Ann Dyslecki is buying a sports car. She financed $ 5590 at her
bank and agreed to repay it in four years. Her monthly payment
was $ 149,60. Find the total amount to be repaid and the finance
charge.

Answer:

y = mx + c

8 = 2x + 2

Answer:11.17

Step-by-step explanation:

pi x D x angle /360

pi x 8x2x80/360

=11.170

In a two-tailed test, the null hypothesis should be rejected in favor of the alternative hypothesis if the p-value is smaller than a. Therefore option (b) is the right answer.

A common statistical theory called the null hypothesis asserts that there is no statistical relationship or significance between two sets of observed data and measured events for a given single observed variable.

A p-value less than 0.05 (usually 0.05) is considered statistically significant when using the P-value technique to conduct any hypothesis test. With less than a 5% chance that the null is true, it provides strong evidence against the null hypothesis (and the results are random). The alternative hypothesis is thereby accepted, whereas the null hypothesis is rejected.

To learn more about null hypothesis visit the below link,

https://brainly.com/question/25263462

#SPJ4

Changing the order of the factors does not change the product, according to the commutative property of multiplication.

Changing the order of the factors does not change the product, according to the commutative property of multiplication. Here's an illustration: 4 × 3 = 3 × 4 4 x 3 = 3 x 4, or 4 x 3 = 3 x 4.

The distributive property of binary operations in mathematics generalizes the distributive law, which states that in elementary algebra, equality is always true. For instance, in basic mathematics, one has to According to one, addition is distributed more evenly than multiplication.

To know more about cumulative property follow

https://brainly.com/question/28413173

#SPJ1

The point is NOT to fix the system. There was just one equation that produced an identity. The right answer option 3

An equation is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

X = 6 and Y = -8 are the points in BEN'S WORK SHOWN's 2x + y = 4 equation, and after solving it, we have the verification.

However, for x + 3y = -20, the points x = 6 and y = -8 are not solved, and since points here only fulfill one equation,

The point is NOT a solution to the system. Only one of the equations resulted in an identity.

if both the solution would have been then we can say that point is a solution to the system. but this is not true as one equation is not satisfy

The point is NOT a solution to the system. Both equations resulted in identities. this is also not true as one is identities not both.

The point IS a solution to the system. Both equations resulted in identities. this is also not true as both are not identities as only one is identities.

Thus option 3 is correct

The point is NOT a solution to the system. Only one of the equations resulted in an identity.

To know more about equation click:

brainly.com/question/649785

#SPJ1

The number of Suzanne jars that have 9 beads is 9.

Suzanne has 12 jars of beads. some of her jars have 15 beads, and the others have 9 beads. she has 126 beads in all.

The number of jars that have 9 beads can be calculated as follows:

let

the number of jars that have 15 beads = x

the number of jars that have 9 beads = y

Hence,

x + y = 12

15x + 9y = 126

multiply equation(i) by 15

15x + 15y = 180

15x + 9y = 126

subtract equation(i) from equation(ii)

6y = 54

divide both sides by 6

y = 54 / 6

y = 9

Therefore,

jars with 9 beads = 9

learn more on equation here: https://brainly.com/question/13192273

#SPJ1

At an interest rate of 0.2% per year, $15500 will be reached from $15000 in 16.67 years.

In essence, percentages are fractions with a 100 as the denominator. We place the percent symbol (%) next to the number to indicate that the number is a percentage. For instance, you would have received a 75% grade if you answered 75 out of 100 questions correctly on a test (75/100). A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100.

Here,

Principal=15000

Rate of interest=0.2%

Interest amount per year=15000*0.2%

=$30

Let n be the number of years,

15500=15000+30n

500=30n

n=50/3

n=16.67 years

It will take 16.67 years to reach the amount of $15500 from $15000 at the interest rate of 0.2% per year.

To know more about percent,

https://brainly.com/question/14661262

#SPJ4

I flip a coin 300 times.

So the possibility of head :

The formula for probability is

Probability=

\frac{number of total events}{number of favorable events}

From the given data in the question,

The coin is tossed total 300 times,

We got head 35 times in 300 times,

So the probability of getting a head is =

[tex] \frac{300}{35} [/tex]

Same do as Tails

The value of the angle m∠BDC is 105°.

Let separate the triangles and find missing angle in triangle with given angles.

CAD = 45°

CDA = 30°

Then, CAD+CDA+ACD = 180°

45°+30°+ACD=180°

ACD=180°-75°

       =105°

by applying third angle theorem,

∠CAD=∠DBC=45°

∠ADC=∠BCD=30°

Then, ∠DBC+∠BCD+∠BDC=180°

45°+30°+BCD=180°

BCD=180°-75°

      =105°

Hence, The value of the angle m∠BDC is 105°.

