what is 4x + 1 over 3 y2 when x=3 and y=6. Please show your work and tell me in a descriptive way how you got the answer!!! plea
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1) 3.8x + 5.2x - 6.7 = 11.3
9x = 11.3 + 6.7
9x = 18
x = 18/9
x = 2
2) 7.8y - 4.9 - 5.4y = 2.3
2.4y = 7.2
y = 7.2/2.4
y = 3
3)
Multiply by 3 by both sides:
Simplify:
2x = 18
x = 18/2
x = 9
4)
Do lowest common denominator:
Simplify by 5 by both sides:
9x = 11.3 + 6.7
9x = 18
x = 18/9
x = 2
2) 7.8y - 4.9 - 5.4y = 2.3
2.4y = 7.2
y = 7.2/2.4
y = 3
3)
Multiply by 3 by both sides:
Simplify:
2x = 18
x = 18/2
x = 9
4)
Do lowest common denominator:
Simplify by 5 by both sides:
Let l = 22.5 cm, b = 10 cm and h = 7.5 cm
Surface area of each brick
= 2(lb + bh + lh)
= 2(22.5 × 10 + 10 ×7.5 + 7.5 × 22.5 cm²
= 2 (225 + 75 + 168.75) cm²
= 2(468.75) cm² = 937.5 cm²
Area that can be painted using the paint of container = 9.375 m² = 9.375 × 100 × 100 cm²
Number of bricks that can be painted
Hence, 100 bricks can be painted out of the paint given in the container.
Surface area of each brick
= 2(lb + bh + lh)
= 2(22.5 × 10 + 10 ×7.5 + 7.5 × 22.5 cm²
= 2 (225 + 75 + 168.75) cm²
= 2(468.75) cm² = 937.5 cm²
Area that can be painted using the paint of container = 9.375 m² = 9.375 × 100 × 100 cm²
Number of bricks that can be painted
Hence, 100 bricks can be painted out of the paint given in the container.
The compound interest is applied to the remaining balance in the account
each subsequent year.
- The amount that must be deposited is approximately <u>$620.07</u>
Reasons:
The given compound interest rate, r = 6.25% = 0.0625
The balance in the account after 2 years, A = $700
Required:
The required deposit, <em>P</em>, that gives the given account balance after 2 years.
Solution:
The following is the compound interest formula to use;
Where;
t = 2 years
We get;
Which gives;
- The amount that must be deposited to give $700 after 2 years is P ≈ <u>$620.07</u>
Learn more about compound interest here: