Ryan has an eight-year loan for $6,000. He is being charged an interest rate of 5 percent, compounded annually. Calculate the total amount that he will pay.

Answers

Answer 1

Answer: Given:
Principal : $6,000
Interest Rate: 5%
Term : 8 years, compounded annually.

The term compounded annually is a hint that informs us to use the compounded interest formula instead of the simple interest formula.

Compounded interest formula is:

A = P(1 + r/n)^nt

where:
A = future value of loan or investment including the interest
P = principal
r = rate
n = the number of times the interest is compounded per year
t = the number of years the money is borrowed or invested

A = P (1 + r/n)^nt
A = 6,000 (1 + 0.05/1)¹ * ⁸
A = 6,000 (1.05)⁸
A = 6,000 (1.48)
A = 8,880

The total amount Ryan will pay after 8 years is $8,880.00

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Find solution and show work for (3.4^17)^4

Answers

Answer: 3.4^68

Work Shown:

(3.4^17)^4

3.4^(17*4)

3.4^68

The general rule is (a^b)^c = a^(b*c)

What is the simplified form of expression ? 5(14 - 2) to the 2nd power over 2

Answers

Answer:

The answer is 1728

Step-by-step explanation:

Given the expression 5(14 - 2) to the 2nd power over 2, this can be written mathematically as;

{5(14 - 2)}²/2

Step1: we will solve for the function in bracket to have;

{5(12)}²/2

Step 2: we will take the square of the values in bracket since they are both raise to power of 2 to have;

(5²×12²)/2

= 25×144/2

Step 3: simplify the resulting equation to give;

= 24×72

=1728

The simplified form of the expression is 1728

5(14−2)^2/2
=5(12^2)/2=
(5)(144)/2
=720/2=
360

Michi put $7.50 worth of gas in her car. two co-workers who were riding to work with her offered to share the cost of the gas. one paid 1/2 of the total amount and the other paid 1/3 of the total amount. how much of the total amount was left

Answers

1.25.
7.50 x 1/2 = 3.75
+
7.50 x 1/3 = 2.50
= 6.25
7.50 - 6.25 = 1.25

What is the equation of the line, in slope-intercept form, that contains the points (−1, 5) and (2, 2)?y = −3x + 4
y = −x + 1
y = x + 4
y = −x + 4

Answers

So,

First, we need to find the slope by subtracting the y-values and subtracting the x-values.

5 - 2 = 3
-1 - 2 = -3

Now divide the y-result by the x-result.
3/-3 = -1 <-- slope

y = -x + b <-- equation so far

To find the y-intercept, substitute a solution into the equation.

2 = -2 + b

Add 2 to both sides.
4 = b

Now we have our complete equation.
y = -x + 4 <-- option D

y=mx+b
m=slope
b=yintercept
slope=(y2-y1)/(x2-x1)

given the points (-1,5) and (2,2)
slope=(2-5)/(2-(-1))=-3/(2+1)=-3/3=-1
y=-1x+b
sub a oint
(2,2)
x=2
y=2
2=-1(2)+b
2=-2+b
add 2
4=b

y=-x+4

Find the product of (x − 3)2.

Answers

The product of the given expression (x − 3)^2 would be equal to x^2 - 6x + 9.

What is a solution for a quadratic equation?

Suppose that we've a function y = f(x) such that f(x) is quadratic.

When y = 0, then the values of x for which f(x) = 0 is called solution of quadratic equation f(x) = 0

This solution gives values of x, and when we plot x and f(x), we'd see that the graph intersects the x-axis at its solution points.

Example: For x² + 5x + 6 = 0, the solutions are x = -3, and x = -2.

The graph of y = x² + 5x + 6 will intersect the x-axis at x= -3 and x=-2 (and those are the only intersection it will do on x-axis).

The given expression is

$(x - 3)^2\n\nx^2 - 2(x)(3) + (-3)^2\nx^2 -6x + 9$

Learn more about solutions of a quadratic equation here:

brainly.com/question/15582302

#SPJ2

Answer:

x2 − 6x + 9

Step-by-step explanation:

Took a test and got it right

Choose the equivalent system of linear equations that will produce the same solution as the one given below.6x + 2y = −6
3x − 4y = −18

12x + 4y = −12
15x = −30
8x + 4y = −4
14x = −10
6x − 8y = −36
−6y = −42
6x − y = −15
3y = 9

Answers

The given system of equation:
$6x+2y=-6 \ \ \ \ \ \ \ \ \ \ \ \ \ \ |* 2 \n3x-4y=-18 \n \n12x+4y=-12 \n\underline{3x-4y=-18 \ \ } \n15x=-30 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |/ 15 \nx=-2 \n \n3x-4y=-18 \n3 * (-2)-4y=-18 \n-6-4y=-18 \ \ \ \ \ \ \ \ \ \ \ \ |+6 \n-4y=-12 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |/ (-4) \ny=3 \n \n(x,y)=(-2,3)$

Answer options:
1.
$12x+4y=-12 \n15x=-30 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |/ 15 \n \n12x+4y=-12 \nx=-2 \n \n12 * (-2)+4y=-12 \n-24+4y=-12 \ \ \ \ \ \ \ \ \ \ |+24 \n4y=12 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |/ 4 \ny=3 \n \n(x,y)=(-2,3) \n\hbox{the same solution}$

2.
$8x+4y=-4 \n14x=-10 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |/ 14 \n \n8x+4y=-4 \nx=-(10)/(14)=-(5)/(7) \n \nx=-(5)/(7) \not= -2 \n\hbox{not the same solution}$

3.
$6x-8y=-36 \n-6y=-42 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |/ (-6) \n \n6x-8y=-36 \ny=7 \n \ny=7 \not= 3 \n\hbox{not the same solution}$

4.
$6x-y=-15 \n3y=9 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |/ 3 \n \n6x-y=-15 \ny=3 \n \n6x-3=-15 \ \ \ \ \ \ \ \ \ |+3 \n6x=-12 \ \ \ \ \ \ \ \ \ \ \ \ \ \ |/ 6 \nx=-2 \n \n(x,y)=(-2,3) \n\hbox{the same solution}$

The equivalent systems of equations are 1 and 4:
12x+4y=-12
15x=-30
and
6x-y=-15
3y=9

Answer:12x+4y=-12

15x=-30

Step-by-step explanation:

just took the test and had to use the answer below to get it right but they got to answers :// thats dumb but theres the answer start forward

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