MATHEMATICS HIGH SCHOOL

Compute the amount of interest earned in the following simple interest problem. A deposit of $100 at 8% for 20 years = _____. $1.60 $16.00 $160.00 $1,600.00

Answers

Answer 1

Answer:

Answer:

C. $160.

Step-by-step explanation:

We are asked to find the amount of simple interest earned from a deposit of $100 at 8% for 20 years.

We will use simple interest formula to solve our given problem

$I=Prt$ , where,

$I=\text{Amount of interest}$ ,

$P=\text{Principal amount}$ ,

$r=\text{Interest rate in decimal form}$ ,

$T=\text{Time in years}$ .

Let us convert our given interest rate in decimal form.

$8\%=(8)/(100)=0.08$

Upon substituting our given values in above formula we will get,

$I=100*0.08*20$

$I=160$

Therefore, the amount of interest earned is $160 and option C is the correct choice.

Answer 2

Answer: Initial deposit = 100 dollars
Interest = 8% = 0.08
time of deposit - 20 years or 240 months.
Annual Rate :
=> 100 dollars * .08 = 8 dollars per year
=> 8 * 20 = 160 dollars for 20 years.

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What is the slope of the equation 12=4x-6y

Which linear function equation would contain the points below? (-6,-8) and (12,4)

Answers

Answer:

Step-by-step explanation:

The equation of a linear function can be written in the form y = mx + b, where m represents the slope and b represents the y-intercept.

To find the equation of a linear function that contains the points (-6,-8) and (12,4), we first need to find the slope.

The slope (m) can be calculated using the formula:

m = (y2 - y1) / (x2 - x1)

Let's substitute the values from the given points into the formula:

m = (4 - (-8)) / (12 - (-6))

m = (4 + 8) / (12 + 6)

m = 12 / 18

m = 2/3

Now that we have the slope, we can use one of the given points and the slope to find the y-intercept (b).

Using the point (-6, -8), we substitute the values into the equation y = mx + b and solve for b:

-8 = (2/3)(-6) + b

-8 = -12/3 + b

-8 = -4 + b

b = -8 + 4

b = -4

Therefore, the equation of the linear function that contains the points (-6,-8) and (12,4) is y = (2/3)x - 4.

Final answer:

The equation of the linear function that contains the points (-6,-8) and (12,4) is y = (2/3)x - 4.

Explanation:

The linear function equation that contains the points (-6,-8) and (12,4) can be determined by using the slope-intercept form y = mx + b, where m is the slope and b is the y-intercept. First, calculate the slope using the formula m = (y2 - y1) / (x2 - x1). Plugging in the values from the given points, we have m = (4 - (-8)) / (12 - (-6)) = 12/18 = 2/3. Next, choose one of the points to substitute into the equation to find the value of b. Using the point (-6,-8), we have -8 = (2/3)(-6) + b. Solving for b, we get b = -8 + 4 = -4. Therefore, the equation of the line is y = (2/3)x - 4.

Learn more about Linear Function Equation here:

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A helicopter flies 312 miles against the wind in 2 hours; with the wind, it can fly 468 miles in the same amount of time. Find the speed of the helicopter in still air.

Answers

Answer:

78miles/hour

Step-by-step explanation:

If a helicopter flies 312 miles against the wind in 2 hours, the speed of the helicopter in air is expressed as shown;

Speed = Distance/Time

Speed = 312miles/2hours

Speed = 156miles/hr

The speed of the helicopter against the wind is 156miles/hr

If it can fly 468 miles in the same amount of time, the speed during this time at this distance will be;

speed = 468 miles/2hours

Speed = 234miles/hr

The speed of the helicopter in still air = Speed while flying - Speed while against the wind

The speed of the helicopter in still air = 234miles/hr - 156miles/hr

The speed of the helicopter in still air = 78miles/hour

The sum of the measures of the interior angles of a polygon is 1620°.How many sides does the polygon have?
__

Answers

you should end up with 11 sides............

sum=(n-2)180
1620=(n-2)180

n-2=9
n=11 sides

Write an equation of a line that has the same slope as 2x – 5y = 12 and the same y-intercept as 4y + 24 = 5x.y = 1/6x - 5/2
y = 2/5x - 6
y = 6x - 2/5
y = 5/2x - 6

Answers

in ax+by=c form
slope=-a/b

y intercept is when x=0

sloope of 2x-5y=12 is -2/-5=2/5

y intercept of 4y+24=5x
4y+24=5(0)
4y+24=0
4y=-24
y=-6
y int=-6

y=mx+b
m=slope
b=y intercept
y=2/5x-6

answer is 2nd optoin

If a point a an endpoint of a AC has coordinates (8,4) and point B, the midpoint of AC has coordinates (-2,7) what is the X value of the coordinates of point C

Answers

Answer:

The x-value of the coordinates of point C is -12.

Step-by-step explanation:

Let be $A = (8, 4)$ and $B = (-2, 7)$ , which is midpoint of segment AC. The location of point C is obtained from the midpoint formula, that is:

$B = (1)/(2)\cdot A + (1)/(2)\cdot C$

$2\cdot B = A + C$

$C = 2\cdot B - A$

$C = 2\cdot (-2,7)-(8,4)$

$C = (-4,14)-(8,4)$

$C = (-4-8,14-4)$

$C = (-12,10)$

The x value is the first component of the ordered pair, that is: $x = -12$ . The x-value of the coordinates of point C is -12.

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