Answer: $358.8 to the nearest tenth
Step-by-step explanation:
Compound interest is calculated by Where: A = P(1 + r)t
Where P= 300, r= 12% = 0.12, t= 1.5 years
Slot in the figures
300 (1 + 0.12) 1.5
300 (1.12) 1.5
300x 1.12
336e1.12
A = $ 358.84
Answer:
24) x = 9.2
25) x = 30.8
Step-by-step explanation:
Given
See attachment for triangles
Solving (24)
To solve for x, we make use of cosine formula
i.e.
cos(40) = adjacent ÷ hypotenuse
So, we have:
cos(40) = x ÷ 12
Multiply both sides by 12
12 cos(40) = x
12 * 0.7660 = x
x = 9.2
Solving (25)
To solve for x, we make use of sine formula
i.e.
sin(25) = opposite ÷ hypotenuse
So, we have:
sin(25) = 13 ÷ x
Multiply both sides by
x sin(25) = 13
Divide by sin(25)
x = 13 ÷ sin(25)
Using a calculator
x = 30.8
Answer:
Step-by-step explanation:
16^3 - 8^3
Take out 8^3 as a common factor.
16^3 = 2^3 * 8^3
8^3(2^3 - 1)
8^3(8 - 1) = 8^3 * 7
(4^3 + 2^3) Expand
64 + 8 Combine
72
72 = 9 * 8
Conclusion
(8*3 * 7 )(9*8)
7*9 = 63
So any number containing 63 will divide into the reduced form of
(16^3–8^3)(4^3 +2^3)
There are 8 gallons in 32 quarts becuase 4 quarts = 1 gallon so 32 divided by 4 is 8. Hope this helped! :)
When you multiply exponents with the same base, you add the exponents.
3+-5+y=-2
-2+y=-2
y=0
Final answer: y=0
