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SIZIF [17.4K]
2 years ago
5

Mike has a loan of $36,320. This loan has a simple interest rate of 6% per year. What is the

Mathematics
1 answer:
Trava [24]2 years ago
4 0

Answer:

<h3> $2,179.2</h3>

Step-by-step explanation:

Given;

Loan = $36,320 (Principal)

Rate R = 6% = 0.06

Time T = 1year

Required

Interest that will be charged on this loan at the end of the first year

Using the formula for calculating simple interest as;

SI = PRT/100

SI = 36,320 * 6 * 1/100

SI = 0.06 * 36,320

SI = $2,179.2

Hence the amount of interest that will be charged on this loan at the end of the first year is  $2,179.2

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The residuals of the linear regression equation are -1.36, 0.32, 0.01, 0.62, 0.17, -0.24, 0.89, 0.09, 0.18 and -0.7

<h3>How to determine the residuals?</h3>

The regression equation is given as:

y = 0.141x + 0.842

Next, we calculate the predicted values (y) at the corresponding x values.

So, we have:

y = 0.141 * 13.8 + 0.842 = 2.78

y = 0.141 * 18 + 0.842 = 3.38

y = 0.141 * 16.7 + 0.842 = 3.20

y = 0.141 * 18 + 0.842 = 3.38

y = 0.141 * 0.7 + 0.842 = 0.94

y = 0.141 * 21.9 + 0.842 = 3.93

y = 0.141 * 15.5 + 0.842 = 3.03

y = 0.141 * 9.2 + 0.842 = 2.14

y = 0.141 * 19.5 + 0.842 = 3.59

y = 0.141 * 16.7 + 0.842 = 3.20

The residuals are then calculated using:

Residual = Actual value - Predicted value

So, we have:

Residual = 1.42 - 2.78 = -1.36

Residual = 3.7 - 3.38 = 0.32

Residual = 3.21 - 3.20 = 0.01

Residual = 4 - 3.38 = 0.62

Residual = 1.11 - 0.94 = 0.17

Residual = 3.69 - 3.93 = -0.24

Residual = 3.92 - 3.03 = 0.89

Residual = 2.23 - 2.14 = 0.09

Residual = 3.77 - 3.59 = 0.18

Residual = 2.5 - 3.20 = -0.7

Hence, the residuals of the linear regression equation are -1.36, 0.32, 0.01, 0.62, 0.17, -0.24, 0.89, 0.09, 0.18 and -0.7

Read more about residuals at:

brainly.com/question/16180255

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6 0
1 year ago
What is the standard form of the number shown in this calculator display?
kicyunya [14]

Answer:

5.93 × 10-5

Step-by-step explanation:

4 0
1 year ago
The cost of a type of educational toy is expressed as y = 3x + 2. Find the rate of change.
NNADVOKAT [17]

Answer:

3

Step-by-step explanation:

<em>Rate of Change </em>is the same as <em>Slope</em><em>.</em><em> </em>According to the Slope-Intercept Formula, <em>y</em><em> </em><em>=</em><em> </em><em>mx</em><em> </em><em>+</em><em> </em><em>b</em><em>,</em><em> </em><em>m</em><em> </em>is the <em>Rate</em><em> </em><em>of</em><em> </em><em> </em><em>Change</em><em> </em>[<em>Slope</em>].

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3 years ago
A solar fire starter is designed so that its cross-sections are in the shape of a parabola. Given that the diameter of the solar
Fofino [41]

Answer:

x=0.04m

Step-by-step explanation:

From the question we are told that:

Diameter d=24cm

Radius r=24/2=>12cm

Igniter distance d_g=9cm

Generally the equation for depth  is mathematically given by

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2 years ago
Find the area of a circle whose area equals the half of the sum of the areas of two circles with radil 2 and 3.
OlgaM077 [116]

Step-by-step explanation:

step 1. a circle with r = 2 has area of (pi)r^2 = (pi)(4) = 4pi

step 2. a circle with r = 3 has area of (pi)r^2 = (pi)(9) = 9pi

step 3. the area, A, of a circle is half the sum of the area of the circles with r = 2 and r = 3

step 4. A = (4pi + 9pi)/2 = 13pi/2 = 6.5(pi).

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