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3 years ago

Find an equation for the nth term of the arithmetic sequence. 9, 11, 13, 15...

Mathematics

2 answers:

antiseptic1488 [7]3 years ago

5 0

Answer:

Step-by-step explanation:

saul85 [17]3 years ago

3 0

Answer:

2n+7

Step-by-step explanation:

find the difference

and see the difference from the 2 Times table to the original sequence

and write it as an equation for this sequence

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19) Mr. Kelly finds a nice little bank (GOLIATH NATIONAL BANK) to invest the money he made from his

goblinko [34]

Answer:

Step-by-step explanation:

Answer: it will take 17.5 years to double his money in the account.

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1+r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = $500

A = 500 × 2 = $1000

r = 4% = 4/100 = 0.04

n = 4 because it was compounded 3 times in a year.

Therefore,.

1000 = 500(1 + 0.04/4)^4 × t

1000/500 = (1 + 0.01)^4t

2 = (1.01)^4t

Taking log of both sides, it becomes

Log2 = 4tlog 1.01

0.301 = 4t × 0.0043 = 0.0172t

t = 0.301/0.0172

t = 17.5 years

4 0

2 years ago

if I bought a laundry basket at $7.50 and it was marked down 20% what would that be and the sales tax is 1% what is the total co

rodikova [14]

Answer:

a) marked-down price = $6.00

b) with-tax cost = $6.06

Step-by-step explanation:

a) The amount of the markdown is ...

0.20 × $7.50 = $1.50

so the marked-down price is ...

$7.50 - 1.50 = $6.00

b) The sales tax is ...

0.01 × $6.00 = $0.06

so the total cost with tax is ...

$6.00 + 0.06 = $6.06

_____

Of course, you know that 20% = 20/100 = 0.20, and 1% = 1/100 = 0.01.

8 0

2 years ago

Original price of a CD is $17.50 discount is 50%

ladessa [460]

Answer:

$8.75

Step-by-step explanation:

To calculate this you could use two methods. The first method is to find out what 10% is and multiply it by 5. The second method is to calculate 50% using the formula.

Method 1:

To work this out you would simply divide 17.50 by 10, which is 1.75. This is because percentages are out of 100 and so by dividing by 10 we are finding out what 10% is. Then you would multiply 1.75 by 5, which is 8.75. Then you would minus 8.75 from 17.50, which is 8.75.

1) Divide 17.50 by 10.

$17.50/10=1.75$

2) Multiply 1.75 by 5.

$1.75*5=8.75$

3) Minus 8.75 from 17.50.

$17.50-8.75=8.75$

4) The new price is $8.75

Method 2:

The formula for percentages is.

$\frac{percentage}{100} * amount$

To work this out you would first divide 50 by 100, which gives you 0.5. Then you would multiply 0.5 by 17.50, which is 8.75. Then you would minus 8.75 from 17.50, which is 8.75.

1) Divide 50 by 100.

$50/100=0.5$

2) Multiply 0.5 by 17.50.

$17.50*0.5=8.75$

3) Minus 8.75 from 17.50.

$17.50-8.75=8.75$

4) The new price is $8.75.

7 0

2 years ago

What is the intermediate step in the form (x+a)2 = b as a result of completing the square for the following

skelet666 [1.2K]

For this case we have the following expression:

$x ^ 2-4x + 10 = 4x + 10$

We follow the steps below:

We subtract 4x on both sides of the equation:

$x ^ 2-4x + 10-4x = 4x + 10-4x\\x ^ 2-8x + 10 = 10$

We subtract 10 from both sides of the equation:

$x ^ 2-8x + 10-10 = 10-10\\x ^ 2-8x = 0$

Now, we must complete squares.

When we have an equation of the form:

$ax ^ 2 + bx + c = 0$ , if we want to complete squares we must subtract c on both sides of the equation obtaining:

$ax ^ 2 + bx + c-c = -c\\ax ^ 2 + bx = -c$

The square is completed by adding to both sides of the equation: $(\frac{b}{2})^{2}$

So, we have left:

$ax^2+bx + (\frac {b} {2})^{2} = - c + (\frac {b} {2}) ^ {2}$

In the given expression we have:

$a = 1\\b = -8\\c = 0$

And to complete the square we have:

$(\frac {b} {2}) ^ {2} = (\frac {-8} {2}) ^ {2} = 16$

Rewriting we have:

$x ^ 2-8x + 16 = 16$

We factor the left side of the equation, that is, we look for two numbers that when added together result in -8 and when multiplied as a result 16. We have:

$-4-4 = -8\\-4 * -4 = 16$

So, we have:

$(x-4) (x-4) = 16\\(x-4) ^ 2 = 16$

Answer:

The intermediate step is to complete squares

$(x-4) ^ 2 = 16$

7 0

3 years ago

Type the number to the left of the rational number in the box to the point it represents on the number

svlad2 [7]

Answer:

I put the numbers first because it was easier for me to do but if it confuses you I can redo it

1. C

2. D

3. F

4. B

5. E

6. A

7 0

1 year ago