Answer:
The heights are the same after 4 hours.
Step-by-step explanation:
The red candle burns at a rate of 7/10 inches per hour. In t hours, (7/10)t inches have burned. The height of the candle after t hours is 8 - (7/10)t.
The blue candle burns at a rate of 1/5 inch per hour. In t hours, (1/5)t inches have burned. The height of the candle after t hours is 6 - (1/5)t.
You need to find the time, t, when their heights are equal.
8 - (7/10)t = 6 - (1/5)t
Multiply both sides by 10 (the LCD).
80 - 7t = 60 - 2t
-5t = -20
t = 4
The heights are the same after 4 hours.
Answer:
= 391/11
Let say number = N
a certain number is increased by 5
= N + 5
,one-half of the result
= (N + 5)/2
Three -fifths of the excess of 61 over the number.
= (3/5)(61 - N)
Equating both
(N + 5)/2 = (3/5)(61 - N)
multiplying by 10 both sides
=> 5(N + 5) = 6(61 - N)
=> 5N + 25 = 366 - 6N
=> 11N = 391
=> N = 391/11
Step-by-step explanation:
Start from the end. 5+4*2. Which in turn equals 18 inches.
Step-by-step explanation:
Exponential Functions:
y=ab^x
y=ab
x
a=\text{starting value = }1600
a=starting value = 1600
r=\text{rate = }5.25\% = 0.0525
r=rate = 5.25%=0.0525
\text{Exponential Growth:}
Exponential Growth:
b=1+r=1+0.0525=1.0525
b=1+r=1+0.0525=1.0525
\text{Write Exponential Function:}
Write Exponential Function:
y=1600(1.0525)^x
y=1600(1.0525)
x
Put it all together
\text{Plug in time for x:}
Plug in time for x:
y=1600(1.0525)^{25}
y=1600(1.0525)
25
y= 5750.0628984
y=5750.0628984
Evaluate
y\approx 5750.06
y≈5750.06
