Solution:
<u>Convert the fractions into improper fractions and solve.</u>
- 9 1/2 ÷ 3 7/10
- => 19/2 ÷ 37/10
- => 19/2 x 10/37
- => 19 x 5/37
- => 95/37
<u>Convert the fraction into mixed fraction (Not required):</u>
- => 95/37 = 37/37 + 37/37 + 21/37
- => 1 + 1 + 21/37
- => 2 + 21/37
- => 2 21/37
The solution to the problem is 2 21/37.
Answer:
Alex will pay $3,662
Step-by-step explanation:
To find the total cost, we can make an equation modeling y=mx+b, with y being the total cost, m being the monthly charges, x being the amount of time it takes, and b being the 10% down payment.
After plugging in the numbers to the equation, we get y=276(12)+350.
Now all that is left is to solve the equation as follows:
y=3,312+350
y=3,662
Answer:
4 . The answer is no .
5 . x=1
6. unlimited answers
7. There's no answer to this question .
Step-by-step explanation:
___________________
4. solution :
-20(2-4) = 2((5×-4) -4) =
-40 = -48 × impossible
___________________
5. solution :
-3+4x+12x+24 = 28x +12-3
-3+24-12+3=28x-12x-4x
27-15=12 = 2x - 16x =12x
12 = 12x
x =1
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6. solution :
24-3x+9-6 = -8x+20+5x+7
8x-5x-3x = -24-9+6+20+7
0=0
x can be every number you think because they are always equal to each other .
examination :
if you consider x as 1 :
24-3+9-6=-8+20+5+7
24=24
or if you consider x as 2 :
24-6+9-6 = -16+20+10+7
21 = 21
__________________
7 . solution :
3(x-2) = 3x+4
3x-6 = 3x+4
3x-3x = 10
0 = 10
if you consider x as 1 :
3-6 = 3+4
-3 = 7 × impossible .
Answer:
25.85 years
Step-by-step explanation:
Use the formula for continuous compounding amount:
A = Pe^(r*t), where r is the interest rate as a decimal fraction, P is the initial amount, and t is the time in years.
Here we have:
A = $200e^(0.0425*t) = 3($200) (this is triple the original amount)
Solve this for t. Divide both sides by $200 and then use natural logs:
1e^(0.0425*t) = 3
Then 0.0425*t = ln 3 = 1.0986
Dividing both sides by 0.0425 will isolate t:
1.0986
t = --------------- = 25.85 years
0.0425
