11.(A-CED.A.1 ) Write and solve the equation
1 answer:
Answer:
Ahmed runs 6 miles each day
Step-by-step explanation:
∵ Ahmad runs m miles each day
∵ Ali runs twice as many miles as Ahmad
→ That means Ali runs 2 × m miles each day
∴ Ali runs 2m miles each day
∵ Altogether, they run 18 miles each day
→ Add m and 2m, then equate the sum by 18
∴ m + 2m = 18
∴ 3m = 18
→ Divide both sides by 3 to find m
∵
∴ m = 6
∵ m represents the number of miles that Ahmed runs each day
∴ Ahmed runs 6 miles each day
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Answer:
x=4, y=4, λ=-16
Step-by-step explanation:
We have this 3x3 system of linear equations:
λ
λ
So, let's rewrite the system in its augmented matrix form
Let´s apply row reduction process to its associated augmented matrix:
Swap R1 and R3
R3-4R1
R3+R2
Now we have a simplified system:
x+y+0=0
0+4y+λ=0
0+0+2λ=-32
Solving for λ, x, and y
λ=-16
x=4
y=4
Answer:
The correct answer is $3300 for simple interest and $3312.24 for compound interest.
Step-by-step explanation:
Income as working as a lifeguard = $3000
We deposit the money in a bank which offers 2% interest annually for a period of 5 years.
Case 1 : Calculating simple interest for the given situation.
Amount after 5 years = 3000 + 3000 × 2 × 5 × = $ ( 3000 + 300) = $3300.
Case 2 : Calculating compound interest for the given situation.
Amount after 5 years = 3000 × = $ 3312.24.
Thus the amount after 5 years amount simply is $3000 and compoundly is $3312.24