Answer:
Annual: $302 737.50
Continuous: $332 507.52
Step-by-step explanation:
A. Compounded annually
The formula for <em>compound interest</em> is
A = P(1 + r)ⁿ
Data:
P = $45 000
r = 10 %
t = 20 yr
Calculations:
n = 20
A = 45 000(1+ 0.10)²⁰
= 45 000 × 1.10²⁰
= 45 000 × 6.727 499 95
= $302 737.50
B. Compounded continuously
The formula for <em>continuously compounded inerest</em> is
= 45 000 × 7.389 056 61
= $332 507.52
<h3>
Answer: 12 inches</h3>
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Explanation:
Notice the double tickmarks on segments WZ and ZY. This tells us the two segments are the same length. Let's say they are m units long, where m is a placeholder for a positive number.
That would mean m+m = 2m represents the length of segment WY, but that's equal to 10 as the diagram shows. We have 2m = 10 lead to m = 5 after dividing both sides by 2.
We've shown that WZ and ZY are 5 units long each. In short, we just cut that length of 10 in half.
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Let's focus on triangle XYZ. This is a right triangle with legs XZ = unknown and ZY = 5. The hypotenuse is XY = 13.
We'll use the pythagorean theorem to find XZ
a^2 + b^2 = c^2
(XZ)^2 + (ZY)^2 = (XY)^2
(XZ)^2 + (5)^2 = (13)^2
(XZ)^2 + 25 = 169
(XZ)^2 = 169-25
(XZ)^2 = 144
XZ = sqrt(144)
XZ = 12
Segment XZ is 12 inches long.
Answer:
-19
Step-by-step explanation:
Answer:
-5
Step-by-step explanation:
g(x)=x^2+4x-5
g(-4)=(-4)^2+4(-4)-5
g(-4)=(-4)(-4)+(-16)-5
g(-4)=16-16-5
g(-4)=0-5
g(-4)=-5
Answer:
Answer B (proportional)
Step-by-step explanation:
The variable y and x are related by the constant of proportionality "6" in the expression
y = 6 x
Such means that if x adopts whatever value, y is always proportional to that x-value, by the multiplicative factor 6.
y is proportional to x via the proportionality constant (it has to be always a multiplicative constant) "6"
