In this question, you're solving for d.
Solve for d:
5(-6 - 3d) = 3(8+7d)
Use the distributive property:
-30 - 15d = 3(8+7d)
-30 - 15d = 24 + 21d
Add 30 to both sides:
-15d = 54 + 21d
Subtract 21d from both sides
-36d = 54
Divide both sides by -36
d = -3/2
Answer:
d = -3/2 or -1.5
Answer:
68 years old
Step-by-step explanation:
Answer:
see explanation
Step-by-step explanation:
(a)
4 × 4 = 4²
(b)
5 × 5 × 5 × 5 = ![5^{4}](https://tex.z-dn.net/?f=5%5E%7B4%7D)
(c)
3 × 7 × 7 × 7 × 7 = 3 × ![7^{4}](https://tex.z-dn.net/?f=7%5E%7B4%7D)
(d)
2 × 9 × 9 × 9 × 2 × 9 ← rearrange
= 2 × 2 × 9 × 9 × 9 × 9
= 2² × ![9^{4}](https://tex.z-dn.net/?f=9%5E%7B4%7D)
Area of a sphere formula = 4/3 pi x r^3
4/3 pi x 4^3 x 0.075 = 20.106
20.106 rounds to 20 to the nearest pound
Answer:
She should invest 6976.74 $ principal on daughter's 12th birthday.
Explanation:
We have I = prt, where I represents simple interest, p represents principal, r represents interest rate, and t represents time in years.
Here p + I = 12,000 $
So, I = 12000-p
Interest rate r = 12% =0.12
Number of years = 18 - 12 = 6 years.
Substituting
12000-p = p x 0.12 x 6
p + 0.72 p = 12000
1.72 p = 12000
p = 6976.74 $
So, she should invest 6976.74 $ principal on daughter's 12th birthday.