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BigorU [14]
2 years ago
11

Sven participates in his employer’s 401k plan. His annual salary is $52,000. Sven contributes 7.5% of his annual salary. His emp

loyer matches his contributions up to 5% of his salary. How much money will be contributed to Sven’s plan for one year?
Mathematics
1 answer:
IgorLugansk [536]2 years ago
5 0

Answer:

$ 6,500

Step-by-step explanation:

(52,000)(0.075)+(52,000)(0.05) = 3,900 + 2,600

= 6,500

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Which proportion could be used to find the length of side b?​
Goshia [24]

Answer:

B

Step-by-step explanation:

Using the Sine Rule in ΔABC

\frac{a}{sinA} = \frac{b}{sinB} = \frac{c}{sinC}

∠C = 180° - (82 + 58)° = 180° - 140° = 40°

Completing values in the above formula gives

\frac{a}{sin58} = \frac{b}{sin82} = \frac{8.4}{sin40}

We require a pair of ratios which contain b and 3 known quantities, that is

\frac{b}{sin82} = \frac{8.4}{sin40}

OR

\frac{sin40}{8.4} = \frac{sin82}{b} → B

8 0
3 years ago
Read 2 more answers
The aspect of consistency means that ____. a. the association should be compatible with existing theory and knowledge b. the ass
Mama L [17]

Answer:

b. the association is consistent when results are repeated in studies in different settings using different methods

Step-by-step explanation:

-In statistics and research, internal consistency is typically a measure based on the correlations between different items on the same test (or the same subscale on a larger test).

-It measures whether several items that propose to measure the same general construct produce similar scores.

8 0
3 years ago
(3cosx-4sinx) + (3sinx+4cosx) = 5
Ksenya-84 [330]
(3 cos x-4 sin x)+(3sin x+4 cos x)=5
(3cos x+4cos x)+(-4sin x+3 sin x)=5
7 cos x-sin x=5
7cos x=5+sin x
(7 cos x)²=(5+sinx)²
49 cos²x=25+10 sinx+sin²x
49(1-sin²x)=25+10 sinx+sin²x
49-49sin²x=25+10sinx+sin²x
50 sin² x+10sinx-24=0

Sin x=[-10⁺₋√(100+4800)]/100=(-10⁺₋70)/100
We have two possible solutions:
sinx =(-10-70)/100=-0.8
x=sin⁻¹ (-0.8)=-53.13º      (360º-53.13º=306.87)

sinx=(-10+70)/100=0.6
x=sin⁻¹ 0.6=36.87º

The solutions when  0≤x≤360º are:  36.87º and 306.87º.


3 0
2 years ago
Mr. gomez bought 2 pairs of jeans each costing 45.50, and 1 pair of shoes. he spent a total amount of 132.25,. how much did the
GaryK [48]

Answer:

The answer is $41.25 because the 2 jeans are $91 as a collective plus the supposed $41.25 shoes equals the total amount (assuming no tax) $132.25.


4 0
3 years ago
Read 2 more answers
Write the expression in terms of sine only sin 9x cos 9x
Usimov [2.4K]
\sin 2\alpha= 2\sin \alpha\cos\alpha\quad\Rightarrow\quad\sin 9x\cos 9x=\frac{1}{2}\sin 18x
6 0
3 years ago
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