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3 years ago

Four times a number is 4 more than two times the number. What is the number? show all work

Mathematics

2 answers:

wariber [46]3 years ago

7 0

4n = 2n + 4

Solve for n.

Subtract 2n from both sides.

2n = 4

Divide 2 on both sides.

n = 2

Hope this helps!

MrRa [10]3 years ago

5 0

4x = 2x + 4 <== ur equation
4x - 2x = 4
2x = 4
x = 4/2
x = 2 <== ur number

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Find the number C(10,6)

EastWind [94]

Answer:

210.

Step-by-step explanation:

Combination formula is

$nCr = \frac{n!}{r!(n-r)!}$

Then, we have that n = 10 and r=6:

$C(10,6) = \frac{10!}{6!(10-6)!}$

$C(10,6) = \frac{10!}{6!4!}$

To simplify calculus, we are going to use that n! = (n-1)!n = (n-2)!(n-1)n and so on.

$C(10,6) = \frac{6!*7*8*9*10}{6!4!}$

$C(10,6) = \frac{7*8*9*10}{4!}$

$C(10,6) = \frac{5040}{4*3*2*1}$

$C(10,6) = \frac{5040}{24}$

$C(10,6) = 210.$

5 0

3 years ago

You plan to borrow $36,500 at a 7.7% annual interest rate. The terms require you to amortize the loan with 7 equal end-of-year p

erma4kov [3.2K]

The amount of interest you would be paying in Year 2 is: $2,492.62.

<h3>Interest</h3>

First step is to calculate the Equal Monthly Payment

Equal Monthly Payment=P×r×(1+r)^t/(1+r)^t-1

Where:

P=Principal=$36,500

r=Rate=7.7%

t=Time=7 years

Equal Monthly Payment=36,500×0.077×(1+0.077)^7÷(1+0.077)^7-1

Equal Monthly Payment=36,500×0.077×(1.077)^7÷(1.077)^7-1

Equal Monthly Payment=36,500×0.077×1.6807763÷1.6807763-1

Equal Monthly Payment=4,723.82/0.6807763

Equal Monthly Payment=$6,938.875

Second step is to calculate Year 1 Closing balance

Year 1 Closing balance = Beginning balance + Interest - EMI Payment

Year 1 Closing balance= $36,500 +($36,500×7.7%) - $6,938.875

Year 1 Closing balance= $36,500 + $2,810.5 -$6,938.875

Year 1 Closing balance = $32,371.625

Third step is to calculate year 2 interest

Year 2 Interest= $32,371.625×7.7%

Year 2 Interest=$2,492.62

Therefore the amount of interest you would be paying in Year 2 is: $2,492.62.

Learn more about interest here:brainly.com/question/15259578

#SPJ1

8 0

2 years ago

brand X pizza is having a special coupon offer. if you buy two large pizzas, you get $2.00 off the total price before tax. a lar

soldier1979 [14.2K]

Answer:

Very handy question to know the answer to. I know of no place on the planet that does not have a tax of some sort.

The tax only applies when money changes hands. It does not apply to any discounts

So if you take the deal, the cost is

Cost of 2 pizzas = normal price - the discount.

Cost of 2 pizzas = 2*10.50 - 2.00

Cost of 2 pizzas = 21 - 2

Cost of 2 pizzas = 19.00 dollars.

Not you add on the sales tax. You can do this one of two ways, the long way or the short way.

Long way

Find the sales tax

Tax = % * cost

Tax = (7.5/100) * 19

Tax = 1.425 don't round yet.

Total Cost = purchase + tax

Total Cost = 19.00 + 1.425 = 20.425 Now round. This is a real problem. It depends on what you have been told to do about rounding when 5 is the last digit. I round up. So my answer would be 20.43 <<<<< Answer.

Short Way

Cost = (Price - discount)*(1 + %/100)

Cost = (21 - 2)*(1+ 7.5/100)

Cost = 19 * (1.075)

Cost = 20.425 = 20.43

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

Marie is purchasing a $108,000 home with a 30 year ortgage at 5.25%. What is her monthly principal and interest payment

schepotkina [342]

Answer:

Monthly interest rate is r=0,004375

Monthly principal c=590,625

Step-by-step explanation:

Monthly interest payment rate :

$r=\frac{5.25}{12}:100=0,0004375$

Now, we need to find monthly principal payment : $c=\frac{rP}{1-(1+r)^{-N}}$

Use this rule : $N=30*12=360$

P=108000

r=0,004375

$c=\frac{0.004375*108000}{1-(1+0.004375)^{-360}} =\frac{472.5}{0.8}=590,625$

5 0

3 years ago

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What is the maximum of the numbers listed below?<br> 5.2, 5.4, 4.9, 4.4, 5.1

alexgriva [62]

Answer:

5.4

Step-by-step explanation:

5.2, 5.4, 4.9, 4.4, 5.1

4.4, 4.9, 5.1, 5.2, 5.4

5.4 is the maximum

Hope this helped!

7 0

3 years ago

Read 2 more answers