Joe borrowed $4,000 from the bank at a rate of 7% simple interest per year. How much interest did he pay in 4 years?

Answer:

adjacent , linear pair ,

Step-by-step explanation:

and i don't think there is something else

Answer:

y = -3x + 12

Step-by-step explanation:

If two lines are parallel, their slopes are equal, then m = -3

x intercept is 4 then y = 0

y = mx + b

0 = -3(4) + b

b = 12

y = -3x + 12

THIS ANSWER WAS DELETED DUE TO NOT BEING TRUE.

The formula in terms of H is H = V ÷ πr². Value of height is 5.

We are given the formula -

V = πr²H, where V represents volume and H represents height. To rewrite the formula in terms of H, we will shift it to Left Hand Side -

H = V ÷ πr²

Keep the value of Volume and radius in formula to find the height.

H = 45π ÷ π(3)²

Taking square of 3 and cancelling π

H = 45 ÷ 9

Performing division to find the value of height

H = 5

Therefore, the formula is V ÷ πr² and value of height is 5.  

Learn more about volume -

https://brainly.com/question/463363

#SPJ9

The complete question is attached in figure.

Answer: 96

Step-by-step explanation:

Length = Area/Width

7584/79 = 96 feet

96 x 79 = 7584 ft²

Answer:

89.50 = 7.75 + 27.25p

subtract 7.75 from both sides

89.50 - 7.75 = 27.25p

81.75 = 27.25p

divide both sides by 27.25

p = 81.75 / 27.25

p = 3

Step-by-step explanation:

The number of people who can go to the amusement park is 3 people

Answer: p=3

Hence, the Linear Equation in two variables is used to determine the total number of people who go to the park is - y=7.75+27.25p

Step-by-step explanation:

89.50=7.75+27.25p

89.50-7.75+27.25p

81.75=27.25

81.75/27.25

p=3

The number sold at the original price is 27 and they sold 64 at the reduced price.

Let x = number of pieces sold at 13.50

Let y = number of pieces sold at 9.50

The equation will be:

x + y = 91. ..... i

13.50x + 9.50y = 972.50 ..... ii

From equation i x = 91 - y

13.50x + 9.50y = 972.50

13.50(91 - y) + 9.50y = 972.50

1228.50 - 13.50y + 9.50y = 972.50

1228.50 - 4y = 972.50

4y = 1228.50 - 972.50

4y = 256

y = 256/4

y = 64

Since x + y = 91

x = 91 - 64 = 27

Therefore, the number sold at the original price is 27 and they sold 64 at the reduced price.

Learn more about expressions on:

brainly.com/question/2972832

#SPJ1

The value of 'x' for the given expression is calculated as (x = 48).

A linear equation in one variable is an equation that has only one solution.

Now, for the given expression;

(3x-5) + (x+1) = 180

Open the brackets.

3x-5 + x+1 = 180

Add the similar parts;

4x - 4 = 180

Further simplifying;

4x = 180 + 4

4x = 184

x = 184/4

x = 48

Therefore, the value of 'x' is estimated as 48.

To know more about the linear equation in one variable, here

https://brainly.com/question/85774

#SPJ9

[tex]\implies[/tex]The answer is Adjacent and Complementary.

Answer: 164 degrees

Step-by-step explanation:

IHG=JHG+IHJ

19x-7=84+7x+17

19x-7=101+7x

12x-7=101

12x=108

x=9

IHG=19x-7

IHG=19(9)-7

IHG=171-7

IHG=164 degrees

Answer: 21

Step-by-step explanation:

Use a calculator

Answer:

-2

Step-by-step explanation:

You have to simplify numerator and denominator through factoring. The you should get an expression involving only a + b which is given as -2

Take numerator
[tex]a^2-b^2-12b-36[/tex]

Factor
[tex]-b^2-12b-36[/tex]

[tex]= - (b^2 + 12b + 36)\\\\= -(b+6)^2[/tex]

So numerator becomes
[tex]a^2-\left(b+6\right)^2[/tex]

Apply difference of squares formula: [tex]\displaystyle x^2-y^2=\left(x+y\right)\left(x-y\right)[/tex]

[tex]\mathrm{with\;} x^2 == > a^2, and y^2 == > (b + 6)^2[/tex]

[tex]\implies a^2-\left(b+6\right)^2 \\== \left(a+\left(b+6\right)\right)\left(a-b-6\right)[/tex]

