All categories

2 years ago

What is the 50th term of the arithmetic sequence having u(subscript)1 = -2 and d = 5

Mathematics

1 answer:

OLga [1]2 years ago

8 0

Answer:

243

Step-by-step explanation:

The general term for this arithmetic sequence is:

a(n) = -2 + 5(n - 1).

Then a(50) = -2 + 5(49) = 243

You might be interested in

Which expression is equivalent to: (x +9)(x+3)

labwork [276]

Answer:

Step-by-step explanation:

x*x=x^2

x*9=9x

x*3=3x

9x+3x=12x

9x3=27

x^2+12x+27

6 0

3 years ago

Read 2 more answers

3. Quincy deposits $400 in a new bank account that earns 4% simple interest per year. What

Illusion [34]

Answer:

$448

Step-by-step explanation:

We can use the simple interest formula for this:

$A = P (1 + rt)$

<em>P = initial balance</em>

<em>r = annual interest rate</em>

<em />

First, change 4% into its decimal form:

4% -> $\frac{4}{100}$ -> 0.04

Now, lets plug in the values:

$A=400(1+(0.04)(3))$

$A=448$

The total amount in the account after 3 years will be $448

8 0

3 years ago

Complete the following exercises by applying polynomial identities to complex numbers.

erik [133]

1.)

=(x-8i)(x+8i)

x^2+8ix-8ix-64i^2

x^2-64i^2

x^2-64(-1)

x^2+64

2.)

=(4x-7i)(4x+7i)

16x^2+28ix-28ix-49i^2

16x^2-49i^2

16x^2-49(-1)

16x^2+49

3.)

=(x+9i)(x+9i)

x^2+9ix+9ix+81i^2

x^2+18ix+81(-1)

x^2+18ix-81

4.)

=(x-2i)(x-2i)

x^2-2ix-2ix+4i^2

x^2-4ix+4(-1)

x^2-4ix-4

5.)

=[x+(3+5i)]^2

(x+5i+3)^2

(x+5i+3)(x+5i+3)

x^2+5ix+3x+5ix+25i^2+15i+3x+15i+9

x^2+6x+10ix+30i+25i^2+9

x^2+6x+10ix+30i+25(-1)+9

x^2+6x+10ix+30i-25+9

x^2+6x+10ix+30i-16

Hope this helps :)

6 0

2 years ago

There are 12 more apples than oranges in the basket of 36 apples and oranges. How

anygoal [31]

Step-by-step explanation:

<h3><u>Required Answer</u><u>:</u><u>-</u></h3>

Total number of fruits=36

Let

the number of oranges =x

The number of apples=x+12

${:}\leadsto$ $\sf x+x+12=36$

${:}\leadsto$ $\sf 2x+12=36$

${:}\leadsto$ $\sf 2x=36-12$

${:}\leadsto$ $\sf 2x=24$

${:}\leadsto$ $\sf x={\dfrac {24}{2}}$

${:}\leadsto$ $\sf x=12$

Number of Apples =12+12=24

7 0

2 years ago

Read 2 more answers

A dairy needs 325 gallons of milk containing 5% butterfat. How many gallons each of milk containing 6% butterfat and milk contai

zubka84 [21]

The amount of milk containing 6% butterfat and 1% butterfat are 260 gallons and 65 gallons respectively.

<u><em>Explanation</em></u>

Suppose, the amount of milk containing 6% butterfat is $x$ gallons

As the amount of mixture of milk should be 325 gallons, so the amount of milk containing 1% butterfat will be: $(325-x)$ gallons

Given that, the mixture of milk is containing 5% butterfat. So, the equation will be....

$0.06x+0.01(325-x)=0.05*325\\ \\ 0.06x+3.25-0.01x=16.25\\ \\ 0.05x= 13\\ \\ x= \frac{13}{0.05}=260$

So, the amount of milk containing 6% butterfat is 260 gallons and the amount of milk containing 1% butterfat is (325-260) gallons = 65 gallons.

8 0

3 years ago