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garik1379 [7]
3 years ago
15

sum of the 5th and 10th terms of an arithmetic sequence which are equal to the 20th term (80). find the 30th term

Mathematics
1 answer:
inysia [295]3 years ago
8 0

Yo sup??

a5=a+4d

a10=a+9d

a20=80=a+19d

a+4d+a+9d=a+19d

a=6d

80=6d+19d

80=25d

d=3.2

a=19.2

a30=a+29d

=19.2+92.8

=112

Hope this helps.

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The midpoint of MN is point P at (–4, 6). If point M is at (8, –2), what are the coordinates of point N?
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In this case:

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6 0
3 years ago
A family is purchasing a house and needs to finance a $195,000 mortgage from the bank with an annual percentage rate (APR) of 5.
Alecsey [184]

Monthly payment is $1082.84.

Solution:

Given data:

Principal = $195000

Rate per year = 5.3\% =\frac{5.3}{100}=0.053

Rate per month = \frac{0.053}{12} =0.004416

Time = 30 × 12 = 360 month

<u>To find the monthly payment using formula:</u>

$\text{Monthly payment}=P\times\frac{r(1+r)^n}{(1+r)^n-1}

                           $=195000\times\frac{0.004416(1+0.004416)^{360}}{(1+0.004416)^{360}-1}

                           $=195000\times\frac{0.004416(1.004416)^{360}}{(1.004416)^{360}-1}

If you simplify this using calculator, we get

                           =1082.84

Monthly payment = $1082.84

Option C is the correct answer.

Hence monthly payment is $1082.84.

5 0
3 years ago
Which of these is an exponential parent function?  A. f(x) = 2^x – 3  B. f(x) = 2^x + 2  C. f(x) = 2^x  D. f(x) = 2^x + 1/3
anygoal [31]

An exponential parent function is the option C. f(x)= 2^{x}, from the given options.

What do you mean by exponential parent function?

The formula for their parent function is y = b^{x}, where b is any non zero constant. Below is a graph of the parent function, y = e^{x}, which demonstrates that it will never equal 0. And at y = 1 when x = 0, y crosses the y-axis.

According to options in the given question,

We have the option below in the given question:

A. f(x) = 2^x – 3 

B. f(x) = 2^x + 2 

C. f(x) = 2^x 

D. f(x) = 2^x + 1/3

We know from the above definition that the option C. is the right answer to the given question.

Therefore, the exponential parent function is f(x)= 2^{x}.

To learn more about exponential parent function, visit:

brainly.com/question/24210615?referrer=searchResults

#SPJ1

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