Answer:
B
Step-by-step explanation:
Using the cofunction identity
sin x = cos(90 - x)
Given
sin(3x + 19) = cos(5x - 25), then
3x + 19 = 90 - (5x - 25)
3x + 19 = 90 - 5x + 25
3x + 19 = 115 - 5x ( add 5x to both sides )
8x + 19 = 115 ( subtract 19 from both sides )
8x = 96 ( divide both sides by 8 )
x = 12 → B
Answer:
so rate is 4.72 %
Step-by-step explanation:
Given data
time (t) = 5 year = 5×4 = 20 quarterly
amount = $27456
principal = $1225
to find out
interest rate (r)
solution
we use here amount formula that is
amount = principal (
-1 ) / r .....................1
put all value principal , amount and time in equation 1 and we get rate
rate is r/4 because it is quarterly payment
amount = principal (
-1 ) / r/4
27456 = 1225 (
-1 ) / r/4
( -1 ) / r/4 = 27456/ 1225
(
-1 ) / r = 27456/ (1225 × 4)
( -1 ) = r 27456/ (1225 × 4)
now by the tvm solver and amount $27456
graph value
we get r = 0.0472
so rate is 4.72 %
The sale the company must make and sell to break even is;
B=600
<h3>How many helmets must the company make and sell to break even?</h3>
Generally, the equation for the break even is mathematically given as
In conclusion
B=y vertex/price of each
Therefore
B=15600/26
B=600
In conclusion, the company's break even is
B=600
CQ
A company plans to sell bicycle helmets for $26 each. The company's business manager estimates that the cost, y, of making x helmets is a quadratic function with a y-intercept of 8,400 and a vertex of (500, 15,900). How many helmets must the company make and sell to break even?
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The slope in fraction form is -9/4 so converted to a decimal is -2.25
