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saveliy_v [14]
3 years ago
9

Yara just received a 6% raise in salary. Before the raise, she was making $52,000 per year. How many more will Yara earn next ye

ar?
Mathematics
1 answer:
GaryK [48]3 years ago
6 0
raise:\ 6\%*52000=\frac{6}{100}*52000=0,06*52000=3120\\\\
52000+3120=55120\$\\\\
Next\ year\ she\ will\ earn\ 55120\$.
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Please answer I’ll rate brainlyest
12345 [234]

Answer:

5P3*6C4=60*15=900

Step-by-step explanation:

5P3 refers to the permutations of 5 items taken 3 at a time. To evaluate this, we use factorials as follows;

5P3=\frac{5!}{(5-3)!}

The factorial of an integer n is evaluated as;

n!=n*(n-1)*(n-2)*(n-3).......3*2*1

Using this concept, the above expression can now be simplified as follows;

5P3=\frac{5!}{2!}=\frac{5*4*3*2!}{2!}=5*4*3=60

Therefore, the permutations of 5 items taken 3 at a time is 60.

The next expression, 6C4 refers to the combinations of 6 items taken 4 at a time. The simplification utilizes similar concepts of permutations since we shall be involving factorials;

6C4=\frac{6!}{4!(6-4)!}=\frac{6!}{4!*2!}=\frac{6*5*4!}{4!*2*1}=\frac{6*5}{2*1}=15

Therefore, the combinations of 6 items taken 4 at a time is 15.

The final step is to evaluate the product;

5P3*6C4=60*15=900

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3 years ago
Use the number line given to choose the best answer for the question. What value does point P represent on the number line shown
Liono4ka [1.6K]

Its -3



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m∠RSU=(5x+7)° and m∠UST=(9x−1)°. If ∠RSU and ∠UST are complementary, what is the measure of each angle?
ArbitrLikvidat [17]

Answer:

37° and 53° respectively.

Step-by-step explanation:

We need to know that the angles are complementtary if ∠RSU + ∠UST = 90°. Then,

5x+7 + 9x-1 = 90

5x + 9x +7 -1 = 90

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14x = 90 - 6

14x = 84

x = 84/14

x = 6.

Then, the angle ∠RSU has measure 5(6)+ 7 = 30+7 = 37, and the angle ∠UST has measure 9(6) - 1 = 54-1 = 53.

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stiv31 [10]

Answer:

y=4x-3

Step-by-step explanation:

y=(slope)x+b

y=4x+b

Insert Point:

1=4(1)+b

b=-3

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2 years ago
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natita [175]

Answer:

114


Step-by-step explanation:


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2 years ago
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