To learn more about third angle theorem refer to:

https://brainly.com/question/15890654

#SPJ1

The total number of boxes of inventory which is loading on the truck by the workers are 1,200 boxes.

What is percentage of a number?

Percentage of a number is the part of the number expressed in the in every hundred. Percentage of a number is expressed with the symbol '%'.

Workers are loading boxes onto a truck . So far, they have loaded 48 boxes onto the truck.

According to their inventory, they still need to load 96% of boxes on the truck. There must be 100% box at the start of the loading. Thus, the percentage of boxes they have load,

p=100-96 = 4%

Thus the percentage of boxes they have load in the truck is 4%. This is equal to the 48 boxes they have loaded.

Let suppose there is x number of total boxes. Thus the 4 percent of x will  be equal to the 48.

(4/100)x=48

x = 4800/4  = 1200

Thus, the total number of boxes of inventory which is loading on the truck by the workers are 1,200 boxes.

To learn more about the percentage here;

brainly.com/question/24304697

#SPJ1

Answer:70 i think srry if its wrong

Step-by-step explanation:

Answer:

At least 16 cm

Step-by-step explanation:

315cm/15 = 16cm

Answer:

10

Step-by-step explanation:

look at where the 2 lines meet and then look at the minutes

well, similarity on circles is a phony business

in essence, all circles are similar by definition, I mean, hell they're all circular, what's so unsimilar about that?

however, the silly proof asks to translate it about and then dilate it to be superimposed on the other.

to measure exactly 4 quarts well first fill the 3 quart pail 2 times and pour it into the 5 quart pail and remaining answer is below.

1 US liquid quart is the same as 2 pints, 4 cups, and 32 ounces in terms of volume. It's vital to remember that a dry quart equals 4.6546 cups when converting any dry component.

A liter contains 1.057 quarts, and a quart contains 0.946 liters. This is what? Because the measurements are so similar, you can treat liters and quarts the same for many conversions.

As we an infinite supply of water and a 5 quart and 3 quart pail, and we have to measure exactly 4 quarts

so, first we'll first fill the 3 quart pail and pour it into the pail of 5 quart.

now we'll again fill the 3 quart pail and pour it into the pail of 5 quart

this time the 5 quart pail will be filled before the 3 quart pail get completely empty.

at this time; 3 quart pail is containing the 1 quart in it. now pouring into the 3 quart pail and combining with the 3 quart, it will make 4 quarts after pouring into the 5 quart pail.

To learn more about quart visits:

https://brainly.com/question/13798723

#SPJ4

Answer: look at explanation

Step-by-step explanation:

1. Since those are congruent you equal them to eachother: 6x-8=4x+2

2. Then you solve (steps are shown below)

a) 6x-8=4x+2

b) 2x-8=2

c) 2x=10

d) x=5

3. Answer should be x=5

hope this helps!

Answer:

1 – cos²x = Sin²x

Step-by-step explanation:

Sinx + 1 = cos x

by squaring both sides

(Sinx + 1)² = (cos x )²

Sin²x + 1 = cos²x

1 – cos²x = Sin²x

i hope this helped

Answer:

Step-by-step explanation:

Rewrite equations: x+y=6;2x−3y=4

Solve x+y=6 for x: x+y+−y=6+−y (Add -y to both sides)

x=−y+6

Substitute −y+6 for x in2x−3y=4: 2x−3y=4

2(−y+6)−3y=4

−5y+12=4 (Simplify both sides of the equation)

−5y+12+−12=4+−12 (Add -12 to both sides)

−5y=−8

−5y/−5=−8/−5 (Divide both sides by -5)

y=8/5

Substitute 8/5 for y in x=−y+6:

x=−y+6

x=−8/5 +6

x=22/5 (Simplify both sides of the equation)

Answer: x=22/5 and y=8/5

Answer: 4.46cm

Step-by-step explanation:

Use [SOH CAH TOA]

We have two sides that are labeled. Use 85cm and x.

Using the angle 63 degrees would mean you are using SOH.

SOH = Opposite/Hypotenuse.

If the above is true, then: Sin63 = x/85

Since we don't know what x is, you want to move 85 to the other side.

85(Sin63) = x

Now, you can find x. Multiply 85 and Sin63. Your answer should be 4.46 (if rounded to 2 decimals).

Answer:

36 cm.

Step-by-step explanation:

In the question, we have been given ,

Area of the rectangle=504cm2

The width of the rectangle=14cm

The length of the rectangle=?

The formula for the area of the area of the rectangle is L×B. Thus A=L×B(W).

So 504cm2= L×14.

