To divide 54,164 by 44, we start from the first digit.
First we take the first 2 digits: i.e. 54 divided by 44, which gives 1 remainder 10.
Next, we join the next digit to the remainder and divide again by 44: i.e. 101 divided by 44, which gives 2 remainder 13.
Next, we join the next digit to the remainder and divide again by 44: i.e. 136 divided by 44, which gives 3 remainder 4.
Next, we join the next digit to the remainder and divide again by 44: i.e. 44 divided by 44, which gives 1.
We now joining all the results from our algorithm, to get that 54,164 divided by 44 is 1,231.
Assume that the age of Alicia is x and that of Amy is y
Twice the age of Alicia = 27
Eight years older means we will add 8
Therefore, the statement "<span>Amy is eight years older than twice her cousin Alicia’s age" can be represented as follows:
y = 8 + 2x (equation)
The sum of their ages is less than 32 can be represented as:
x + y < 32 which can also be written as y < 32-x (inequality)
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Answer:
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Step-by-step explanation:
Given two vectors a and b,we are rquired to find the angle between them.
a=(8,7);b=(7,0).
Angle between two vectors can be found by dot product of them.
If a and b are two vectors then the dot product of them is given by|a||b|cos(α).
Where α is the angle between the vectors a and b.
Now
. and
=56.
Now cosα=
so α= cosine inverse of that.
∴α=
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Discriminant: 24
Solutions: x=−3± the square root of 6
Answer:
a)

b)
The total amount accrued, principal plus interest, from compound interest on an original principal of $ 4,200.00 at a rate of 3.6% per year compounded 12 times per year over 10 years is $5667.28.
Step-by-step explanation:
a. Write the function that represents the value of the account at any time, t.
The function that represents the value of the account at any time, t

where
P represents the principal amount
r represents Annual Rate
n represents the number of compounding periods per unit t, at the end of each period
t represents the time Involve
b) What will the value be after 10 years?
Given
The principal amount P = $4200
Annual Rate r = 3.6% = 3.6/100 = 0.036
Compounded monthly = n = 12
Time Period = t
To Determine:
The total amount A = ?
Using the formula

substituting the values


$
Therefore, the total amount accrued, principal plus interest, from compound interest on an original principal of $ 4,200.00 at a rate of 3.6% per year compounded 12 times per year over 10 years is $5667.28.