MATHEMATICS MIDDLE SCHOOL

Joyce took out a small loan for $1,200. The interest on the loan was 10.5%, but she paid it off in just 18 months. How much did she pay back in interest?

Answers

Answer 1

Answer:

She paid back $192 in interest

Step-by-step explanation:

A = P(1+r)^n

P = $1,200

r = 10.5% = 0.105

n = 18 months = 18/12 = 1.5 years

A = 1,200(1+0.105)^1.5 = 1,200(1.105)^1.5 = 1,200×1.16 = 1,392

Amount = $1,392

Principal = $1,200

Interest = amount - principal = $1,392 - $1,200 = $192

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What’s 3x+6y=12 in the form y=mx+b

Answers

3x + 6y = 12

3x(-3x) + 6y = 12 (-3x)

6y = -3x + 12

6(y)/6 = (-3x + 12)/6

y = -1/2x + 2

hope this helps

Hey there!

3x+6y=12

Divide both sides by 3 and your equation would now look like:
x+2y= 4
Move the x to the other side
2y= -x+4
Seprate the y by dividing both sides by 2
y= $(1)/(2)$ x+2

40% of what number is 5

Answers

40% can be expressed as 40/100 or 0.4

$(40)/(100) * x = 5\n\n0.4 * x = 5$

Divide both sides by 0.4 to isolate 'x'

$0.4x = 5\n\n(0.4x)/(0.4) = (5)/(0.4)\n\nx = (5)/(0.4) \n\n\boxed{\bf{x = 12.5}}$

40% of 12.5 is 5.

It would be 12 and 1/2 because 40% is 2 and 1/2 of 100 and then you do 5 times 2 and 1/2 and you get 12 and 1/2.

What s an equivalent fraction to 70/80

Answers

An equivalent fraction is a fraction where its numerator and denominator are multiplied by the same constant factor. If the fraction can be simplified more, then the equivalent fraction simplified is also an equivalent fraction.

Some equivalent fractions for $(70)/(80)$ are $(7)/(8) , (140)/(160) , (14)/(16) , (210)/(240) , (21)/(24), ...$ and so on.

Hope that helps :)

An equivalent fraction could be this fraction in simplest form. 70/80 in simplest form is 7/8.

A 150 pound man burns 11.96 calories per minute whilerunning. He burns 4.5 calories per minute while walking.
He runs for x minutes and exercises for a total of 55
minutes. Write an equation to figure out how many
calories, C, he burns.

Answers

Answer:

Step-by-step explanation:

um it's really complicated but trust me it's 6

how much simple interest is earned on an investment of $1250 if the money is invested for 5 years at an annual interest rate of 4.5%

Answers

approximately $307.73 is the total amount of interest earned for 5 years at an annual interest rate of 4.5%, with an initial investment of $1,250.

Please help with hold page extra points given

Answers

2. 300 mph or nautical miles or Knots
3. 77 miles
4. 150 minutes
5. 270 miles
6. 20 yd per min.
7. 1200 miles
8. 14 ft. per min.
9. 2 hours.
10. 3 hours max. (unless u count traffic)
11. No, it will take 3 hours and 30 minutes.

easy, if you use your head and a shortcut

d=rt
d/r=t
d/t=r
basically if given 2 of the, you can find the rest with
d=rt
t=d/r
r=d/t

2. speed=r
d=3600m
t=12
r=d/t
r=3600m/12m
r=300m/min
rate=300m per minute

3. the time is 7 hours
speed =11mph=r
d=rt
d=7h times 11mph
d=77miles

4. given
d=300cm
r=2cmpermin
t=d/r
t=300cm/2cmpermin
t=150min

5. r=45mph
t=6h
d=rt
d=45mph times 6h
d=270miles

6. d=400yd
t=20min
r=d/t
r=400yd/20min
r=20yd/min
r=20yards per minute

7. r=120mph
t=10h
d=rt
d=120mph times 10h
d=1200miles

8. d=700ft
t=50min
r=d/t
r=700ft/50min
r=14ft/min
r=14 feet per minute

9. d==1200mi
r=600mph
t=d/r
t=1200mi/600mph
t=2h
t=2 hours

10. speed limit is 65mph=r
d=195miles
t=?
t=d/r
t=195mi/65mph
t=3 hours

11. 2 ways
1. find how far it travels in 4 hours
2. find how long it will take
both easy, I willl do first

in 4 hours
d=rt
d=4h times 65mph
d=260 miles
260mi>230mi
yes

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15.186 rounded to the nearest tenth

Three friends meals at a restaurant cost is 13,14,and 11 dollars. Use parentheses to write two different expressions to show how much the friends spent in all which property does your pair of expressions demonstrate?