Denominator
[tex]a^2-6a-b^2-6b[/tex]

can be factored as follows

[tex]a^2-b^2 = (a + b) (a -b)[/tex]
[tex]-6a-6b = -6\left(a+b\right)[/tex]

So denominator becomes
[tex]\left(a+b\right)\left(a-b\right)+-6\left(a+b\right)[/tex]

Factor out common term (a+b) to get
[tex]\left(a+b\right)\left(a-b-6\right)[/tex]

So the original expression with Numerator and denominator

[tex]\displaystyle =\frac{\left(a+b+6\right)\left(a-b-6\right)}{\left(a+b\right)\left(a-b-6\right)}[/tex]
Cancel the common factor (a-b-6) to get
[tex]\displaystyle \frac{a+b+6}{a+b}[/tex]

Since a + b = -2, plug in this value of (a+b) in both numerator and denominator to get
[tex]\displaystyle \dfrac{-2 + 6}{-2}[/tex]
[tex]\displaystyle = - 2[/tex]

Answer: -2

Answer:

To write this is true scientific notation the decimal point needs to be moved 1 place to the right so the exponent for the 10s term will be negative:

0.514=5.14×10

−1

Answer:5.14

Step-by-step explanation:

Answer:  It's not linear.

Step-by-step explanation: A linear function must have a degree of 0 or 1. This function equals to y= -1/x. -1/x has a degree of negative 1 since x^-1 =1/x. So this is not linear.

The mass, in grams, of 1 cubic centimeter of the sand in scientific notation is 7 x 10^(-1).

Scientific notation is a way of writing very large or very small numbers.

Now it is given that,

Average mass of grain = 7 x 10-4 gram

Number of grains in 1 cubic centimeter = 1,000 grains =  10^3 grains

Thus,

Mass of 1 cubic centimeter of the sand = Average mass of grain * Number of grains in 1 cubic centimeter

⇒ Mass of 1 cubic centimeter of the sand =  7 x 10-4 * 10^3 grams

⇒ Mass of 1 cubic centimeter of the sand =  7 x 10^(-4+ 3) grams

⇒ Mass of 1 cubic centimeter of the sand =  7 x 10^(-1) grams

Thus, the mass, in grams, of 1 cubic centimeter of the sand in scientific notation is 7 x 10^(-1).

To learn more about scientific notation :

brainly.com/question/22331466

#SPJ1

Answer:

A: [tex]b < \frac{3}{2}[/tex] and the second equation is: [tex]b > \frac{1}{3}[/tex]

B: [tex]x > \frac{1}{6}[/tex] and the second equation is: [tex]x < 2[/tex]

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

Hope this helps!

Have a great day and God bless! :)

The probability that if 3 donations are made, all 3 of them can be safely used on blood transfusion with someone that has type A will be D. (0.27 + 0.49)³ = 0.4390

It should be noted that probability simply means the chance that a particular event will occur.

In this case, the probability that if 3 donations are made, all 3 of them can be safely used on blood transfusion with someone that has type A will be:

= (27% + 49%)³

= (0.27 + 0.49)³

= 0.4390

The probability is 0.4390.

Learn more about probability on:

brainly.com/question/24756209

#SPJ1

The answers of the following part are:

a) 22

b) -76

c) -13

For solving this particular sum we need to know the about functions Function is generaaly defined as a set of inputs having one output each. every function as a domain and a co-domain or range. A function is generally denoted by f(x) where x is the variable and it is also the input.The general representation of function is y = f(x).

In the given sum we will just put the values in place of x and will find the answer

The given equation is f(x)=-13+7x

a) Here it is given f(5)  so we will put 5 in all places of x

Substituting the value x as 5 we will get :

f(5) = -13+7*5

= -13+35

=22

the value f(5) will be 22

b) In this part of the vaule of x is given as -9

Substituting the value of x as -9 we get

f(-9)=-13+7*(-9)

= -13-63

= -76

the valur of f(-9) is -76

c) here the value of x is given as 0

Substituting the value of x as 0

f(0)= -13+7*0

= -13+0

=-13

the value of f(0) is -13

Learn more about function here :

https://brainly.com/question/20337778

#SPJ9

Answer:

so xtime sy ,fe fwvnvf nfdv bregbrrsikrwnknrhvnk vnf vknvns;;abjwrjkgwnkgwjknnnxnfnfsvmsr

Answer:

What is the sum equal to?

Step-by-step explanation:

The correct value of m = 6 and b = -9.

