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vovangra [49]
3 years ago
7

Jacob borrowed $30, 000 to start up his consulting business. The loan had simple interest rate of 6.2% for 3 years. Use I= part

to find the amount of interest he will pay with the loan.I= interest;p=principal: r= rate ( expressed as a decimal 0.062): t=time in year
Mathematics
1 answer:
sammy [17]3 years ago
6 0

Answer:

The amount of interest is $5580.            

Step-by-step explanation:

Given : Jacob borrowed $30, 000 to start up his consulting business. The loan had simple interest rate of 6.2% for 3 years.

To find : The amount of interest he will pay with the loan ?

Solution :

Using interest formula,

I=P\times R\times T

Where, P is the principal P=$30,000

R is the rate of interest R=6.2%=0.062

T is the time t=3 years.

Substitute the value in the formula,

I=30000\times 0.062\times 3

I=5580

Therefore, The amount of interest is $5580.

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lbvjy [14]
Circumference: 2πr
Circumference: 2(3.14)(x + 1)
Circumference: 6.28(x + 1)
Circumference: 6.28(x) + 6.28(1)
Circumference: 6.28x + 6.28

Area: πr²
Area: 3.14(x + 1)²
Area: 3.14(x  +1)(x + 1)
Area: 3.14(x(x + 1) + 1(x + 1))
Area: 3.14(x(x) + x(1) + 1(x)  1(1))
Area: 3.14(x² + x + x + 1)
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Area: 3.14(x²) + 3.14(2x) + 3.14(1)
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6 0
3 years ago
A random sample of 85 group leaders, supervisors, and similar personnel revealed that a person spent an average 6.5 years on the
strojnjashka [21]

Answer:

<em>95% of confidence interval for the Population</em>

<em>( 6.1386 , 6.8614)</em>

Step-by-step explanation:

<u><em>Step( i ):-</em></u>

<em>Given random sample size 'n' =85</em>

<em>Mean of the sample size x⁻ = 6.5 years</em>

<em>Standard deviation of Population = 1.7 years</em>

<em>Level of significance = 0.95 or 0.05</em>

<u><em>Step(ii):-</em></u>

<em>95% of confidence interval for the Population is determined by</em>

<em></em>(x^{-} - Z_{0.05} \frac{S.D}{\sqrt{n} } , x^{-} + Z_{0.05} \frac{S.D}{\sqrt{n} })<em></em>

<em></em>(6.5 - 1.96\frac{1.7}{\sqrt{85} } , 6.5 + 1.96 \frac{1.7}{\sqrt{85} })<em></em>

<em>( 6.5 - 0.3614 , 6.5 + 0.3614 )</em>

<em>( 6.1386 , 6.8614)</em>

<u><em>Conclusion</em></u><em>:-</em>

<em>95% of confidence interval for the Population</em>

<em>( 6.1386 , 6.8614)</em>

8 0
3 years ago
What is the distributive property of 4+10
IgorC [24]

Answer:

  2(2 +5)

Step-by-step explanation:

We presume you want to rewrite the expression making use of the distributive property. For that, it is helpful to find a factor common to the two terms. The GCD of 4 and 10 is 2, so we can factor that out:

  4 + 10 = 2(2 +5)

_____

Of course, you can use any factor you like. It doesn't need to be an integer.

  = (1/3)(12 +30)

  = 0.4(10 +25)

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4 0
3 years ago
A company's stock was selling at
belka [17]

<u>old:</u> $16

<u>new:</u> $20

<u>percent increase</u>

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(20-16 / 16) x 100

4/16 x 100

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answer: 25% increase

8 0
3 years ago
What is the equation of the following line written in slope intercept form? (-5,-1)
solmaris [256]

Answer:

\large\boxed{y=-\dfrac{2}{3}x-\dfrac{13}{3}}

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

m - slope

b - y-intercept

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

From the graph we have two points (-5, -1) and (-2, -3).

<em>Look at the picture</em>.

Calculate the slope:

m=\dfrac{-3-(-1)}{-2-(-5)}=\dfrac{-2}{3}=-\dfrac{2}{3}

Put it to the equation in slope-intercept form:

y=-\dfrac{2}{3}x+b

We can't read the y-intercept from the graph. Therefore put the coordinates of the point (-5, -1) to the equation and calculate <em>b</em>:

-1=-\dfrac{2}{3}(-5)+b

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-\dfrac{3}{3}-\dfrac{10}{3}=b\to b=-\dfrac{13}{3}

Finally:

y=-\dfrac{2}{3}x-\dfrac{13}{3}

4 0
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