Answer:
x = 5
Step-by-step explanation:
4x = 7 - 8x - 27
1) Combine like terms (7 and -27). So, 7 + (-27) = -20.
4x = 8x - 20
2) Subtract 8x from both sides of the equation. So, 4x - 8x = -4x.
-4x = -20
3) Divide both sides by -4. So, -20 / -4 = 5.
x = 5
Answer:
108 in²
Step-by-step explanation:
Given that the legs of a right triangle are 12" and 18".
Be cause it is a right triangle (with 90 degrees between the legs), we can arbitrarily assign one of these to be the height and the other value automatically becomes the base.
Let 12" be height and 18" be base
area = 1/2 x height x base
= 1/2 x 12 x 18
= 108 in²
The amount you should deposit is $4709.18
Step-by-step explanation:
The formula for compound interest, including principal sum is
, where:
- A is the future value of the investment/loan, including interest
- P is the principal investment amount
- r is the annual interest rate in decimal
- n is the number of times that interest is compounded per unit t
- t is the time the money is invested or borrowed for
∵ You want to have $5000 in your savings account in 2 years
∴ A = 5000
∴ t = 2
∵ The account pays 3% annual interest, compounded monthly
∴ r = 3% = 3 ÷ 100 = 0.03
∴ n = 12 ⇒ compounded monthly
- Substitute these values in the formula above
∴ 
∴ 
∴ 
- Divide both sides by 
∴ P = 4709.18
The amount you should deposit is $4709.18
Learn more:
You can learn more about the compounded interest in brainly.com/question/2514241
#LearnwithBrainly
Answer:
$38.26
Step-by-step explanation:
add the amounts together and multiply by 0.075 and 0.15 add these answers to the original amount
Answer:
x=3/7 and x= 3
Step-by-step explanation:
First simplify:
-14 x^2 +48x -18
divide everything by -2
-2(7 x^2 -24x +9) (Multiply the leading coefficient 7 by the constant 9)
-2 (x^2 -24x +63)
-2 [(x-3)(x-21)] Now divide the 7 that you multiplied earlier from 3 and 21
-2 [(x-3/7)(x-21/7)]
-2 [(7x-3)(x-3)]
Hence, the zeroes are 3/7 and 3
Hope this helps!
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