Frederick is working on a number puzzle and discovers that the product of the two base numbers is exactly twice as large as the
sum of those same base numbers.
Help on this, please?
2 answers:
Let two base numbers that is any of the digit from [0-9] be x and y.
It is given that, the product of the two base numbers is exactly twice as large as the sum of those same base numbers.
→xy=2×(x+y)
There are two variables in the equation , and there is only one equation.So, we have to use Hit and Trial method to evaluate the value of x and y.
→ 0≤ x≤9 and 0≤ y≤9
⇒ Integral Solution of the above equation can be evaluated by drawing the graph (Drawn the graph using Desmos)
1.⇒ x=4 and , y=4.
2.⇒ x=6 and y=3
3.⇒x=3 and y=6
4.⇒x=0 and y=0
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Money Birute deposited in a savings account = $500
Rate of simple interest per annum = 1.3%
▪︎We need to find the interest she will earn in 4 years.
We know that :
In this case :
Principal = $500
Rate = 1.3%
Time = 4 years
Which means :
The simple interest she will earn in 4 years :
Thus, the simple interest she will earn in 4 years = $26
Amount = Principal + Interest
Amount she will gain after 4 years :
Thus, the amount she will gain after 4 years = $526
Amount change in her account = 526 - 500 = 26
We know that :
Which means :
Percentage of change in her savings account :
▪︎Simple interest after 4 years = $26
▪︎Money she will earn after 4 years = $526
▪︎Percentage of change in her savings account = 5.2%
Answer:
Option 2) 2x3 – 6x2 – 14x + 24 square centimeters
Step-by-step explanation:
We know the Parallelogram Area is given by
Eqn. (1)
where
: is the base
: is the height
We are also given that the base is
and the height is
So we can plug these two expressions in Eqn. (1), simplify and find our Area equation as follow:
Which matches Option 2. from the available ones.