Answer:
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Answer:
7.4 in
Step-by-step explanation:
Surface area of a cube = 6s²
(where s is the side length)
Given:
Substituting the given value into the formula and solving for s:
⇒ 328.56 = 6s²
⇒ 328.56 ÷ 6 = 6s² ÷ 6
⇒ 54.76 = s²
⇒ s = √54.76
⇒ s = 7.4 in
Answer:21
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Step-by-step explanation:
Answer: She started with $160.
It will take 6 weeks before she has less than half of what she originally invested.
Step-by-step explanation:
If her money is decreasing in value by 11% each week, it means that the rate at which it is decreasing is exponential.
We would apply the formula for exponential decay which is expressed as
A = P(1 - r)^t
Where
A represents the value of the investment after t weeks.
t represents the number of weeks.
P represents the initial value of the investment.
r represents rate of depreciation.
From the information given,
A = $142.40
r = 11% = 11/100 = 0.11
t = 1
Therefore
142.40 = P(1 - 0.11)^1
142.40 = P(0.89)
P = 142.4/0.89
P = 160
For her to have half of what she invested originally, then
80 = 160(0.89)^t
80/160 = (0.89)^t
0.5 = (0.89)^t
Taking log of both sides to base 10
Log 0.5 = log0.89^t = tlog0.89
- 0.3010 = - 0.051t
t = - 0.3010/- 0.051
t = 5.9
Approximately 6 weeks
Answer:
y=17
Step-by-step explanation:
So the shape is a square, which means 1 is equal to 90 degrees. So, 4y+22=90
When you solve, you get 17:
4y=68
y=17