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The total cost of repayment over 5 years is $23,300.

A loan repayment refers to the act of paying back money previously borrowed from a lender.

To get total cost of repayment, we must principal amount, the interest rate and the duration of the loan.

The formula to get total cost of repayment is given by \(Total Cost of Repayment = Principal + Interest\)

Interest = Principal * Interest Rate * Time

Given:

Principal amount is $20,000

Interest rate is 3.3%

Duration is 5 years.

Interest = $20,000 * 0.033 * 5

Interest = $3,300

Total Cost of Repayment = Principal + Interest

= $20,000 + $3,300

= $23,300.

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The conclusion that red is the preferred color of shirt among 7th grade students based on a survey of 6 random students in an art class is not necessarily valid due to the small sample size, sampling bias, and lack of generalizability.

The sample size of six pupils is tiny and may not be typical of the overall seventh-grade population. It's probable that the six students in the art class have different preferences or biases than the other seventh-grade students.

Also, the sample of six pupils is drawn at random from an art class rather than from the total 7th grade population. Students who are interested in art may have different preferences than students who are not. This can add bias into the sample.

Finally, the language of the survey question is critical. If the survey question specifically asks about the most chosen color of shirt among 7th grade kids in general, the conclusion that red is the most preferred color of shirt follows.

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Answer:

A:40%

B:7.8

Step-by-step explanation:

Using a proportion , you can solve for the bottom side.

13/19.5 = 5.2/x

multiply 19.5 and 5.2 and rewrite the equation

101.4=13x

x=7.8

To find the scale, divide 5.2 by 13

5.2/13=0.4

Double check by dividing 7.8 by 19.5

7.8/19.5=0.4

0.4=40%

Answer:

X represents the value you can multiply with the slope to get the answer.

y = 0.007x

  = 0.007(6)

  = 0.042

Therefore, 0.042 inches of rain falls in 6 minutes.

Answer:

B, C, E

Step-by-step explanation:

A: False

B: True

C: True

D: False

E: True

Answer:

-9c-20

Step-by-step explanation:

Simplify the equation by adding/subtracting the like terms (c and numbers)

The expression 9c - 12- 15c - 8 - 3c is equivalent to -9c - 20.

An algebraic expression is consists of variables, numbers with various mathematical operations,

The given expression is,

9c - 12- 15c - 8 - 3c.

Solve the expression for terms c,

9c - 12 - 18c - 8

-9c - 12 -8

Further, solve for constant terms,

-9c - 20

The simplified form of the expression is -9c - 20.

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The circumference of circle M is 2cm, the correct option is (D) 2 cm.

If circle M is dilated by a scale factor of 3 to obtain circle N, we can determine the circumference of circle M by dividing the circumference of circle N by the scale factor.

The scale factor of 3 means that every linear dimension (such as radius or diameter) in circle N is three times larger than the corresponding dimension in circle M. Since the circumference is directly proportional to the radius or diameter of a circle, we can conclude that the circumference of circle N is three times the circumference of circle M.

Given that the circumference of circle N is 6 cm, we can divide this value by 3 to find the circumference of circle M:

Circumference of circle M = Circumference of circle N / Scale factor

Circumference of circle M = 6 cm / 3

Circumference of circle M = 2 cm

Therefore, the correct answer is:

D. 2 cm

The circumference of circle M is 2 cm.

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Answer:

x = 7

Step-by-step explanation:

(3x-1)/12 = 15/9

27x-9 = 15x12 = 180

27x = 189

x = 7

Answer:

13/8

Step-by-step explanation:

Answer:

The correct answer is C. The range of the function is [-3.2, 4].

Step-by-step explanation:

The range of a function is the set of all possible output values. In this case, the function is a nonlinear parabolic graph plane passing through the points (0, minus 1), (1.2, minus 3.2), (2.2, 0), (3, 4) and (3.5, 0). This means that the minimum output value is -3.2, and the maximum output value is 4. Therefore, the range of the function is [-3.2, 4].

==============================

Explanation:

For problem 1, we will plot a closed circle at x = -2 to include this value in the shaded solution set. We include it because of the "or equal to". The shading is to the right because of the "greater than". So we're describing all x values that are either equal to -2 or larger than -2. You could say "x is -2 or larger".

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In problem 2, we'll exclude the endpoint since we don't have "or equal to". We shade to the left to visually show all values smaller than 3.

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In problem 3, we follow the same idea as the last problem. We have an open hole to exclude the endpoint and shade to the right of 12 to describe all values larger than 12.

---------------------

With problem 4, we now include the endpoint again. This is similar to problem 1. We shade to the left to describe x values that are either -15 or smaller.

Answer:

First option: 6y^2sqrt(10) + 12sqrt(5y)

Step-by-step explanation:

3sqrt(10) * (2y^2 + 2sqrt(2y)

= 6y^2sqrt(10) + 6sqrt(20y)

= 6y^2sqrt(10) + 12sqrt(5y)

Answer:

  A.  60 ft·lb

Step-by-step explanation:

You want the work done lifting a 15-lb flower pot to a height of 4 ft.

