Answer:
After 16 weeks she will have 145 dollars left in her account.
Step-by-step explanation:
since 145 represents the amount of money in her account we will substitute that for "y" and solve for "x"
145=-27x+577
145-577=-27x
-432=-27x
-432/-27= -27x/-27
16=x
Answer: She will be there 8 years.
Step-by-step explanation:
216.05 is the answer because you have to divide $4,321 by 100, and multiply that by 5.
Answer:
y=1/2(x-1)
Step-by-step explanation:
If x=t^2 and t>0, then t=sqrt(x).
If t=sqrt(x) or x^(1/2) and y =1-1/t, then y=1-x^(-1/2).
The x-intercept is when y=0.
So we need to solve 0=1-x^(-1/2) to find point P.
Add x^(-1/2) on both sides: x^(-1/2)=1.
Raise both sides to -2 power: x=1
So point P is (1,0).
Let's find tangent line at point (1,0).
We will need the slope so let's differentiate.
y'=0+1/2x^(-3/2)
y'=1/(2x^(3/2))
The slope at x=1 is y'=1/(2[1]^(3/2))=1/(2×1)=1/2.
Recall point-slope form is y-y1=m(x-x1).
So our line we are looking for is y-0=1/2(x-1)
Let's simplify left hand side y=1/2(x-1)
Answer: 12
Step-by-step explanation:
law of cosines states that f^2 = t^2 + p^2 - 2tp cos(F)
so f^2 = 5^2 + 7^2 - 2*5*7*cos(175)
f^2 = 74 - (-69.7336)
f^2 = 143.7336
f = 11.9889
which rounds to 12
