Answer:
Step-by-step explanation:
Investment = $5,000
Annual Interest = 5%
5000/100 x 5/1
50×5 = 250
First year interest = $250
Therefore, 250 x 20
= $5,000
It will take him 40 years.
Janae will have $ 95 in her account after 10 days.
<h3>What is an Arithmetic Progression?</h3>
A sequence of numbers that has a fixed common difference between any two consecutive numbers is called an arithmetic progression (A.P.)
Given,
Amount in Janae's account = $ 50
Amount she wishes to save for 10 days = $ 5
This scenario models an arithmetic progression(A.P)
In an A.P,
a _n = a + (n-1)d
where a _n = nth term, a is the first term, n is the no. of terms and d is the common difference.
In this question, a = 50, n = 10, d = 5 and we have to find out a _n
Therefore, a _n = 50 + (10-1)x5
= 50 + 45 = 95
Answer:- Janae will have $ 95 in her account after 10 days.
To learn more about arithmetic progression, refer to:
brainly.com/question/24191546
#SPJ10
Answer:
=−7p−23
Step-by-step explanation:
Answer:a. [tex] $f\propto L$ [\tex]
b. [tex] f \propto \sqrt{T} [\tex]
c. [tex] f \propto \frac{1}{\sqrt{P}} [\tex]
I. Decrease in length increases leads to increase in pitch.
II. Increase in tension leads to increase in pitch.
III. Increase in linear density reduces the pitch
Step-by-step explanation: I. Since the frequency is inversely proportional to the length increase in length leads to decrease in frequency likewise decrease in length leads to increase in frequency.
II. Since the frequency is directly proportional to the square root of the tension increase in tension leads to increase in frequency likewise decrease in tension leads to decrease in frequency.
III.since the frequency is inversely proportional to the square root of the linear density so increase in linear density leads to decrease in frequency and likewise decrease in linear density leads to increase in frequency.
Answer: see below
<u>Step-by-step explanation:</u>
The vertex form of a quadratic equation is: y = a(x - h)² + k where
- "a" is the vertical stretch (positive = min [U], negative = max [∩])
- (h, k) is the vertex
- Axis of Symmetry is always: x = h
- Domain is always: x = All Real Numbers
- Range is y ≥ k when "a" is positive or y ≤ k when "a" is negative
a) y = 2(x - 2)² + 5
↓ ↓ ↓
a= + h= 2 k= 5
Vertex: (h, k) = (2, 5)
Axis of Symmetry: x = h → x = 2
Max/Min: "a" is positive → minimum
Domain: x = All Real Numbers
Range: y ≥ k → y ≥ 5
b) y = -(x - 1)² + 2
↓ ↓ ↓
a= - h= 1 k= 2
Vertex: (h, k) = (1, 2)
Axis of Symmetry: x = h → x = 1
Max/Min: "a" is negative → maximum
Domain: x = All Real Numbers
Range: y ≤ k → y ≤ 2
c) y = -(x + 4)² + 0
↓ ↓ ↓
a= - h= -4 k= 0
Vertex: (h, k) = (-4, 0)
Axis of Symmetry: x = h → x = -4
Max/Min: "a" is negative → maximum
Domain: x = All Real Numbers
Range: y ≤ k → y ≤ 0
d) y = 1/3(x + 2)² - 1
↓ ↓ ↓
a= + h= -2 k= -1
Vertex: (h, k) = (-2, -1)
Axis of Symmetry: x = h → x = -2
Max/Min: "a" is positive → minimum
Domain: x = All Real Numbers
Range: y ≥ k → y ≥ -2
