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.
The speed of the current is 25 kilometers per hour.
<h3>What is the speed of the current?</h3>
According to the statement, Naira traveled first with the current and later against the current, both in the same amount of time. We assume that both the speed of the current and the speed of the vehicle are constant. Hence, the travel time can be expanded to the following expression:
s₁ / (v + v') = s₂ / (v - v')
Where:
- s₁ - Distance traveled with the current, in kilometers.
- s₂ - Distance traveled against the current, in kilometers.
- v - Speed of the current, in kilometers per hour.
- v' - Speed of the vehicle relative to the current, in kilometers per hour.
If we know that s₁ = 4.5 km, s₂ = 3 km, v' = 5 km /h, then the speed of the current is:
4.5 / (v + 5) = 3 / (v - 5)
4.5 · (v - 5) = 3 · (v + 5)
4.5 · v - 22.5 = 3 · v + 15
1.5 · v = 37.5
v = 25
The speed of the current is 25 kilometers per hour.
To learn more on relative speeds: brainly.com/question/14362959
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<span>17x − 8x + 2 = 9x + 2 ...............combine like terms
answer
</span><span>2 + 9x, because (17x − 8x) + 2 = 9x + 2 = 2 + 9x ............commutative property</span><span>
</span>
Answer:
y=1
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
1x7 does equal 7
but 2x7 doesn't equals 14 not 19