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denpristay [2]
3 years ago
6

Find the four consecutive odd integers whose sum is -324

Mathematics
1 answer:
soldi70 [24.7K]3 years ago
8 0

Answer:

x ,x+2, x+4, x+6 it mst b it

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Focus (-3,3) vertex (0,3). What is the equation for the parabla
Gwar [14]

Answer:

(y - 3)² = 12(x + 3)  

Step-by-step explanation:

The focus is to the right of the vertex, so the parabola is sideways and opens to the right.

The conic form of a sideways parabola is

(y - k)² = 4p(x - h)

The vertex is at h = -3; k = 3

The focus is at (h + p, k) = (-3 + p, 3)

The vertex and focus are three units apart, so p = 3.

The equation of your parabola is

(y - 3)² = 12(x + 3)

The figure below shows the graph of your parabola with its focus and vertex.

8 0
3 years ago
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
2 years ago
F(x) = x2. What is g(x)?
ahrayia [7]

Answer:

Answer: g(x)=. Step-by-step explanation: We are given that: f(x)=x². We have to find g(x). Since, we are given that g(3)=1. Hence, we will ...  ·  g of x would equal (1/3x)^2 because if x was 6 y, g(x), would be 4

Step-by-step explanation:

6 0
2 years ago
Write an equivalent expression to
mel-nik [20]
1. Distributive Property. 
<span>4(3a + 7) + 3(2a + 5)
12a + 28 + 6a + 20

2. Combine like terms
12a + 28 + 6a + 20
18a +48


The equivalent expression is 18a + 48. If a = anything then the expressions will still be equivalent. 
</span>
5 0
3 years ago
Find the value of :​
beks73 [17]

Answer:

i) 66

ii) 536

Step-by-step explanation:

Check attachement(s) for solution.

  • Attachment - 1: Solution (i)
  • Attachment - 2: Solution (ii)

7 0
2 years ago
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