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Arlecino [84]
3 years ago
12

Rachel invested $15,000 in a nine-year CD giving 8.5% interest, but needed to withdraw $4,000 after two years. If the CD's penal

ty for withdrawal was six months' worth of interest on the amount withdrawn, how much money did Rachel have when the CD reached maturity, not including the amount she withdrew? Round answer to the nearest whole dollar.
Mathematics
2 answers:
JulijaS [17]3 years ago
8 0

Answer:


Step-by-step explanation:

The answer is 19,925

drek231 [11]3 years ago
5 0
Given:
Principal = 15,000
interest = 8.5%
term = 9 years

I = 15,000 * 8.5% * 9 years = 11,475
total amount after 9 years = 15,000 + 11,475 = 26, 475

Preterm after 2 years. wdl of 4,000. penalty is 6 months interest of 4,000

I = 4,000 * 8.5% * 6/12 = 170  amount of penalty
I = 15,000 * 8.5% * 2 years = 2,550 interest earned for 2 years

15,000 + 2,550 = 17,550
17,550 - 4,000 - 170 = 13,380 amount to be invested for another 7 years

I = 13,380 * 8.5% * 7 years = 7,961.10
total amount after 9 years with pretermination
 13,380 + 7,961.10 = 21,341.10
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What is the distance between the lines y = 2x and y = 2x+5? Round your answer to the nearest tenth.
Ilia_Sergeevich [38]

The distance between both lines is 2.24 units

Step-by-step explanation:

There is no straight method to find the distance between two lines. The distance can be found out by finding a point on one line and then finding the distance of that point from the other line. The y-coordinate of point is obtained by putting any value of x in equation . The x and y combined give us the point.

Given

y=2x\\Putting\ x=1\\y=2(1)\\y=2\\So, the\ point\ on\ y=2x\ is\ (1,2)

We have to find the distance of this point from y=2x+5

y=2x+5\\Subtracting\ y\ from\ both\ sides\\y-y=2x+5-y\\2x-y+5=0

The formula for finding distance of a point (x,y) from a line is:

d=\frac{|Ax+By+C|}{\sqrt{A^2+B^2}}

A=2

B=-1

C=5

Putting the values in the formula

d=\frac{|(2)(1)+(-1)(2)+5|}{\sqrt{(2)^2+(-1)^2}}\\d=\frac{|2-2+5|}{\sqrt{4+1}}\\d=\frac{|5|}{\sqrt{5}}\\d=\frac{5}{\sqrt{5}}\\d=2.236\ units

Rounding off will give: 2.24 units

The distance between both lines is 2.24 units

Keywords: Equations of lines

Learn more about distance in lines at:

  • brainly.com/question/7449065
  • brainly.com/question/7490805

#LearnwithBrainly

7 0
3 years ago
How many 5 cents can u get from $1.25?​
Zarrin [17]

Answer:

25

Step-by-step explanation:

5 cents = 0.05

1.25 / 0.05 = 25

let me know if i'm wrong

5 0
3 years ago
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Thepotemich [5.8K]
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8 0
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klemol [59]
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H^2 = 6^2 + 8^2
H^2 = 36 + 64
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(This is a right angle triangle as 60+30= 90
180-90= 90)
5 0
3 years ago
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Doss [256]

Answer:9

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4 0
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