Answer: a)
b)
c)
d) ![b^n=c](https://tex.z-dn.net/?f=b%5En%3Dc)
Step-by-step explanation:
Since f is an exponential function.
So, it is expressed as
![f = p(1 + r)^](https://tex.z-dn.net/?f=f%20%3D%20p%281%20%2B%20r%29%5E)
Here f is the present value
p is the initial value
r is the rate of growth per time period
t is the time period.
(a) b represents the 1-unit growth factor for f.
![b= p(1 + r)^1](https://tex.z-dn.net/?f=b%3D%20p%281%20%2B%20r%29%5E1)
(b) c represents the n n-unit growth factor for f.
![c= p(1 + r)^n](https://tex.z-dn.net/?f=c%3D%20p%281%20%2B%20r%29%5En)
(c) d represents the m m-unit growth factor for f.
![d= p(1 + r)^m](https://tex.z-dn.net/?f=d%3D%20p%281%20%2B%20r%29%5Em)
Write a formula that expresses c in terms of b.
Since
Hence, a)
b)
c)
d) ![b^n=c](https://tex.z-dn.net/?f=b%5En%3Dc)
Repeated
the lowest first digit can be 2
hmm, 5 numbers
the smallest number is 211
1 cannot be used for the first number, leaving 4 choices for the first number
the last 2 numbers can be any of the 5 numbers so 5 choices each for each of those slots
so
4*5*5=100
there are 100 numbers
B is answer
M < 2 and m < 3 are supplementary angles which add up to 180 degrees.
< 2 + < 3 = 180
3x + 17 + 5x - 21 = 180
8x - 4 = 180
8x = 180 + 4
8x = 184
x = 184/8
x = 23
m < 2 = 3x + 17 = 3(23) + 17 = 69 + 17 = 86 degrees
m < 3 = 5x - 21 = 5(23) - 21 = 115 - 21 = 94 degrees
m < 1 and m < 2 are corresponding angles....they are equal.
so m < 1 = 86 degrees <===
Answer:
d) m<J = 115, m<K = 130, m<M = 50, m<N = 65
Step-by-step explanation:
The sum of interior angles in this rectangle is equal to 360
if we add all the given angles 7x + 10 = 360 subtract 10 from both sides
7x = 350 divide both sides by 7
x = 50 to find the measure of each angle replace x with 50
Answer:
Step-by-step explanation:
<u>Given</u>
- 0,324km+32mm+125cm+2,22dm+43dm= ? m
<u>Solution</u>
- 0.324 km = 0.324*1000m = 324 m
- 32 mm = 32/1000 m = 0.032 m
- 125 cm = 12/100 m = 1.25 m
- 2.22 dm + 43 dm = 45.22 dm = 45.22/10 m = 4.522 m
<u>Sum</u>
- 324 m + 0.032 m + 1.25 m + 4.522 m = 329.804 m
<u><em>Note. there is no dam unit, considered as dm</em></u>