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Mamont248 [21]
4 years ago
15

Lou Harris is guaranteed a minimum $275 weekly salary plus 5.25% of his total sales. What are his total sales for a week in whic

h his gross pay was $700?

Mathematics
2 answers:
Eduardwww [97]4 years ago
5 0

Answer:

$8095.24

Step-by-step explanation:

Lou Harris is guaranteed a minimum weekly salary = $275

Plus 5.25% of his total sales

His gross pay for this week = $700

His commission on the sales = $700 - $275

                                                = $425

Let the total sales for this week be x

5.25% of x = $425

0.0525x = 425

x = \frac{425}{0.0525}

x =  $8095.2381 ≈ $8095.24

His total sales for a week is $8095.24

USPshnik [31]4 years ago
3 0
Hope this is what you where looking for

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Answer:

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Step-by-step explanation:

Answer is option 1) 85 : 51

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6 0
3 years ago
Find the fifth roots of 243(cos 240° + i sin 240°).
Mazyrski [523]

Answer:

See below.

Step-by-step explanation:

Fifth root of 243 = 3,

Suppose r( cos Ф + i sinФ) is the fifth root of 243(cos 240 + i sin 240),

then r^5( cos  Ф  + i sin  Ф )^5 = 243(cos 240 + i sin 240).

Equating equal parts and using de Moivre's theorem:

r^5 =243  and  cos  5Ф  + i sin  5Ф = cos 240 + i sin 240

r = 3 and  5Ф = 240 +360p so Ф =  48 + 72p

So Ф = 48, 120, 192, 264, 336  for   48 ≤ Ф < 360

So there are 5 distinct solutions given by:

3(cos 48 + i sin 48),

3(cos 120 + i sin 120),

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7 0
3 years ago
Please help me asp I’ll mark as brainliest
Zigmanuir [339]

Answer:

1) Ordered pairs are (9,5), (11,8) , (13,11), (15,14)

2) Ordered pairs are (20,20) ,(16,17), (12,14), (8,11)

3) Ordered pairs are     (1,40),(3,22), (7,13), (15,7.5)

Step-by-step explanation:

1) Rule 1: Add 2 starting from 9

Rule 2: Add 3 starting from 5

Sequence 1 is generated using Rule 1 so, it starts with 9 and we add 2 to get the next number.

Sequence 2 is generated using Rule 2 so, it starts with 5 and we add 3 to get the next number.

Sequence 1       Sequence 2       Ordered Pair

9                           5                           (9,5)

11                          8                           (11,8)

13                          11                           (13,11)

15                          14                           (15,14)

2) Rule 1: Subtract 4 starting from 20

Rule 2: Subtract 3 starting from 20

Sequence 1 is generated using Rule 1 so, it starts with 20 and we subtract 4 to get the next number.

Sequence 2 is generated using Rule 2 so, it starts with 20 and we subtract 3 to get the next number.

Sequence 1       Sequence 2       Ordered Pair

20                         20                        (20,20)

16                          17                         (16,17)

12                          14                         (12,14)

8                            11                         (8,11)

3) Rule 1: Multiply by 2 then add 1 starting from 1

Rule 2: Divide by 2 then add 4 starting from 40

Sequence 1 is generated using Rule 1 so, it starts with 1 and then we multiply by 2 and then add 2 to get the next number.

Sequence 2 is generated using Rule 2 so, it starts with 40 and then we multiply by 2 and add 2 to get the next number.

Sequence 1       Sequence 2       Ordered Pair

1                           40                            (1,40)

3                           22                          (3,22)

7                           13                            (7,13)

15                          7.5                           (15,7.5)

7 0
3 years ago
A swimming pool at a park measures 9.75 meters by 7.2 meters.
neonofarm [45]

Answer:

Part a) The area of the swimming pool is 70.2\ m^2

Part b) The total area of the swimming pool and the playground is 105.3\ m^2

Step-by-step explanation:

Part a) Find the area of the swimming pool

we know that

The area of the swimming pool is

A=LW

where

L is the length side

W is the width side

we have

L=9.75\ m\\W=7.2\ m

substitute the values

A=(9.75)(7.2)

A=70.2\ m^2

therefore

The area of the swimming pool is 70.2\ m^2

Part b) The area of the playground is one and a half times that of the swimming pool. Find the total area of the swimming pool and the playground

we know that

To obtain the area of the playground multiply the area of the swimming pool by one and a half

\frac{1}{2}(70.2)=35.1\ m^2

To obtain the total area of the swimming pool and the playground, adds the area of the swimming pool and the area of the playground

so

70.2\ m^2+35.1\ m^2=105.3\ m^2

therefore

The total area of the swimming pool and the playground is 105.3\ m^2

6 0
3 years ago
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