From the information given, the deposit is 4000$, interest rate is 2.75% the final interest amounts to 220$ but the time it will take to earn this interest is unknown. We will assume the interest earned is per annum.
The formula we use is I = Prt
Let simple interest be I which is 220
Let principal sum be P which is 4000
Let interest rate be r which is 2.75 %
Let time be t
We need t, so we say t = I / Pr
t = 220 / 4000 * 2.75/100
t = 220 / 4000 * .0275
t = 220 / 110
t = 2
Therefore the time it will take to earn 220 $ interest is 2 years.
Answer:
You know that if f(x) = 1/(x²+1) then F(x)=arctan(x).
What is arctan(x) function? It is inverse function of tan(x) in tge range (-π/2, π/2).
So if tan(x) = y then x = arctan(y)
therefore arctan(-1) = -π/4 because tan(-π/4)=-1 and arctan(1)=π/4 because tan(π/4) = 1.
In conclusion:
integral (dx/(x²+1)) from -1 to 1 =
= F(1) - F(-1) = arctan(1) - arctan(-1) =
=π/4-(-π/4)=π/4+π/4 = π/2.
answer B is correct
G(x)=4x^2-16
To shift to the right we have to subtract from the value of x, in this case by 5 units...
h(x)=4(x-5)^2-16
h(x)=4(x^2-10x+25)-16
h(x)=4x^2-40x+100-16
h(x)=4x^2-40x+84
Now to shift the function downwards by 2 units we must subtract the constant 2 from h(x)
h(x)=4x^2-40x+84-2
h(x)=4x^2-40x+82
Answer:
The length of the hypotenuse of the triangle is about 14.14 units.
Step-by-step explanation:
You can determine this by using the Pythagorean Theorem.
a^2 + b^2 = c^2
To find the hypotenuse, take sides a and b (10 and 10) and square them. You get 100. When you add 100 and 100 together, you get 200, which equals c^2. Find the square root of 200 to find the hypotenuse.
