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oksano4ka [1.4K]
3 years ago
5

An account earns simple interest. $1675 at 4.6% for 4 years a. Find the interest earned. $___ b. Find the balance of the account

. $___
Mathematics
1 answer:
Colt1911 [192]3 years ago
7 0
A. First, divide 1675 by 100 to find 1% of it. 
1675 / 100 = 16.75 
Then, multiply 16.75 by 4.6 to get 4.6%. 
16.75 x 4.6 = 77.05 
77.05 is the interest for one year. 
Multiply it by 4 to get the interest for 4 years. 
77.05 x 4 = 308.20 
The interest earned is $308.20. 

B. Add the interest to the original balance to get the total. 
308.20 + 1675 = 1983.20 
The balance of the account is $1983.20 after 4 years. 

Hope this help!
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Answer:

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Step-by-step explanation:

1 and 1/6 yards  would make a waste of 1 and 1/6 yards since you can't make a ribbon out of it. (incorrect)

1 and 2/10 yards  would make a waste of 1 and 1/5 yards since you can't make a ribbon out of it. (incorrect)

1 and 2/5 yards

1\frac{2}{5} -1\frac{1}{3} =\\\\1\frac{6}{15} -1\frac{5}{15} =\\\\\frac{1}{15}

Wastes 1/15 a yard.

1 and 1/2 yards  

1\frac{1}{2} -1\frac{1}{3} =\\\\1\frac{3}{6} -1\frac{2}{6} =\\\\\frac{1}{6}

It wastes 1/6 a yard.

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3 years ago
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kkurt [141]

Answer:

20. x = 5, y = -2

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23. x = 11, y = 10

Step-by-step explanation:

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2y+18=3x-1\\ \\6x-3=17-5y

Solve this system of two equations:

\left\{\begin{array}{l}2y-3x=-19\\ \\6x+5y=20\end{array}\right.

Multiply the first equation by 2 and add two equations:

2(2y-3x)+6x+5y=2\cdot (-19)+20\\ \\4y-6x+6x+5y=-38+20\\ \\9y=-18\\ \\y=-2

Substitute it into the first equation:

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11x+5=10y+6

Consecutive angles are supplementary, so

6x-y+11x+5=180^{\circ}

Solve this system of two equations:

\left\{\begin{array}{l}11x-10y=1\\ \\17x-y=175\end{array}\right.

From the second equation

y=17x-175

Substitute it into the first equation:

11x-10(17x-175)=1\\ \\11x-170x+1750=1\\ \\-159x=-1749\\ \\x=11\\ \\y=17\cdot 11-175=187-175=12

22. Opposite angles in the parallelogram are congruent, so

2x-5=3y-12

Consecutive angles are supplementary, so

2x-5+7y+x=180^{\circ}

Solve this system of two equations:

\left\{\begin{array}{l}2x-3y=-7\\ \\3x+7y=185\end{array}\right.

From the first equation

x=-3.5+1.5y

Substitute it into the second equation:

3(-3.5+1.5y)+7y=185\\ \\-10.5+4.5y+7y=185\\ \\-105+45y+70y=1,850\\ \\115y=1,850+105\\ \\115y=1,955\\ \\y=17\\ \\x=-3.5+1.5\cdot 17=22

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2x+9=4y-9\\ \\3x-5=2y+8

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\left\{\begin{array}{l}2x-4y=-18\\ \\3x-2y=13\end{array}\right.

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lys-0071 [83]

Answer:

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20  hl^3 = 20 x 10^15 ml^3.  

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