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:
<u>150</u>
Step-by-step explanation:
Let :
⇒ The numbers can be denoted as <u>x</u>, <u>3x</u>, and <u>5x</u>
<u />
=============================================================
Solving :
⇒ It mentions their sum is 270
⇒ x + 3x + 5x = 270
⇒ 9x = 270
⇒ x = 30
=============================================================
Largest number :
⇒ 5x
⇒ 5(30)
⇒ <u>150</u>
Answer:
4,9
Step-by-step explanation:
(1). 4,9 are not prime number
(2) 4=1×2×2
9 = 1×3×3
so,
HCF of 4,9 will be
= 1.
Answer:
<h2>250%</h2>
Step-by-step explanation:
So first lets divide!
10÷4=2.5
Now, 2.5 x 100 = 250!
Hope this helped! Have a great day!
Answer:
(0,-6), (-2,0)
Step-by-step explanation:
-3x-y=6
-y=6+3x
y=-3x-6
when x=0, y=-6
when y=0 x=-2
