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grin007 [14]
2 years ago
13

Fill in the boxes to complete each number chain.

Mathematics
1 answer:
docker41 [41]2 years ago
8 0

Answer:

35

Step-by-step explanation:

35

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Question in attachment
ELEN [110]

Answer:

  • $20,000 at 8.5%
  • $10,000 at 10%

Step-by-step explanation:

There are a number of ways to solve mixture problems like this. Some are simple enough you can almost write down the answer. One I like uses a diagram to help you find the ratios of the components of the mix. You can do the same thing with a formula (without the diagram).

The basic idea is that you compute a ratio between two differences. The numerator is the difference between the average interest rate and the lower interest rate. Here, the average interest rate is 2700/30,000 = 0.09 = 9%. Then the numerator is 9% -8.5% = 0.5%

The denominator is the difference between the two interest rates of the investments: 10% -8.5% = 1.5%. And the ratio of these two values is ...

  0.5%/1.5% = 1/3

This is the fraction of the total investment that was invested at the higher interest rate:

  (1/3)×$30,000 = $10,000 . . . . was invested at 10%

Then the remaining amount, $20,000, was invested at 8.5%.

___

If you would prefer an equation, you can let x represent the amount invested at the higher rate. (That is the most convenient assignment of variables, as it keeps all of the numbers positive.) Then (30,000 -x) is the amount invested at the lower rate. The total amount of interest is ...

  10%(x) +8.5%(30,000 -x) = 2700

  x(10% -8.5%) = 2700 -8.5%(30000) . . . . . subtract 8.5%(30,000)

  x = (2700 -8.5%(30,000))/(10% -8.5%) . . . . divide by the coefficient of x

We have purposely left the expression unevaluated so that you can compare it to the math we described above. If you factor out 30,000 from the numerator of this fraction, you see the ratio that we described in words:

  x=30000\left(\dfrac{\dfrac{2700}{30000}-8.5\%}{10\%-8.5\%}\right)\\\\x=10,000

This tells us $10,000 was invested at 10%, and $20,000 was invested at 8.5%.

8 0
3 years ago
WHAT ARE THE THREE DIFFERENT TYPES OF ANGLES!!!!!!??
Vikentia [17]
<em>Hello there, and thank you for asking your question here on brainly.

<u>Answer: The three different types of angles are an acute angle, which is an angle that is an angle that measures from 1</u></em>° <em><u>to 89°. A right angle, that specifically measures to 90</u></em>°. <em><u>Finally, an obtuse angle that measures from 91° to 179°. An angle that also measures 180° is a straight line, and is called a straight angle. 

</u>Hope this helped you! ♥<u>
</u></em>
6 0
3 years ago
In a recent survey, three out of every five students said they would prefer going to a water park for the class trip.
zhuklara [117]

Answer:

the answer is d

Step-by-step explanation:

Just multiply and divide

8 0
3 years ago
D=h+9 The variable H represents the number of hours worked, and the variable d represents the amount of dough prepared how many
Marta_Voda [28]

Answer:

  12 hours

Step-by-step explanation:

If we assume that the units of D are kg, then we can put the given number into the equation and solve.

  21 = h +9

  12 = h . . . . . subtract 9

Eli worked 12 hours to prepare 21 kg of dough.

8 0
3 years ago
$900 for 9 months than for six months
MariettaO [177]
Then it would be 600 
4 0
3 years ago
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