Barney made $50,000 last year. He increases amount by 8% this year how much does he make this year?

Mathematics

1 answer:

bekas [8.4K]2 years ago

3 0

Answer:$54000

Step-by-step explanation:

8%of50000=4000

4000+50000=54000

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Use slopes to determine if the lines y=−4 and x=−1 are perpendicular.

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Answer:

they are perpindicular because they intersect at a right angle

Step-by-step explanation:

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2 years ago

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For a school fund raising project, Aiden and Jacob collected money in the ratio of 3.5 : 6.8. Jacob collected $115.50 more than

user100 [1]

X - the amount of money collected by Aiden
y - the amount of money collected by Jacob

Aiden and Jacob collected money in the ratio of 3.5 : 6.8.
$\frac{x}{y}=\frac{3.5}{6.8} \\
6.8x=3.5y \\
x=\frac{3.5}{6.8}y \\ x=\frac{35}{68}y$

Jacob collected $115.50 more than Aiden.
$x+115.5=y \\
x=y-115.5 \\ \\
x=x \\
\frac{35}{68}y=y-115.5 \\
\frac{35}{68}y-y=-115.5 \\
\frac{35}{68}y-\frac{68}{68}y=-115.5 \\
-\frac{33}{68}y=-115.5 \\
y=-115.5 \times (-\frac{68}{33}) \\
y=238 \\ \\
x=y-115.5=238-115.5=122.5 \\ \\
x+y=238+122.5=360.5$

The total amount of money they collected is $360.50.

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3 years ago

If the diameter of a circle is 6 inches, how long is the arc subtended by an angle measuring 70°?

yaroslaw [1]

Since the diameter of the circle is 6 inches, then the radius will be half that, or 3 inches,

$\bf \textit{arc's length}\\\\
s=\cfrac{r\pi \theta }{180} \quad 
\begin{cases}
r=radius\\
\theta =angle~in\\
\qquad degrees\\
------\\
r=3\\
\theta =70
\end{cases}\implies s=\cfrac{3\cdot \pi \cdot 70}{180}\implies s=\cfrac{7\pi }{6}$

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3 years ago

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-3(x + 5) = -9
-3x + -15 = -9
-3x - 15 = -9
-3x - 15 + 15 = -9 + 15 (we added 15 to both sides of the equation because now, the 15 on the left side cancels out).
-3x = 6
-3x/-3 = 6/-3
X = -2
So, in conclusion, X is equal to -2.

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2 years ago

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Lisa's store collects 5% sales tax on every item sold if if she caused if she collected $22. In sales tax what was the cost of t

Advocard [28]

Im assuming the question is asking: if she collected $22 in sales tax what was the cost of the items her store sold. you should make sure you type the question correctly otherwise it'll be hard to answer.

going with my assumption of what the question is, we want to find the total cost of all items her story sold. let that cost be c. since there is 5% sales tax on everything and we know the sales tax is worth $22,m we have:

5%(c) = 22
dividing both sides by 5% (or .05) gives:
c = $440

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3 years ago