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:
1. Use the Adjacent and opposite side (Ignore the Hypotenuse)
Or use HERO'S FORMULA based on the information given
2. Area = 216cm^2
Step-by-step explanation:
There are three to four ways we can go about finding the area of a triangle. And a these would be dependent on the information given about the triangle.
From the question, you said the three side lengths are given. In such case, we employ the HERO FORMULA.
HERO FORMULA:
Area = √ s(s-a)(s-b)(s-c)
where s = 1/2(a + b + c)
a, b, c are the three sides
But since the question insisted that we use 1/2* base * height. Let's use our know of right angle to dissolve that.
A right angle triangle has three sides. The longest is always the Hypotenuse.
Let's take it this way.
Hypotenuse = 30cm
Opposite= 18cm
Adjacent = 24cm
Area = 1/2 * base * height
Area = 1/2 * 18 * 24
Area = 1/2 * 432
Area = 216cm^2
We ignored the longest side, (the Hypotenuse)
Answer:
The first term is 14.
Step-by-step explanation:
The general formula for this kind of sequence (arithmetic) is a(n) = a(1) + (n-1)c, where c is the common difference. Here, we have a(6) = -1 = a(1) + (6-1)(-3), or -1 +15 = a(1). The first term is 14.
Answer:
<h2><u><em>
11</em></u></h2>
Step-by-step explanation:
Rahul have 55 chocolate he gave 4/5 chocolate to his friend how much chocolate are left with him
55 = 5/5
5/5 - 4/5 = 1/5
55 : 5 = <u><em>11</em></u>
