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Ugo [173]
3 years ago
12

The equation of the parabola whose focus is at (7, 0) and directrix at x = -7 is:

Mathematics
1 answer:
Ierofanga [76]3 years ago
8 0

the answer is x=(1/28)y^2

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The variable Z is directly proportional to X. When X is 5, Z has the value 55.
LuckyWell [14K]
Z = k * x
55 = k * 5
divide both sides by 5
11 = x

z = 11x

z = 11 * 12
z = 132
6 0
3 years ago
For the equation : y = 2x + 10. Write any two possible solutions in ordered form. (Hint: e.G ( 4, 18))
nalin [4]

Answer:

(0, 10)

and

(1, 12)

5 0
3 years ago
Read 2 more answers
Which equation represents a line which is perpendicular to the line y=-4/5x+2?
lyudmila [28]

Answer:

D) 4x + 5y = -30 = -4/5

Step-by-step explanation:

A) 5x + 4y = 28 slope = -5/4

b) 4x-5y = -25 slope = 4/5

c) 4y - 5x = -12 slope = 5/4

d) 4x + 5y = -30 slope = -4/5

5 0
2 years ago
6. Estimate by clustering: 56.9, 63.2, 59.3, 61.1<br><br> A. 240.0<br><br> B. 200.0
Andre45 [30]
B!!!!!!!!!! The answer is 200

EXPLANATION

Added sum is estimated to 200
7 0
3 years ago
Read 2 more answers
Vanessa deposits $24,000 into each of two savings accounts. Account I earns 2. 4% interest compounded annually. Account II earns
ikadub [295]

The sum of the balances of these accounts at the end of 5 years is given by: Option B: $53,901.59 (approx)

<h3>How to calculate compound interest's amount?</h3>

If the initial amount (also called as principal amount) is P, and the interest rate is R% per unit time, and it is left for T unit of time for that compound interest, then the interest amount earned is given by:

CI = P(1 +\dfrac{R}{100})^T - P

The final amount becomes:

A = CI + P\\A = P(1 +\dfrac{R}{100})^T

<h3>How to calculate simple interest amount?</h3>

If the initial amount (also called as principal amount) is P, and the interest rate is R% annually, and it is left for T years for that simple interest, then the interest amount earned is given by:

I = \dfrac{P \times R \times T}{100}

For the considered case, we're given that:

  • Initial amount in both accounts deposited = $24,000 = P
  • Type of interest: Compound interest in first account and simple interest in second account
  • Unit of time: Annually
  • Rate of interest = 2.4% annually = R
  • Total unit of time for which amount is to be calculated: 5 years = T

In first account, the final amount at the end of 5 years is evaluated as:

A = 24000(1 + \dfrac{2.4}{100})^4 = 24000(1.024)^4  \approx 27021.59\: \rm (in \:  dollars)

In second account,  the final amount at the end of 5 years is evaluated as:

A = 24000 +  \dfrac{24000 \times 2.4 \times 5}{100} = 24000 + 2880 = 26880 \text{\: (in dollars)}

Total amount after 5 years in these accounts = 27021.59 + 26880 = 53901.59 (in dollars)

Thus, the sum of the balances of these accounts at the end of 5 years is given by: Option B: $53,901.59 (approx)

Learn more about compound interest here:

brainly.com/question/11897800

4 0
2 years ago
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