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stiv31 [10]
2 years ago
11

Solve for in the equation = .

Mathematics
1 answer:
Bad White [126]2 years ago
4 0

Answer:

What's the equation?

Step-by-step explanation:

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A bank loaned out ​$19,000​, part of it at the rate of 9 % per year and the rest at 19 % per year. If the interest received in o
VMariaS [17]

Answer: $11100 was loaned at 9%

Step-by-step explanation:

Let x represent the amount that the

bank loaned out at the annual rate of 9%.

Let y represent the amount that the

bank loaned out at the annual rate of 19%.

The bank loaned out ​$19,000​, part of it at the rate of 9% per year and the rest at 19% per year. It means that

x + y = 19000

The interest on $x after 1 year would be

9/100 × x = 0.09x

The interest on $y after 1 year would be

19/100 × y = 0.19y

If the interest received in one year totaled ​$2500. It means that

0.09x + 0.19y = 2500- - - - - - - - - 1

Substituting x = 19000 - y into equation 1, it becomes

0.09(19000 - y) + 0.19y = 2500

1710 - 19000y + 0.19y = 2500

- 0.09y + 0.19y = 2500 - 1710

- 0.1y = - 790

y = - 790/- 0.1

y = $7900

x = 19000 - y = 19000 - 7900

x = $11100

7 0
3 years ago
Also how would you round 2.59 to the nearest tenths ?
Maslowich

Answer:

<em>2.6</em>

Step-by-step explanation:

The tenths digit is the 5.

Drop every digit after the 5. You get 2.5

Now you need to see if the 5 stays as it is or if it goes up by 1 to 6.

The first digit after the 5 you dropped is 9. Since 9 is greater than 4, the previous digit goes up by 1, so the 5 becomes a 6.

The final answer is 2.6

5 0
3 years ago
Read 2 more answers
WILL GIVE BEST RESPONSE
tino4ka555 [31]
We will use demonstration of recurrences<span>1) for n=1, 10= 5*1(1+1)=5*2=10, it is just
2) assume that the equation </span>10 + 30 + 60 + ... + 10n = 5n(n + 1) is true, <span>for all positive integers n>=1
</span>3) let's show that the equation<span> is also true for n+1, n>=1
</span><span>10 + 30 + 60 + ... + 10(n+1) = 5(n+1)(n + 2)
</span>let be N=n+1, N is integer because of n+1, so we have
<span>10 + 30 + 60 + ... + 10N = 5N(N+1), it is true according 2)
</span>so the equation<span> is also true for n+1, 
</span>finally, 10 + 30 + 60 + ... + 10n = 5n(n + 1) is always true for all positive integers n.
<span>
</span>
4 0
3 years ago
Log 64 = x. Find X<br> ⁴
ozzi

Answer:

3

Step-by-step explanation:

Rewrite the logarithmic notation to index notation.

4^x=64

Change 64 to index notation

ie 64 = 4^3

Since the base is the same(4) cancel them out

You remain with x = 3

6 0
3 years ago
Read 2 more answers
The CEO of NJAD, a Real Estate Investment Fund, decided to design a new development inPolycity, New Jersey. She wants to build 3
shutvik [7]

The perimeter (P) is the sum of all sides:

\begin{gathered} (2x^2-6x+25)+(5x^3+6x^2-3x+4)+(x^3-2x^2+8x+9)+(3x^4+2x^3+8x+7) \\ 2x^2-6x+25+5x^3+6x^2-3x+4+x^3-2x^2+8x+9+3x^4+2x^3+8x+7 \\ 3x^4+5x^3+x^3+2x^3+2x^2+6x^2-2x^2-6x-3x+8x+8x+25+4+9+7 \\ 3x^4+8x^3+6x^2+7x+45 \end{gathered}

5 0
1 year ago
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