From the dot plot, we have that 90.91% of the students have 5 or more vowels in their first and last names.
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The dot plot states that:
- 2 students have 4 vowels in their first and last name.
- 3 students have 5 vowels.
- 8 students have 6 vowels.
- 9 students have 7 vowels.
Then:
- Total of 2 + 3 + 8 + 9 = 22 students.
- 3 + 8 + 9 = 20 have or more vowels.
90.91% of the students have 5 or more vowels in their first and last names.
A similar problem is given at brainly.com/question/14354536
The value of the building would be $699,400 in 4 years.
<h3>What will be the value of the building?</h3>
Depreciation is the when the value of an asset reduces as a result of wear and tear. Straight line depreciation is a method used in depreciating the value of an asset linearly with the passage of time.
The equation that can be used to determine the value of the building with a straight line depreciation is:
Value of the asset = initial value of the asset - (number of months x deprecation rate)
y = 829,000 - 2700x
The first step is to determine the number of months it would take for the building to have a value of $699,400.
$699,400 = 829,000 - 2700x
829,000 - 699,400 = 2,700x
129,600 = 2,700x
x = 129,600 / 2,700
x = 48 months
Now convert, months to years
1 year = 12 months
48 / 12 = 4 years
To learn more about depreciation, please check: brainly.com/question/11974283
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He will receive $30,641.85 = $30,176 + $465.85 (tax excess payment)
Since his filing status is single, he'll be taxed based on the single tax rate schedule. <span>10% for <span>$1 to $9,325. </span></span><span>15% for <span>$9,326 to $37,950.
9,325 x 10% = 932.50
30,176 - 9325 = 20,851 x 15% = 3,127.65
His total tax is 3,127.65 + 932.50 = 4,060.15; Since he paid 4,526 in federal taxes, 4,526 - 4,060.15 = 465.85 will be reimbursed.
Add his taxable income and the reimbursement to get the total amount he will receive for that year.
$30,176 + $465.85 = $30,641.85</span></span>
Answer:
Each muffin= 1.5; Each quart of milk= 3
Step-by-step explanation:
Let m represent muffins and q quarts of milk, so
8m+2q=18
3m+1q=7.50
*solve*
3m+1q=7.5
-1q -1q
3m=-1q+7.5
/3 /3 /3
m=-1/3q+2.5
*replace for m*
8(-1/3q+2.5)+2q=18
-2 2/3q+20+2q=18
-2/3q+20=18
-20 -20
-2/3q=-2
/-2/3 /-2/3
q=3
*replace to find m*
3m+1(3)=7.50
3m+3=7.5
-3 -3
3m=4.5
/3 /3
m=1.5
*replace to verify*
8m+2q=18
8(1.5)+2(3)=18
12+6=18
18=18
3m+1q=7.50
3(1.5)+1(3)=7.5
4.5+3=7.5
7.5=7.5
Answer:
f(x)=-6
Step-by-step explanation:
f(0.5) means that x=0.5, so you substitute the x with .5 and multiply it times 2 which will get you 1. Then you subtract 7 to get -6.
