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3 years ago

If the 100th term of an arithmetic sequence is 710, and its common difference is 7, then

Mathematics

1 answer:

bearhunter [10]3 years ago

8 0

If a is the first term then a+99*7=710, a+693=710, a=710-693=17. The first term is 17.

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If Fun Reads Bookstore has a ready club with a $40 fee and charges $5 per book and Cool Covers Bookstores club charges $100 fee

choli [55]

Answer:

You have to buy more than 20 books to make Cool Cover Bookstore club a better deal.

Step-by-step explanation:

Given that:

Fee charged by Fun Reads Bookstore = $40

Charges per book = $5

Let x be the number of books.

A(x) = 5x+40

Fee charged by Cool Covers Bookstore = $100

Charges per book = $2

B(x) = 2x+100

For making Cool Cover Bookstores club a better deal,

B(x) > A(x)

2x+100 > 5x+40

2x-5x > 40-100

-3x > -60

Dividing both sides by -3

$\frac{-3x}{-3}>\frac{-60}{-3}\\x>20$

Hence,

You have to buy more than 20 books to make Cool Cover Bookstore club a better deal.

8 0

3 years ago

you own a rectangular lot that id 500 feet deep it had an area of 1,000 square feet to pay for a new water system you are assess

poizon [28]

I’m pretty sure it’s is a 6’50

6 0

3 years ago

$7000 is compounded semiannually at a rate of 11% for 21years Find the total amount and round to the nearest cent

photoshop1234 [79]

$\text{Given that }\$7000 \text{ is compounded semiannualy at a rate of }11\% \text{ for 21 years}\\
\\
\text{we know that the amount after t year when compounded is given by}\\
\\
A=P\left ( 1+\frac{r}{n} \right )^{nt}\\
\\
\text{here P is the principal amoount, so }P=7000,\\
\\
\text{r is the interest rate, }r=11\%=0.11\\
\\
\text{n is the number of times in a year, here semiannulay, so }n=2,\\
\\
\text{and t is the time, so }t=21\\
\\
\text{so the amount after 21 years is}$

$A=7000\left ( 1+\frac{0.11}{2} \right )^{2(21)}\\
\\
\Rightarrow A=7000\left ( 1+0.055 \right )^{42}\\
\\
\Rightarrow A=7000\left ( 1.055 \right )^{42}\\
\\
\Rightarrow A\approx 66328.68$

So the amount after 21 years is: $66328.68

7 0

3 years ago

Rectangular garden width 2.3 meters and a length of 2.8 meters what is the area

DENIUS [597]

Answer:

area = 2.3 x 2.8

area is 6.44 meters

Step-by-step explanation:

area is length multiplied by width

4 0

3 years ago

elogram ABCD, diagonals AC and BD intersect at point E. AE=2x, BE=y+10, CE=x+2 and DE=4y−8. Find the length of BD. A. 6 B. 16 C.

slega [8]

Answer:

Step-by-step explanation:

The diagonals of a parallelogram bisect each other, thus

DE = BE , substitute values

4y - 8 = y + 10 ( subtract y from both sides )

3y - 8 = 10 ( add 8 to both sides )

3y = 18 ( divide both sides by 3 )

y = 6

Thus

BD = y + 10 + 4y - 8 = 5y + 2 = 5(6) + 2 = 30 + 2 = 32 → D

4 0

3 years ago