Answer:
i think it would be A
Step-by-step explanation:
Answer: AD/CD = 2/5
Explanation:
Triangle ABC is similar to triangle DEC on the basis of AA(Angle angle)
Recall, if 2 triangles are similar, it means that the ratio of their corresponding sides are equal. Thus,
AB/DE = BC/EC = AC/DC
From the information given,
AB/DE = 7/5
Thus,
AC/DC = 7/5
AD + CD = AC
(AD + CD)/DC = 7/5
AD/DC + CD/DC = 7/5
AD/DC + 1 = 7/5
AD/DC = 7/5 - 1
AD/DC = 2/5
AD/CD = 2/5
Answer:
y=3/2x-7
Step-by-step explanation:
the equation of the line for slope-intercept form is y=mx+b, where m is the slope and b is the y intercept.
we are given two points: (4,-1) and (8,5)
the equation for slope is (y2-y1)/(x2-x1)
label the points:
x1=4
y1=-1
x2=8
y2=5
now substitute into the equation:
m=(5--1)/(8-4)
m=6/4
m=3/2
the slope of the line is 3/2
here is our equation so far:
y=3/2x+b
we need to find b
since the equation will pass through the points, we can substitute either one into the equation to find b
let's use (4,-1) as an example
substitute into the equation
-1=3/2(4)+b
-1=6+b
-7=b
the y intercept is -7
so the equation is y=3/2x-7
hope this helps!
Answer
After the 10 years with accrued interest, there will be roughly $1,552.92 in the account.
Explanation
Using the given equation A = P(1 +r)^t
We are given that our initial start is $500.
P = 500
We are further told that the percentage interest gained is 12%, so we need to convert this into a decimal to be able to work with it.
12% / 100% = 0.12
r = 0.12
t is then our time in years
t = 10
A = 500(1 + 0.12)^10
A = 500(1.12)^10
A = 500(3.1058)
A = 1,552.92
After the 10 years with accrued interest, there will be roughly $1,552.92 in the account.
