What is the value of w in the equation 1/2w+7=2w-2

Answers

Answer 1

Answer: $(1)/(2)w+7=2w-2\ \ \ \ |subtract\ 7\ from\ both\ sides\n\n(1)/(2)w=2w-9\ \ \ \ |subtract\ 2w\ from\ both\ sides\n\n-1(1)/(2)w=-9\n\n-1.5w=-9\ \ \ \ |divide\ both\ sides\ by\ (-1.5)\n\n\boxed{w=6}$

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Sarah bought a lawnmower for $320. She signed up for the buy now pay later plan at the store with the following conditions: $100 down and payments of $25 for the next 12 months. The extra cost paid by taking this plan is equivalent to what actual yearly rate of interest? A. 67% B. 65% C. 25% D. 85%

Answers

The yearlyrate of interest is equivalent to the extra cost paid by taking the plan of $100 down and payments of $25 for the next 12 months is 25%

Option C is the correct answer.

What is simple interest?

It is the interest calculated on the principal at a given rate for a time period.

We have,

Sarah bought a lawnmower for $320.

Principal = $320

She signed up for the buy now pay later plan at the store with the following conditions:

$100 down and payments of $25 for the next 12 months.

This means,

Amount paid = $100

Amount paid for the next 12 months = $25

The totalamount paid in 12 months:

= 100 + 12 x 25

= 100 + 300

= $400

The extraamount paid:

= 400 - 320

= $80

The yearlyrate of interest:

Simple interest = Principal x Rate x Time / 100

80 = (320 x Rate x 1) / 100

8000 = 320 x Rate

Rate = 8000 / 320

Rate = 25%

Thus,

The yearlyrate of interest is equivalent to the extra cost paid by taking the plan of $100 down and payments of $25 for the next 12 months is 25%

Option C is the correct answer.

Learn more about simpleinterests here:

brainly.com/question/25845758

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Cost of the lawnmower bought by Sarah = $320
Amount of down payment made by Sarah = $100
Amount paid by Sarah in 12 months = (12 * 25) dollars
= 300 dollars
Total amount paid by Sarah = (300 + 100) dollars
= 400 dollars
Excess amount paid as interest by Sarah = (400 - 320) dollars
= 80 dollars
Actual yearly rate of interest paid by Sarah = (80/320) * 100 percent
= 25 percent
So 25% yearly interest was paid by Sarah. The correct option is option "C".

The original value of a car is $18,000, and it depreciates (loses value) by 15% each year. what is the value of the car after three years?

Answers

If the original value of a car is $18,000, and it loses value by 15% each year, then you can calculate the new value of the car after n years using following formula:

$P=\$18,000\cdot (1-0.15)^n.$

When n=3, then

$P=\$18,000\cdot (1-0.15)^3=\$18,000\cdot 0.85^3=\$11,054.25.$

Answer: the value of the car after 3 years is $11,054.25.

I think the answer would be 11,054.25$

What is √49 times 7?

Answers

Well,
First solve the square root which is 7
Funny enough, this makes 7 * 7 = 49
So the answer is 49!
Hope I helped!

The square root of 49 is 7 so 7×7=49 so the answer is 49.

Solve the equation 8/x-4=9/6+x

Answers

Solve by multiplying each side by the other side's denominator:

$(8)/(x - 4) = (9)/(6 + x)$
$8(6 + x) = 9(x - 4)$
$48 + 8x = 9x - 36$
$\bf x = 84$

Now, something you should always check when you have x in the denominator of a fraction is to make sure that there isn't a problem with division by 0. Since neither of the fractions has a denominator of 0 when x = 84, there's no issue, so we're safe.

$D:x\not =4 \wedge x\not=-6\n(8)/(x-4)=(9)/(6+x)\n\n9(x-4)=8(6+x)\n9x-36=48+8x\nx=84$

Which of the following is one way the expressionZ n can be rewritten using summation properties?181 46(47)2 T 21 64(65)1 (64 (65)) 1 17 (18)1 (64 (65) 1 19 (20)

Answers

The answer is the third option.

The solution is in the pdf file attached. Please, let me know if you can follow the steps.

the answer is C

Step-by-step explanation:

Solve the equation by completing the square. -9n^2+79+=-18n

Answers

Hello,
-9n²+79=-18n
==>9n²-18n-79=0
==>9(n²-2n+1-1)-79=0
==>9(n-1)²-88=0
==>[3(n-1)-2√22][3(n-1)+2√22]=0
==>3(n-1)=2√22 or 3(n-1)=-2√22
==>n-1=2/3*√22 or n-1=-2/3*√22
==>n=1+2/3*√22 or n=1-2/3*√22

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