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prohojiy [21]
1 year ago
5

A total of ​$24,000 is to be invested in stocks and bonds. If the amount invested in bonds is three times that invested in​ stoc

ks, how much is invested in each​ category?
Mathematics
1 answer:
Ilya [14]1 year ago
3 0

Answer:

  • bonds: $18,000
  • stocks: $6,000

Step-by-step explanation:

You have a total of $24,000 invested in stocks and bonds in the ratio 1 : 3. You want to know the amount invested in each category.

<h3>Ratio</h3>

Recognizing that the total number of ratio units is 1+3 = 4, and that total represents $24,000, we see that each ratio unit represents $24,000/4 = $6,000.

Multiplying the ratio by $6,000, we see the investment amounts are ...

  stocks : bonds = 1 : 3 = $6,000 : $18,000

$6,000 is invested in stocks; $18,000 is invested in bonds.

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In algebra how do i convert y-7=-2/3(x+1) into standard form and what would it be?
Art [367]

Answer:

C

Step-by-step explanation:

Where, if at all possible,

A

,

B

, and

C

are integers, and A is non-negative, and, A, B, and C have no common factors other than 1

8 0
3 years ago
Why is it helpful to write a number as a product of primes?
exis [7]
Im so sorry but i am not into that:(

4 0
3 years ago
Which of the following is an equation of the line that passes through the point (5/3,-6) and has a slope of -3/4
ratelena [41]

Line through (a,b) with slope m is

y - b = m(x -a)

Here that's line through (a,b)=(5/3, -7) with slope m=-3/4

y - -7 = (-3/4) (x - 5/3)

Solve for y,

y + 28/4 = (-3/4) x + 5/4

y = (-3/4) x - 23/4

Look at the choices.

Answer: D

6 0
3 years ago
Which expressions are equivalent to the one below? Check all that apply. log 2-log 6 A.log(2)+log(1/6) B.log 2 C.log 3 D.log(1/3
hjlf

Answer:option D is correct Log(1/3)

Step-by-step explanation:

Log2-Log6

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3 0
3 years ago
Which option is the best. Use math to support ur answer.
snow_tiger [21]

Answer:

The option A has the cheapest price of the liter, so it is the better buy.

Step-by-step explanation:

The best buy is going to be the one with the lowest liter price.

The liter price of each option can be found by a rule of three problem:

Rule of three problem:

In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.

When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too. In this case, the rule of three is a cross multiplication.

When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease. In this case, the rule of three is a line multiplication.

For each option, in this problem, the measures are:

- The number of liters bought

- The total cost

As the number of liters bought increases, so will the total cost. It means that the relationship between the measures is direct.

Option A:

2 liters - $1.29

1 liter - x

2x = 1.29

x = \frac{1.29}{2}

x = 0.645

In option A, each liter costs $0.645

Option B

A six pack of half a liter was bought. So in all, 3 liters were bought.

3 liters - $2.99

1 liter - x

3x = 2.99

x = \frac{2.99}{3}

x = $0.997

In option B, each liter costs $0.997

Option C

A 12 pack of half a 0.35 liter was bought. So in all, 4.2 liters were bought

4.2 liters - $3.50

1 liter - x

4.2x = 3.50

x = \frac{3.5}{4.2}

x = $0.8333

In option C, each liter costs $0.8333

The option A has the cheapest price of the liter, so it is the better buy.

7 0
3 years ago
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