MATHEMATICS MIDDLE SCHOOL

How much interest is earned on a principal of $671.37 invested at an interest rateof 4% for four years?

Answers

Answer 1

Answer:

ANSWER:

The interest earned on a principle of $671.37 at an interest rate of 4% for four years is $ 107.42.

SOLUTION:

Given, p = $671.37, R = 4%, t = 4.

We need to find the simple interest for the above given values of amount, rate and years.

We know that

$Simple Interest $=\left((p * r * t)/(100)\right)$$

where, p = principal amount ; r = rate of interest ; t = number of years

By substituting the values we get,

$=\left((671.37 * 4 * 4)/(100)\right) \n\n$=\left((2685.48 * 4)/(100)\right) \n\n$=\left((2685.48)/(25)\right)$$=107.4192$$

Simple interest is $ 107.42 approximately.

Hence, the interest earned on a principle of $671.37 at an interest rate of 4% for four years is $ 107.42.

Answer 2

Answer:

Answer:

$26.8548

Step-by-step explanation:

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Factor out the coefficient of the variable
-3.6z - 10.8 =

Answers

-3.6z-10.8 = -3.6(z+3)
coefficient is -3.6

Write an expression for the calculation 34 minus 5 times the difference of 11 and 6

Answers

34-5x(11-6)
Hope this helps

the expression is 34-5(11-6)

What is the missing leg length

Answers

Answer:

36 km

Step-by-step explanation:

This is a right triangle so we can use Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

27^2+ b^2 = 45^2

729+b^2 =2025

Subtract 729 from each side

729-729+b^2 =2025-729

b^2 =1296

Take the square root of each side

b =sqrt(1296)

b=36

Answer:

Step-by-step explanation:

a2+b2=c2

a2+27^2=45^2

a2+729=2025

a2=1296

then square root that number to get

a=36

Cedro collects state quarters. he has 42 out of 50 available quarters. what is 42 out of 50 as a percent

Answers

84%. You start out with 42/50. You need to then multiply the numerator and the denominator by 2 which will give you 84/100 which will then give you 84%.

$42 \ out \ of \ 50=(42)/(50)=(42 * 2)/(50 * 2)=(84)/(100)=\boxed{84\%}$

A car that travels along the highway to Denver at a steady speed. When it begins, it is 300 miles from Denver. After 3 hours, it is 180 miles from Denver. Which function describes the car's distance from Denver?

Answers

Answer: $y=-40x+300$

Step-by-step explanation:

This car follows a line, hence its motion can be modeled by the Line equation.

In fact, we already have two points of the line, if we call $x$ the time in hours and $y$ the traveled distance in miles:

Point 1: $(x_(1),y_(1))=(0,300)$

Since we are told the car's initial position is 300 miles in the time 0 h

Point 2: $(x_(2),y_(2))=(3,180)$

Since we are told the car's final position is 180 miles after 3h

Let's find the Slope $m$ :

$m=(y_(2)-y_(1))/(x_(2)-x_(1))$

$m=-40$ This is the slope of the line

Now, the equation of the line is:

$y=mx+b$

We already know the slope, now we have to find the intersection point with the y-axis ( $b$ ) with any of the given points. Let's choose Point 1: $(x_(1),y_(1))=(0,300)$