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Alex17521 [72]
2 years ago
15

What is the present value of a $1,600 payment made in five years when the discount rate is 10 percent?

Mathematics
1 answer:
Anvisha [2.4K]2 years ago
7 0

Answer:

Present value is $993.47

Step-by-step explanation:

PV = present value

Fv = future value = $1,600

Discount (i) = 10%

N = Years = 5

The formula for this is given by:

PV = FV/(1 + i)^N

PV = $1600/(1 + 0.10)^5

PV = $1600/1.1^5

PV = $1600/1.61051

PV = $993.47

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The coordinates of point 7 are given. The midpoint of ST is (5. - 8). Find the coordinates of point S.
Mamont248 [21]

Answer:

S(0, 2)

Step-by-step explanation:

Midpoint Formula: (\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )

Step 1: Plug in known variables

5 = (10 + x)/2

-8 = (18 + y)/2

Step 2: Solve

10 = 10 + x

x = 0

-16 = 18 + y

y = 2

Step 3: Write coordinates

(0, 2)

4 0
3 years ago
What is the length of side BC of the triangle? Enter your answer in the box. units Triangle A B C with horizontal side B C. Vert
harina [27]

Answer:

The length of BC = 28 units

Step-by-step explanation:

* In triangle ABC

∵ Angles B and C are congruent

∴ m∠B = m∠C

* In any triangle if two angles are equal in measure, then the triangle is isosceles means the two sides which opposite to the congruent angles are equal in length

∴ AB = AC

∵ AB = 4x - 7

∵ AC = 2x + 7

∴ 4x - 7 = 2x + 7 ⇒ collect like terms

∴ 4x - 2x = 7 + 7

∴ 2x = 14 ⇒ divide both sides by 2

∴ x = 14 ÷ 2 = 7

* Now we can find the length of BC

∵ The length of BC = 4x ⇒ substitute the value of x

∴ The length of BC = 4 × 7 = 28 units

6 0
3 years ago
A carpenter is building a rectangular room with a fixed perimeter of 440 ft. what are the dimensions of the largest room that ca
olga55 [171]
The biggest it can be is 110 by 110, and the area would be 2,100 ft.

Hope this helps!
4 0
3 years ago
Q is the midpoint of GH¯¯¯¯¯¯ , GQ=2x+3, and GH=5x−5 . What is the length of GQ¯¯¯¯¯ ?
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The length of GQ is 2 1/3 (two and one-third) where x equals -2/3 (negative two-thirds).
4 0
2 years ago
Are the equations 3x= -9 and 4x= -12 equivalent
Hitman42 [59]
Yes they are equivalent. You get -3 when you try solving the actual equation.
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3 years ago
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