Assuming he had not dealt with the bank offering plan B before, he has nothing deposited two years back. Hence plan B only gives him only 0.2% annual interest for his deposit.
Plan A gives 0.25% for his deposit all the time.
So plan A is more advantageous.
For durations,
To reach $1,000,000 from $100,000, the money needs to grow 10 fold, or
(1+i)^n=10
n=log(10)/log(1+i).
So for plan A:
n=log(10)/log(1.0025)=922.18 years, while for
plan B
n=log(10)/log(1.0020)=1152.44 years.
Hope the bank(s) still exist at that time.
Answer:
w= 9
Step-by-step explanation:
Square both sides:
-4w +61= (w -4)²
Expand:
-4w +61= w² -2(w)(4) +4²
-4w +61= w² -8w +16
Simplify:
w² -8w +16 +4w -61= 0
w² -4w -45= 0
Factorize:
(w -9)(w +5)= 0
w -9= 0 or w +5= 0
w= 9 or w= -5 (reject)
Note:
-5 is rejected since we are only taking the positive value of the square root here. If the negative square root is taken into consideration, then w= -5 would give us -9 on both sides of the equation.
<u>Why </u><u>do </u><u>we </u><u>use </u><u>negative </u><u>square </u><u>root?</u>
When solving an equation such as x²= 4,
we have to consider than squaring any number removes the negative sign i.e., the result of a squared number is always positive.
In the case of x²= 4, x can be 2 or -2. Thus, whenever we introduce a square root, a '±' must be used.
However, back to our question, we did not introduce the square root so we should not consider the negative square root value.
Answer:
Because <CBD is an inscribed angle and <CAD is a central angle with the same intercepted arc, m<CBD = 55°, or half of the measure of <CAD.
Step-by-step explanation:
The Inscribed Angle Theorem proves that an inscribed angle is half the measure of a central angle, if both the inscribed angle and the central angle intercepts the same arc.
Also, according to the inscribed angle theorem, an inscribed angle is ½ of the measure of the arc it intercepts.
Therefore, m<CBD is half of m<CAD, or half of the measure of the arc CD that they both intercept together.
Thus, m<CBD = 55°, which is ½ of m<arc CD.
m<arc CD = 110° = m<CAD.
m<CBD = ½ of m<CAD = 55°.
The statement that best describes the relationship between <CBD and <CAD is "Because <CBD is an inscribed angle and <CAD is a central angle with the same intercepted arc, m<CBD = 55°, or half of the measure of <CAD."
Answer:
y maximum is at 1 for both the points (4,1) and (-4,1)
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
Clare has 8 fewer book than mai. If mai has 26 books, how many books does clare have? list all equations that work
