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Tanya [424]
2 years ago
9

Mark currently works part-time with a salary of $8,000 per year. mark plans to quit working and attend college for 4 years. if h

is college costs will total $64,000, how long will it take mark to recover his investment assuming he has a salary of $32,000 upon graduating?
Mathematics
1 answer:
BARSIC [14]2 years ago
6 0
For the answer to the question above asking <span>how long will it take a mark to recover his investment assuming he has a salary of $32,000 upon graduating?

The answer is </span>Mark will lose:
4 * $ 8,000 = $32,000 ( without salary ) + $64,000 ( college costs ) = 
= $96,000 in total
$96,000 : $32,000 = 3
Answer:
<span>It will take Mark 3 years to recover his investments. Poor Mark</span>
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This star is made up of 4 equilateral triangles of equal area and a square.
pentagon [3]

Answer:

24 cm

Step-by-step explanation:

Given: Picture of the star is made up of 4 unshaded equilateral triangles of equal area and a shaded square.

Area of the shaded region (square) = 9\,\, cm^2

To find: the perimeter of the star

Solution:

Area of the shaded region (square) = 9\,\, cm^2

Area of square = (side)^2

(side)^2=9\\side=3\,\,cm

As each equilateral triangle has side lengths that are the same as the side length of the square,

length of side of the star = 3 cm

Perimeter is the sum of lengths of the sides.

Perimeter of star = sum of 8 sides of the star

= 8 × 3 = 24 cm

4 0
2 years ago
The cost of 5 scarves is $91.25. What is the unit price? The unit price is $ per scarf.
NikAS [45]

Answer:

18.25

Step-by-step explanation:

just divide the total cost of scarves by the number of scarves:

91.25 / 5 = 18.25

6 0
2 years ago
On a coordinate plane, 2 polygons are shown. Polygon A B C D has points (1, negative 6), (5, negative 6), (6, negative 2), and (
irga5000 [103]

Answer:

The correct option is;

Use a scale factor of 2

Step-by-step explanation:

The parameters given are;

A = (1, -6)

B = (5, -6)

C = (6, -2)

D = (0, -2)

A'' = (1.5, 4)

B'' = (3.5, 4)

C'' = (4, 2)

D'' = ( 1, 2)

We note that the length of side AB in polygon ABCD = √((5 -1)² + (-6 - (-6))²) = 4

The length of side A''B'' in polygon A''B''C''D'' = √((3.5 -1.5)² + (4 - 4)²) = 2

Which gives;

AB/A''B'' = 4/2 = 2

Similarly;

The length of side BC in polygon ABCD = √((6 -5)² + (-2 - (-6))²) = √17

The length of side B''C'' in polygon A''B''C''D'' = √((4 -3.5)² + (2 - 4)²) = (√17)/2

Also we have;

The length of side CD in polygon ABCD = √((6 -0)² + (-2 - (-2))²) = 6

The length of side C''D'' in polygon A''B''C''D'' = √((4 -1)² + (2 - 2)²) = 3

For the side DA  and D''A'', we have;

The length of side DA in polygon ABCD = √((1 -0)² + (-6 - (-2))²) = √17

The length of side D''A'' in polygon A''B''C''D'' = √((1.5 -1)² + (4 - 2)²) = (√17)/2

Therefore the Polygon A B C D can be obtained from polygon A''B''C''D'' by multiplying each side of polygon A''B''C''D'' by 2

The correct option is therefore;

Use a scale factor of 2.

3 0
2 years ago
Read 2 more answers
A maple syrup company is making a new label for its barrels of syrup. If the barrels are 5 feet tall and have a radius of 2 feet
Elanso [62]

Answer:

(A)62.8 square feet

Step-by-step explanation:

Height of the barrels = 5 feet

Radius of the barrels= 2 feet

\pi=3.14

The barrel is in the shape of a cylinder and the area of the label the company needs is that of the round sides(curved surface area) of the cylinder.

Curved Surface Area of a Cylinder=2\pi rh

=2X3.14X2X5

=62.8 square feet

The company need 62.8 square feet of label.

7 0
2 years ago
A grocery store sells a bag of 5 oranges for $3.10. If Levi spent $2.48 on oranges, how many did he buy?
Svetllana [295]

Answer:

Four

Step-by-step explanation:

1. $3.10 divide by 5 = $0.62

2. $0.62 multiply by 4 = $2.48

So Levi bought 4 oranges

7 0
2 years ago
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