Answer:
A(n) = 100(1.1)^n
Step-by-step explanation:
Given that :
Account balance = A(n)
Compound interest paid = 10%
We need to obtain the initial amount deposited, that is A(n), when n = 0
In year, n = 1
Account balance, A(n) = $110
Let initial deposit = P
Hence,
Compound interest relation should be ;
A(n) = P(1 + r)^n
Plugging in our values
110 = P(1 + 0.1)^1
110 / P = 1.1^1
110/P = 1.1
110 = 1.1P
P = 110 / 1.1
P = 100
Hence, we can define the amount paid inn n years by substuting the value of P into the compound interest formula :
A(n) = 100(1 + 0.1)^n
A(n) = 100(1.1)^n
Answer:
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Step-by-step explanation:
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Answer:
t=2
Step-by-step explanation:
The slope is given by
m = (y2-y1)/(x2-x1)
We have points (3,10) and (5,t) and the slope is -4
Substituting these in
-4 = (t-10)/ (5-3)
Simplifying
-4 = (t-10) / 2
Multiply by 2 on both sides
-4 = (t-10) / 2 *2
-8 = t-10
Add 10 on both sides
-8+10 = t-10+10
2 = t
Answer:
Step-by-step explanation:
The slope-intercept form of an equation of a line:
<em>m</em><em> - slope</em>
<em>b</em> - <em>y-intercept</em>
We have
Substitute:
Answer: 102
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We'll use the formula
A = h*(b1+b2)/2
where
A = area of trapezoid
h = height
b1 & b2 are the parallel bases
In this case,
b1 = 6+7 = 13
b2 = 21
h = 6
Making the area to be
A = h*(b1+b2)/2
A = 6*(13+21)/2
A = 6*(34)/2
A = 204/2
A = 102
Side Note: We don't use the slanted side of 10 cm at all
