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motikmotik
2 years ago
6

Larry Mitchell invested part of his $25,000 advance at 2% annual simple interest and the rest at 3% annual simple interest. If h

is total yearly interest from both accounts was $510, find the amount invested at each rate.
Mathematics
1 answer:
alexandr402 [8]2 years ago
3 0

Answer:

  • $1000 at 3%
  • $24000 at 2%

Step-by-step explanation:

Let x represent the amount invested at 3%. Then the total interest earned is ...

  0.03x +0.02(25000 -x) = 510

  0.01x = 10 . . . . . . . . . . . . subtract 500, collect terms

  x = 1000

Mitchell invested $1,000 at 3% and $24,000 at 2%.

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)) Fill in the missing number.<br> ()) 70% of<br> =<br> 56
Nutka1998 [239]

Answer: x=80

  • Step-by-step explanation: multiplying both sides by 100 and dividing both sides by 70  then we have x=56 x 100/70 then your answer is x=80. If you're using a calculator, simply enter 56x100 divided by 70  which will give you the answer  

6 0
2 years ago
The following histogram shows the relative frequencies of the heights, recorded to the nearest inch, of a population of women. T
Airida [17]

Answer:

The following histogram shows the relative frequencies of the height recorded to the nearest inch of population of women the mean of the population is 64.97 inches and the standard deviation is 2.66 inches

(a) Based on the histogram, what is the probability that the selected woman will have a height of at least 67 inches? Show your work

Answer:

0.22268

Step-by-step explanation:

z-score is z = (x-μ)/σ,

where x is the raw score

μ is the population mean

σ is the population standard deviation.

(a) Based on the histogram, what is the probability that the selected woman will have a height of at least 67 inches? Show your work

At least means equal to or greater than 67 inches

z = 67 - 64.97/2.66

z = 0.76316

P-value from Z-Table:

P(x<67) = 0.77732

P(x>67) = 1 - P(x<67) = 0.22268

The probability that the selected woman will have a height of at least 67 inches is 0.22268

Step-by-step explanation:

6 0
3 years ago
What is the unit rate for 692.08 ft in 21.1 s? Round to the nearest tenth if necessary. Enter your answer in the box.
Xelga [282]
By unit rate they mean feet per second

To do this you need to divide feet by seconds
692.08/21.1=32.8

The unit rate is:
32.8 feet per second
7 0
3 years ago
Read 2 more answers
Can someone help me with this
11Alexandr11 [23.1K]

-6 + x = -7

+6        +6        add 6 to both sides, 6's cancel out on the left.

________

x = -1, is the answer.

Hope this helps! Let me know if you have any other questions related to this problem. :)

5 0
2 years ago
Read 2 more answers
juilo is paid 1.4 times his normal hourly rate for each hour he works over 30 hours in a week. Last week he worked 35hours and e
Licemer1 [7]
Let x be Juilo's normal hourly rate.

so for the 35 hr week  we have:-

30x + 5*1.4x = 436.60

37x = 436.60

x = 436.60 / 37 =  $11.80

His normal hourly rate = $11.80


So for a 30 hr week he will earn 11.80 * 30  =  $354

So  the  amount $436.60  is a reasonable figure for  a 35 hr week.
4 0
3 years ago
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