Answer:you would have saved $31 after 5 days
Step-by-step explanation:
You double the number of dollars in the envelopes from the day before. This means the amount in a day is double the amount in the previous day. Therefore, amount of money in the envelope is increasing in geometric progression. The formula for determining the sum of n terms of a geometric sequence is expressed as
Sn = a(r^n - 1)/r - 1
Where
a represents the first term.
r represents the common ratio.
From the information given,
a = 1
r = 2
n = 5 days
S5 = 1(2^5 - 1)/2 - 1
S5 = 32 - 1 = 31
Answer:
Discontinuity of function occurs when x = 4 or x = -4
zero of function is when x=0
Step-by-step explanation:
We are given:
Discontinuity of the function occur when the denominator is equal to zero.
So, we need to find the values of x that makes the denominator zero.
The denominator is x^2 - 16
x^2 - 16 =0
x^2 = 16
x = ± 4
So, if the value of x = 4 or value of x=-4 then the function will be discontinuous.
Zero of the function i.e f(x)=0
So, Putting the function equal to zero and finding the value of x
So, zero of function is when x=0
The price of a staff ticket and the price of a student ticket is $8 and $14
Given:
Day 1:
Number of staff tickets sold = 3
Number of students tickets sold = 1
Total revenue day 1 = $38
Day 2:
<em>Number of staff tickets sold</em> = 3
<em>Number of students tickets sold</em> = 2
<em>Total revenue day</em> 2 = $52
let
<em>cost of staff tickets</em> = x
<em>cost of students tickets</em> = y
The equation:
<em>3x + y = 38 (1)</em>
<em>3x + y = 38 (1)3x + 2y = 52 (2)</em>
subtract (1) from (2)
2y - y = 52 - 38
y = 14
substitute y = 14 into (1)
3x + y = 38 (1)
3x + 14 = 38
3x = 38 - 14
3x = 24
x = 24/3
x = 8
Therefore,
cost of staff tickets = x
= $8
cost of students tickets = y
= $14
Read more:
brainly.com/question/22940808
I'm pretty sure you're supposed to use Pythagorean Theorem, so here goes:
a^2+b^2=c^2
=8^2+b^2=10^2
=64+b^2=100
=b^2=100-64
=b^2=36
=b=6
So, AD=6
Then, 6*2=12
AC=12cm
Answer:
Sales Tax is $1
Total Price is $21
Step-by-step explanation:
The subtotal of the shirt is $20.
Find the 5% tax.
20 * .05 = 1
The sales tax is $1.
This means that the total price is $21.
Subtotal + Tax = Price
$20 + $1 = $21
Hope this helps.
