The given complex number is ⇒ z = a + b i
The absolute value of z = √( a² + b² ) = 3.28
So, we will check which of the options will give 3.28
<span>( A) IF ⇒⇒ a=1.5 and b=1.7
</span>
<span>∴ √( a² + b² ) = √( 1.5² + 1.7²) = √5.14 ≈ 2.27
</span>
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<span>(B) IF ⇒⇒ a=1.5 and b=3.3
</span>
<span>∴ √( a² + b² ) = √(1.5² + 3.3²) = √13.14 ≈ 3.62
</span>
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<span>(C) IF ⇒⇒ a=1.7 and b=2.8
</span>
<span>∴ √( a² + b² ) = √(1.7² + 2.8²) = √10.73 ≈ 3.28
</span>
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<span>(D) IF ⇒⇒ a=2.8 and b=3.3
</span>
∴ √( a² + b² ) = √(2.8² + 3.3²) = √18.73 ≈ 4.33
=====================================
So, the correct answer is option (C) <span>a=1.7,b=2.8</span>
C. Savings account B because it has more compounding periods per year.
Step-by-step explanation:
Step 1:
Savings account A has an APR of 5% which compounds interest semiannually. This means that savings account A compounds twice in a year. If account A compounds 5% a time, it would compound 5(2) = 10% in a single year.
Step 2:
Savings account B also has an APR of 5% which compounds interest quarterly. This means that savings account B compounds four times in a year. If account B compounds 5% a time, it would compound 5(4) = 20% in a single year.
Step 3:
Savings account A gets an interest of 5% a year while savings account B gets an interest of 10% so account B offers a higher APR because of more compoundings in a year.
:8 x 5
cause its counting by eights so if u multiply what its counting by and how many miles you will get your hope this helps
Answer:
add all the sums then multibly by 2 put in chart then shove up ur ars buddy
Step-by-step explanation:
(1) 34.8 liters
(2) $63.55
Solution:
(1) There is a mistake in question. It is 42 liters.
Total gasoline a car can hold = 42 liters
Liters of gasoline filled in beginning of the week = 35.8
Liters of gasoline used during the week = 28.6
Remaining liters of gasoline in the tank = 35.8 – 28.6
= 7.2 liters
Quantity of gasoline need to buy to fill the tank completely
= Total capacity – Remaining gas in the tank
= 42 liters – 7.2 liters
= 34.8 liters
Hence Alberto need to buy 34.8 liters of gasoline to fill the tank.
Option B is the correct answer.
(2)
Shamika earns in first week = $25.75
Shamika earns in next week = $37.80
Total money Shamika have = First week earning + Second week earning
= $25.75 + $37.80
= $63.55
Don't add or subtract spending money, because the question is how much she have from these two weeks.
Hence Shamika have $63.55 from these two weeks.
