Gaby deposited $200 in a savings account earning 4% simple interest over 7 years. What was the total interest Gaby earned?

Please help this makes no sense

valina [46]

9514 1404 393

Answer:

4) (x, y) = (1, 3)

5) length = 11 meters, width = 7 meters

Step-by-step explanation:

4) "Solve by graphing" means graph the two equations and find the coordinates of the point where they intersect.

For graphing these equations, it works well to start at the y-intercept and use the slope to find another point on the line.

These equations are in "slope-intercept form":

y = mx + b . . . . . . . . . where m is the slope and b is the y-intercept

In the first equation, the slope is 3 and the y-intercept is 0. (We rarely show +0 in an expression or equation.) This means the point where y=0 on the y-axis is one point on the line.

The slope is the ratio of "rise" to "run". A slope of 3 means the line will go up 3 grid squares for each 1 grid square to the right. That is, another point on the line is the point (1, 3).

To graph the first equation, draw a line through the two points (0, 0) and (1, 3).

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The second equation has a slope of 4 and a y-intercept of -1. This means the point y=-1 on the y-axis is a point on the line. The slope of 4 means it goes up 4 squares for 1 square to the right, so (x, y) = (1, -1+4) = (1, 3) will be another point on the graph of the second equation. To graph it, draw a line through the two points (0, -1) and (1, 3).

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If you're paying attention, you have figured out that the point (1, 3) is on both lines. That is the only point on both lines, so it is the solution to the system of equations. The solution is (x, y) = (1, 3). The graph is shown in the attachment.

_____

5) I find it convenient to solve this sort of problem using a single variable. Let w represent the width of the rectangle in meters. Then the length is (w+4), a length that is 4 meters longer than the width.

The perimeter is twice the sum of length and width. An equation expressing that is ...

P = 2(L +W)

36 = 2((w+4) +w) . . . . . . . . substitute known values into the formula

Simplifying the equation gives ...

36 = 2(2w +4)

36 = 4w +8

Subtracting 8 from both sides, we have ...

28 = 4w

Then we can divide both sides by 4 to find w.

7 = w . . . . . . the width

(w+4) = (7+4) = 11 . . . . . the length

The length and width of the rectangle are 11 meters and 7 meters, respectively.

3 0

2 years ago

What is 1 + 1? Need an explanation.

Alexus [3.1K]

The answer is 1 + 1 = 2

3 0

3 years ago

HELP ME!!! ANY ABSURD WILL BE REPORTED!!

My name is Ann [436]

Answer:

y=10x+9; y=5x+9

Step-by-step explanation:

First of all, answers B and D are wrong because the formula is y=mx+b. So, that leaves us with a and C.

I couldn't find the slope because it was hard to see. try finding a point where it is clear what the points are and do change in y over change in x. I hope this helped at least a bit.

8 0

3 years ago

g Recall the example about community college students and gender. Statistics students surveyed 135 students at Tallahassee Commu

bixtya [17]

Answer:

They can either decrease the confidence level or increase the sample size, that is, survey more students.

Step-by-step explanation:

The width of a confidence interval is given by:

$M = z*\frac{\sigma}{\sqrt{n}}$

In which z is the critical value correponding to the confidence level(higher confidence level, higher z is), $\sigma$ is the standard deviation of the population and n is the size of the sample.

The students realize that this interval contains a large margin of error. What can they do to make a narrower interval?

Looking at the formula for M, they can either decrease the confidence level or increase the sample size, that is, survey more students.

4 0

3 years ago

Verify that -5, 1/2, and 3/4 are the zeroes of the cubic polynomial 4x^3+20x^2+2x-3. Also verify the relationship between the ze

Finger [1]

Solution:

we have been asked to verify that -5, 1/2, and 3/4 are the zeroes of the cubic polynomial $4x^3+20x^2+2x-3$

To verify that whether the given values are zeros or not we will substitute the values in the given Polynomial, if it will returns zero, it mean that value is Zero of the polynomial. But if it return any thing other than zeros it mean that value is not the zero of the polynomial.

Let $f(x)=4x^3+20x^2+2x-3\\\\\text{when x=-5}\\\\f(-5)=4(-5)^3+20(-5)^2+2(-5)-3=-13\\\\\text{when x=}\frac{1}{2}\\$

$f( \frac{1}{2} ) = 4 ( \frac{1}{2} )^3+20(\frac{1}{2})^2+2(\frac{1}{2})-3=\frac{7}{2}\\\\$

$\text{when x=}\frac{3}{4}\\\\$

$f( \frac{3}{4} ) = 4 ( \frac{3}{4} )^3+20(\frac{3}{4})^2+2(\frac{3}{4})-3=\frac{183}{16}\\$

Hence -5, 1/2, and 3/4 are not the zeroes of the given Polynomial.

Since sum of roots $=\frac{-b}{a}= \frac{-20}{4}=-5\\$

But $-5+\frac{1}{2}+\frac{3}{4}= \frac{-15}{4}\neq-5$

Hence we do not find any relation between the coefficients and zeros.

Anyway if the given values doesn't represents the zeros then those given values will not have any relation with the coefficients of the p[polynomial.

6 0

3 years ago