Answer:
Step-by-step explanation:
Part A
The function representing the amount of money in account A after x years is represented by the function
f(x) = 9,628(0.92)x
The amount of money in account A is decreasing by 8% per year.
Part B
The table showing the amount g(r), in dollars, of money in account B after r years with number of years given as 1 2 3 4 and amount in dollars) 1,375 1,512.50 1,663.75 1,830.134.
Looking at the table,
The change per year is
(1512.5 - 1375)/1375 = 137.5/1375 = 0.1
The percentage change is 0.1× 100 = 10%
The amount in account B increases by 10%
Therefore, account B recorded a greater percentage change in amount of money over the previous year since the change in account B is 10℅ which is greater than 8% in account B
A=<1,-3,2> and b=<-1,3,-2>
a-3b=<1,-3,2>-3<-1,3,-2>
a-3b=<1,-3,2>-<3(-1),3(3),3(-2)>
a-3b=<1,-3,2>-<-3,9,-6>
a-3b=<1-(-3),-3-9,2-(-6)>
a-3b=<1+3,-12,2+6>
a-3b=<4,-12,8>
Answer: a-3b=<4,-12,8>
Answer:
3) x=4 4)x = 9 5) x=5
Step-by-step explanation:
3) first you have to find the inside of the angle. A straight line = 180*
180-(19x+3) = 177-19x
Than you add all the angles up to equal 180.
(177 - 19x) + (11x-2) + (9x+1) = 180
if you simplify this x = 4. You can check your answer by subbing in for x.
4)first you have to find the inside of the angle. A straight line = 180*
180- (17x-23) = 203-17x
Than add the sides up to equal 180. keep in mind there are 2 of the same angles.
(203-17x)+(7x+2)(2) = 180
Simplify
x=9
5) 180-151=29* this is the inner angle.
(11x-1)+(20x-3)+29=180
31x+25=180
x=5
Answer:
60 kilometers per hour (kmph) over the limit
Step-by-step explanation:
The speed limit is 60 kmph
Let's find his original rate:
We know D = RT
Where
D is the distance, in km
R is the rate, in kmph
T is the time in hours
He went 10 km in 5 minutes, so we need the time in hours, first. That would be:
5/60 = 1/12 hour
So, putting into formula, we find rate:
D = RT
10 = R(1/12)
R = 10/(1/12)
R = 10 * 12
R = 120 kmph
He was going over by:
120 - 60 = 60 kmph