Now divide both sides by 14

504cm2/14=14L/14

Therefore L= 36cm

The possible elevation of Salton city will be;

⇒ x < - 2 feet

Where, x is the elevation of Salton city.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

New Orleans is 2 feet below sea level.

And, Salton City has an elevation that is lower than New Orleans.

Now,

New Orleans is 2 feet below sea level.

And, Salton City has an elevation that is lower than New Orleans.

Let the elevation of Salton city = x feet

Thus, We get;

The possible elevation of Salton city will be;

⇒ x < - 2 feet

Where, x is the elevation of Salton city.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ1

Answer:

the equation that explains the relationship between BC and B"C" is:

BC = 2 * B"C"

This equation states that the length of BC is equal to twice the length of B"C".

Step-by-step explanation:

If triangle A"B"C" is formed using the translation (x+1,y+1) and the dilation by a scale factor of 3 from the origin, then the coordinates of the vertices of triangle A"B"C" can be expressed as follows:

A" (x+1, y+1)

B" (3x+3, 3y+3)

C" (3x+6, 3y+6)

To find the equation that explains the relationship between BC and B"C", we can use the distance formula to find the length of both segments. The distance formula is:

distance = √((x2 - x1)^2 + (y2 - y1)^2)

Where (x1, y1) and (x2, y2) are the coordinates of the two points.

Using the distance formula, we can find the length of BC as follows:

BC = √((3x - x)^2 + (3y - y)^2)

= √((2x)^2 + (2y)^2)

= √(4x^2 + 4y^2)

= 2√(x^2 + y^2)

We can also find the length of B"C" as follows:

B"C" = √((3x+6 - 3x-3)^2 + (3y+6 - 3y-3)^2)

= √((3)^2 + (3)^2)

= √(9 + 9)

= √(18)

= 3√(2)

Answer:

Train A = 259

Train B = 42

Step-by-step explanation:

Answer:

Train A's weight is 259 tons

Train B's weight is 42 tons

Step-by-step explanation:

Let x represent train A's weight, and y represent train B's weight.

Since they both weigh 301 tons

The equation is: x+y = 301

The difference in their weight is 210, and train A is heavier

So equation is: x - y = 217

x+ y =301

x- y = 217

2x = 518

x = 259 tons

Now find train B

301 - 259 = 42 tons

Answer:

A. 6 to the power of one sixth

Step-by-step explanation:

To find the square root of the cube root of 6, you need to first find the cube root of 6, which is equal to 2. Then, you need to take the square root of 2, which is equal to 1.4142135623730951. Therefore, the square root of the cube root of 6 is equal to 1.4142135623730951.

To express this value using exponents, you can use the property that the square root of x is equal to x to the power of one half. Therefore, the square root of the cube root of 6 is equal to 6 to the power of one half of one third, which simplifies to 6 to the power of one sixth.

Step-by-step explanation:

At the DeBartolo Building, 3 out of every 7 employees use public transportation. There are 9,800 employees at the building. How many employees do not use public transportation? Type in the number only.

3 out of every 7 employees use public transportation so 4 out of every 7 employees do NOT use public transportation.

9,800 / 7 = 1,400

1,400 * 4 = 5,600

When there were 375 men and 475 women, the simple ratio of men to women clients was 15/19.

An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. For instance, you could express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls) There are 1 in 4 boys and 3 in 4 girls.
Here,

Total customers=850

Total number of men=375

Total number of women,

=850-375

=475

The ratio of men to women customers,

=375/475

Divide both terms by the GCF 25,

375 ÷ 25 = 15

475 ÷ 25 = 19

=15/19

The ratio of men to women customers in its simplest form is 15/19 when there were 375 men and 475 women.

To know more about ratio,

https://brainly.com/question/29467965

#SPJ4

You would add 5x + 2x = 7x

Substitute 5 for x and that = 5(5)= 35 +2(5)= 10= 45

and do it for  7(5)= 35-1 = 34 too

You can't make them equal

Following the pattern in (5)(3)+(2)(3) = (5+2)(3), we could do the same thing with 5x+2x = (5+2)x.  We're basically un-distributing the common factor from each term.

And now with (5+2)x, we can add the 5 and 2 to get 7x.

If we substitute different values into 5x+2x, it works out to add up to 7 times that same substituted value. For example:

    (5)(9)+(2)(9)=45+18=63

    (7)(9)=63

If we substitute 9 into 7x-1, then we end up with 63-1 = 62.

In fact, any number we put into 5x+2x will always be one more than 7x-1.  So, no, there doesn't seem to be any value of x that would make these equal.  Since 5x+2x=7x, then 7x-1 will always be one less than 7x.

Answer: 18x-12

Step-by-step explanation:

Add 10x +8x (because they both have x at the end so its fine to add them

then do -5-7= -12