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Nana76 [90]
4 years ago
8

Find the balance in an account with $4,250 principal earning 3% interest compounded quarterly after 12 years. Round your answer

to the nearest hundredth.
Mathematics
1 answer:
Marat540 [252]4 years ago
3 0
X = principle ( 1 + rate/compound rate) ^ years

x = 4250[1+(0.3/4)]^12
x = 4250(1+0.075)^12
x = 4250(1.075)^12
x = 4250(2.38178)
x = $10,122.23
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Given the ratio of 8 ounces to 1 cup, how many ounces are in 4 cups?
Mrrafil [7]

Answer: 8/1 = 32/4  (32 ounces in 4 cups)

Step-by-step explanation:

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4 years ago
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Martin sorted the bolts in his toolbox by size. They measured 3/8 inch, 1/2 inch,5/8 inch, 7/8 inch, and 1 1/4 inches . What is
gizmo_the_mogwai [7]

Answer:

Length between the longest bolt and the shortest bolt is:

2.375 inch

If we laid one of each size bolt end to end , then the length of  row of bolts is:

5.125 inch

Step-by-step explanation:

We are given that:

Martin sorted the bolts in his toolbox by size.

They measured 3/8 inch, 1/2 inch,5/8 inch, 7/8 inch, and 1 1/4 inches

longest bolt=  11/4 inches    shortest bolt=3/8 inch

Difference between longest and shortest bolt=  \dfrac{11}{4} - \dfrac{3}{8}\\ \\=\dfrac{22-3}{8}\\ \\=\dfrac{19}{8}\\ \\= 2.375

Now, if we lay one of each size bolt end to end then, length of row will be:

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=41/8

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5 0
3 years ago
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A gardener has 140 feet of fencing to put around a rectangular vegetable garden. The function A(w)= 70w - w^2 gives the garden's
White raven [17]

The largest area that can be enclosed will be that of a square (140 ft)/4 = 35 ft on a side. Such a square has an area of (35 ft)² = 1225 ft², not enough for the garden to be 1300 ft². This tells us the solution to the equation you're being asked to write is non-real.

_____

Putting the given numbers in the area equation, you have

... 1300 = 70w -w²

Multiplying by -1 and completing the square, we have

... w² -70w +35² = -1300 +35²

... (w -35)² = 1225 -1300 = -75

Taking the square root shows us the solution is non-real.

... w - 35 = ±√(-75) = ±5i√3

... w = 35 ± 5i√3 . . . . . . . . . after adding 35. These are complex solutions.

4 0
3 years ago
The formula for converting the length from meters to centimeters is given as M = . Rewrite the following equation so that C is a
MAVERICK [17]
1 meter is equal to 100 centimeters so half of one meter is 0.5 so half of one centimeter is 50 centimeters.
4 0
3 years ago
Each figure shows a triangle with one of its angle bisectors.
OLga [1]

Answer:

m<2 is 17 degrees

Step-by-step explanation:

We can see that the angle at the vertex E was bisected to give two different but equal angles

Thus, we have it that;

2x + 7 = 4x-3

4x-2x = 7+ 3

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x = 10/2

x = 5

so m<2 = 4(5) -3 = 20-3 = 17 degrees

8 0
3 years ago
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