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bixtya [17]
3 years ago
10

Find the time required for an investment of 5000 to grow to 8500 dollars at an interest rate of 7.5% per year, compounded quarte

rly.
t= ______ years
Mathematics
1 answer:
Korvikt [17]3 years ago
5 0

Answer:

Step-by-step exlanation:

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A rectangular plot of land is to be enclosed by a fence. One side is along a river, and does not need to be enclosed. If the tot
Bad White [126]

Answer:

Width 150 meters.

Length = 350 meters.

Step-by-step explanation:

Let us assume the  width of  the fence = k meters

So, both sides = k + k = 2k meters

Also, the TOTAL fencing length = 600 m

So, the one side length of the fence = (600 - 2 k) meters

AREA = LENGTH x WIDTH

⇒ A(k)  = (600 - 2k) (k)

or, A =  -2k² + 600 k

The above equation is of the form: ax² +bx +  C

Here: a  = - 2 , b = 600 and C = 0

As a< 0, the parabola opens DOWNWARDS.

Here, x value is given as:  x = \frac{-b}{2a}

Solving for the value of k similarly, we get:

k = \frac{-b}{2a}  = \frac{600}{2(-2)}  = 150

Thus the desired width = k = 150 meters

So, the desired dimensions of the plot  is width 150 meters.

And length = 650 - 2k = 650 - 300 = 350 meters.

5 0
2 years ago
Pls help with this problem if u do thx &lt;3
Vitek1552 [10]
<h3>2 Answers: Choice B and Choice D</h3>

======================================

Work Shown:

c = price of coat before discount

0.33c = discount = amount you save

c - 0.33c = original price minus discount = final price

c - 0.33c = 1c - 0.33c = (1-0.33)c = 0.67c = final price

In short, c - 0.33c = 0.67c

They are two ways of expressing the same thing.

You can think of it like saying 100% - 33% = 67%

If you save 33%, then you still have to pay the remaining 67% of the original cost.

-------------

Example:

Let's say the coat is $100 before the discount

c = 100

0.33*c = 0.33*100 = 33 dollars is how much you save

c - 0.33c = 100 - 33 = 67 dollars is the final price

0.67c = 0.67*100 = 67 matches with the previous figure above

8 0
2 years ago
When solved for x, which inequality represents the number line?
ikadub [295]

Answer:

x<-3

The value of x is found in all the numbers that are less than - 3 or all the numbers from - 3 to negative infinity

Please note: - 3 is not included in those numbers

4 0
2 years ago
What is the total price of a $45.79 item when a 7% taxe is added
meriva

Answer:

$42.58

Step-by-step explanation:

You would multiply the price of the item (45.79) by the percentage as a decimal (0.07) and subtract the product.

in this case:

45.79x0.07 = 3.205 (rounded 3.21)

45.79-3.21 = 42.58

6 0
2 years ago
2/3 + 1/5x = 5/6 what is x
tamaranim1 [39]

Answer:

x = 5/6

Step-by-step explanation:

Solve for  x  by simplifying both sides of the equation, then isolating the variable.

6 0
3 years ago
Read 2 more answers
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