Step-by-step explanation:
step 1. let's call the amount of money A, the initial amount A¡, the rate r, and the time t.
step 2. A = A¡e^(rt) (continuously compounding equation)
step 3. A = 125000e^((.0475)(15))
step 4. A = $254,885.32
Find the attached image , A detailed answer is given.
Answer:
2x = 256
Step-by-step explanation:
Your problem → 82.5 + 8(0.25x) = 338.5
82.5+8(0.25x)=338.5
⇒-256+80.25x=0
⇒2x-256=0
⇒2x=256
⇒x=256/2
⇒x=128
Answer:
I think it would be a
Step-by-step explanation:
I think it would be a because when you divide by a negative number the sign flips
Answer:
1) 2 hours
2) 96 miles
Step-by-step explanation:
1) Eliot and William went hiking. They went at the same speed. Let x mph be their speed.
<u>Elliot:</u>
Distance = 8 miles
Speed = x mph
Time
hours
<u>William:</u>
Distance = 12 miles
Speed = x mph
Time
hours
It took Eliot
less than William, then
![\dfrac{8}{x}+\dfrac{2}{3}=\dfrac{12}{x}\\ \\\dfrac{2}{3}=\dfrac{12}{x}-\dfrac{8}{x}\\ \\\dfrac{2}{3}=\dfrac{4}{x}\\ \\2x=3\cdot 4\ \ [\text{Cross multiply}]\\ \\2x=12\\ \\x=6\ mph](https://tex.z-dn.net/?f=%5Cdfrac%7B8%7D%7Bx%7D%2B%5Cdfrac%7B2%7D%7B3%7D%3D%5Cdfrac%7B12%7D%7Bx%7D%5C%5C%20%5C%5C%5Cdfrac%7B2%7D%7B3%7D%3D%5Cdfrac%7B12%7D%7Bx%7D-%5Cdfrac%7B8%7D%7Bx%7D%5C%5C%20%5C%5C%5Cdfrac%7B2%7D%7B3%7D%3D%5Cdfrac%7B4%7D%7Bx%7D%5C%5C%20%5C%5C2x%3D3%5Ccdot%204%5C%20%5C%20%5B%5Ctext%7BCross%20multiply%7D%5D%5C%5C%20%5C%5C2x%3D12%5C%5C%20%5C%5Cx%3D6%5C%20mph)
So, William's hike was

hours long.
2) <u>Initially:</u>
Distance = 120 miles
Speed = 55 mph
Time
hours
<u>Final:</u>
Speed = 44 mph
Time
hours
Distance 