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4 years ago

Fill in the blank for the following two-column proof. [SEE ATTACHMENT]

Mathematics

1 answer:

mariarad [96]4 years ago

8 0

Answer:

commutative property

Step-by-step explanation:

subtract 1 on but sides

hope this helps

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Jenna just opened a checking account at the bank. Within the first month, she deposited three checks for $34.98, $51.02, and $51

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5.22 5.23 7.89 34.98 51.02 51.22

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3 years ago

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A graphic charges a fee of 1600 to design a poster for a jazz festival the designer also receives 8% commission on sales of the

iris [78.8K]

Answer:

The total income of designer from this work is $1649.6.

Step-by-step explanation:

The fees charged by the designer = $1600

The commission on total sales = 8%

Total sales amount in the festival = $620

Now, 8% of $620 = $\frac{8}{100} \times 620 = 49.6$

So, the commission on total sales = $49.6

Also, Total Income of the designer = Deign Fee + 8% Commission fee

= $1600 + $49.6

= $1649.6

Hence, the total income of designer from this work is $1649.6.

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4 years ago

Use the continuous compound interest formula to find the indicated value. A=90,000; P=65,452; r=9.1%; t=? t=years (Do not round

Butoxors [25]

$\bf \qquad \textit{Simple Interest Earned}\\\\
A=Pe^{rt}\qquad 
\begin{cases}
A=\textit{accumulated amount}\to &90,000\\
P=\textit{original amount}\to& \$65,452\\
r=rate\to 9.1\%\to \frac{9.1}{100}\to &0.091\\
t=years
\end{cases}$

$\bf 90000=65452e^{0.091t}\implies \cfrac{90000}{65452}=e^{0.091t}\implies \cfrac{22500}{16363}=e^{0.091t}
\\\\\\
\textit{taking \underline{ln} to both sides}\qquad ln\left( \cfrac{22500}{16363} \right)=ln\left( e^{0.091t} \right)
\\\\\\
ln\left( \cfrac{22500}{16363} \right)=0.091t\implies 
\cfrac{ln\left( \frac{22500}{16363} \right)}{0.091}=t$

7 0

3 years ago

Explain the relationship between the legs and the hypotenuse of a right triangle.

podryga [215]

Answer:

According to the pythagorean theorem, a^2 + b^2 =c^2

c signifies the hypotenuse

a and b are the two legs

the sum of the two legs squared measures will equal the measure of the hypotenuse squared.

Step-by-step explanation:

6 0

4 years ago

The function p(x) = 2(x-9)2 + 100 is used to determines the profit on T-shirts sold for x dollars. What would the profit from sa

Jet001 [13]

Answer:

the profit will be $172

Step-by-step explanation:

The function given is:

p(x) = 2(x-9)^2 + 100

Where x is the price of the each shirt.

if each shirt is sold for $15, hen x = 15.

the profit will be:

p(15) = 2(15-9)^2 + 100

p(15) = 2(6)^2 + 100

p(15) = 2(36) + 100

p(15) = 72 + 100

p(15) = 172

So, the profit will be $172

3 0

3 years ago