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weqwewe [10]
3 years ago
11

Find the present value of the annuity.

Mathematics
1 answer:
shusha [124]3 years ago
6 0

Pv=4,725×((1−(1+0.10÷2)^(−2
×15))÷(0.10÷2))=72,634.83
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Chase has 3 gallons of a solution that is 30% antifeeze that he wants to use to winterize his car. How much pure antifreeze shou
makvit [3.9K]

Let  x gallons be the amount of pure antifreeze that should be added to the 30% solution to produce a solution that is 65% antifreeze. Then the total amount of antifreeze solution will be x+3 gallons.

There are 30% of pure antifreeze in 3 gallons of solution, then

3 gallons - 100%,

a gallons - 30%,

where a gallons is the amount of pure antifreeze in given solution.

Mathematically,

\dfrac{3}{a}=\dfrac{100}{30},\\ \\a=\dfrac{3\cdot 30}{100}=0.9\ gallons.

Now in new solution there will be x+0.9 gallons of pure antefreeze.

x+3 gallons - 100%,

x+0.9 - 65%

or

\dfrac{x+3}{x+0.9}=\dfrac{100}{65},\\ \\65(x+3)=100(x+0.9),\\ \\65x+195=100x+90,\\ \\35x=105,\\ \\x=3\ gallons.

Answer: he should add 3 gallons of pure antifreeze.

8 0
3 years ago
A shop keeper has offered an item for sale. Its label price is Rs . It is not sold in one-month period and after one month its l
BigorU [14]

Answer:

x = Rs 20,833.33

the value of x is Rs 20,833.33

Step-by-step explanation:

Let x,y and z represent the price of the item initially, after one month and after two months respectively.

Given that;

after one month its label price is reduced by 20%

y = x - 20% of x

y = x - 0.20x

y = 0.80x ........1

after 2 months its reduced price is further reduced by 10% and then sold it for Rs 15000.

z = y - 10% of y

z = y - 0.10y

z = 0.90y ........2

Substituting equation 1 into 2;

z = 0.90(0.80x)

z = 0.72x

Also z = Rs 15000

So,

z = 0.72x = Rs 15000

0.72x = Rs 15000

x = Rs 15000/0.72

x = Rs 20833.33333333

x = Rs 20,833.33

the value of x is Rs 20,833.33

5 0
3 years ago
Twellve concert tickets cost $450 what is the cost of 3 tickets to the same concert
Scrat [10]
1) $450/12=$37.50
2)$37.50x3=$112.50

The answer is: $112.50

I hope this helps
4 0
3 years ago
Can you guys please help me!!
Karo-lina-s [1.5K]
32 it’s as simple as 4(5) + 12
7 0
2 years ago
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This looks blury can you get it a little more clear or  I think it is just me!

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