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Serga [27]
3 years ago
13

5. Jon Metcalf signed a 253-day simple interest note for $7700 with a bank that uses exact interest. If the rate is 10 3/4% find

the maturity value.
Mathematics
1 answer:
morpeh [17]3 years ago
4 0

Answer:

8281.72

Step-by-step explanation:

Given:

Principal, P = 7700

Rate, r = 10 3/4 % = 43/4 % = 0.1075

Time, t = 253 days = 253/ 360

Using the relation :

A = P(1 + rt)

A = maturity value

A = 7700(1 + 0.1075*253/360)

A = 7700(1 + 0.0755486)

A = 7700(1.0755486)

A = 8281.7243

A = 8281.72

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The life expectancy of a circulating coin is 30 years. The life expectancy of a circulating dollar bill is only
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3 0
3 years ago
What is the y-intercept of the line perpendicular to (1,1) and (-3,-1) and passes through (-3,-2)
marin [14]

Answer:

-8

Step-by-step explanation:

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(1,1) and (-3,-1).

We'll find a line equation using the point slope form format to start:  

(y - y1) = m * (x - x1), where m is the slope and the x and y are from two points.

(x,y) = (1,1)

(x1,y1) = (-3,-1)

Rearrange the equation:

(y - y1) = m * (x - x1)

m = (y - y1)/ (x - x1)

m = (1-(-1))/(1-(-3))

m = 2/4, or 1/2:  The slope is 1/2.    [<u>This is "m."]</u>

We can use the slope-intercept form for this line (y=mx + b) and then calculate b, the y-intercept:

y = (1/2)x + b

Use either of the two given points.  I'll use (1,1) since I have memorized the "1" math tables.

y = (1/2)x + b  

1 = (1/2)(1) + b for (1,1)

b = 1/2

This makes the reference line:  y = (1/2)x+(1/2)

===

The line perpendicular must have a slope that is the negative inverse of (1/2).  This would be -(2/1), or -2.

We can then write y = -2x + b

To find be, enter the one given point for this line:  (-3,-2)

y = -2x + b

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b = -8

The perpendicular line is thus:

y = -2x - 8

It has a y-intercept of -8

5 0
2 years ago
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