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atroni [7]
2 years ago
14

WILL GIVE BRAINLIEST find the minimum value of the parabola y=x^2+42/5

Mathematics
1 answer:
Masja [62]2 years ago
5 0

Answer:

Minimum value = (0, \frac{42}{5} )

  1. Set up the function in general form
  2. Determine the direction of the graph
  3. Calculate -b/2a
  4. Find the corresponding f(x) value
  5. Write your quadratic function in standard or vertex form

Please Mark Brainliest If This Helped!

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Suppose you want to accumulate $25,000 as down payment on a house and the best you can do is to put aside $200 a month. If you d
Sunny_sXe [5.5K]

Answer:

It will take 88.2 months to accumulate the amount

Step-by-step explanation:

Given;

Future value of money, FV = $25,000

investment per compound period, P = $200

interest rate, i = 0.75% x 12 = 9%

The number of monthly installments required to amount to FV is given by;

n = \frac{ln(FVi +cp)-ln(cp)}{ln(c+i)-ln(c)}\\\\ n = \frac{ln(25000*0.09 +200*12)-ln(200*12)}{ln(12+0.09)-ln(12)}\\\\n = \frac{8.4446 -7.7832}{2.4924-2.4849}\\\\n = 88.2 \ months

Therefore, it will take 88.2 months to accumulate the amount.

7 0
4 years ago
What integer is equivalent to 9^3/2
ella [17]
Here is the problem and amswer 9/3=3 3/2= 1.5
4 0
3 years ago
A teacher is making a history test composed of the same number of multiple-choice questions as short-answer questions. She estim
STALIN [3.7K]

Answer:

The inequality is 5.5n \leq 45

Step-by-step explanation:

Total time:

The total time to complete the test is the sum of the number of multiple-choice questions multiplied by the time it takes to solve each and the number of short-answer questions multiply by the time it takes to solve each.

In this question:

Same number(n) of both.

Multiple-choice takes 2 minutes, short-answer takes 3.5 minutes. The total time is given by:

T = 2n + 3.5n = 5.5n

Write an inequality to determine how many questions, n, the teacher can include if the test must take students less than 45 minutes to complete.?

This means that:

T \leq 45

So

5.5n \leq 45

The inequality is 5.5n \leq 45

5 0
3 years ago
Shawn earns $12.75 per hour. How many hours does she need to work to earn $102 or more. Write and solve an inequality.​
astra-53 [7]
First we divide 102 by 12.75 to get the hours which is 8 hours. So it would take 8 hours
4 0
3 years ago
The weights of professional wrestlers are approximately normally distributed with a mean of 220 pounds and a standard deviation
nikdorinn [45]

Answer:

1.6%

Step-by-step explanation:

The cumulative distribution function (CDF) of a random variable X is denoted by F(x), and is defined as

F(x) = P(X ≤ x). where x is the largest possible value of X that is less than or equal to x

z = (x-μ)/σ,

where:

x is the raw score = 205

μ is the population mean, = 220 pounds

σ is the population standard deviation = 7 pounds

205 -220/7

z = -15/7

z = -2.1428571429

Using the normal cdf function on your graphing calculator,the cumulative distribution is

normalcdf( -2.1428571429, 100)

= 0.01606229

In percent form = 0.01606229 × 100

= 1.6%

5 0
3 years ago
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