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Mariana [72]
2 years ago
11

You plan to invest $1,210 a year for 7 years at a 9 percent annually? How much will you have in 7 years? Assume the first invest

ment is made in one year.
Mathematics
1 answer:
erastova [34]2 years ago
4 0

Answer:

See below

Step-by-step explanation:

For SIMPLE interest :

 1210 + 1210 * .09 * 7 = <u> $ 1972.30</u>

For ANNUAL COMPOUNDING of interest

  1210 ( 1 + .09)^7 = <u>$ 2211.93</u>

<u />

I do not know which one you need....what are you studying presently?

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Find the values of x and y.<br> 2(5x- 5)°<br> (5y + 5)º (7y - 9°<br> (6x + 50)
Amanda [17]

The values of x and y are 15 and 7 respectively

The angles formed from the intersection of two lines at X are equal and vertically opposite angles.

From the figure shown, we can conclude that:

2(5x-5) = 6x + 50 (vertically opposite angle)

Expand

10x - 10 = 6x + 50

10x - 6x = 50 + 10

4x = 60

x = 60/4

x =15

Similarly;

5y + 5 = 7y - 9

Collect the like terms;

5y - 7y = -9 - 5

-2y = -14

y = 14/2

y = 7

Hence the values of x and y are 15 and 7 respectively

Learn more here: brainly.com/question/15198257

4 0
3 years ago
Passing through (-2,1 ) and perpendicular to<br> 4x + 7y + 3 = 0.
Lunna [17]

Answer:

<h2>7x - 4y + 18 = 0</h2>

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

m - slope

b - y-intercept

========================================

Let

k:y=m_1x+b_1\\\\l:y=m_2x+b_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\l\ \parallel\ k\iff m_1=m_2

========================================

We have the equation of a line in a general form (Ax + By + C = 0)

Convert it to the slope-intercept form:

4x+7y+3=0             <em>subtract 7y from both sides</em>

4x+3=-7y         <em>divide both sides by (-7)</em>

-\dfrac{4}{7}x-\dfrac{3}{7}=y\to m_1=-\dfrac{4}{7}

Therefore

m_2=-\dfrac{1}{-\frac{4}{7}}=\dfrac{7}{4}

We have the equation:

y=\dfrac{7}{4}x+b

Put the coordinates of the point (-2, 1) to the equation, and solve for <em>b</em> :

1=\dfrac{7}{4}(-2)+b

1=-\dfrac{7}{2}+b     <em>multiply both sides by 2</em>

2=-7+2b           <em>add 7 to both sides</em>

9=2b            <em>divide both sides by 2</em>

[te]x\dfrac{9}{2}=b\to b=\dfrac{9}{2}[/tex]

Finally:

y=\dfrac{7}{4}x+\dfrac{9}{2} - <em>slope-intercept form</em>

Convert to the general form:

y=\dfrac{7}{4}x+\dfrac{9}{2}         <em>multiply both sides by 4</em>

4y=7x+18      <em>subtract 4y from both sides</em>

0=7x-4y+18

6 0
3 years ago
The CPU of a personal computer has a lifetime that is exponentially distributed with a mean lifetime of six years. a) What is th
amm1812

Answer: Our required probability is 0.39.

Step-by-step explanation:

Since we have given that

X be the exponentially distributed with mean life = 6 years

So, E[x]=6

\dfrac{1}{\lambda}=6\\\\\lambda=\dfrac{1}{6}

So, our cumulative distribution function would be

F(x)=1-e^{-\lambda x}

We need to find the probability that the CPU fails within 3 years.

P(X

Hence, our required probability is 0.39.

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Explanation:

Sum of length and width = (3x-1)+(1.5x+3)
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3 years ago
Do these numbers 19.657 &lt; 19.67​
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