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erastovalidia [21]
3 years ago
10

Susan has calculated that she needs $58000 her first year of retirement to maintain her standard of living. She expects to recei

ve
$1000 per month from her employer defined-benefit pension and $1500 per month from Social Security. What is her annual
retirement income shortfall?

answer options:
28,000
40,000
58,000
150,000
Mathematics
1 answer:
BartSMP [9]3 years ago
8 0

Answer:

$28000

Step-by-step explanation:

12×1000 + 12×1500 = 12000 + 18000 = $30000

the shortfall is the difference between $58000 and $30000

58000 - 30000 = $28000

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The vertices of a triangle are located at the points A(0, 1), B(2, 4) and C(3, 0). The triangle is translated 5 units down to ob
lyudmila [28]

Answer:

The coordinates of the vertices of triangle A'B'C' are A'(x,y) = (0,-4), B'(x,y) = (2,-1) and C'(x,y) = (3,-5).

Step-by-step explanation:

According to this statement, triangle ABC must be translated 5 units in the -y direction to form triangle A'B'C'. We need to use the following operations:

A'(x,y) = A(x,y) +(0,-5) (1)

B'(x,y) = B(x,y) +(0,-5) (2)

C'(x,y) = C(x,y) + (0,-5) (3)

If we know that A(x,y) = (0,1), B(x,y) = (2,4) and C(x,y) = (3,0), then the new  vertices of the rectangle are, respectively:

A'(x,y) = (0,-4), B'(x,y) = (2,-1), C'(x,y) = (3,-5)

8 0
3 years ago
What are the sine, cosine, and tangent of Θ = 3 pi over 4 radians?
inysia [295]
Notice the "x" and "y" coordinates

the x-coordinate is well, the cosine value
the y-coordinate is well, the sine value

now the tangent

\bf tan(\theta)=\cfrac{opposite}{adjacent}=\cfrac{y}{x}\\\\
-------------------------------\\\\
tan(\theta )=\cfrac{\frac{\sqrt{2}}{2}}{-\frac{\sqrt{2}}{2}}\implies tan(\theta )=-1

5 0
3 years ago
Solve for x. Write your answer as “x=__”
BabaBlast [244]

Answer:

9x+3x=12x

180/12=15

9 x 15= 135

3 x 15= 45

135+45=180

x=15

Step-by-step explanation:

3 0
3 years ago
Can someone help me please?
Shtirlitz [24]
The image isn’t loading for me , try reuploading
8 0
3 years ago
I need the Answer NOW
forsale [732]

Answer:

352 cm

Step-by-step explanation:

The circumference of a circle is given by the radius times 2 times π:

2•56•3,14 = 351,68 ≈ 352 cm

6 0
3 years ago
Read 2 more answers
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