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____ [38]
3 years ago
8

X = -60i + 80 What is the real part of Z? What is the imaginary part of Z?

Mathematics
1 answer:
Deffense [45]3 years ago
5 0

Answer:

the real part is 80

the imaginary part is -60

Step-by-step explanation:

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What is the balance after 15 years in a savings account that earns 2% interest compounded bimonthly when the initial deposit is
Ierofanga [76]

Answer:

$1348.07

Step-by-step explanation:

Hello!

<h3>Compound Interest Formula: A = P(1 + \frac rn)^{nt}</h3>
  • A = Account Balance
  • P = Principle/Initial Amount
  • r = Rate of Interest (decimal)
  • n = Number of times compounded (per year)
  • t = Number of Years

<h3>Given Information</h3>
  • Account Balance = ?
  • Principle Amount = $1000
  • Rate of Interest = 0.02

Why is the Rate 0.02?

This is because we are gaining money, so the multiplier should be greater than 1. We already added 1, which is 100% so you simply add the 0.02 for the extra 2%.

  • Number of times compounded per year = 6

This is because it is being compounded bi-monthly, or once every 2 months. 12 months divided by 2 months is 6 months, so 6 times a year.

  • Number of years = 15

<h2>Solve </h2>

Solve by plugging in the given values into the formula.

  • A = P(1 + \frac rn)^{nt}
  • A = 1000(1 + \frac {0.02}{6})^{6*15}
  • A = 1000(1 + 0.00333...)^{90}
  • A = 1000(1.00333...)^{90}
  • A = 1000(1.145743)
  • A \approx 1457.43

This is really close to the first option, and since there is rounding involved with the repeating decimal, the first option should be correct.

The answer is $1348.07.

3 0
1 year ago
(5•-3) - (4•-3) + -3 - (3•-3)
Dmitry_Shevchenko [17]
Use PEMDAS.

Parenthesis first.

(-15)-(-12)+3-(-9)

Next multiply,

(-15)+12+3+9 (two negatives get you a positive)

Finally, add and subtract:
-15+24=9

You get 9 as your answer.

Hope this helps!
4 0
3 years ago
Gina can trade empty bottles for money at the grocery store. She returned a few bottles worth $0.10 each and 6 bottles worth $0.
Irina18 [472]

Answer:

5 bottles

Step-by-step explanation:

a total of $0.80 was paid

6 $0.05 bottles were returned= $0.05×6= $0.30

remainder= $0.80-$0.30= $0.50

amount of $0.10 bottles returned= $0.50÷$0.10= 5

3 0
2 years ago
what is the y-intercept of the line perpendicular to the line y = 4/3 x + 1 that includes the point (4, 1)
garik1379 [7]

Answer:

j3rfjjwdjfjahfkjahfkdjfhdkf

Step-by-step explanation: aa a a a a aa a a a a a

4 0
2 years ago
Read 2 more answers
y varies jointly as x and z, and y = 32 m, x = 6 m, and z = 8 m. What is the value of y when x = 5 m and z = 12 m
Fantom [35]
We are given y = kxz
We also know 32 = k×6×8, so k = 32/48 = 2/3.
We are then asked to solve:

y =  \frac{2}{3}  \times 5 \times 12 = 40
3 0
3 years ago
Read 2 more answers
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