Answer:
The answer is true.
Step-by-step explanation:
A polar equation describes the relation between r and θ. Here 'r' is the distance from the origin to a point curve. 'θ' is the angle made by a point on a curve, the pole, and the positive x-axis.
So, the statement - Polar equations can describe graphs as functions, even when their equations in the rectangular coordinate system are not functions - is true.
Answer:
Step-by-step explanation:
So, we know that Jolene bought an initial $750.
We also know that the purchase is increasing at an average rate of 5 1/2 %or 5.5%. In other words, this is being compounded.
So, we can use the compound interest formula, which is:
Where A is the total amount, P is the principal value, r is the rate and n is the number of times compounded per year, and t is the amount of years.
So, substitute 750 for P. 5 1/2% is the same as 5.5% or 0.055 (you move the decimal two places to the left and remove the percent symbol) so substitute this for r. Since it's increasing yearly, n is 1. So, our formula is:
Add:
Since the stock was bought 3 years ago, the value now is t=3. So, substitute 3 for t and evaluate:
Evaluate. Use a calculator:
And we're done!
Formula: A = P(1 + r/n)^t
We have these variables:
P = 750
r/n = 0.055
t = 3
Substitute and simplify:
A = 750(1 + 0.055)^3
A = 750(1.055)^3
A = 880.68
Best of Luck!
The amount of concrete that will be required for the driveway is 151200 cubic inches.
Volume is a collection of two - dimensional points enclosed by a single dimensional line. Mathematically, we can write volume as -
V = ∫∫∫ F(x, y, z) dx dy dz
Given is that a driveway is 10 feet long, 15 feet wide, and 7 inches deep.
The amount of concrete that will be required for the driveway will be equal to the volume of the driveway.
V = 10 x 12 x 15 x 12 x 7
V = 120 x 180 x 7
V = 21600 x 7
V = 151200 cubic inches
Therefore, the amount of concrete that will be required for the driveway is 151200 cubic inches.
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Answer:
88
Step-by-step explanation:
V=l x w x h
(10) (15) (.58) = 87.5. Rounding=88
remember it's 7 inches not feet. 7/12=.58
Answer:
Results are below.
Step-by-step explanation:
Giving the following information:
The expression 120+4x represents the cost of producing x items. The selling price is $5 for each item.
The net income formula:
y= (5 - 4)x - 120
(5-4)= contribution margin per unit sold (x)
120= fixed costs
To calculate the break-even point in units, we need to use the following formula:
Break-even point in units= fixed costs/ contribution margin per unit
Break-even point in units= 120 / 1
Break-even point in units= 120 units
Prove:
y= 1*120 - 120
y= 0
B. 21.3
C. 14.9
D. 26.8
Answer:
37.1
Step-by-step explanation: