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kow [346]
2 years ago
10

This year, Mr. Thomas will earn 15% more than he did last year. If he earned $50,000 last year, how much will he earn this year?

Mathematics
2 answers:
asambeis [7]2 years ago
8 0
Hi! Im pretty sure the answer is 57,500!
Lady_Fox [76]2 years ago
8 0
$57,500 is the answer
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The Perimeter is x+38
OLga [1]
P=x+38

add all individual sides together (is also the perimeter):
p=(x+3)+(x-5)+x+(x-2)+(x-4)+(x-1)+(x-1)
=7x-10

set both p equal:
x+38=7x-10
38=6x-10
48=6x
8=x

then insert x=8 in all the side/perimeter equations:
p=x+38=8+38=46

sides:
x=8
x-2=8-2=6
x-1=8-1=7
x-4=8-4=4
x-5=8-5=3
x+3=8+3=11
8 0
3 years ago
Solve the equation for all values of x by completing the square.<br> 3x^2-60x+255=0
erik [133]

Answer:

x=5 and x=15

Step-by-step explanation:

3x^2-60x+225=0

3x^2-60x+225/3=0/3

x^2-20x+75=0

x^2-5x-15x+75=0

x(x-5)-15(x-5)=0

(x-5)(x-15)=0

x-5=0 x-15=0

x=5 x=15

4 0
3 years ago
Let f(x) = -5e^(-x/3)<br><br> Find f^(6) (1)
Luba_88 [7]

Let's take the first derivative:

f'(x) = (-5e^{-x/3})' = -5 \times (e^{-x/3})' = -5e^{-x/3} \times \left(-\dfrac{1}{3}\right) = \dfrac{5}{3}e^{-x/3}.

Notice that we can write this as:

f'(x) = -\dfrac{f(x)}{3}.

By taking the derivative of both sides n times, we get:

f^{(n+1)}(x) = -\dfrac{f^{(n)}}{3}.

This means that each time you take a derivative, a factor of -\dfrac{1}{3} will appear. So we conclude that:

f^{(n)}(x) = \left(-\dfrac{1}{3}\right)^nf(x).

Taking n=6 and x=1, we get:

f^{(6)}(1) = \left(-\dfrac{1}{3}\right)^6 f(1) = \dfrac{-5e^{-1/3}}{729} = -\dfrac{5}{729}e^{-1/3}.

So we finally get:

\boxed{-\dfrac{5}{729}e^{-1/3}}.

6 0
3 years ago
READ THE QUESTIONS CAREFULLY- AND PLEASE HELP QUICK &lt;3
arlik [135]

Answer:jsdjjadoji

Step-by-step explanation:

6 0
3 years ago
Can someone help me with this
STatiana [176]

Answer:

Step-by-step explanation:

Plot the center point, C.

angle APC = 68/2 = 34°

angle ACP = 90°-34° = 56°

Arc AB subtends a central angle of 2×56° = 112°

3 0
2 years ago
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