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3 years ago

The first term of an arithmetic sequence is -5, and the tenth term is 13. Find the common difference.

Mathematics

1 answer:

Allisa [31]3 years ago

4 0

The common difference is 1.8

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Multiplying mateices

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Answer:

uhhhh

Step-by-step explanation:

7 0

3 years ago

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Divide. Write the answer in simplest form 1/8 divided by 1/4

andreev551 [17]

1/8*4=4/8=1/2--> the correct answer to this equation.

5 0

3 years ago

Joe's annual income has been increasing in the same dollar amount. The first year his income was $15,200, and the 4th year his i

lidiya [134]

Answer:

Therefore 6th year his income was $19,700.

Step-by-step explanation:

Given, Joe's annual income has been increasing in some dollar amount . The first year his income was $15,200 and 4th year his income was $17,900.

A=$17900, P= $15,200 and n = 3 year

$A= P(1+\frac{r}{100} )^n$

$\Leftrightarrow 17900=15200(1+\frac{r}{100})^3$

$\Leftrightarrow (1+\frac{r}{100})^3=\frac{17900}{15200}$

$\Leftrightarrow (1+\frac{r}{100})=(\frac{17900}{15200})^{\frac{1}{3} }$

$\Leftrightarrow \frac{r}{100}=(\frac{17900}{15200})^{\frac{1}{3} }-1$

$\Leftrightarrow r=5.60$

Let $t^{th}$ year Joe's income was $19,700.

$\therefore 19700=15,200(1+\frac{5.60}{100} )^{t-1}$

$\Leftrightarrow 1.296= (1+0.056)^{t-1}$

$\Leftrightarrow 1.296= (1.056)^{t-1}$

$\Leftrightarrow log(1.296)= (t-1)log(1.056)$

$\Leftrightarrow \frac{log(1.296)}{log(1.056)}= (t-1)$

$\Leftrightarrow t-1= 4.75$

$\Leftrightarrow t= 4.75+1$

$\Leftrightarrow t = 5.75$ ≈6

Therefore 6th year his income was $19,700.

8 0

3 years ago

Perform the indicated operations: (-2)2 + ( 5)(-3)

Galina-37 [17]

Answer:

-2 * 2 = -4, and 5 * -3 = -15, so -4 + (-15) = -19

Step-by-step explanation:

7 0

3 years ago

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3698 to the nearest thousand

ad-work [718]

Answer:

4000

Step-by-step explanation:

Find the number in the thousand place 3 and look one place to the right for the rounding digit 6 . Round up if this number is greater than or equal to 5 and round down if it is less than 5 .

4000

8 0

3 years ago