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Vladimir [108]
3 years ago
9

A furniture store purchased a sofa for $400. The store set the retail price at a 50% markup. When Karen purchases the sofa, she

must also pay an 8% tax. How much does Karen pay for the sofa, including sales tax?
Mathematics
1 answer:
andre [41]3 years ago
6 0

Answer:

$648.

Step-by-step explanation:

$400+50% = $600

$600+8%=$648

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You invested money in two funds. Last year, the first fund paid a dividend of 8% and the second a dividend of 5%, and you receiv
Angelina_Jolie [31]

You invested 11000 in in 2st fund and 9000 in 2nd fund

<h3><u>Solution:</u></h3>

Given that, You invested money in two funds.  

Last year, the first fund paid a dividend of 8% and the second a dividend of 5%, and you received a total of $1330.  

This year, the first fund paid a 12% dividend and the second only 2%, and you received a total of $1500.

Let the amount in Fund I be $x and amount in Fund II be $ y

Then, for last year ⇒ 0.08x+0.05y=1330 ----- eqn (1)  

And for this year ⇒ 0.12x+0.02y=1500 ------- eqn (2)  

Multiply (1) by 2 ⇒ 0.16 x + 0.1 y = 2660  

Multiply (2) by 5 ⇒ 0.6 x + 0.1 y = 7500

Subtract the two equations  

(2) ⇒ 0.6x + 0.1y = 7500

(1) ⇒ 0.16x + 0.1y = 2660

(-) --------------------------------

0.44x + 0 = 4840

x = 11000

Now, from eqn (2)  

0.12(11000) + 0.02y = 1500  

0.02y = 1500 – 1320  

0.02y = 180  

y = 9000

Hence, he invested 11000 in in 2st fund and 9000 in 2nd fund

5 0
3 years ago
seven out of every 8 students surveyed owns a bike. The difference between the number of students who own a bike and those who d
guajiro [1.7K]
So if x people were surveyed, \frac{7}{8} people owned a bike and \frac{1}{8}  did not.

The difference between them is 72:
\frac{7}{8} x-\frac{1}{8} [/tex] =72
so this means that
\frac{6}{8} x=72

let's simplify:

\frac{3}{4} x=72

and divide by 3:

\frac{1}{4} x=24

and mupliply by 4:

x=96

so 96 people were surveyed







5 0
3 years ago
Find the length of YZ
emmainna [20.7K]
Larger triangle’s base length

a^2 + b^2 = c^2
a^2 + 3^2 = 8^2
a^2 = 8^2 - (3^2)
sqrt(a^2) = sqrt(55)
a = sqrt(55)
__________________

Smaller triangle’s base length:

The same formula applies.
a^2 + 3^2 = 5^2
a^2 = 5^2 - (3^2)
sqrt(a^2) = sqrt(16)
a = 4
____________

The finale!

Add the two side lengths of a, which is sqrt(55) + 4 (exact answer)
or... 11.416 (unrounded to thousandths place)

Good luck to you!
5 0
3 years ago
A spinner is divided into 8 equal sections, and each section contains a number from 1 to 8. What is the probability of the spinn
Ad libitum [116K]

Answer:

i think d he looks smart

Step-by-step explanation:

5 0
3 years ago
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What is the sequence in this set explain the pattern. 7.5 6.25 5​
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Answer:

subtract 1.25

Step-by-step explanation:

You can look at this and figure out that each time they are subtracting 1.25.

8 0
3 years ago
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