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Ronch [10]
11 months ago
9

find the simple interest earned, to the nearest cent, for each principal, interest rate, and time.$750 - 7% - 3 years

Mathematics
1 answer:
Phoenix [80]11 months ago
4 0

We have to apply the simple interest formula:

I = p x r x t

Where :

I = interest

p = principal amount

r= interes rate ( in decimal form, percentage divided by 100)

t= time (years)

Replacing with the values given:

I = 750 x (7/100) x 3

I = 750 x 0.07 x 3

I = $157.7

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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
2 years ago
What is the ratio unknown amount (x) invested in company A to the know amount ($24) invested in company B? Write the answer as a
lara [203]

Answer:

X/24

Step-by-step explanation:

he ratio of the unknown amount (x) invested in company A to the known amount ($24) invested in company B is X/24

7 0
3 years ago
Solve to find x and y in the diagram. HELP PLEASE!!!
Mashcka [7]

6x = 90

  x = 90/6

  x = 15

4x + 10y = 90

4(15) + 10y = 90

60 + 10y  = 90

10y = 30

y = 3

Answer: Last option

x = 15, y = 3

3 0
3 years ago
Read 2 more answers
What is the domain of y = log Subscript 4 Baseline (x + 3)?
LekaFEV [45]

Answer:

All real numbers greater than -3

Step-by-step explanation:

The domain of a log is the baseline is greater than 0.

Set x + 3 greater than zero and solve

x + 3 > 0

x > -3

3 0
1 year ago
A, B and C lie on a straight line.<br>Given that angle y = 135° and angle z = 97°, work out x.​
Over [174]

Answer:

135°+97°+x=180°. 232°+x=180°. x=232-180=102°

:x=102°

8 0
3 years ago
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