Answer:
16 gallons
Step-by-step explanation:
wheee
Compute each option
option A: simple interest
simple interest is easy
A=I+P
A=Final amount
I=interest
P=principal (amount initially put in)
and I=PRT
P=principal
R=rate in decimal
T=time in years
so given
P=15000
R=3.2% or 0.032 in deecimal form
T=10
A=I+P
A=PRT+P
A=(15000)(0.032)(10)+15000
A=4800+15000
A=19800
Simple interst pays $19,800 in 10 years
Option B: compound interest
for interest compounded yearly, the formula is
![A=P(1+r)^t](https://tex.z-dn.net/?f=A%3DP%281%2Br%29%5Et)
where A=final amount
P=principal
r=rate in decimal form
t=time in years
given
P=15000
r=4.1% or 0.041
t=10
![A=15000(1+0.041)^{10}](https://tex.z-dn.net/?f=A%3D15000%281%2B0.041%29%5E%7B10%7D)
![A=15000(1.041)^{10}](https://tex.z-dn.net/?f=A%3D15000%281.041%29%5E%7B10%7D)
use your calculator
A=22418.0872024
so after 10 years, she will have $22,418.09 in the compounded interest account
in 10 years, the investment in the simple interest account will be worth $19,800 and the investment in the compounded interest account will be worth$22,418.09
Answer:
1253/250
Step-by-step explanation:
Wow, what a coincidence, I just learned this at school today!
1. Slope
M= yb-ya/xb-xa
M= 8-4/8-6
M= 4/2
M= 2
2. Y-intercept
Y= mx + b
4 = (2)(6) + b
4 = 12 + b
4 = 12 + b
-12 = - 12 + b
-8 = b
Therefore, the equation is Y = 2x - 8
Answer:
176.39 inches or
14.70 feet
Step-by-step explanation:
Consider the right triangle made by Kristen, ground and shadow.
This triangle has one leg as 64 inches.
Next consider the right triangle formed by street light, ground upto shadow tip.
The two triangles have common angle of elevation and also another angle as 90 degrees.
Hence the two triangles would be similar
Also if A is the angle made by hypotenuse of both triangles with the ground we have
![tanx=\frac{64}{82}](https://tex.z-dn.net/?f=tanx%3D%5Cfrac%7B64%7D%7B82%7D)
This value also equals by bigger triangle as
![tanx=\frac{h}{82+12(12)}=\frac{h}{226}](https://tex.z-dn.net/?f=tanx%3D%5Cfrac%7Bh%7D%7B82%2B12%2812%29%7D%3D%5Cfrac%7Bh%7D%7B226%7D)
From these two we get
h = height of street light =![\frac{226(64)}{82} =176.39](https://tex.z-dn.net/?f=%5Cfrac%7B226%2864%29%7D%7B82%7D%20%3D176.39)