Answer:
560,000L
Step-by-step explanation:
Given data
L=14m
W=8m
H=5m
Volume= L*W*H
Volume= 14*8*5
Volume= 560 m^3
1m^3 = 1000L
560m^3 = x
cross multiply
x= 560*1000
x= 560,000L
Hence the volume is 560,000L
Answer: 11
Step-by-step explanation:
Exponential Functions:
y=ab^x
y=ab
x
a=\text{starting value = }550
a=starting value = 550
r=\text{rate = }18.8\% = 0.188
r=rate = 18.8%=0.188
\text{Exponential Decay:}
Exponential Decay:
b=1-r=1-0.188=0.812
b=1−r=1−0.188=0.812
\text{Write Exponential Function:}
Write Exponential Function:
y=550(0.812)^x
y=550(0.812)
x
Put it all together
\text{Plug in y-value:}
Plug in y-value:
60=550(0.812)^x
60=550(0.812)
x
\frac{60}{550}=\frac{550(0.812)^x}{550}
550
60
=
550
550(0.812)
x
Divide both sides by 550
0.109091=0.812^x
0.109091=0.812
x
\log 0.109091=\log 0.812^x
log0.109091=log0.812
x
Take the log of both sides
\log 0.109091=x\log 0.812
log0.109091=xlog0.812
use power rule to bring x to the front
\frac{\log 0.109091}{\log 0.812}=\frac{x\log 0.812}{\log 0.812}
log0.812
log0.109091
=
log0.812
xlog0.812
Divide both sides by log(0.812)
10.638757=x
10.638757=x
x\approx 11
x≈11
Answer: (4, 8)
Step-by-step explanation:
When you translate something to the left you need to subtract the amount you moved left from the original x input
1. Subtract 3 from the coordinates x input
4 - 3 = 1
When you translate something up you need to add the amount you moved up to the original y output
2. Add 5 to the coordinates y output
-3 + 5 = 2
When done translating to the left and up your coordinate is now (1, 2)
When dialating something you need to multiply the scale factor in which you dialated the coordinate to both the x input and y output
3. Multiply 4 to the x input and y output of your newley translated coordinate
1 × 4 = 4 (x input)
2 × 4 = 8 (y output)
So now your final coordinate for C' is (4, 8)!
Hope this helps :)
The equation represents the value of the collection after 2 years is V = 140(1 + 0.15)^2.
<h3>What equation represents the value of the collection?</h3>
When the value of an asset appreciates,it means that the price of the item increases with the passage of time.
The formula for calculating future value with appreciation is:
FV = P (1 + r)^n
- FV = Future value
- P = Present value
- R = interest rate
- N = number of years
V = 140(1 + 0.15)^2.
To learn more about future value, please check: brainly.com/question/18760477
