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777dan777 [17]
3 years ago
5

Noah wants to buy a 5 year annuity that pays $1000 at the end of each year, starting one year from now. It earns interest at 6.2

5% compounded annually. How much will it cost him? Include in your answer: -- Calculations for n and - What formula you are using - Answer to the question âº
Mathematics
1 answer:
pav-90 [236]3 years ago
5 0

Answer:

cost is $4183.87

Step-by-step explanation:

given data

time t = 5 year

amount A = $1000

rate r = 6.25 %  = 0.0625

to find out

how much it will cost

solution

we will apply here formula for present value of annuity that is express as

present value = amount ×\frac{1-(1+r)^{-t}}{r}      ....................1

put here all these value we get cost we will pay

present value = amount ×\frac{1-(1+r)^{-t}}{r}

present value = 1000 ×\frac{1-(1+0.0625)^{-5}}{0.0625}

present value = 4183.869221

so cost is $4183.87

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Micheal buys a new jacket for 90 dollars. Sales tax is 8%. How much does Micheal actually have to pay?
Illusion [34]

Answer:

$97.20

Step-by-step explanation:

you make the 8% into a decimal by moving the decimal to places to the left.

8%=0.08, Then you multiply that by the whole number of 90 dollars.

0.08 x 90 = $97.20

3 0
2 years ago
Through: (1,0), slope=1
vitfil [10]
Standard form:
Y - 0= 1(x - 1)
Y - 0= x - 1
-x+y= -1
- (-x+y= -1)
Answer:
x-y=1

Slope-Intercept form:
Y - 0= 1(x-1)
Y - 0 = x - 1
Answer:
Y= x-1
4 0
3 years ago
Which function has the greatest rate of change on the interval from x = 3 pi over 2 to x = 2π?
vodka [1.7K]
The average rate of change for the function f(x) can be calculated from the following equation
\frac{f( x_{2})-f( x_{1} )}{ x_{2} - x_{1} }

By applying the last formula on the given equations 
(1) the first function f
from the table f(3π/2) = -2   and   f(2π) = 0
∴ The average rate of f = \frac{f(2 \pi)-f( \frac{3 \pi}{2} )}{2 \pi -  \frac{3 \pi}{2} } =  \frac{0-(-2)}{ \frac{\pi}{2} }=  \frac{2}{ \frac{\pi}{2} }  =  \frac{4}{\pi}

(2) the second function g(x)
from the graph g(3π/2) = -2   and   g(2π) = 0
∴ The average rate of g = \frac{g(2 \pi)-g( \frac{3 \pi}{2} )}{2 
\pi -  \frac{3 \pi}{2} } =  \frac{0-(-2)}{ \frac{\pi}{2} }=  \frac{2}{ 
\frac{\pi}{2} }  =  \frac{4}{\pi}

(3) the third function h(x) = 6 sin x +1
∴ h(3π/2) = 6 sin (3π/2) + 1 = 6 *(-1) + 1 = -5
   h(2π) = 6 sin (2π) + 1 = 6 * 0 + 1 = 1
∴ The average rate of h = \frac{f(2 \pi)-f( \frac{3 \pi}{2} )}{2 
\pi -  \frac{3 \pi}{2} } =  \frac{1-(-5)}{ \frac{\pi}{2} }=  \frac{6}{ 
\frac{\pi}{2} }  =  \frac{12}{\pi}

By comparing the results, The <span>function which has the greatest rate of change is h(x)
</span>

So, the correct answer is option <span>C) h(x)</span>
4 0
3 years ago
Write the slope intercept form of the equation of the line through the given points x intercept of -5 and y intercept of -1. Pls
soldier1979 [14.2K]

bearing in mind that an x-intercept is when the graph touches the x-axis and when that happens y = 0, and a y-intercept is  when the graph touches the y-axis and when that happens x = 0.

\bf \underset{x-intercept}{(\stackrel{x_1}{-5}~,~\stackrel{y_1}{0})}\qquad \underset{y-intercept}{(\stackrel{x_2}{0}~,~\stackrel{y_2}{-1})} ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-1}-\stackrel{y1}{0}}}{\underset{run} {\underset{x_2}{0}-\underset{x_1}{(-5)}}}\implies \cfrac{-1}{0+5}\implies -\cfrac{1}{5}

\bf \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0}=\stackrel{m}{-\cfrac{1}{5}}[x-\stackrel{x_1}{(-5)}] \\\\\\ y=-\cfrac{1}{5}(x+5)\implies y = -\cfrac{1}{5}x-1

4 0
3 years ago
Pedro fills a glass 2/4 full with orange juice write a fraction with a denominator of 6 that is greater than2/4
soldier1979 [14.2K]
One would be 4 over 6 or 5 over 6 hope I helped good luck

5 0
3 years ago
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