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3 years ago

13

Danielle plans on making monthly payments into an account that earns 2.5% compounded monthly. If she wants $10,000 in 22 years,

what do her payments need to be?

1 answer:

Nesterboy [21]3 years ago

4 0

Answer:

5,500

Step-by-step explanation:

I=PRT/100

Then

I = 2.5*10,000*22/100

I=#5,500

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The 10th term of an a.p is -27 and the 5th term is -12 .find the first term?

horsena [70]

Step-by-step explanation:

$a_{10} = - 27... (Given) \\\\\therefore a + 9d = - 27...... (1)\\\\a_{5} = - 12... (Given) \\\\\therefore a + 4d = - 12.......(2)\\\\$

Subtracting equation (2) from equation (1)

$a + 9d-( a + 4d )= - 27-(-12)\\\\\therefore a +9d - a-4d = - 27+12\\\\\therefore 5d = - 15\\\\\therefore d = \frac {- 15}{5}\\\\\huge \orange {\boxed {\therefore d = -3}} \\\\$

Substituting d = - 3 in equation (1), we find:

$a + 9\times (-3)= - 27\\\\\therefore a - 27 = - 27\\\\\therefore a = 27- 27\\\\\huge \red {\boxed {\therefore a = 0}}\\\\$

Hence, first term is zero.

3 0

3 years ago

In case of an emergency, the office has a calling list so everyone is called in the least amount of time. Each of the first 4 p

svlad2 [7]

Answer:

A.Yes.1st group is nothing ,the 2nd group is nothing,and so on .The 4th group is which does not equal 256 is the correct answer

5 0

3 years ago

Find the 18th term of the arithmetic sequence whose common difference is d=5 and whose first term is a, = 4.

dedylja [7]

Answer: 89

the 18th term is 4 + (18 - 1).5 = 4 + 17.5 = 89

Step-by-step explanation:

7 0

3 years ago

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Work out the area of this quarter circle take pie to be 3.142 radius in image attached thanks (:

iVinArrow [24]

Answer:

<h2>38.4895 cm^2</h2>

Solution,

Radius(R)= 7 cm

Area of quarter circle:

$\frac{\pi \: {r}^{2} }{4}$

$= \frac{3.142 \times 49}{4}$

$= 38.4895 \: {cm}^{2}$

Hope this helps...

Good luck on your assignment..

3 0

3 years ago

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If a line has a slope of 3, what is the slope of a perpendicular line?

pashok25 [27]

Answer:

Slope of perpendicular line is -1/3

Step-by-step explanation:

The slope of the given line is 3 and we have to find the slope of the perpendicular line.

We know that the slope of two perpendicular lines are negative reciprocal of each other.

In other words if the slope of the line is m then then slope of the perpendicular line is $-\frac{1}{m}$

The reciprocal of 3 is $\frac{1}{3}$

Hence, negative reciprocal of 3 is $-\frac{1}{3}$

Therefore, the slope of perpendicular line is -1/3

C is the correct option.

6 0

3 years ago