Harold measures the heights in inches of the new plants that are growing in his greenhouse.

Maria invested $4,000 at 3.5% simple interest. She left the principal invested for 57 months. Robert invested $3,500 at 8.5% sim

Alex_Xolod [135]

Answer:

Maria have $123,75 more total money than Robert at the end of their investments.

Step-by-step explanation:

To calculate the simple interest we should multiply the Initial invest, with the interest without percentage and the time in years.

As the time is in months we have to divide it by 12 so we have the mesure of time in years, then the interest for each of the investments will be:

Maria

Invest = $4,000 Interest = 3.5/100=0.035 Time = 57/12 = 4.75

Simple Interest = 4,000 x 0.035 x 4.75 = $665

Total money at the end of the invest = $4,000 + $665 = $4,665

Robert

Invest = $3,500 Interest = 8.5/100=0.085 Time = 42/12 = 3.5

Simple Interest = 3,500 x 0.085 x 3.5 = $1,041.25

Total money at the end of the invest = $3,500 + $1,041.25 = $4,541.25

Now we have to subtract the total money of Robert from the total money of Maria to know how much money did she got over Robert after their invests

$4,665 - $4,541.25 = $123.75

At the end of the invest, Maria got $123,75 more than Robert

8 0

3 years ago

The line x − y = 2 is on a coordinate plane and contains EF, which is one side of square EFGH. What is the slope of the line tha

Alborosie

Answer:

The slope of FG is -1

Step-by-step explanation:

Given

Square EFGH

EF: $x - y = 2$

Required

Determine the slope of FG

First, we calculate the slope of EF

$x - y = 2$

Make y the subject

$-y = 2 - x$

$y = x -2$

The general equation has the form: $y = mx + b$

Where

$m = slope$

Compare $y = mx + b$ to $y = x -2$

$m = 1$

From the name of the square EFGH, we can conclude that EF and FG are perpendicular

The relationship between perpendicular lines is:

$m_2 = -\frac{1}{m_1}$

Where

$m_1 = m = 1$ -- Slope of EF

and

m2 = slope of FG

Substitute 1 for m1 in $m_2 = -\frac{1}{m_1}$

$m_2 = -\frac{1}{1}$

$m_2 = -1\\$

Hence, the slope of FG is -1

3 0

3 years ago

Please help im timed how would you solve 17=w/4?

max2010maxim [7]

Answer:

Solution for 17=w-4 equation:

17=w-4

We simplify the equation to the form, which is simple to understand

17=w-4

We move all terms containing w to the left and all other terms to the right.

-1w=-4-17

We simplify the left and right sides of the equation.

-1w=-21

We divide both sides of the equation by -01 to get w.

w=21

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Factor completely 3u^4x^4-3x^4

Olenka [21]

The greatest common factor in this expression is 3x^4. Let's take it out:

3x^4(u^4 - 1)

u^4 - 1 is a difference of two squares and can be factored further:

3x^4(u^2 + 1)(u^2 - 1)

u^2 - 1 is also a difference of two squares:

3x^4(u^2 + 1)(u + 1)(u - 1)

3 0

4 years ago

Can someone help me solve for x?

Marizza181 [45]

Answer:

The answer is 20! : ) Hope this helps!!

Have a good day or night (wherever you are)!

Step-by-step explanation:

7 0

3 years ago