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3 years ago

Find the a26 arithmetic sequence: -15,-35,-55,-75 -515 460 -490

Mathematics

1 answer:

Vlad [161]3 years ago

6 0

Step-by-step explanation:

<h3><u>QU</u><u>ESTION</u><u>:</u><u>-</u></h3>

<u>Fin</u>d 26th term of the A.P --15,-35,-55,-75...

First term=a=-15

Common Difference=d=-20

We know that

$\boxed{\sf a_n=a+(n-1)d}$

$\\ \:\:\:\:\sf {:}\dashrightarrow a_{26}=-15+(26-1)(-20)$

$\\ \:\:\:\:\sf {:}\dashrightarrow a_{26}=-15+25(-20)$

$\\ \:\:\:\:\sf {:}\dashrightarrow a_{26}=-15+(-500)$

$\\ \:\:\:\:\sf {:}\dashrightarrow a_{26}=-15-500$

$\\ \:\:\:\:\sf {:}\dashrightarrow {\boxed{\bf a_{26}=-515}}$

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Use the formula A = Pe^r*t. How much money would you have if you invested $6000 for 5 years, compounded continuously, at a rate

sergey [27]

Hi there :-)

The answer is

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3 years ago

Lien Chen took out a single-payment loan for $2300.00 at 6.25% ordinary interest to pay for her federal income tax bill. If the

Assoli18 [71]

Using simple interest, it is found that she would have to pay the loan back on May 17.

<h3>Simple Interest</h3>

Simple interest is used when there is a single compounding per time period.

The amount of money after t years in is modeled by:

$A(t) = A(0)(1 + rt)$

In which:

A(0) is the initial amount.

r is the interest rate, as a decimal.

In this problem, the parameters are:

$A(t) = 2317.97, A(0) = 2300, r = 0.0625$

Solving for t, we have that:

$A(t) = A(0)(1 + rt)$

$2317.97 = 2300(1 + 0.0625t)$

$1 + 0.0625t = \frac{2317.97}{2300}$

$1 + 0.0625t + 1.00781304348$

$0.0625t = 0.00781304348$

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$t = 0.125$

Considering a year has 365 days:

0.125 x 365 = 46

46 days after April 1, hence she would have to pay it back on May 17.

More can be learned about simple interest at brainly.com/question/25296782

4 0

2 years ago

Factor this polynomial. -3x^2-5x-2

vovikov84 [41]

Answer:

$-(3x+2)(x+1)$

Step-by-step explanation:

Lets factor the trinomial $-3x^2-5x-2$ step-by-step:

Step 1. Since all the terms are negative, we can factor -1 out

$-3x^2-5x-2=-1(3x^2+5x+2)$

Step 2. Split the middle term of $3x^2+5x+2$

$5x=3x+2x$ , so $3^2+5x+2=3x^{2} +3x+2x+2$

Step 3. Group common terms

$(3x^2+2x)+(3x+2)$

Step 4. Factor each parentheses

$x(3x+2)+(3x+2)$

Step 5. Factor the common binomial

$(3x+2)(x+1)$

Now, we can put it all together:

$-3x^2-5x-2=-(3x+2)(x+1)$

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3 years ago

Rock musician Donny West is paid 15% on his CD sales and tour video sales. Last year, he sold one million CDs and 550,000 videos

Likurg_2 [28]

Answer:

Total amount of CD sales was $750,000.

Step-by-step explanation:

one million CDs were sold at $5/CD.

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Donny gets 15% of the sales, so he'll receive the amount of CD sales as:

$5,000,000 × 15/100 = $50,000 × 15 = $750,000.

Optional:

If you add both of the multiplied values, 1,000,000 × 5 + 550,000 × 6

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if you calculate both separately and then add them, you'll still get $1,245,000.

I hope this'll help.

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3 years ago

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WITCHER [35]

Answer:

r<-4

Step-by-step explanation:

when inequality is divided by a negative number the sign changes to next direction.

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3 years ago