What principal will amount to $3000 if invested at 3% interest compounded
semiannually for 10 years?


Please show the work of the problem

Answer:

37

Step-by-step explanation:

First, we need to find the sum of all the numbers of the dice. The expression 3(1 + 2 + 3 + 4 + 5 + 6), or 3(21) does that for us. 3 × 21 = 63. So the sum of all of the numbers of the dice is 63. But we already know 7 of the numbers there: 2, 3, 1, 6, 5, 4, 5. In the expression 3(21), we counted these numbers as well. So now we can add these 7 numbers together then subtract them from 3(21), or 63. We can write the expression 3(21) - (2 + 3 + 1 + 6 + 5 + 4 + 5), or 3(21) - 26 = 63 - 26 = 37.

The required sum of the numbers on all the faces that are not visible is 37.

Given that,

Three dice, each with faces numbered 1 through 6, are arranged as shown. Seven faces are visible.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
According to the question,
Sum of not visible number = 3[1 + 2 + 3 + 4 + 5 + 6] - [sum of visble number]
                                              = 63 - 25 = 37

Thus, the required sum of the numbers on all the faces that are not visible is 37.

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Answer:

For A: The first function has a greater ROC

For B: The first function has a negative slope

Step-by-step explanation:

Explication for A:

We already know that the R.O.C. (slope) is 2 for the first function, so all we need to do is substitute the values in the table into the following formula: y2-y1/x2-x1

after substituting: (-3-(-6))/(0-(-1))

simplify 3/1=3, since the ROC is 3, the second equation has a greater ROC than the first

Explanation for B:

The first function described is f(x)=20-3.5x

This is because the y intercept is the starting point, or how much money she has in the gift card. She spends 3.5 dollars per week, so we add a variable to represent the number of weeks, and its negative since she is spending, not earning. We also know that the slope is negative since y is decreasing as x is increasing, on the table.

The second function described is c(m)=5x+10

This is because the equation represents the total cost of renting a calculator, so both terms are positive.

Answer:

the answers would be B and D

Answer:

\(y - 100 = \boxed{\:-\dfrac{25}{2} \:} \;\;\left(x -\boxed{\:4\:}\:\right)\)

Step-by-step explanation:

The first thing to observe is that the balance declines at a linear rate with respect to time in weeks

The given equation which you have to fill in is in the point-slope form of a straight line

The point slope equation of a straight line is
y - y1 = m(x - x1)

where (x1, y1) is a point on the line
m is the slope = (x2 - x1)/(y2 - y1) with (x1, y1) and (x2, y2) being two points on the line

To find the slope,

Let's take two points say 4, 100) and (8,50) where the first entry is the weeks and second is the current balance

Slope m = (50 - 100)/(8 - 4) = - 50/4 = -25/2

The negative value simply indicates that the balance is declining by 25/2 every two weeks

Having got the slope we can rewrite the equation as

y - y1 = -25/2(x - x1)

Again take (x1, y1) as (4, 100) to get

\(y - 100 = \boxed{-\dfrac{25}{2}} (x -\boxed{ 4})\)

And this is the answer

The correct answer is (D) -2x - 8.

To simplify the expression -1/3 ( 6x + 15 ) - 3, we can first apply the distributive property to the term in parentheses:

-1/3 ( 6x + 15 ) - 3 = -1/3 * 6x - 1/3 * 15 - 3

Then we can simplify using the properties of multiplication and division:

-1/3 * 6x - 1/3 * 15 - 3 = -2x - 5 - 3

Finally, we can combine like terms:

-2x - 5 - 3 = -2x - 8

The correct answer is therefore (D) -2x - 8.✅

Answer:

The correct answers are in the picture I put. I hope these help!

Step-by-step explanation:

When calculating positive and negative rational numbers keep these rules in mind-

Answer:

Question 1 -

The angles in a triangle always add up to 180 degrees.

Triangle 1 (the very left) -

Equation: 180 - (35 + 50) = x

x = 95

Triangle 2 (the middle) -

Equation: 180 - (60 + 90) = x

x = 30

Triangle 3 (the very right) -

Equation: 180 - (137 + 28) = x

x = 15

Step-by-step explanation:

All angles of a triangle add up to 180 degrees.

To write an equation to find the missing angle of a triangle given two angles, you have to first add together the two angles. In an equation, you have to write these added together in parenthesis to show that you need to add those together first. Then, at the beginning of the equation, you write "180 -" to show that you need to subtract the sum of the 2 angles from 180.

Hope it helps!

Answer:

88

Step-by-step explanation:

87+93+86+90+84=440

440÷5=88

Have a good day ^^

Answer:

?

Step-by-step explanation:

(answer needs to be at least 20 words long)

Hope this helps

Answer :

Percentage increase = (279 - 180)/180 x 100% = 55%

Answer:

\(\text{a})\) \(50\)

\(\text{b})\) \(110\)

Step-by-step explanation:

\(\text{a})\) If \(1\) potato is enough for \(2\) people, than \(\dfrac{100}{2}\) or \(50\) potatos are enough for \(100\) people.

