There were 200 books sold. so, they need to sell 300 more to have 500 total books sold.
The compound interest formula is:
F = P * (1+i) ^ (n*t)
where:
F = future value
P = present value
i = r/n ; r = interest rate, n = number of times interest is compounded per year
t = number of years
Substituting:
F = 800 * ( 1 + .032/1 ) ^ (1*15) ; n=1 since compounded annually
F = 800 * ( 1 + 0.032) ^ (15)
F = 800 * ( 1.032) ^ 15
F = 800 * ( 1.60396711263693 )
F = 1283.17369010954
So there will be $1283.174 in the account.
They are linear pair of angles.
So,
107° + x = 180°
=> x = 180° - 107°
=> x = 73°
Answer:
- = 1
Step-by-step explanation:
<h3>Given</h3>
<h3>To find </h3>
- The value of the expression
<h3>Solution</h3>
<u>Let's rewrite the given as:</u>
- <u />
<u>Let the value is m and the expressions under 3rd roots are a and b, then we have </u>
- a = 3√21 + 8, b = 3√21 - 8
- m = ∛a - ∛b
<u>Cube the both sides:</u>
- m³ = (∛a - ∛b)³
- m³ = a - b - 3 + 3
<u>Simplify in bits:</u>
- a - b = 3√21 + 8 - 3√21 + 8 = 16
- ab = (3√21 + 8)(3√21 - 8) = 9*21 - 64 = 125
- ∛ab = ∛125 = 5
<u>So the expression becomes:</u>
- m³ = 16 - 3
- m³ = 16 - 15∛a + 15∛b
- m³ = 16 - 15(∛a - ∛b)
- m³ = 16 - 15m
<u>Solve for m:</u>
- m³ + 15m - 16 = 0
- m³ - 1 + 15m - 15 = 0
- (m - 1)(m² + m + 1) + 15(m - 1) = 0
- (m - 1)(m² + m + 16) = 0
- m - 1 = 0, m² + m + 16 = 0
- m = 1 is the only real root, the quadratic equation has no real roots
The answer is 1
Area of triangle = 0.5*(base)*(height)
Area of triangle = 0.5*(5)*(12)
Area of triangle = (0.5*12)*5
Area of triangle = 6*5
Area of triangle = 30 square inches