The function f(x) is differentiable at x = 3 and we know that if a function is differentiable at some point means that it is continuous at that point also.

Here function is continuous at x = 3 piecewise

m(3) + b = (3)²

3m + b = 9 .....(1)

and function is differentiable at ( x = 3 ) piecewise

d/dx ( m * x + b ) = d/dx (x)² at ( x= 3 )

( m + 0 ) = 2x  at ( x = 3 )

m = 2 * 3

m = 6

By placing the value of m in equation (1)

3m + b = 9

3 * 6 + b = 9

18 + b = 9

b = 9 - 18

b = -9

Therefore, the value of m = 6 and b = -9.

Learn more about differentiable here:

https://brainly.com/question/24898810

#SPJ9

The distance between City C and City D is represented by 13.67 inches on a certain wall​ map.

The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.

Let x inches would be far apart are they on the same​ map

We can write this as a ratio as

As per the given information,

9 inches : 2700 miles = x inches : 4100 miles

⇒ 9/2700 = x/4100

⇒ x = (4100×9)/2700

⇒ x = 13.67 inches

Therefore, on a certain wall​ map, the distance between City C and City D is represented by 13.67 inches.

Learn more about the Ratio here:

brainly.com/question/1504221

#SPJ1

Answer:          410 possible points

To solve for the possible points in the course, use a proportion and cross multiply.

A proportion is two fractions that are equal to each other. For the fractions to be equal, they are proportionate. In our math problem, percentage is proportionate the the number of points.

The fractions represent information you have, and one variable will represent what you are solving for.

Your points = 361

Points to get an 'A' = your points + 8

'A' = 90% of possible points

Points to get an 'A' = your points + 8

= 361 + 8

= 369

let x be the amount of possible points

We know the number of points for 90% is 369 points. Remember that 90% is the same as 90/100.

Keep the information with the same units inside the same fraction. Here, percentage is represented by the first fraction. Points is represented by the second fraction.

[tex]\displaystyle{\frac{90}{100}=\frac{369}{x}}[/tex]

We can solve using cross multiplication. This is when we multiply each numerator by the denominator from the other fraction.

[tex]90x = 369*100[/tex]        Simplify by multiplying.

[tex]90x = 36,900[/tex]            Isolate the variable x.

[tex]\displaystyle{\frac{90x}{90} = \frac{36,900}{90}}[/tex]           Divide both sides by 90 to cancel out 90 on the left.

[tex]\displaystyle{x = \frac{36,900}{90}}[/tex]              Divide.

[tex]x = 410[/tex]                    Solved for x, representing the possible points.

∴ The possible points in the art course is 410.

Learn more about finding a missing number given percentage here: https://brainly.com/question/26535441

Answer:

410 possible points

Step-by-step explanation:

The given inequality  is never true which means it has no solutions. If an inequality has no actual solution, then there aren't any numbers that might be used to solve it and make the statement true. An inequality can be made true by substituting any real number into it if the solution to the inequality is all real numbers.

Given the expression is 4x ₋ 8 > 1 ₊ 4(x₊3)

first apply the distributive property.

4x ₋ 8 > 1 ₊ 4x ₊ 12

now combine the like terms.

4x ₋ 8 > 4x ₊ 13

Variables should be moved to the equation's left side.

4x ₋ 4x > 13 ₊ 8

combine like terms.

0 > 13 ₊ 8

calculate the sum.

0>21

This is the solution of inequality which has no solutions.

Hence the inequality of the expression is never true.

Learn more about Inequality Problems here:

brainly.com/question/24372553

The Actual area of the dining room is: 252 square feet.

Given that the area of the house on a blue print = 7 square inches.

Scale of the blue print = 1 inch : 6 feet.

Therefore, we would have the following proportion:

Area on blue print/actual area = square of the scale

7/actual area = 1²/6²

7/actual area = 1/36

Actual area = (7)(36)

Actual area = 252 square feet.

Learn more about actual area on:

https://brainly.com/question/27222024

#SPJ1

Answer: Actual area (252 square feet).

Explanation:

How to Find the Actual Area Using Scale?

Given that the area of the house on a blueprint = is 7 square inches.

The scale of the blueprint = is 1 inch: 6 feet.

Therefore, we would have the following proportion:

The area on the blueprint/actual area = square of the scale

7/actual area = 1²/6²

7/actual area = 1/36

Actual area = (7)(36)

Actual area = 252 square feet.