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Nat2105 [25]
3 years ago
14

A stereo salesperson earns a salary of $1900 per month, plus a commission of 4% of sales. The salesperson wants to maintain a mo

nthly income of at least $2200. How much must the salesperson sell each month? PLEASE HELP!!! I WILL GIVE 25 POINTS!!!!!
Mathematics
1 answer:
Lyrx [107]3 years ago
3 0
Percent means parts out of 100
4%=4/100=0.4/10=0.04/1=0.04
4% of sale=0.04 times sales
so we have
at least means <u>></u>
so
earnings<u>></u>2200
earnings=1900+comission on sales
commision on sales=0.04 times sales
2200<u><</u>1900+0.04timessales
solve for sales

2200<u><</u>1900+0.04 times sales
subtract 1900 from both sides
300<u><</u>0.04 times sales
divide both sides by 0.04
7500<u><</u>sales

he has to sell at least $7500 per month
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10 is what percent of 60
Alona [7]
Is means equal
x percent is x/100
of means multiplication

So translating what you were given:

\sf{10=\frac{x}{100}\times60}

Solve for x

\sf{10=\frac{60x}{100}}

Simplify it

\sf{10=\frac{3x}{5}}

Multiply both sides by 5/3 to isolate x

\sf{x=\frac{50}{3}}

Your final answer is

\huge{\boxed{\bf{10~is~16.67~percent~of~60}}}

8 0
3 years ago
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In the given parallelogram, BE and CE are angle bisectors. If m∠A = 70°, find m∠BEC.
Iteru [2.4K]

Answer:

∠BEC=90°

Step-by-step explanation:

∠A=∠BCD and ∠ABC=∠D because opposite angles in a parallelogram are equal.

∠A=∠BCD=70

All angles in a quadrilateral add to 360:

∠A+∠ABC+∠BCD+∠D=360

∠ABC+∠D=360-140=220

∠ABC=∠D=110

Since ∠ABC=∠ABE+∠EBC, and ∠ABE=∠EBC (because BE is an angle bisector), ∠EBC=55.

Since ∠BCD=∠BCE+∠ECD, and ∠BCE=∠ECD (because CE is angle bisector), ∠BCE=35.

All angles in a triangle add to 180:

∠BCE+∠EBC+∠BEC=180

35+55+∠BEC=180

∠BEC=180-90

∠BEC=90°

3 0
3 years ago
One-third of a number decreased by six equals eight. What is the number?<br> 6
Mademuasel [1]

Answer:

42

Step-by-step explanation:

1/3 x 42 = 14

14 - 6 = 8

6 0
3 years ago
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If the point (4,-2) is included in a direct variation relationship, which point also belongs in this direct variation? A. (-4,2)
IceJOKER [234]

Answer:

(-4,2) belongs in this direct variation.

Step-by-step explanation:

Let the direct variation relationship is expressed by the equation y = mx ........ (1), where x and y are in direct variation and k is the variation constant.

Now, the point (4,-2) is included in the direct variation relationship, then from equation (1) we get, -2 = 4m

⇒ m =  - \frac{1}{2}

Therefore, the equation (1) becomes y = - \frac{1}{2}x

⇒ x + 2y = 0 ......... (2)

Now, from the given four options only the point (-4,2) satisfies the relation (2).

Hence, (-4,2) belongs in this direct variation. (Answer)

5 0
3 years ago
Which expressions are equivalent when m = 1 and m = 4? 5 m minus 3 and 2 m 5 m 3 m 4 and m 4 2 m 2 m 7 and 3 m minus 3 m 5 m 3 a
emmasim [6.3K]

The expressions that are equivalent when m = 1 and m = 4 is;

Option B: 3m + 4 and m + 4 + 2m

We are given m = 1 and m =4;

A) 5m - 3 and 2m + 5 + m

B) 3m + 4 and m + 4 + 2m

C) 2m + 7 and 3m - 3 + m

D) 5m + 3 and 4m + 2 + 2m

For option B; 3m + 4 and m + 4 + 2m

Let's put m = 1

3(1) + 4 = 7

Also, 1 + 4 + 2(1) = 7

Similarly, let us put 4 for m to get;

3(4) + 4 = 16

Also, 4 + 4 + 2(4) = 16

In both cases, the expressions are equivalent and as such option B is the right one.

Read more about algebra simplifications at; brainly.com/question/4344214

4 0
3 years ago
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