Answer:
x = 24.1
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp /adj
tan 15 = x/90
90 tan 15 =x
x=24.11542
To the nearest tenth
x = 24.1
Answer:
16+32÷4+(10-6)2=16+8+8=32
Answer:
x={-5,-6}
Step-by-step explanation:
x²+11x+30=0
x²+5x+6x+30=0 (as 5*6=30 and 5+6=11)
x(x+5)+6(x+5)=0
(x+5)(x+6)=0
so
x+5=0
x+6=0
therefore
x=-5
x=-6
12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 479,001,600
I recommend you use this as a starter. I can't be completely sure if it's right. I hope it helps though! Good luck!
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.
