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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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two blocks of wood are shaped as right rectangle prisms the smaller block has a length of 9 cm a width of 3 cm and a height of 7
dolphi86 [110]

Answer:

1,512 cm³

Step-by-step explanation:

The general formula for the volume of a prism is:

V= Bh, where B = the area of the base and h = height of the prism

Given the dimensions of the smaller block as 9cm x 3cm x 7cm, then the dimensions of the larger block (double the dimensions of the smaller block) must be 18cm x 6cm x 14cm.  Using these measurements:

V = (18)(6)(14) = 1,512 cm³

3 0
3 years ago
Determine what type of model best fits the given situation:
lyudmila [28]

Let value intially be = P

Then it is decreased by 20 %.

So 20% of P = \frac{20}{100} \times P = 0.2P

So after 1 year value is decreased by 0.2P

so value after 1 year will be = P - 0.2P (as its decreased so we will subtract 0.2P from original value P) = 0.8P-------------------------------------(1)

Similarly for 2nd year, this value 0.8P will again be decreased by 20 %

so 20% of 0.8P = \frac{20}{100} \times 0.8P = (0.2)(0.8P)

So after 2 years value is decreased by (0.2)(0.8P)

so value after 2 years will be = 0.8P - 0.2(0.8P)

taking 0.8P common out we get 0.8P(1-0.2)

= 0.8P(0.8)

=P(0.8)^{2}-------------------------(2)

Similarly after 3 years, this value P(0.8)^{2} will again be decreased by 20 %

so 20% of P(0.8)^{2}  \frac{20}{100} \times P(0.8)^{2} = (0.2)P(0.8)^{2}

So after 3 years value is decreased by (0.2)P(0.8)^{2}

so value after 3 years will be = P(0.8)^{2}   - (0.2)P(0.8)^{2}

taking P(0.8)^{2} common out we get P(0.8)^{2}(1-0.2)

P(0.8)^{2}(0.8)

P(0.8)^{3}-----------------------(3)

so from (1), (2), (3) we can see the following pattern

value after 1 year is P(0.8) or P(0.8)^{1}

value after 2 years is P(0.8)^{2}

value after 3 years is P(0.8)^{3}

so value after x years will be P(0.8)^{x} ( whatever is the year, that is raised to power on 0.8)

So function is best described by exponential model

y = P(0.8)^{x} where y is the value after x years

so thats the final answer

3 0
3 years ago
I'll mark the first person to answer
kobusy [5.1K]

Answer:

0.104

Step-by-step explanation:

10.40 · 0.01 = 0.104

5 0
2 years ago
Read 2 more answers
You are planning a trip to Yellowstone National Park, and know that you can save money by driving
svp [43]

Answer:

the  number of miles that you would drive to go the yellowstone is 814 miles

Step-by-step explanation:

The computation of the number of miles that you would drive to go the yellowstone is shown below:

= First leg of the journey from portland + more drives to yellow stone

= 426 miles + 388 miles

= 814 miles

Hence, the  number of miles that you would drive to go the yellowstone is 814 miles

7 0
3 years ago
If I had $500 dollars sent in the mail and then I spent 400 dollars on groceries how much will I have left.
ollegr [7]
You would have 100 dollars left
6 0
3 years ago
Read 2 more answers
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