Annuity formula is given by:
FV=P[(1+r)^n-1]/r
FV=future value
r=rate
n=time
P=principle
Plugging the value from the question we obtain:
FV=10000[(1+0.07)^6-1]/0.07
FV=71,532.91
Thus the current value of the annuity is given by:
A=p(1+r)^n
plugging in the values we obtain and solving for p we get:
71532.91=p(1+0.07)^6
p=71532.91/(1.07)^6
p=$47665.40
Hence the answer:
B] $47665
Plug in 2 for t.
=> -16*(2^2) +80*2 +3
=> -16*4 +160 +3
=> -64+163
=> 99
Answer:
Car = 10 miles/hour
Bus = 20 miles/hour
Step-by-step explanation:
Here,
Let, the value of the speed of the bus = X
the value of the speed of the car = 2X - 30 (As the speed of the car is 30mph slower than twice)
According to the question,
2X - 20 = 2*(2x-30)
or, 2X - 20 = 4X-60
or, 2X = 40
x = 20
Therefore, the speed of the bus, x = 20 miles/hour
So, the speed of the car is (2*20-30) mph = (40 - 30) mph = 10 miles/hour.
Answer:
1
Step-by-step explanation:
you simply divide 154 by 9, get around 17.1. 17 is the closest whole number answer, so 17*9 is 153.
do 154-153, you get 1.
not the best explaination but i hope it helps.
Answer:
The option "StartFraction 1 Over 3 Superscript 8" is correct
That is 
is correct answer
Therefore ![[(2^{-2})(3^4)]^{-3}\times [(2^{-3})(3^2)]^2=\frac{1}{3^8}](https://tex.z-dn.net/?f=%5B%282%5E%7B-2%7D%29%283%5E4%29%5D%5E%7B-3%7D%5Ctimes%20%5B%282%5E%7B-3%7D%29%283%5E2%29%5D%5E2%3D%5Cfrac%7B1%7D%7B3%5E8%7D)
Step-by-step explanation:
Given expression is ((2 Superscript negative 2 Baseline) (3 Superscript 4 Baseline)) Superscript negative 3 Baseline times ((2 Superscript negative 3 Baseline) (3 squared)) squared
The given expression can be written as
![[(2^{-2})(3^4)]^{-3}\times [(2^{-3})(3^2)]^2](https://tex.z-dn.net/?f=%5B%282%5E%7B-2%7D%29%283%5E4%29%5D%5E%7B-3%7D%5Ctimes%20%5B%282%5E%7B-3%7D%29%283%5E2%29%5D%5E2)
To find the simplified form of the given expression :
( using the property 
)
( using the property 
( combining the like powers )
( using the property 
)
( using the property 
)
Therefore
Therefore option "StartFraction 1 Over 3 Superscript 8" is correct
That is is correct answer
