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HACTEHA [7]
3 years ago
7

You have $37 to spend at the music store. Each cassette tape costs $10 and each CD costs $13. Write  a linear inequality that re

presents this situation. Let x represent the number of tapes and y the number of CDs.
Mathematics
1 answer:
ollegr [7]3 years ago
4 0
13x+10x=37

13 times how ever many CD's plus 10 times how ever many cassettes has to equal to the amount of money that you have to spend that's $37 


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Mrs. Jackson put a total of $10,000 into two accounts one account earns 6% simple annual interest the other account earns 6.5% s
kozerog [31]

Answer:

The money invested in account at 6 % rate is $ 9230.77

The money invested in account at 6.5 % rate is $ 769.23

Step-by-step explanation:

Given as :

The total amount saves in two account = $ 10,000

The two rate of interest are 6 % and 6.5 % at simple interest

The interest earn at 6 % rate = $ 632

The interest earn at 6.5 % ate = $ 50

Now, Let The amount deposit at 6 % rate = $ x

And The amount deposit at 6.5 % rate = $ 10,000 - $ x

<u>From Simple Interest method</u>

Simple Interest = \dfrac{\textrm principal \times \textrm Rate\times \textrm time}{100}

or, At 6.5 % rate

$ 50 =  \dfrac{\textrm (10,000 - x ) \times \textrm 6.5\times \textrm 1}{100}

or, 10000 - x =  \frac{5000}{6.5}

Or, 10000 - x = 769.23

∴  x = 10000 - 769.23

I.e x = $ 9230.77

So , At 6.5 % the amount deposit = 10,000 - 9230.77 = $ 769.23

So, At 6 % The amount deposit  = $ 9230.77

Hence The money invested in account at 6 % rate is $ 9230.77

And  The money invested in account at 6.5 % rate is $ 769.23 Answer

7 0
4 years ago
Use the diagram. AB is a diameter, and AB is perpendicular to CD. The figure is not drawn to scale.
Westkost [7]

Answer:

The measure of arc BD is 147°

Step-by-step explanation:

we know that

If segment AB is perpendicular to segment CD

then

The measure of the inner angle CPA is a right angle (90 degrees)

Remember that

The measure of the inner angle is the semi-sum of the arcs comprising it and its opposite.

so

m∠CPA=(1/2)[arc AC+arc BD]

substitute the given values

90°=(1/2)[33°+arc BD]

180°=33°+arc BD

arc BD=180°-33°=147°

7 0
3 years ago
I need help completing this problem ASAP
Evgen [1.6K]

Answer:

8 sqrt(5)

Step-by-step explanation:

sqrt(45) + sqrt(125)

Rewriting

sqrt(9*5) + sqrt( 25 *5)

we know sqrt(ab) = sqrt(a) sqrt(b)

sqrt(9) sqrt(5) + sqrt(25) sqrt(5)

3 sqrt(5)+5 sqrt(5)

Add like terms

8 sqrt(5)

5 0
3 years ago
Read 2 more answers
9w = -54
Virty [35]
0 - (-6)


<span>-4 - 5

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4 0
3 years ago
What is 21.3 as a fraction???
ElenaW [278]
Hi,

21.3 = \frac{213}{10}

Hope this helps.
r3t40
5 0
3 years ago
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