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Ivahew [28]
3 years ago
6

Garrett has many annuity that pays $2,460 at the beginning of each year. If the economy grows at a rate of 2.35% semiannually, w

hat is the value of the annuity if he received it in a lump sum now rather than over a period of nine years?
Mathematics
1 answer:
mezya [45]3 years ago
7 0
FV value of the amount using future value annuity will be:
FV=P[(1+r)^n-1]/r
FV=2460[(1+0.01175)^18-1]/(0.01175)
FV=48,992.23

The present value of this amount will be:
PV=pe^(-rt)
PV=48992.23e^(-0.0235*9)
PV=39,652.81
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Given:  m∠p =47BD∥AC <br> What is the m∠n?<br><br> Put only the number. Do not label your answer.
sp2606 [1]

Answer: 47\°

Step-by-step explanation:

You need to analize the information provided in the exercise.

Observe the given figure.

You know that the line AC and and the line BD are parallel and they are cut by a transversal.

By definition, the pair of angles created by this intersection and are located inside the parallel lines and on opposite sides of the transversal, are called "Alternate Interior Angles".

Alternate Interior Angles are congruent, which means that they have equal measure.

Knowing this, you can identify that the angle "p" and the angle "n" are  Alternate Interior Angles, therefore:

m\angle p=m\angle n=47\°

6 0
3 years ago
Can someone help me out
disa [49]

Answer:

34

Step-by-step explanation:

Perimeter,

2×(8+5+4)

= 34 units

Answered by GAUTHMATH

5 0
3 years ago
Angle (&lt;) E and &lt;F are vertical angles. If m&lt;E = 17x+1 and m&lt;F =20x-14, find m&lt;F.
ELEN [110]

The vertical angles theorem states that vertical angles are congruent to each other. Since angles E and F are vertical angles, this means you can make them equal to each other in an equation.

m∠E = m∠F

17x + 1 = 20x - 14

Subtract 20x from both sides.

-3x + 1 = -14

Subtract 1 from both sides.

-3x = -15

Divide both sides by -3.

x = 5

Substitute 5 for x in m∠F (20x - 14).

20(5) - 14 = 86

m∠F = 86°

5 0
3 years ago
First correct answer gets brainliest
kotegsom [21]

Answer:

240

Step-by-step explanation:

The rectangles area is 200 plus what the Triangles are which is 40. A=bxh/2

6 0
3 years ago
Read 2 more answers
The sum of two numbers is 12 The sum of the squares of the two numbers is 80. What are the two numbers?
defon

Answer:

4 and 8

Step-by-step explanation:

The square of 4 is 16 and the square of 8 is 64.

16 + 64 = 80

4 0
4 years ago
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