (20000−P2) + 0.06P2 = 1460

1600 − 0.08P2 + 0.06P2 = 1460

0.02P2 = 140

P2 = 140 / 0.02

P2 = 7000

Hence, he invested $7000 at the rate of 6%.

You might be interested in
What is 2log5(5x^3)+(1/3)log5((x^2)+6) written as a single logarithm?
joja [24]
Assuming 5 is the base. I'm going to leave that out for now.

2log(5x^3) + (1/3)log(x^2+6)

power rule
log(5^2 x^3*2) + log((x^2 + 6)^(1/3))

log(25x^6) + log((x^2 + 6)^(1/3))

quotient rule
log(25x^6 / (x^2 + 6)^(1/3))
4 0
3 years ago
Read 2 more answers
kathy uses a 1/2 cup of milk with every bowl of her favorite cereal if there are only 3 3/5 cups of milk left, then how many bow
Murrr4er [49]

Taking a quotient, we will see that she can make 7 bowls of cereal (and some leftover milk).

<h3>How many bowls of cereal would kathy have?</h3>

We know that for each bowl, she needs 1/2 cups of milk.

And we also know that she has a total of (3 + 3/5) cups of milk.

To know how many bowls she can make, we need to take the quotient between the total that she has and the amount that she needs for each bowl:

(3 + 3/5)/(1/2)

We can rewrite the total as:

3 + 3/5 = 15/5 + 3/5 = 18/5

Then the quotient becomes:

(18/5)/(1/2) = (18/5)*2 = 36/5 = 35/5 + 1/5 = 7 + 1/5

So she can make 7 bowls of cereal (and some leftover milk).

If you want to learn more about quotients:

brainly.com/question/629998

#SPJ1

6 0
2 years ago
there were 629,000 women motorcyclists, up from 447,000 eight years ago. what's the percentage of increase?
Mila [183]
This is the formula for percentage increase and decrease

6 0
4 years ago
Please help me... :(
mr_godi [17]

Answer:

6

Step-by-step explanation:

Think of it as a ratio. The recipe calls for 2:3. If Jason used 4, then you need to match the other side.

4/2=2

So you need to multiply 3 by 2 to find the match.

3x2=6

The ratio is 4:6, so Jason uses 6 teaspoons of baking powder.

-hope it helps

4 0
3 years ago
The amount, A, in milligrams, of radioactive material remaining in a container can be modeled by the exponential function A(t) =
lisov135 [29]

Answer: 4 years


Step-by-step explanation:

A(0) has to be amount at start. Assume that's 5mg

Then A(t) = 5×(0.5)^(0.25t) = 5×2^(-t/4),

(also known as 5 exp(-λ t) with λ = ln(2)/4, incidentally).


We need to such that A(t) = 2.5mg, or 2^(-t/4) is 1/2, which happens when -t/4 is -1, or t is 4.



4 0
4 years ago
Other questions:
  • What parcent of line segment AB is equal to 50% of line segmengCD
    6·1 answer
  • DO NOT SCROLL PASS!!!!<br> PLEASE HELP AND EXPLAIN SO I CAN GET A UNDERSTANDING.
    13·1 answer
  • Circle o has circumference of 88pi cm. <br> what is the length of the radius of the circle ?
    6·2 answers
  • According to this equation, what is the value of x at t=0? express your answer in terms of the variables a, b, m, and k.
    8·1 answer
  • Find an equation of the line with x-intercept 8 and y-intercept 4
    10·2 answers
  • yasmine is having a birthday party with snacks and activities for her guests. At one, five people are sharing three quarters of
    6·1 answer
  • Please answer this question
    10·1 answer
  • Watch one piece
    7·1 answer
  • Easy points here pls help tho lol
    11·1 answer
  • Alyssa is a waitress at a restaurant. Each day she works, Alyssa will make a
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!