A1) Using estimate, the solutions to the following are:
A) is -14.
B) is 31.
C) is 38.
D) is -74.
1. The remaining amount in Brock's account after writing the checks is <u>$2,290</u>.
2. Linda put <u>$831</u> in her savings account after meeting her expenses.
<h3>What is an estimate?</h3>
An estimate is a rough calculation.
To do an estimate, the figures may be appropriated or rounded up.
<h3>Estimates:</h3>
A. –42.3 ÷ 3.4
= -14 (–42 ÷ 3)
B. 16.1 – (–14.7)
= 31 (16 – (–15)
C. –15.52 + 54.25
= 38 (–16 + 54)
D. ‐67.8 ‐ 5.72
= -74 (‐68 ‐ 6)
<h3>Brock:</h3>
The amount in Brock's checking account = $3,084
<u>Checks</u>:
Rent $350
Auto repair $275
Loan payment of $169
Total amount for checks = $794
Remaining amount = $2,290 ($3,084 - $794)
<h3>Linda:</h3>
The total amount of the paycheck = $2,312
<u>Expenses</u>:
Rent $157
Food $322
Child care $478
Transportation $234
Miscellaneous expenses $290
Total expenses = $1,481
Savings account = $831 ($2,312 - $1,481)
Learn more about estimates at brainly.com/question/658983
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706286 to the nearest ten thousand is 706,000
Answer:
x = 0
Step-by-step explanation:
To solve this equation you would need to get x by itself on one side
1/2 (x+4)^2 - 5 = 3
1.) add 5 to both sides
1/2 (x+4)^2 = 8
2.) divide each side by 1/2
(x+4)^2 = 16
3.) find the square root of both sides
(x+4) = 4
4.) subtract 4 from both sides
x = 0
The app "Photomath" is a great way to solve problems like these and it gives a step by step explanation that might be easier to understand than mine :)
Answer:
See below.
Step-by-step explanation:
1)
So we have:
This can be interpreted as:
"There exists a natural number <em>x</em> and an integer <em>y</em> such that x² is equal to y²."
2)
So we want even numbers are in the set of integers.
This is interpreted as:
"The set of even numbers (2n such that n is an integer) is in the set of integers"