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Schach [20]
3 years ago
7

If $1500 is invested at an interest rate of 4.75% per year, compounded quarterly, find the value of the investment after the giv

en
number of years.
Mathematics
1 answer:
Burka [1]3 years ago
7 0
After n years the amount = 1500(1 + (0.0475/4)^4n
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If a container is being filled at 5 pints per minute, how many gallons per second is this?
Kruka [31]
.010416666666. Use conversion factors to solve. 

6 0
3 years ago
A environmental initiative has the goal of saving at least 25 2525 million hectares of rainforest through both planting trees an
Anestetic [448]

Answer:

The possible way for the initiative to accomplish its goal without exceeding its budget is use 12.5 hectares for planting trees and 12.5 hectares by purchasing land.

Step-by-step explanation:

Let the variable <em>X</em> represent the amount of land used for planting trees and <em>Y</em> represent the amount of land purchased.

The goal of the environmental initiative is to save at least 25 million hectares of rain forest.

That is:

<em>X</em> + <em>Y</em> = 25....(i)

Now it is provided that:

  • The cost of planting trees is $ 400 per hectare.
  • The cost of purchasing land is $ 260 per hectare.
  • The initiative has a budget of $8,250 million.

Using the above data it can be said that:

400<em>X</em> + 260<em>Y</em> = 8250....(ii)

Solve equations (i) and (ii) simultaneously.

\ \ \ \ x+y=25]\times 260\\400x+260y=8250\\\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\\\\\Rightarrow\\\\260x+260y=6500\\400x+260y=8250\\(-)\_\_\_\_\_\ (-)\_\_\_\_(-)\_\_\_\\\\\Rightarrow\\\\-140x=-1750\\\\x=\frac{1750}{140}\\\\x=12.5

Then the value of <em>y</em> is:

x+y=25\\y=25-x\\y=25-12.5\\y=12.5

Thus, the possible way for the initiative to accomplish its goal without exceeding its budget is use 12.5 hectares for planting trees and 12.5 hectares for purchasing land.

4 0
3 years ago
draw a model to represent the problem. 2/3 divided into 1/3 size pieces. how many 1/3 pieces will be in 2/3?
Hunter-Best [27]
That shows the answer of how to do it 

6 0
3 years ago
Roopa takes 8
Molodets [167]

Answer:

Since them taken same time so the fraction is 1/1

5 0
3 years ago
Sum of three numbers in an as is 33 and the sum of thier cubes is 5049.find the numbers
Alex73 [517]

Sum of three numbers is 33 and  sum of their cubes is 5049 then three numbers are 7,11,15 or 15,11,7.

As given,

Let a-d, a, a +d be three numbers

Sum =33

⇒a-d + a +a +d =33

⇒ a =11

Sum of cubes= 5049

⇒ (a-d)³ + a +(a +d)³ =5049

⇒ a³ -d³ -3a²d +3ad² + a³ +a³ +d³ +3a²d +3ad² =5049

⇒3a³ + 6ad² = 5049

⇒ d=± 4

Therefore, sum of three numbers is 33 and  sum of their cubes is 5049 then three numbers are 7,11,15 or 15,11,7.

Learn more about numbers here

brainly.com/question/17429689

#SPJ4

6 0
1 year ago
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