What is the standard form of y=1x+19

If an investment of $3000 grows to $4432.37 in eight years with interest compounded annually , what is the interest rate?

melamori03 [73]

$\bf \qquad \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\to &\$4432.37\\
P=\textit{original amount deposited}\to &\$3000\\
r=rate\to r\%\to \frac{r}{100}\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{annually, thus once}
\end{array}\to &1\\
t=years\to &8
\end{cases}$

$\bf 4432.37=3000\left(1+\frac{r}{1}\right)^{1\cdot 8}\implies \cfrac{4432.37}{3000}=(1+r)^8
\\\\\\
\sqrt[8]{\cfrac{4432.37}{3000}}=1+r\implies \sqrt[8]{\cfrac{4432.37}{3000}}-1=r
\\\\\\
0.0500001086\approx r\qquad\qquad\cfrac{r\%}{100}\approx 0.0500001086
\\\\\\
r\%\approx 100\cdot 0.0500001086\implies r=\stackrel{\%}{5}$

6 0

3 years ago

A survey found that 35% of callers complain about the service they receive from a call center. Assume that the events of differe

sasho [114]

Answer:

0.336 or 33.6%

Step-by-step explanation:

It follows from the question that the probability of a complaint is 35% = 35/100 = 0.35. Let's call this probability, p.

The probability of no complaint is mutually exclusive of p since both are complements. Let's call this q. Then

q = 1 - p = 1 - 0.35 = 0.65

The distribution is a binomial distribution.

Events of each call are independent.

The probability of 2 calls with complaint out of 5 is

$\binom{5}{2}p^2 \timesq^3=10\times0.35^2\times0.65^3 = 0.336 = 33.6\%$

6 0

3 years ago

I need help please thanks

maksim [4K]

Answer:

Equation: $\frac{4}{3}x - 3$

Step-by-step explanation:

Slope = 4/3

Y-intercept = -3

Therefore;

Equation: y = mx + b

Equation: $\frac{4}{3}x - 3$

Hope this helps!

6 0

3 years ago

Find the answers to the following:

Mama L [17]

Answer:

A) y=mx+b

B) The slope of a line is a number that describes both the direction and the steepness of the line. The slope of the line is either increasing, decreasing, horizontal or vertical.

C) m= rise/run =y2-y1/x2-x1

D) A rate of change describes how one quanity changes with respect to the other. The rate of Change for a line is the slope, the rise over run, or the change in y over the change in x.

E)The y-intercept of the line is the value of y where the line crosses the y-axis.

F)The x-intercept of the line is the value of x where the line crosses the x-axis.

G) The point-slope formula is y-y1=m(x-x1)

H)HOY stands for Horizontal line, slope =0, their equations are in the form y= a constant

I)VUX stands for Vertical line, slope =Undefined, their equations are in the form x= a constant

J)If two lines are parallel, this means that the slopes are the same and the y-intercept are different.

K) The slope of perpendicular lines are the negative reciprocals of each other, and a pair of these lines intersects at 90 degrees

L) The similarities between parallel lines are they have the same steepness, or same angle from the horizontal. Since they have the same steepness they have the same slope.

M)The relationship between two lines that are perpendicular intersect at right angles. they are coplanar lines

8 0

3 years ago

Can a triangle be drawn with the following angle measures? 45, 55, 65

shtirl [24]

No because a triangle is 180 degrees and the following angles only equal to 165

4 0

3 years ago