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oee [108]
3 years ago
14

Set up the proportion and solve for x. Show ALL work and box your answer

Mathematics
1 answer:
KiRa [710]3 years ago
4 0

Answer:

x = 6

Step-by-step explanation:

Love proportions!

3x+2(x+6) = 35(21)

21(3x+2) = 35(x+6)

63x + 42 = 35x + 210

28x = 168

x = 6

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Pierre deposits $9,000 in a certificate of deposit that pays 1.4% interest, compounded semi-annually.
Elenna [48]

9514 1404 393

Answer:

  • interest: $63
  • balance: $9063

Step-by-step explanation:

After 6 months, the interest accrued is ...

  I = Prt

  I = $9000·0.014·(6/12) = $63

This is added to the principal to get the balance at that point in time.

  $9000 +63 = $9063

__

The interest earned in the first 6 months is $63. The balance after 6 months is $9063.

_____

The compound interest formula will give you the same result for one compounding period. It tells you the balance is ...

  A = P(1 +r/n)^(nt)

where n is the number of times interest is compounded in a year (2), and t is the number of years (1/2). For annual rate r = 1.4%, this is ...

  A = $9000(1 +0.007)^(2×1/2) = $9000·1.007 = $9063

5 0
2 years ago
Valerie bought a coat at a winter half-price sale. A sales tax of $6.24 was added to the sale price, bringing the cost of the co
egoroff_w [7]

Answer:

84.24 - 6.24 = p

Step-by-step explanation:

6 0
2 years ago
Based on the data in the table, how many members would
bezimeni [28]

Answer:

90

Step-by-step explanation:

It starts going up by 6. Then it goes up by 2 more than six. 6, 8, 10. Going up 2 more than last time. 2018 would be 12 more, or 76, and 2019 would be 14 more, or 90.

5 0
3 years ago
What is the value of x in the figure below
Otrada [13]

Answer:

It is 118°

Step-by-step explanation:

because these are corresponding angles.

3 0
3 years ago
A town has a population of 5000 and grows at 4% every year. To the nearest year, how long will it be until the population will r
Rus_ich [418]

Answer:

About 21.457 years

Step-by-step explanation:

You can solve this by setting up a simple equation.

5000\cdot 1.04^x \geq 11600

1.04^x \geq 2.32

log base 1.04 2.32=x

x\approx 21.457 years

Hope this helps!

8 0
3 years ago
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