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S_A_V [24]
2 years ago
7

John saved $50,000. and wants to put the money into an Index Annuity that pays an average of 8.4% per year, compounded semi-annu

ally. How long will it take him to reach his goal of $1,000,000?
Mathematics
1 answer:
Oliga [24]2 years ago
6 0

Answer:

Divide 50,000 by 8.4...get that number and add it to the 50,000, divide again by 8.4 and add back, repeat until you reach 1,000,000... happy adding

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What is the equation of the line that is perpendicular to the line through (1,-4) and (-2,2) and passes through the x-intercept
ss7ja [257]

Answer:

y=-\frac{1}{2}x+\frac{3}{2}

Step-by-step explanation:

First, calculate the slope of the line that is perpendicular to the equation of line we are asked to find

m=(y2-y1)/(x2-x1)

  =(2-(-4))/(-2-1)

  =6/-3

  =-2

in this equation the slope is 2, and to find the first equation, use y=mx+b

use the point (1, -4) to find b

-4=(2)(1)+b

-4=2+b

b=-6

the first equation of the line is y=2x-6

to find the x intercept of that line substitute 0 for y

0=2x-6

2x=6

x=3

the slope of a line perpendicular to this would be the opposite reciprocal of the slope which would be equal to -1/2

for the second equation of the line to pass thorugh the x-intercept of the first line, it must pass through (3, 0), so substitute and solve for b

y=mx+b

0=(-1/2)(3)+b

b=3/2

thus the equation of the line that is perpendicular to the line through (1,-4) and (-2, 2) and passes through the x intercept of that line is y=-\frac{1}{2}x+3/2

8 0
3 years ago
Please help as soon as possible
Inessa [10]

Answer:

2.2.6

Step-by-step explanation:

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Can someone please help asap
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Answer:

I'd have to say, C: 13

Step-by-step explanation:

5 0
3 years ago
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ella [17]

Answer: M < -3

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Step-by-step explanation:

4 - 3m > -5

4 - 3m > (-4 -5)

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Find the value of x in each case:
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X + 100 = 4x +49
x= 17


158+148+32+x = 360
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3 years ago
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