Answer:
0, 4.7, and 5.1
Step-by-step explanation:
Answer:
x = 22, y = -4
Step-by-step explanation:
x + 6y = -2 --- Equation 1
-x = 3y - 10 --- Equation 2
Equation 2 ×(-1): x = -3y + 10 --- Equation 3
Substitute x = -3y + 10 into Equation 1:
x + 6y = -2
-3y + 10 + 6y = -2
3y + 10 = -2
3y = -2-10
= -12
y = -12 ÷ 3
y = -4
Substitute y = -4 into Equation 3:
x = -3y + 10
x = -3(-4) + 10
= 12 + 10
x = 22
Answer:
Interest Rate : 0.0346 or 3.46%
Step-by-step explanation:
• 429.2=350*(1+x)^6
• 429.2/350= (1+x)^6
•(429.2/350)^(1/6)= 1+x
•(429.2/350)^(1/6)-1= x
Check work:
350*(1+0.0346)^6=429.2
Answer:
Fraction models can help clarify ideas that are often confused in a purely symbolic mode and construct mental terms that help them to perform fraction tasks meaningfully.
Step-by-step explanation:
Answer:
38.77 yd³
Step-by-step explanation:
The volume of the sphere can be determined by using the formula 4πr³/3.
[Where "r" is the radius of the circle].
<u>We are given that:</u>
Radius of circle = 2.1 yd
<u />
<u>When we substitute the radius in the formula, we get;</u>
⇒ 4 × π × (2.1)³/3
<u>Let π be substituted as 3.14. Then;</u>
⇒ 4 × π × (2.1)³/3
⇒ 4 × (3.14) × (2.1)³/3
<u>When evaulating the cube of 2.1, we get;</u>
⇒ 4 × (3.14) × (2.1)³/3
⇒ 4 × (3.14) × (2.1) × (2.1) × (2.1)/3
<u>When simplified, we get;</u>
⇒ 4 × (3.14) × (2.1) × (2.1) × (2.1)/3
⇒ 4 × (3.14) × (2.1) × (2.1) × (0.7)
⇒ 4 × (3.14) × (4.41) × (0.7)
⇒ (12.56) × (4.41) × (0.7)
⇒ 38.77272 ≈ 38.77 yd³ (Rounded to nearest hundredth)
Therefore, the volume of the sphere is 38.77 yd³.
