Answer:
the answer is 15.
Step-by-step explanation:
you find the answer by turning 25% into 0.25 then you multiple it by 60, this results in 15.
X=length
y=width
Area (rectangle)=length x width
we suggest this system of equations:
y=x/5
xy=9/20
solve this system of equations by substitution method:
x(x/5)=9/20
x²/5=9/20
Least common multiple=20
4x²=9
x²=9/4
x=⁺₋√(9/4)
we have two solutions:
x₁=-3/2 it does not validate
x₂=3/2 ⇒y=x/5=(3/2)/5=3/10
The dimensions of the lake are:
lengh=3/2 miles
width=3/10 miles
to check:
Area=3/2 miles x 3/10 miles=9/20 miles².
width is 1/5 the length of the lake ⇒ 3/10 miles=(3/2) /5 miles
Answer:
You have to invest $6,250
Step-by-step explanation:
very simple applying the simple interest formula which is
Given data
A, final amount
= $10,000
P, initial principal balance= ?
r, annual interest rate
= 7.5%
t, time (in years)= 8 years
we can substitute our given data to find the principal needed.
Divide both sides by 1.6 we have
P= $6,250
Answer:
3√2
Step-by-step explanation:
In this question, we are asked to get the value of √ ( x²-y² ), while the value of x² and y² are given to be 33 and 15 respectively.
Hence, x² =33 and y² = 15.
Putting the values of x² and y² in the above expression we get,
√ ( x²-y² ) = √ ( 33-15) = √18 =3√2. (Answer)
Answer:
no
Step-by-step explanation:
