Answer:
$840
Step-by-step explanation:
Given data
Principal = $3000
Rate= 7%
Time= 4 years
The expression for the simple interest is
SI= PRT/100
substitute
SI= 3000*7*4/100
SI= 30*7*4
SI= $840
Hence the interest is $840
The area of a triangle is base x height x (1/2)
Plug in the values that are given.
Area = 10 x 12 x (1/2)
Area = 120 x (1/2)
Area = 60 in²
Hope this helps :)
Step-by-step explanation:
n, n+1 - two consecutive integers
n(n + 1) = 50 <em>use distributive property</em>
n² + n = 50 <em>subtract 50 from both sides</em>
n² + n - 50 = 0
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ax² + bx + c =0
if b² - 4ac > 0 then we have two solutions:
[-b - √(b² - 4ac)]/2a and [-b - √(b² + 4ac)]/2a
if b² - 4ac = 0 then we have one solution -b/2a
if b² - 4ac < 0 then no real solution
----------------------------------------------------------
n² + n - 50 = 0
a = 1, b = 1, c = -50
b² - 4ac = 1² - 4(1)(-50) = 1 + 200 = 201 > 0 → two solutions
√(b² - 4ac) = √(201) - it's the irrational number
Answer: There are no two consecutive integers whose product is 50.
*see attachement for diagram
Answer:
40.4 ft
Step-by-step explanation:
Let the part that broke away be represented as "x"
Thus, the digram makes a right triangle shape.
The closest total length of tree before the storm = x + 14 ft
Apply trigonometric function to find x.
Reference angle = 58°
Side adjacent to reference angle = 14 ft
Hypotenuse = x
Apply CAH, which is:
Cos 58 = adj/hyp
Cos 58 = 14/x
x * Cos 58 = 14
x = 14/Cos 58
x = 26.4191188 ≈ 26.4 ft
✔️closest total length of tree before the storm = x + 14 ft = 26.4 + 14 = 40.4 ft
