10.) The realized income each week is $79.87.
Add both payments and tips then deduct the tax deductions (multiply the rates to the gross income per week).
Gross income per week: (4.70 + 3.85) x 13hrs = 111.15
Tax deductibles: 8.50 (FICA) + 13.67 (federal tax) + 9.11 (state tax) = (31.28)
Realized income per week: 111.15 - 31.28 = 79.87
11.) The value of the stocks in its second year is $1,340.75.
Multiply the investment by the percentage increase, then add the result to the investment. You can also use this formula = investment x (1 + %)
First year: 1,050 x (1 + 0.13) = 1,186.50
Second year: 1,186.50 x (1 + 0.13) = 1,340.75
12.) a. The total value of your stocks after 2 years is $2,046. Use <em>investment x (1 - %)</em> in computing the decreases while <em>investment x (1 + %)</em> in computing the gains.
First year: 2,000 x (1 - 0.07) = 1,860
Second year: 1,860 x (1 + 0.10) = 2,046
b. The balance in your savings account after 2 years is $2,150.74. Use this formula = investment x (1 + rate)^number of years
Balance = 2,000 x (1 + 0.037)^2 = 2,150.74
13.) Your question is incomplete.
Answer:
a) 
= 8 in
b) When the length of AC = 
in. and BC = 
in. = 10 in
c) When the length of AB = 10.2 in. and BC = 3.7 in. 
= 6.5 in
d) When the length of AB = 
in. and BC = 
in. in. 
= 
in
Step-by-step explanation:
a) When the length of AC = 5 in. and CB = 3 in. we have;
The length of 
= AC + CB (segment addition postulate)
Therefore;
= 5 in. + 3 in. = 8 in.
b) When the length of AC = in. and BC = in. we have;
The length of = AC + CB (segment addition postulate)
Therefore;
= in.+ in. = 10 in.
c) When the length of AB = 10.2 in. and BC = 3.7 in. we have;
The length of = AB - BC (converse of the segment addition postulate)
Therefore;
= 10.2 in.+ 3.7 in. = 6.5 in.
d) When the length of AB = in. and BC = in. in. we have;
The length of = AB - AC (converse of the segment addition postulate)
Therefore;
= in. - in.= in.
Answer:
Hundreds = Digit 4
Step-by-step explanation:
Place Value of 359,481
3 - Hundred thousands
5 - Ten thousands
9 - Thousands
4 - Hundreds
8 - Tens
1 - Ones
Hundreds = Digit 4
Foxy =)
Answer:
(b) ∠EGF ≅ ∠BDC
Step-by-step explanation:
Angles D and G are both marked with double arcs, indicating they are congruent:
∠EGF ≅ ∠BDC
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<em>Other choices</em>:
BD is the short segment between the marked angles. It has no "decoration." EF is the longer segment with a single hash mark decoration. These are not corresponding parts, so are <em>not congruent</em>. There is no right angle in these triangles, so the <em>Pythagorean theorem is not applicable</em>.
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CD is the longest side, with no decoration. EF is the middle-length side with a single hash mark decoration. These are <em>not corresponding sides</em>.
<span>Approx.- 3.606
</span> |a + bi| = √<span>a^2 + b^<span>2</span></span>
