Answer:
z = - 0.78
Step-by-step explanation:
Given:
1/3(6z+7.2)=0.5(8z+2)-0.4
Open parenthesis
2z + 2.4 = (4z + 1) - 0.4
2z + 2.4 = - 1.6z - 0.4
Collect like terms
2z + 1.6z = - 0.4 - 2.4
3.6z = -2.8
z = -2.8 / 3.6
= - 0.78
Discounts are used to reduce the original price of an item.
David will pay $25 and 92 cents for an item of $32, before tax
The discount (d) is given as:

The price (p) of the item is given as:

So, the amount (A) paid before tax is calculated using:

Substitute known values

Express percentage as decimal

Subtract 0.19 from 1

Multiply 32 and 0.81

Hence, David will pay $25 and 92 cents for an item of $32, before tax
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In Five month Jay should have $15,000 in his account has emergency fund
<h3>Given Data</h3>
Earnings per month = $4000
Monthly Expenses = $3000
Monthly Rent = $2000 part of monthly expenses
After deducting monthly expenses from Monthly earning we have
4000-3000 = $1000
<h3>Determining the 5-months Emergency Funds</h3>
Since we have a monthly expenses of $3000 a five month emergency fund will be
= 3000*5
= $15,000
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The distance of the spaceship in discuss as in the task content given can be evaluated as; 800miles.
<h3>What is the distance the spaceship travels in 4 minutes?</h3>
The distance travelled by the spaceship in discuss can be evaluated by means of the slope of the linear relationship as follows;
Hence it follows from ratios that by observation, the linear relationship has a slope of 200mi/min.
Consequently, we can evaluate the distance travelled after 4 minutes as;
Distance = 200 × 4 = 800mi.
Ultimately, the distance travelled per minute by the spaceship is; 800mi.
Remarks:
600 miles
520 miles
800 miles
1,080 miles
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