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Lemur [1.5K]
3 years ago
9

Write a point-slope equation for the line that has slope 1.4 and passes through the point (21, 5). Do not use parenthesis on the

y side.
Mathematics
1 answer:
kicyunya [14]3 years ago
4 0
We know that
the equation of a line is
(y-y1)=m*(x-x1)
slope m=1.4
point <span>(21, 5)
</span>(y-y1)=m*(x-x1)----> y-5=1.4*(x-21)

the answer is
y-5=1.4*(x-21)

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Question 9 of 10 Which of these groups of values plugged into the TVM Solver of a graphing calculator will return the same value
hodyreva [135]

The TVM solver is a tool found in graphing calculators, that solve Time Value of Money problems.

The group of values that will return the same value as the given expression is;

D. N = 24; I% = 3.6; PV =; PMT = -415; FV = 0; P/Y = 12; C/Y = 12; PMT :END

<h3>What is Present Value?</h3>

Present value (PV) formula finds application in finance to calculate the present day value of an amount that is received at a future date.

In the TVM solver, we have;

I = The annual percentage rate

N = n × t

t = The number of years

PV = Present value

PMT = Payment

P/Y = Number of payments per year = n

C/Y = Number of compounding periods per year = n

The formula for monthly payment is presented as follows;

P = \frac{M[(1+r/n)^{nt} - 1]}{(r/n)(1+r/n)^{nt}}

M = \frac{P.(r/n)(1+ r/n)^{nt} }{(1+ r/n)^{nt} - 1}

Therefore, we get;

Where;

M = PMT = -415

P = PV

r = I

P/Y = n = 12

Therefore;

0.003 = I/12

I = 0.003 X 12 = 3.6%

N = n X t = 24

The value of the equation is the present value, PV = ?

When payment are made based on the PV, we have FV = 0

The group of values the same value as the expression

P = \frac{(415)[(1+0.003)^{24}-1]}{(0.003)(1+0.003)^{24}}

when plugged into the TVM solver of a calculator is;

D. N = 24; I% = 3.6; PV =; PMT = -415; FV = 0; P/Y = 12; C/Y = 12; PMT :END

Learn more about Present Value Solver from:

brainly.com/question/1759639

#SPJ1

7 0
2 years ago
Suppose that scores on a knowledge test are normally distributed with a mean of 60 and a standard deviation of 4.3. Scores on an
Sphinxa [80]

Question:

(c) Boris also took a logic test. His z-score on that test was +0.93 . Does this change the answer to which test Boris performed better on? Explain your answer using z-scores.

Answer:

The answers to the questions are;

(a) Based on the z score, Boris perform better on his aptitude test.

(b) Based on the z score, Callie perform better on his knowledge test .

(c) For Boris since +0.93 = z_{logic} >  z_{knowledge}  >  z_{aptitude}

Yes as Boris now performed best on the logic test.

Step-by-step explanation:

The z-score of a score is a measurement of the score withe respect to its distance from the mean as a factor of the standard deviation.

To solve the question, we note that we are required to find the z score as follows.

z score is given by z = \frac{x -\mu}{\sigma}

Where:

z = Standard score

x = Score

σ = Standard deviation

μ = Mean

(a) To find out which test did Boris performed better usin z score, we have

Boris scored a

57 on the knowledge test and

106 on the aptitude test

Therefore the z sore for the knowledge test is

z = \frac{x -\mu}{\sigma}

Here

x = 57

μ = 60

σ = 4.3

Therefore

z_{knowledge} = \frac{57 -60}{4.3} = -3/4.3 = -30/43 = -0.6977

The z sore for Boris on the aptitude test is

Here

x = 106

μ = 110

σ = 7.1

z_{aptitude} = \frac{106 -110}{7.1} = -40/17 = -0.5634

Based on the z score, Boris perform better on the aptitude test as his z score is higher (on the number line), --0.5634, compared to the z score on the knowledge test , -0.6977

(b) For Callie we have

Callie scored a

63 on the knowledge test and

114 on the aptitude test

Therefore the z sore for the knowledge test is

z = \frac{x -\mu}{\sigma}

Here

x = 63

μ = 60

σ = 4.3

Therefore

z_{knowledge} = \frac{63 -60}{4.3} = 3/4.3 = 30/43 = 0.6977

The z sore for Callie on the aptitude test is

Here

x = 114

μ = 110

σ = 7.1

z_{aptitude} = \frac{114 -110}{7.1} = 40/17 = 0.5634

Based on the z score, Callie perform better on the knowledge test as his z score is higher (on the number line), 0.6977, compared to the z score on the aptitude test , 0.5634.  

(c) If z_{logic}  = +0.93 then sinc for Boris z_{knowledge} = -0.6977 and

z_{aptitude}=  - 0.5634 then

z_{logic} >  z_{knowledge}  >  z_{aptitude}

Therefore Boris now performed best on the logic test.

6 0
3 years ago
Helppppppppppp. Pleaseeeeeeeeeeeeeeeeeeeeeeeeeeee
olga55 [171]

Answer:

7

Step-by-step explanation:

form a proportion

12/2=42/x

cross multiply

12x=84

x=7

6 0
3 years ago
Read 2 more answers
What is value of x in the equation(x+ 4)^5 =3125
olga_2 [115]
(X+4)^5=3125
Use distributive property for x and 5 and 4 and 5 to get
5x+20=3125
Then subtract 20 from both sides to get
5x=3105
Then divide both sides by 5 to get
X= 621
5 0
4 years ago
Read 2 more answers
Gary wants to buy a video game with a price of $48 the game is marked as 50% off and the sales tax in his state is 4.5%
Viktor [21]
48^.5=24
24^.045=1.08
24+1.08=
$25.08
8 0
3 years ago
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