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3 years ago

What is the principal if the amount is $1056,the time is 4 years,and the rate is 8%?

1 answer:

7 0

Use the interest formula, fill in the given values, and solve for the remaining variable.
.. I = Prt
.. 1056 = P*.08*4 . . . . . . . . substitute the given values
.. 1056/0.32 = P = 3300 . . divide by the coefficient of P and evaluate

The principal is $3300.

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What is the final amount if 1235 is increased by 4% followed by a 4% decrease?

madam [21]

Answer:

1233.02 to 2 D.P.

Step-by-step explanation:

4 % = 0.04

So to obtain the amount after increase by 4% we multiply by 1.04:

1235 * 1.04 = 1284.4

Decreasing by 4%: we mutriply by 1 - 0.04 = 0.96:

1284.4 * 0.96

= 1233.024.

4 0

3 years ago

Read 2 more answers

(Picture) MULTIPLYING MONOMIALS AND BINOMIALS

Sauron [17]

Answer:

Option C is correct, i.e. 2x² +7x -4.

Step-by-step explanation:

Given is (2x-1)(x+4)

Applying FOIL method:-

F- multiply First two, O- multiply Outer two, I- multiply Inner two, L- multiply Last two.

So, (2x-1)(x+4) = 2x*x +2x*4 -1*x -1*4

(2x-1)(x+4) = 2x² +8x -1x -4

(2x-1)(x+4) = 2x² +7x -4

Hence, option C is correct, i.e. (2x-1)(x+4) = 2x² +7x -4.

3 0

3 years ago

What is the conversion factor to convert kilometers to miles?

GREYUIT [131]

Answer:

1 kilometer = 0.621371 mile

mile = kilometer * 0.621371

Step-by-step explanation:

6 0

3 years ago

Help asappppp<br> please

Juli2301 [7.4K]

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely.

<h3>What is the equation of a line?</h3>

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is the y-intercept.

The graphs can be described as shown below.

A.) The first graph has the y-intercept at 2. Therefore, the first graph can be described by the equation, y =5x + 2.

B.) For the second graph, the graph passes through the point (-1,0). Therefore, if we substitute the value of y as 0 in the equation y=3x+3, we will get x=-1.

Hence, the equation of the second graph is y=3x+3.

C.) For the third graph, the graph passes through the point (-1.5,0). Therefore, if we substitute the value of y as 0 in the equation y=2x+3, we will get x=-1.5.

Hence, the equation of the second graph is y=2x+3.

Learn more about Equation of Line:

brainly.com/question/21511618

#SPJ1

4 0

2 years ago

Find the absolute extrema for f(x,y)=4-x^2-y^4+1/2y^2 over the closed disk D:x^2+y^2 is less than or equal to 1

algol [13]

Find the critical points of $f(x,y)$ :

$\dfrac{\partial f}{\partial x}=-2x=0\implies x=0$

$\dfrac{\partial f}{\partial y}=y-4y^3=y(1-4y^2)=0\implies y=0\text{ or }y=\pm\dfrac12$

All three points lie within $D$ , and $f$ takes on values of

$\begin{cases}f(0,0)=4\\f\left(0,-\frac12\right)=\frac{65}{16}\\f\left(0,\frac12\right)=\frac{65}{16}\end{cases}$

Now check for extrema on the boundary of $D$ . Convert to polar coordinates:

$f(x,y)=f(\cos t,\sin t)=g(t)=4-\cos^2-\sin^4t+\dfrac12\sin^2t=3+\dfrac32\sin^2t-\sin^4t$

Find the critical points of $g(t)$ :

$\dfrac{\mathrm dg}{\mathrm dt}=3\sin t\cos t-4\sin^3t\cos t=\sin t\cos t(3-4\sin^2t)=0$

$\implies\sin t=0\text{ or }\cos t=0\text{ or }\sin t=\pm\dfrac{\sqrt3}2$

$\implies t=n\pi\text{ or }t=\dfrac{(2n+1)\pi}2\text{ or }\pm\dfrac\pi3+2n\pi$

where $n$ is any integer. There are some redundant critical points, so we'll just consider $0\le t< 2\pi$ , which gives

$t=0\text{ or }t=\dfrac\pi3\text{ or }t=\dfrac\pi2\text{ or }t=\pi\text{ or }t=\dfrac{3\pi}2\text{ or }t=\dfrac{5\pi}3$

which gives values of

$\begin{cases}g(0)=3\\g\left(\frac\pi3\right)=\frac{57}{16}\\g\left(\frac\pi2\right)=\frac72\\g(\pi)=3\\g\left(\frac{3\pi}2\right)=\frac72\\g\left(\frac{5\pi}3\right)=\frac{57}{16}\end{cases}$

So altogether, $f(x,y)$ has an absolute maximum of 65/16 at the points (0, -1/2) and (0, 1/2), and an absolute minimum of 3 at (-1, 0).

5 0

3 years ago