Answer:
slope = 1/4
Step-by-step explanation:
If a equation is in form of y = mx + c
them m is the slope of line.
____________________________________________
Let Y(d) be the distance ran by Alexandria on dth day
Y(0) = 2
she adds 1/4 miles each day then
Y(1) = 2 + 1/4
Y(2) = 2 + 1/4 +1/4 = 2 +1/4(2)
Y(3) = 2 + 1/4 +1/4 +1/4= 2 +1/4(3)
.
.
.
.
similarly
in d days she can run 2 miles + 1/4*d miles
thus, we have
Y(d) = 2 + 1/4(d)
it can be also solved
Thus we see that it is a linear relationship y = 2 + 1/4(d)
which is in the form of y = mx + c
comparing mx to 1/4 d
we have m = 1/4
thus,
slope of this linear relationship is 1/4
Answer:
5040 ways
Step-by-step explanation:
That is 7 books.
So the number of ways is factorial 7 , written 7!.
= 7*6*5*4*3*2*1
= 5040 ways
B. The cost of orange juice is $3 per jug
A unit rate, in terms of mathematics, is a rate per unit.
Examples of unit rates are:
The car travels 25 km per hour
The cost of bags of apples is $6.00 per bag of apples.
The unit rate in these choices is Choice B:
The cost of orange juice is $3 per jug
The other choices are rates, not unit rates.
Answer:
At the end of 6 years, he would have paid $13985.6
Step-by-step explanation:
Initial amount taken as load is $10,000 This means that the principal
P = 10000
It was compounded annually. This means that it was cam pounded once in a year. So
n = 1
The rate at which the principal was compounded is 5.75%. So
r = 5.75/100 = 0.0575
it takes you six years to pay off the loan. So
t = 6
The formula for compound interest is
A = P(1+r/n)^nt
A = total amount of money that you would have paid back by the end of the six years. Therefore
A = 10000 (1+0.0575/1)^1×6
A = 10000(1.0575)^6 = $13985.6
Answer:
x = -17
Step-by-step explanation:
15+x = -2
x = -2 -15 (subtracting 15 both sides)
x = -17 Answer
Hope this helps!
