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Vilka [71]
2 years ago
13

Amee received an end of year bonus of $1550 at work and went on a shopping spree. She spent $225 at the department store, $275 a

t the home furnishing store, and $28 at the card shop. How much of her bonus does Amee have left?
Mathematics
1 answer:
atroni [7]2 years ago
6 0

Answer: She has $1022 left.

Step-by-step explanation:

The total amount that Amee received an the end of year as bonus at work is $1550.

She went on a shopping spree, spending $225 at the department store, $275 at the home furnishing store, and $28 at the card shop. Therefore, the total amount that she spent at the department store, the home furnishing store, and the card shop is

225 + 275 + 28 = $528

Therefore, the total amount of her bonus that she has left is

1550 - 528 = $1022

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A cruise ship travels 310 miles due east before turning 20 degrees north of east. it travels 150 miles its new course. how far i
Elina [12.6K]
D^2=x^2+y^2

d^2=(310+150cos20)^2+(150sin20)^2

d^2=205991.41373309

d=453.86mi

So C. to the nearest mile.
3 0
2 years ago
Read 2 more answers
Find the mean absolute deviation
pantera1 [17]
First find the mean (sum divided by number of values)
4+5+8+10+15=42
42/5=8.4
Then find the difference between each of the numbers and the mean.
4.4, 3.4, 0.4, 1.6, 6.6
Then find the mean of those values.
4.4+3.4+0.4+1.6+6.6=16.4
16.4/5=3.28
Final answer: 3.28
6 0
2 years ago
Read 2 more answers
Which of the following are accurate descriptions of the distribution below? Choose all answers that apply: Choose all answers th
maksim [4K]

Answer:

None of the above

Step-by-step explanation:

3 0
2 years ago
Antonio's toy boat is bobbing in the water under a dock. The vertical distance HHH (in \text{cm}cmstart text, c, m, end text) be
musickatia [10]

Answer: Time t = 33.0 seconds

Step-by-step explanation:

Given that the vertical distance H between the dock and the top of the boat's mast t seconds after its first peak is modeled by the function

H(t) = 5cos( 2π/3 ​t) − 35.5H

Where the maximum vertical distance = 5

At the down position, H(t) = 0

5cos( 2π/3 ​t) − (35.5/100)H = 0

5cos( 2π/3 ​t) − 0.355 × 5 =0

5cos( 2π/3 ​t) − 0.1775 = 0

5cos( 2π/3 ​t) = 0.1775

cos( 2π/3 ​t) = 0.1775/5

cos( 2π/3 ​t) = 0.355

2π/3 ​t = cos^-1 (0.355)

2π/3 ​t = 69.2

2πt = 69.2 × 3

2πt = 207.6

t = 207.6/2π

t = 33.0 seconds

3 0
2 years ago
Read 2 more answers
Musah stands at the centre of a rectangular field. He first takes 50 steps north, then 25 steps west and finally 50 steps on a b
Natalija [7]

Answer:

Musah's final point from the centre = 60.355 steps

Step-by-step explanation:

From the given information:

Musah stands at the centre of a rectangular field. He first takes 50 steps north, then 25 steps west and finally 50 steps on a bearing of 315°

The sketch for this information can be seen in the attached file below.

How far west is Musah's final point from the centre?

In order to determine how far west  is Musah's,

Let d be the distance of how far;

Then d = QR + RS cos θ

In the North West direction,

cos θ = cos 45°

d = 25 + 50( cos 45°)

d = 25 + 50( \dfrac{1}{\sqrt{2}} )

d = 25 + 50( 0.7071)

d =25 + 35.355

d = 60.355 steps

Musah's final point from the centre = 60.355 steps

5 0
2 years ago
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