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3 years ago

I will rate you brainliest

Mathematics

1 answer:

jok3333 [9.3K]3 years ago

4 0

Answer:

Option (2)

Step-by-step explanation:

In an arithmetic progression,

$a_1,a_2,a_3.........a_{n-1},a_n$

First term of the progression,

a = $a_1$

Common difference 'd' = $(a_2-a_1)$

Recursive formula for the sequence,

a = $a_1$

$a_n=a_{n-1}+d$

By applying these rules in the recursive formula,

$a_1=\frac{4}{5}$

$a_n=a_{n-1}+\frac{3}{2}$

Common difference 'd' = $\frac{3}{2}$

Therefore, Option (2) will be the answer.

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6 x 10^-7 in scientific notation

Kaylis [27]

This is already in scientific notation

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3 years ago

Ace Cars says they will pay Jim a 10% commission on the sale price of each car. Budget Cars says they will pay him $500 per week

Arisa [49]

Answer:

$20,000

Step-by-step explanation:

You can quickly figure this by recognizing that the difference in commission must be the same as the base salary:

2.5%(car price) = $500

car price = $500/0.025 = $20,000

If you prefer, you can get there with equations.

At Job 1, the pay is ...

y = 10%×(car price)

At Job 2, the pay is ...

y = 7.5%×(car price)

Setting the equal (the two opportunities pay the same), we have ...

0.10(car price) = 500 +0.075(car price)

0.025(car price) = 500 . . . . . . . . subtract 0.075(car price)

car price = 500/0.025 = 20,000 . . . . divide by 0.025

Jim would have to sell a $20,000 car each week for the jobs to pay the same.

8 0

3 years ago

How to find the surface area of a prism

Anuta_ua [19.1K]

Answer:

If you are talking about the rectangular prism the equation is

2 × L × W + 2 × L × H + 2 × W × H

If you are talking about Triangular prism the equation is

B × H + L × S + L × B + L × C

5 0

3 years ago

the combined age of april and laura is 23 years. laura's age is two years more than half of april's age. what is laura's age

Kipish [7]

Laura's age is 9 years.

Solution:

Let x be the age of April.

Laura's age = 2 years more than half of April's age

<u>Convert statement into algebraic expression:</u>

Half of April's age = $\frac{x}{2}$

2 years more than half of April's age = $\frac{x}{2}+2$

Combined age of April and Laura = 23

⇒ April's age + Laura's age = 23

$$\Rightarrow \ \ x+(\frac{x}{2}+2) =23$

$$\Rightarrow \ \ x+\frac{x}{2}+2 =23$

$$\Rightarrow \ \ \frac{x}{1}+\frac{x}{2}+\frac{2}{1} =23$

To add the fractions make the denominators same.

Multiplying 2 on both numerator and denominator of unlike terms, we get

$$\Rightarrow \ \ \frac{x\times2}{1\times2}+\frac{x}{2}+\frac{2\times2}{1\times2} =23$

$$\Rightarrow \ \ \frac{2x}{2}+\frac{x}{2}+\frac{4}{2} =23$

Denominators are same, now add the fractions.

$$\Rightarrow \ \ \frac{2x+x+4}{2} =23$

Do cross multiplication.

$$\Rightarrow \ \ 2x+x+4=23\times2$

$$\Rightarrow \ \ 3x=46-4$

$$\Rightarrow \ \ 3x=42$

$$\Rightarrow \ \ x=14$

Aprils's age = 14 years

Laura's age = $\frac{14}{2}+2$

= 7 + 2

Laura's age = 9

Hence Laura's age is 9 years.

8 0

3 years ago

ABCD is a trapezoid find the value of X and y

Harlamova29_29 [7]

Hey there!

The full area equals . .

Your correct answer would be $x=53,y=106$

Hope this helps.
~Jurgen

6 0

3 years ago

Read 2 more answers