Answer:
The correct answer is $2430.
Step-by-step explanation:
According to the question, Jose's expenses are at least $486 ($436 for the car loan payment and $50 for the credit card monthly payment.) It is necessary to add some other expenses related to the house, such as groceries, which in addition result in $2430, so it is the correct answer.
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Use the compound interest formula:
A = P(1+r/n)^(n*t)
where in this case,
A = 12000 = amount after t years
P = unknown = deposited amount we want to solve for
r = 0.05 = the decimal form of 5% interest
n = 1 = refers to the compounding frequency (annual)
t = 10 = number of years
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Plug all these values into the equation, then solve for P
A = P(1+r/n)^(n*t)
12000 = P(1+0.05/1)^(1*10)
12000 = P(1.05)^(10)
12000 = P(1.62889462677744)
12000 = 1.62889462677744P
1.62889462677744P = 12000
P = 12000/1.62889462677744
P = 7366.95904248911
P = 7366.96
Answer:
6 days
Step-by-step explanation:
Given
Zoe
Sold out = 12
Rate = 2 daily
Josiah
Sold out = 0
Rate = 4 daily
Required
Determine when they sell the same number of tubs
Represent days with d
The number of tubs sold in any give day can be calculated using:
Tubs = Sold out + Rate * Number of days
For Zoe:
Expression: 12 + 2 * d
Expression: 12 + 2d
For Josiah
Expression: 0 + 4 * d
Expression: 4 * d
Expression: 4d
Next, we equate both expressions to get the number of days
4d = 12 + 2d
Collect like terms
4d - 2d = 12
2d = 12
Solve for d
d = 12/2
d = 6
Hence, it'll take 6 days
it's 3:1 because if liz has one ken doll she three times as many as that.
Answer:
When evaluating an algebraic expression the first thing you do is that you observe what would be the first operation applied on the expression.
In order to determine that you need to know the basic concept of PEMDAS
Where as
P stands for Parentheses (brackets)
E stands for exponents
M stands for multiplication
D stands for division
A stands for addition
S stands for subtraction
This is the order that needs to be kept in mind while solving the expression
3x = 6 (Subtraction)
x = 2
Give a reason for the last step in the argument shown.
A)
addition
B)
division
C)
subtraction
D)
multiplication
Answer: The correct answer is B) division.
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given:
3(x + 4) = 18 (Given)
3x + 12 = 18 (Distributive Property)
3x = 6 (Subtraction)
x = 2
To obtain the result, in the last step we have to divide both sides by 3.
Mathematically speaking:
3x÷3 = 6÷3
x =2
So, the correct answer is B) division.
Feel free to ask for more if it´s necessary or if you did not understand something.
Answer:
The graphical representation of the intervals as well as the solutions of the operation on the number line can be found in the attachment.
A ∪ B = (0, 6) ∪ (12, 24)
C ∩ D = (0, 6) ∩ (14, 24)
Question:
To control the pandemic, people have been restricted from leaving their homes. This measure is called quarantine and is one of the main ways to decrease the number of infections. The exit restrictions that have been taken are the following: o
• A: In Guayaquil, the first week you could not leave home from 12:00 to 6:00.
• B: In the rest of the country, the first week you could not leave home from 8:00 p.m. to 6:00 a.m.
• C: In the whole country, from the third week onwards you cannot leave the house from 2:00 pm to 6:00 am.
• D: If the cases of contagion continue to increase potentially, a 24-hour restriction would be considered. Activities 1. Represent in the form of an interval and on the number line the 4 cases of restrictions posed.
2. Solve the interval corresponding to the following operations: A∪B; C∩D
Step-by-step explanation:
1. The time in Hours is represented on the number line.
A) Restrictions From 12.00pm until 6.00am
In hours: 0 to 6.00am; 12.00pm to 24.00pm
(0, 6); (12, 24)
B. Restriction from 8.00pm to 6.00am
In hours: 20:00pm to 24.00pm; 0 to 6:00 am
(0, 6); (20, 24)
C. Restriction from 2.00pm to 6.00am
In hours: 14:00pm to 24.00pm; 0 to 6:00am
(0, 6); (14, 24)
D. 24hr restrictions
In hours: 00:00am until 24:00pm
(0, 24)
2. From the graph,
A ∪ B = (0, 6) ∪ (12, 24)
C ∩ D = (0, 6) ∩ (14, 24)
Where '∪' mean the union of A and B. That is, we combine all the element of A and B together.
And '∩' mean the intersection of C and D. That is we pick the values common to C and D.