Answer:
present value = $16750
Step-by-step explanation:
The simple interest formula allows us to calculate A, which is the final amount. According to this formula, the amount is given by A = P (1 + r*t), where P is the principal, r is the annual interest rate in decimal form, and t is the loan period expressed in years
simple interest formula:
t: time
P: present value
A: amount
r
: anual interest
A = P (1 + r*t)
P = A / (1 + r*t)
P = 19,513.75 / (1 + 3/100 * 5.5)
P = 19,513.75/ (1 + 0.165)
P = 19,513.75 / 1.165
P = 16750
present value = $16750
Aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
Answer:
- As the slopes of both lines 'm' and 'n' are the same.
Therefore, we conclude that the equation x-2y=4 represents the equation of the line 'n' if lines m and n are parallel to each other.
Step-by-step explanation:
We know that the slope-intercept of line equation is

Where m is the slope and b is the y-intercept
Given the equation of the line m
y = 1/2x - 4
comparing with the slope-intercept form of the line equation
y = mx + b
Therefore,
The slope of line 'm' will be = 1/2
We know that parallel lines have the 'same slopes, thus the slope of the line 'n' must be also the same i.e. 1/2
Checking the equation of the line 'n'

solving for y to writing the equation in the slope-intercept form and determining the slope

Add -x to both sides.


Divide both sides by -2


comparing ith the slope-intercept form of the line equation
Thus, the slope of the line 'n' will be: 1/2
- As the slopes of both lines 'm' and 'n' are the same.
Therefore, we conclude that the equation x-2y=4 represents the equation of the line 'n' if lines m and n are parallel to each other.
Answer:
10 possible outcomes
S = {a6, a7, e6, e7, i6, i7, o6, o7, u6, u7}
Step-by-step explanation:
As there are 5 vowels and 2 numbers that have to be chosen, the total outcomes are
= 5x2 = 10
Each vowel can be chosen with 6 or with 7
Let S be the sample space
a vowel will be chosen first then there is possibility that either the number chosen with it is either 6 or 7 so each vowel will have two possible outcomes with the number
S = {a6, a7, e6, e7, i6, i7, o6, o7, u6, u7} ..
The unit rate for the 1st one is: $0.19 / ounce
The unit rate for the 2nd one is: $0.16 / ounce
The 36 ounce box would be the better buy because it is less per ounce than the 24 ounce box