\(\text{b})\) \(55\cdot2=110\)

Answer:

y = -2x

Step-by-step explanation:

Given

Solving

Rewriting the equation

New equation

⇒ y = mx + b [m = slope, b = y-intercept]

⇒ y = -2x + 0

⇒ y = -2x

Answer:

2x+y=0

Step-by-step explanation:

Given:

\(\displaystyle \large{2x+y=4}\\\displaystyle \large{y=-2x+4}\)

To find:

Parallel Definition:

Slope-Intercept:

\(\displaystyle \large{y=mx+b}\)

Therefore, another line is:

\(\displaystyle \large{y=-2x+b}\)

Since the line passes through origin point which is (0,0). Substitute x = 0 and y = 0 in the equation:

\(\displaystyle \large{0=-2(0)+b}\\\displaystyle \large{b=0}\)

Therefore, the equation is:

\(\displaystyle \large{y=-2x}\)

Convert back to standards form:

\(\displaystyle \large{2x+y=0}\)

Therefore, another line that is parallel to \(\displaystyle \large{2x+y=4}\) is 2x+y=0

Answer:

1.3

2.-1

3.1

4.25

5.17

Step-by-step explanation:

maybe i messed up but pretty sure this is it

Answer:

x = 60°

Step-by-step explanation:

A straight angle is bascially a line with a point marked in it. That is 180°. Supplementary angles add up to 180°. Like the two right angles on the top part of the image are supplementary, as well as the two angles on the bottom part of the image.

120° + x = 180°

x = 60°

Answer:

400/ 81

Step-by-step explanation:

16/25 × (5/3)^4

16/25 × (625/ 81)

10000/ 2025

400/81

Answer:

I know its late but I figured I can help anyone else out. I took the exam C is the correct answer :D

Step-by-step explanation:

Answer:

in: 0

Out: -19, -16, and -9

Step-by-step explanation:

-6 - 13 = -19

-3 - 13 = -16

-13 + 13 = 0

4 - 13 = -9

Answer:

A

Step-by-step explanation:

It shows 120 for both the sides of the angle, which makes it parallel.

B is wrong because they don't have the same angle measure.

C is wrong because they don't have the same angle measure.

D is also wrong, because it shows both the measures of angle A, and you don't know what angle B is.

Hope this helps!

Please put me as Brainliest.... if you want

Answer:

y=5x

Step-by-step explanation:

you need to type 5 in the blank space

Answer:

2560

Step-by-step explanation:

Answer:

2,560

Step-by-step explanation:

To find the total, we need to use the number of options for all 4 of the categories. Once we have those number, we just need to multiply them to find the total number of possibilities. This is called the Fundamental Counting Principle.

8 x 8 x 8 x 5 = 2560

Hope this helps!! ;)

Answer:

1/9

Step-by-step explanation:

First spin is counted as 1/3 (greater than 4) then the second multiplies 1/3 by 1/3 since there's a second spin. You don't reset the odds, they add on.

I'm pretty sure its 1/9

Answer

i found it on the internet

Answer:

The required height of the lighthouse is given as 160 ft tall.

Given that,

A scale model of a lighthouse has a scale of 1 in. : 8 ft. The scale model is 20 inches tall.

What is the scale factor?

The scale factor is defined as the ratio of the modified change in length to the original length.

What is the Ratio?

The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.

here,

scale factor = 1 / 8 in per ft

Now,

The actual length of the lighthouse =  20 / [1 / 8]

                                                            = 20 × 8 = 160 ft

Thus, the required height of the lighthouse is given as 160 ft tall.

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Step-by-step explanation:

Answer:

We start with 4 cards. The probability of picking the 4 is 1/4. That card is put back, so we again have 4 cards. The probability of picking the 6 (the number greater than 5) is 1/4.

Therefore, the probability of picking a 4 and then a 6 is (1/4)(1/4) = 1/16.

Answer:

1/16

Step-by-step explanation:

Answer:

544in sq.

Step-by-step explanation:

Bigger Rectangle:

[SA]=2(lw+wh+lh)

2(8•11+6•+11•6)

2(88+48+66)

2(202)

[SA]=404

Smaller Rectangle:

[SA]=2(lw+wh+lh)

2(11•3+3•3+3•11)

2(33+9+33)

2(72)

[SA]150

Add both sums together

404+150=554

Answer:

SA = 554 inches squared

Step-by-step explanation:

Blue rectangular prism:  

3 x 3 = 9

3 x 11 = 33

9 + 9 + 33 + 33 + 33 + 33 = 150

Orange rectangular prism:

6 x 8 = 48

6 x 11 = 66

8 x 11 = 88

48 + 48 + 66 + 66 + 88 + 88 = 404

Surface Area:

150 + 404 = 554