We know that
circumference=2*pi*r
for r=65/2----> r=32.5 cm
circumference=2*pi*32.5-----> 204.1 cm
so
one revolution <span>of Emma’s bicycle</span> is equal to 204.1 cm-----> 2.041 m
3.2 km-------> 3200 m
1 revolution---------> 2.041 m
x rev------------> 3200 m
x=3200/2.041 ----> x=1567.86 revolutions
the answer is
1567 complete revolutions
Hi there
The formula is
A=p (1+r)^t
A future value 11700
P present value 900
R interest rate 0.0875
T time?
We need to solve for t
T=log (A/p)÷log (1+r)
So
T=log(11,700÷900)÷log(1+0.0875)
T=30.6years round your answer to get
T=31 years
Hope it helps
1.
"The spending limit on John’s credit card is given by the function f(x)=15,000+1.5x"
means that if the monthly income of John is $ 5,000 ,he can spend at most
f(5,000)=15,000+1.5*5,000=15,000+ 7,500=22, 500 (dollars)
Or for example
if Johns monthly income is $8,000, then he can spend at most
f(8,000)=15,000+1.5*8,000=15,000+ 12,000=27,000 (dollars)
2.
Now, assume that the maximum amount that John can spend is y.
Then, y=15,000+1.5x
we can express x, the monthly income, in terms of y by isolating x:
y=15,000+1.5x
1.5x = y-15,000
X=y-15,000/1.5
thus, in functional notation, x, the monthly income, is a function , say g, of variable y, the max amount:
X=g(y) y-15000/1.5
since we generally use the letter x for the variable of a function, we write g again as:
G (x) x-15000/1.5
tells us that if the maximum amount that John can spend is 50,000 $, then his monthly income is 23,333 $.
3.
If John's limit is $60,000, his monthly income is
G(600,000)=60,000-15,000/ 1.5=45,000/1.5 =30,000
dollars.
Answer: $ 30,000
Remark: g is called the inverse function of f, since it undoes what f does.
instead of g(x), we could use the notation
Step-by-step explanation:
B because the straight angle must be 180°
Answer:
65
Step-by-step explanation:
180-115=65 bc all the lines are parallel.
