Answer:
1.7% compounded continuously
Step-by-step explanation:
The model used for continuous compounding is ...
f(t) = Pe^(rt)
where P is the principal amount, and r is the interest rate being compounded. Assuming a typo in your given equation, you have ...
f(t) = 1000·e^(0.017t)
Matching the various parts of the equation, we see that P = 1000 and r = 0.017 = 1.7%.
The balance grows at a continuous rate of 1.7%.
Answer: 76 roses were sold.
Step-by-step explanation:
Let x represent the number of tulips that the math club sold.
Let y represent the number of roses that the math club sold.
The number of roses sold was 8 more than 4 times the number of tulips sold. This means that
y = 4x + 8
Tulips were sold for $2 each and roses for $5 each. The club made $414.00. This means that
2x + 5y = 414- - - - - - - - - 1
Substituting y = 4x + 8 into equation 1, it becomes
2x + 5(4x + 8) = 414
2x + 20x + 40 = 414
22x = 414 - 40
22x = 374
x = 374/22
x = 17
y = 4x + 8 = 4 × 17 + 8
y = 76
First, given graph is very inaccurate. I suppose that you made net with pen.
a) The slope is the angle ( tan∡) between your graph and x axis.
The slope represent the level of the earnings growth.
b) According to the given graph y-intercept= 30$
Y-intercept represent starting amount of money.
c) If we accept that y=70 is connected with x=2 and y=30 with x=0
The slope is S= (70-30)/2= 40/2=20
Linear equation for this function is
y= 20x+30
d) When we replace y=300$ in the equation we get
20x+30=300 => 20x=300-30 => 20x=270 => x=270/20=13.5h
x=13.5h
Good luck!!!
Answer:
B
Step-by-step explanation:
x = y-4x^2 can be rearranged to get y = 4x^2 + x, which is a function
The measures of the angles don't change when you translate a figure, because the entire figure is moving as a whole. Imagine having a paper parallelogram, moving it around and flipping it over. Not even dilations would change these angles (for reasons that can be pretty easily visualed but not really proven until geometry)
