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Novosadov [1.4K]
2 years ago
14

​$6300 is​ invested, part of it at 11​% and part of it at 6​%. For a certain​ year, the total yield is ​$533.00. How much was in

vested at each​ rate?
$___ was invested at 11%
Mathematics
1 answer:
andrew-mc [135]2 years ago
7 0

Answer:

Invested at 11% : 3100

Invested at 6% : 3200

Step-by-step explanation:

let x= amount invested at 11%

let y= amount invested at 6%

we can write

Equation 1: x+y=6300

Equation2: .11x+.06y=533

Divide equation 2 by .06 to get

1.8333333x+y=8883.33333333

Subtract equation 2 from equation 1

.8333333x= 2583.33333333

x= 3100

Plug in x= 3100 into equation 1

3100+y= 6300

y= 3200

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How long would it take an ant to run from Los Angeles to New York City?
Dmitriy789 [7]

Answer:

2 Years, 9 Months, 3 Weeks, 5 Days and 1 Hour

Step-by-step explanation:

2,798.5 miles from L.A. to New York, an ant travels at 3 inches a second, we multiply 3 by 60 to get 120 inches a minute convert that into feet to get 10 feet, now multiply that by another 60 to get 600 feet an hour now multiply 600 by 24 to get 14,400 feet a day convert that into miles to get  2.72 miles a day now take 2.72 miles and divide that by the distance between the 2 cities to get about 1030 days, now if we put that into years, months, weeks, days and hours we get 2 Years, 9 Months, 3 Weeks, 5 Days and 1 Hour

3 0
3 years ago
Yes or no, are these functions
Hoochie [10]
Yes it is a function
8 0
2 years ago
Caroline bought 20 shares of stock at 10 1/2, and after 10 months the value of the stocks was 11 1/4. If Caroline were to sell a
joja [24]
A, because: 20x10 1/2=210

And 20x11 1/4=225

And 225-210=15

So thats the answer.
8 0
3 years ago
Read 2 more answers
Simplify:(y²+z²) -2yz​
VMariaS [17]

Answer:

  (y-z)^{2}

Step-by-step explanation:

  (y^{2}+z^{2} ) -2yz\\\\y^{2} +z^{2} - 2yz\\\\y^{2} +2yz + z^{2}\\\\(y-z)^2\\

5 0
3 years ago
If 94 people attend a concert and tickets for adults cost $2.5 while tickets for children cost $1.75 and total receipts for the
Tasya [4]

Answer:

52 adults and 42 children attended the concert

Step-by-step explanation:

Given:

Total attendees=94 people

Adults tickets=$2.5

Children tickets=$1.75

Total receipts=$203.5

Let adults=a

Children=c

a+c=94 (1)

2.5a + 1.75c=203.5 (2)

From (1)

a+c=94

a=94-c

Substitute a=94-c into (2)

2.5a + 1.75c=203.5

2.5(94-c) + 1.75c=203.5

235-2.5c+1.75c=203.5

-0.75c=203.5-235

-0.75c=-31.5

Divide both sides by -0.75

-0.75c/-0.75=-31.5/-0.75

c=42

Substitute c=42 into (1)

a+c=94

a+42=94

a=94-42

=52

a=52

Therefore,

52 adults and 42 children attended the concert

3 0
3 years ago
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