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Nikitich [7]
2 years ago
6

James purchased five bonds of face value of $1,000 that paid 5% annual interest rate. the total annual interest income of james

is _____. how do you work this problem out?
Mathematics
2 answers:
Trava [24]2 years ago
8 0
Given:
5 bonds of face value of 1,000 that paid 5% annual interest rate.

5 bonds x 1,000 = 5,000
5,000 x 5% x 1 year = 250

The total annual interest income of James is 250. Each bond earns 50 per annum.
garri49 [273]2 years ago
7 0

Answer:

The total annual interest income of James is $250.

Step-by-step explanation:

James purchased five bonds of face value of $1,000

So, total value of 5 bonds is = 5\times1000=5000 dollars

These bonds paid 5% annual interest rate.

So, interest becomes = 0.05\times5000=250 dollars

Hence, the total annual interest income of James is $250.

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Find an equation of the plane consisting of all points that are equidistant from (-3, 5, -4) and (-5, 0, 4), and having -2 as th
Firdavs [7]

Answer:

-2x-5y+8z+4.5=0

Step-by-step explanation:

Let (x,y,z) be the coordinates of the point lying on the needed plane. This point is equidistant from the points (-3, 5, -4) and (-5, 0, 4), so

d_1=\sqrt{(x-(-3))^2+(y-5)^2+(z-(-4))^2}=\sqrt{(x+3)^2+(y-5)^2+(z+4)^2}\\ \\d_2=\sqrt{(x-(-5))^2+(y-0)^2+(z-4)^2}=\sqrt{(x+5)^2+y^2+(z-4)^2}\\ \\d_1=d_2\Rightarrow \sqrt{(x+3)^2+(y-5)^2+(z+4)^2}=\sqrt{(x+5)^2+y^2+(z-4)^2}\\ \\(x+3)^2+(y-5)^2+(z+4)^2=(x+5)^2+y^2+(z-4)^2\\ \\x^2+6x+9+y^2-10y+25+z^2+8z+16=x^2+10x+25+y^2+z^2-8z+16\\ \\-4x-10y+16z+9=0\\ \\-2x-5y+8z+4.5=0

5 0
2 years ago
Read 2 more answers
You design the wooden poster frame and paint the front surface a. write a polynomial that represents the area of the wood you pa
Brilliant_brown [7]
A= 12x^{2} +60x+48 - 320 or A= 12x^{2} +60x - 272
mutiply the sides together to get a value and subtract the inside area of the frame to find the area.
Frame

 12x^{2} +60x+48
Area inside
16*20 = 320

7 0
2 years ago
A car company sells a scale model to of the size of one of its cars.
mixer [17]

Answer:

w = 13500 --- real windscreen

v = 408 --- scale volume

Step-by-step explanation:

Given

k = \frac{1}{10} --- scale factor

See attachment

Required

Complete the table

To get the windscreen (w) of the real car, we do the following computation

w = \frac{w_{scale}}{k^2}

This gives:

w = \frac{135}{(1/10)^2}

w = \frac{135}{1/100}

w = 13500

Next, the volume (v) of the scale mode

We make use of the following computation

v = v_{real} * k^3

So, we have:

v = 408000 * (1/10)^3

v = 408000 * 1/1000

v = 408

7 0
2 years ago
The table shows the number of grapes eaten over several minutes. What is the rate of change for the function on the table? 15 gr
Mkey [24]

Answer:

1. 15 grapes eaten per minute.

Step-by-step explanation:

We have been given a table that shows the number of grapes eaten over several minutes. We are asked to find the rate of change of our given function.

Since we know that rate of change of a function can be found by vertical change of the function divided by horizontal change of the function.  

\text{Rate of change of a function}=\frac{\text{Vertical change}}{\text{Horizontal change}}

\text{Rate of change of a function}=\frac{y_2-y_1}{x_2-x_1}

y_2-y_1=Difference between two y-coordinates.

x_2-x_1=Difference between corresponding x-coordinates of y-coordinates.    

Upon substituting coordinates of any two points in above formula we will get,

\text{Rate of change of the function}=\frac{60-15}{4-1}

\text{Rate of change of the function}=\frac{45}{3}

\text{Rate of change of the function}=15

We can see that rate of change of our given function is 15 grapes eaten per minute and 1st option is the correct choice.


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2 years ago
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It should be 4 according to my stats
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