Y = -2x + 8 <=== this would be ur equation where x is the number of hrs and y is the total distance (in miles) from home
Answer:
x = ± <u>-2</u>
<u>_</u>
3
Step-by-step explanation:
Combine Like Terms - 2x(3x) = 16
Calculate - 6x² = 16
Divide - x² = 8/3
Simplify - x = ± <u>-2</u>
<u>_</u>
3
Answer:
Step-by-step explanation:
V = 1/3 * pi * r^2 * h
d = 12
r = d/2
r = 12/2
r = 6
V = 1/3 * 3.14 * 6^2 * 8
V = 301.44
Answer:
mRS = 116
Step-by-step explanation:
If Segment SR ≅ TU then, arc SR ≅ arc TU
Thus, 6x - 28 = 4x + 20
^ ( note that this is the equation we will use to solve for x )
6x - 28 = 4x + 20
step 1 add 28 to each side
28 + -28 cancels out
28 + 20 = 48
we now have 6x = 4x + 48
step 2 subtract 4x from each side
6x - 4x = 2x
4x - 4x cancels out
we now have 2x = 48
step 3 divide each side by 2
2x / 2 = x
48 / 2 = 24
we're left with x = 24
Now to find the value of arc RS we substitute x with 24 in arc RS' given expression
arc RS = 6x - 28
* substitute x with 24 *
arc RS = 6(24) - 28
6 * 24 = 144
144 - 28 = 116
Hence, arc RS = 116
The amount of money in the account after 10 years is $278,814.10.
<h3>What will be the value of the account after 10 years?</h3>
The first step is to determine the amount she has left to invest.
Amount invested = amount won - amount spent on vacation
$250,000 - $10,000 = $240,000
The second step is to determine the future value of the account. The formula for calculating future value:
FV = P (1 + r)^nm
- FV = Future value
- P = Present value
- R = interest rate = 1/5/12 = 0.125%
- m = number of compounding =12
- N = number of years
240,000 x 1.00125^(12 x10) = $278,814.10
To learn more about future value, please check: brainly.com/question/18760477
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