Your bank gives you a special loan of $112,000. At the end of 30 years, you will pay the bank $176,400 in simple interest. What is the annual interest rate on your loan?

Answers

Answer 1

Answer: woah
that's alot of interest

ok so simple interest is the same every year
therefor if the total interest is 176400 in 30 years, then the interest for 1 ear is 176400/30=5880

ok so now
112000 times x%=5880
percent means parts out of 100 so x%=x/100

112000 times x/100=5880
112000x/100=5880
1120x=5880
divide both sides by 1120
x=5.25
answer is 5.25%

Answer 2

Answer: Interest , I = PRT/100

R = 100I / PT.

P = 112 000. T = 30 years. Interest = 176 400.

R = 100 * 176 400 / (112 000 * 30)

R = 5.25

Rate = 5.25% per year.

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the state of Nevada is in the shape of a quadrilateral.complete the attributes of the out line of the state of Nevada.(CHECK YOUR WORLD MAP).

Answers

Navada is near California so the pattern should be Quadrilateral

5t-14=-14
solve the equation for t

Answers

Hi there!

Before we begin, let's rewrite your equation. :)

$5t - 14 = -14$

Step 1) Add 14 to both sides.

$5t - 14 + 14 = -14 + 14 5t = 0$

Step 2) Divide both sides by 5.

$(5t)/(5) = (0)/(5)$

$t = 0$

Final Answer -

$t = 0$

Hope this helps!

Message me if you need anymore help! :D

Whats the ratio answer of 6:11 and 42:88

Answers

6 to 11 , 6/11 , six to eleven / 42 to 88 , 42/88 , fourty two to eighty eight

Substitution: y-2x=-6 and 5x-y=9

Answers

y-2x=-6 and 5x-y=9

step 1: isolate y in the first equation

y = 2x - 6

step 2: substitute the y value on the 2th equation:

5x-(2x-6)=9

step 3: solve the present equation:

5x - 2x + 6 = 9
3x = 9-6
3x = 3
x = 1

step 4: get the y value by replacing the value of x in y = 2x - 6:

y = 2*1 - 6
y = 2 - 6
y = -4

S={1, -4}

$\left \{ {\big{y-2x=-6} \atop\big {5x-y=9\ \ }} \right. \n\n \left \{ {\big{y=2x-6\ \ \ \ \ \ \ \ \ \ } \atop\big {5x-(2x-6)=9\ \ }} \right. \n\n \left \{ {\big{y=2x-6\ \ \ \ \ \ \ \ \ \ } \atop\big {5x-2x+6=9\ \ }} \right. \n\n \left \{ {\big{y=2x-6\ \ } \atop\big {3x=3\ /:3 }} \right. \n\n \left \{ {\big{y=2x-6 } \atop\big {x=1\ \ \ \ \ \ }} \right. \n\n \left \{ {\big{y=-4 } \atop\big {x=1\ }} \right. \n\n$

$Ans.\ \left \{ {\big{x=1} \atop\big {y=-4}} \right. \ \ \ \Rightarrow\ \ \ point:\ \ (1;-4)$

1. What is the solution to the system of equations?y = 5x - 7

-3x - 2y = -12

A. (2, 3)
B. (1, -2)
C. (-2, 9)
D. (3, 8)

What is the solution to the systems of equations represented by the 2 equations?
y = 4x + 3

y = -x - 2

A. (1, 7)
B. (-1, -1)
C. (2, -4)
D. (-3, -9)

A family went to an amusement park and paid $12 for each adult and $8 for each child. A group of 15 people went to the park and it cost $140. This system of equations models this situation, where x is the number of adults and y is the number of children.
How many children were in the group?

x + y = 15
12x + 8y = 140

Answers

Answer: 1) A. (2, 3)

2) B. (-1, -1)

3) 10 children

Step-by-step explanation:

1) $\left \{ {{y=5x-7} \atop {-3x-2y=-12}} \right.$

Since the y is already isolated in the first equation, to solve the system you simply substitute that expression into the second equation and then solve, finding the value of x:

$-3x-2(5x-7)=-12\n-3x-10x+14=-12\n-13x=-12-14\n-13x=-26\nx=(26)/(13)=2$

And then you substitute that value into the first equation and solve to find the value of y:

$y=5(2)-7\ny=10-7\ny=3$

So, the solution of the system is (2, 3).

2) $\left \{ {{y=4x+3} \atop {y=-x-2}} \right.$

Since the y is already isolated in both equations, to solve the system you simply equalize the first and the second expression and then solve, finding the value of x:

$4x+3=-x-2\n4x+x=-2-3\n5x=-5\nx=-1$

And then you substitute that value into the first or the second equation (whichever you like) and solve to find the value of y:

$y=-(-1)-2\ny=1-2\ny=-1$

So, the solution of the system is (-1, -1).

3) $\left \{ {{x+y=15} \atop {12x+8y=140}} \right.$

To solve the system, the easiest way is to isolate the y in the first equation and then substitute the expression obtained into the second equation, finding the value of x.

From the first equation: $y=15-x$

Substituting:

$12x+8(15-x)=140\n12x+120-8x=140\n4x=140-120\n4x=20\nx=5$

And then you substitute that value into the first equation and find the value of y:

$y=15-5\ny=10$

So, there were 10 children in the group.

y=5x-7 -3x-2y=-12 (2,3)

y=4x+3 y=-x-2 (-1,-1)

12x+8y=140 5 adults 10 children
12(5)+8(10)=140
60+80=140

If an equation does not need the distributive property, what should you look for next?

Answers

Answer:

Proceed the next step, then. Whether it is sum/subtract the addends, whether it is subtract. Then isolate the variable, aiming to find out the quantity of x.

Step-by-step explanation:

If an equation whose product does not need the distributive property, then the factors have already been distributed. And

Visualizing it

Suppose the following equation:

$3(x+2)=4$