Work is the product of force and distance. When the pot is raised 4 ft, the work done is ...

  W = F·d

  W = (15 lb)(4 ft) = 60 ft·lb

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24 feet is the lengths of the sides of the rectangular field .

What do you mean by rectangular?

Since the area is 2400, hence:

Area = length * width = x * y

2400 = xy

y = 2400/x

A Hence divide the field in half and is parallel to one of the sides of the rectangle. Hence:

Amount of fencing needed (P) = x + x + y + y  + y = 2x + 3y

Amount of fencing needed (P) = 2x + 3(2400/x) = 2x + 7200/x

To minimize the amount of fencing needed, dP/dx = 0, hence:

dP/dx = 2 - 7200/x²

2 - 7200/x² = 0

2 = 7200/x²

2x² = 7200

x² = 3600

x = 60 feet

y = 2400/x =  2400/60 = 24 feet

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A square piece of cardboard with side length of 34 inches is needed to make the box.

Let the side of the square piece of cardboard be x inches.

After cutting out 7 inch squares from each corner, the dimensions of the base of the box will be (x-14) inches by (x-14) inches, and the height of the box will be 7 inches.

The volume of the box can be expressed as:

V = (x-14\()^2\)\(\times\)7

We know that the box is to hold 2800 in3, so we can set up an equation:

(x-14\()^2\)\(\times\) 7 = 2800

Simplifying and solving for x, we get:

(x-14\()^2\) = 400

x-14 = ±20

x = 34 or x = 6

Since the cardboard cannot have a side length of less than 7+7=14 inches, the only valid solution is x=34 inches.

Therefore, a square piece of cardboard with side length of 34 inches is needed to make the box.

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Answer:

The wire is 67 decimeters long as a result.

You should be aware that 1 centimeter is equivalent to 0.1 decimeters, meaning that 10 centimeters make up one decimeter. To convert, divide the centimeter number by 10 or increase it by 0.1.

To convert meters to decimeters, we need to multiply the length by 10, since there are 10 decimeters in a meter. So:

6.7 meters * 10 decimeters/meter = 67 decimeters

Therefore, the cable is 67 decimeters long.

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Answer:

∠ B = 45°

Step-by-step explanation:

∠ A and ∠ Bare alternate exterior angles and are congruent , then

5x - 15 = 2x + 21 ( subtract 2x from both sides )

3x - 15 = 21 ( add 15 to both sides )

3x = 36 ( divide both sides by 3 )

x = 12

Then

∠ B = 2x + 21 = 2(12) + 21 = 24 + 21 = 45°

Answer:

the length of the other altitude of the given parallelogram will be 6 units and option B is the correct choice.

The length of the other altitude in the parallelogram will be B. 6 units.

The equation to find the altitude in the parallelogram will be:

Altitude 1 × Vertical base = Altitude 2 × Horizontal base

✓22.5 × ✓40 = Altitude 2 × 5

30 = Altitude 2 × 5

Altitude 2 = 30/5

Altitude = 6

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-1/2 is the answer hope it's correct

Answer:

point E

Step-by-step explanation:

Answer:

10.77

Step-by-step explanation:

(-5, 4) (5, 8)     Find the difference between the x terms: that is[( 5-(-5)]

                       Find the difference between the y terms: that is (8 - 4)

Substitute  into the distance formula

(\(\sqrt{[(5 - (-5)]^{2} + (8 - 4)^{2} } }\)

= \(\sqrt{10^{2} +4^{2} }\)

= \(\sqrt{100 + 16}\)

= \(\sqrt{116}\)

= 10.77

I dont know

i need help with that too

Answer:

12-2 Surface Areas of Prisms and Cylinders ... Round to the nearest tenth if necessary. ... We need to find the area of the triangle to determine ... The total surface area of the prism is the sum of the ... the mailer and its net. b. Suppose you want to minimize the surface area of the mailer. What would be the dimensions of the Step-by-step explanation:

Answer:

s = 53.3

Step-by-step explanation:

The square shows that the angle is 90 degrees, and is a shared angle. Therefore, the angles together make 90.

So, to get the unknown angle, you subtract the other angle by 90.

36.7 - 36.7 = 53.3

A function cannot send one input to more than one distinct output. You can think of this as passing the vertical line test – if you can draw a vertical line which passes through more than one point in a graph, it does not represent a function.

a. Not a function (there are several values of x that are sent to more than one value of y)

b. Not a function (-1 is sent to two different values of y)

c. Function (each value of x is sent to exactly one value of y)

d. Function (though 2 is listed as an input twice, the y-value is the same both times, so it is not sent to two different outputs)

e. Not a function (7 is sent to more than one different value)