Answer: y= - 4x+18
Step-by-step explanation:
Equation: y=mx+b
***remember: b is the y-intercept and m is the slope.
m=
3= x1
2= x2
6= y1
10=y2
m=
= 
= -4
m=-4
Now we have y=-4x+b , so let's find b.
You can use either (x,y) such as (3,6) or (2,10) point you want..the answer will be the same:
(3,6). y=mx+b or 6=-4 × 3+b, or solving for b: b=6-(-4)(3). b=18.
(2,10). y=mx+b or 10=-4 × 2+b, or solving for b: b=10-(-4)(2). b=18.
Equation of the line: y=-4x+18
Answer:
240$
Step-by-step explanation:
we know that
The simple interest formula is equal to
I=P(rt)
where
I is the Final Interest Value
P is the Principal amount of money to be invested
r is the rate of interest
t is Number of Time Periods
in this problem we have
Sandra
t = 1 year
I= $75
P= $2,500
r= ?
substitute in the formula above
75=2,500 (r(1))
solve for r
r=75/2,500)
r= 0.03
Convert to percentage form
r= 0.03 * 100 = 3%
Ron
t=1 year
I = ?
P= 8,000
r= 0.03
substitute in the formula of interest
I = 8,000(0.03 *1)
I = $240
Answer:
Option D RX=4 units
Step-by-step explanation:
we know that
<em>In the right triangle RTS</em>
The cosine of angle TRS is equal to
cos(TRS)=RT/RS
substitute
cos(TRS)=6/9 -----> equation A
<em>In the right triangle RTX</em>
The cosine of angle TRX is equal to
cos(TRX)=RX/RT
substitute
cos(TRX)=RX/6 -----> equation B
∠TRS=∠TRX -----> is the same angle
Match equation A and equation B
6/9=RX/6
RX=6*6/9=4 units
Answer:
A
Step-by-step explanation:
The explicit formula for a geometric sequence is
f(n) = f(1) 
where f(1) is the first term and r the common ratio
Here f(1) = 64 and r = 
= 
= 
, then
f(n) = 64 
→ A
