What are the interest cost and the total amount due on a six-month loan of $1,800 at 14.4 percent simple annual interest

Step-by-step explanation:

We can find x very easily because the left and right sides are parallel,making the diagonal connecting them a transversal therefore x=33°

To find y we know that the sum of interior angles of a triangle is 180°

y+109°+33°=180°

y+142°=180°

y=38°

Now,

x+38°+z=180

33+38+z=180

z=180-71=109°

Answer: 3

Step-by-step explanation: Hope I helped

Answer:

For figure 1:

Area of rectangle = 7x + 21

For figure 2:

Area of rectangle = [tex]\mathbf{p^2-9p }[/tex]

Step-by-step explanation:

We need to find area of rectangle

The formula used is: [tex]Area\:of\:rectangle=Length\times Width[/tex]

For figure 1:

Length = 7

Width = x+3

Putting values in formula and finding area of rectangle

[tex]Area\:of\:rectangle=Length\times Width\\Area\:of\:rectangle=7\times (x+3)\\Now,\: multiply\:7\:with\:terms\;inside\:the\:bracket\\Area\:of\:rectangle=7(x)+7(3)\\Area\:of\:rectangle=7x+21\\[/tex]

So, area of rectangle = 7x + 21

For figure 2:

Length = p

Width = p-9

Putting values in formula and finding area of rectangle

[tex]Area\:of\:rectangle=Length\times Width\\Area\:of\:rectangle=p\times (p-9)\\Now,\: multiply\:p\:with\:terms\;inside\:the\:bracket\\Area\:of\:rectangle=p(p)-p(9)\\Area\:of\:rectangle=p^2-9p\\[/tex]

So, area of rectangle = [tex]\mathbf{p^2-9p }[/tex]

Answer:

A. Store A will cost about $1.28 less

Step-by-step explanation:

Store A:

Unit rate = y/x

Using any given pair, say (3, 7.26),

Unit rate = 7.26/3 = $2.42 per gallon

So, of a customer is buying 16 gallons at Store A, he'd pay:

$2.42 * 16 = $38.72

Store B:

Unit rate = y/x

Using any point on the graph, say (20, 50),

Unit rate = 50/20 = $2.5 per gallon

So, of a customer is buying 16 gallons at Store B, he'd pay:

$2.5 * 16 = $40.

Cost of Store B - Cost of Store A = $40 - $38.72 = 1.28

This means that Store A cost about $1.28 less

Answer:

i think the answer is C, (-1 + 21) (i + 5i)

Step-by-step explanation:

i just took the test and got a 92% but it didnt tell me which ones were wrong. thats my best guess though. i hope it helps!

The expression demonstrates the use of the commutative property of addition in the first step of simplifying the expression as, (-1 + 21)+(i + 5i). Option C is correct.

It is defined as the combination of constants and variables with mathematical operators.

It is given that the expression is, (–1 + i) + (21 + 5i)

We have to find the expression that demonstrates the use of the commutative property of addition

According to the commutative property of addition, altering the order of addends has no impact on the sum.

Commutative law refers to either of two rules pertaining to the addition and multiplication of numbers that are expressed symbolically as a + b = b + a and ab = ba. These principles imply that rearranging the terms or factors of any finite sum or product has no effect on it.

Thus, the expression demonstrates the use of the commutative property of addition in the first step of simplifying the expression as, (-1 + 21)+(i + 5i). Option C is correct.

Learn more about the expression here:

brainly.com/question/14083225

#SPJ6

Answer:

(1) The required ratio of spirit to varnish is 1:3.

(2) You need 80 ml of mineral spirit.

(3) The ratio of tapestries' heights to width is 3:2.

Step-by-step explanation:

(1) If you need to mix 25% mineral spirit to the varnish, then the solution would contain 25% mineral spirit and 75% varnish.

So, [tex]\frac{spirit}{varnish}=\frac{25}{75}[/tex]

                  [tex]=\frac{1}{3}[/tex]

Thus, The required ratio of spirit to varnish is 1:3.

(2) If you use 240ml of varnish, then this quantity is 75% of the total solution or ration of varnish to the total solution will be 3:4.

Let [tex]x[/tex] be the quantity of total solution.

Then, [tex]240:x=3:4[/tex].

⇒[tex]\frac{240}{x}=\frac{3}{4}[/tex]

⇒[tex]3x=240*4[/tex]

⇒[tex]x=\frac{240*4}{3}[/tex]

⇒[tex]x=320[/tex]

That is, total solution is 320 ml.

Now, Spirit = Total solution - Varnish

⇒Spirit = 320ml-240ml

⇒Spirit = 80ml

Hence, if you use 240 ml of varnish, you need 80 ml of mineral spirit.

(3) Robison's tapestries all measure 1.5m long and 1m wide. First, we express dimensions in whole numbers by multiplying them by 10.

Then, dimensions are 15m long and 10m wide.

Now, Height : Width = 15:10

⇒[tex]\frac{Height}{Width} =\frac{15}{10}[/tex]

⇒[tex]\frac{Height}{Width} =\frac{3}{2}[/tex]

Hence, the ratio of tapestries' heights to width is 3:2.

Answer:

In 25 years, Tina will have $354,452.86

Step-by-step explanation:

Monthly Contribution - $366.69 (Tina & Employer)

Length of Time in Years - 25

Estimated Interest Rate - 8.1%

Compound Frequency - Monthly

Answer:

2

Step-by-step explanation:

4/2=2

Answer:

18 minutes is the answer

Step-by-step explanation:

•Time couple rested in 2 hrs = 12 min

•Time couple rested in 1 hr = 12/ 2 min = 6min

•Time couple rested in 3 hrs = 6×3 min = 18 min

HOPE IT HELPS YOU

MARK ME AS BRAINIEST

AND YOU CSN THANK ME IN THE COMMENT

Answer:

its a heartbeat.

Step-by-step explanation:

sorry for late answer, just answering for any future people.

Answer:

Tyree and all of his friends get 1 ticket for $7. Next they all get 1 snack for $5. Then they all get a drink for $2. So:

1=7

1=5

1=2

Then you take each person (which there are five of then) and you times all five people by 7, 5, 2.

5 x 7=35

5 x 5=25

5 x 2=10

After that you add it all together:

35 plus 25=60

60 plus 10=70

Step-by-step explanation:

your welcome

Answer:

Im not sure if it ment, Tyree and four friends go to the movies. Each person buys a movie ticket for $7, a snack for $5 (meaning only one snack), and a drink for $2. (Meaning only one drink) or if it ment Tyree and four friends go to the movies. Each person buys a movie ticket for $7, a snack for $5 (meaning everyone got a snack), and a drink for $2(meaning everyone got a drink). So i did the math for both of them, if they only got 5 tickets, one snack, and one drink, it would be 42 (the math problem is 35 + 2 + 5). if they got 5 tickets, 5 snacks, and 5 drinks, it would be 70(the math problem is 35 + 25 + 10). Hope this helps!

Answer:

I think the answer is B. The equation has infinitely many solutions.

Step-by-step explanation:

4(3x + 4) = 15x + 12 - 3x + 4

*group like terms so 4(3x+4) = 15x - 3x + 12 + 4

*add similar elements 15x - 3x = 12x

*add the numbers 12 + 4 = 16

*Expand to 12x + 16 - 16 = 12x + 16 - 16

*You simplify 12x = 12x

*Subtract 12x from both sides

*Then Simplify which is 0

Which means Both sides are equal to 0

True for all X

Just off the bat 17$is 12 rides and then 17.25 +0.75 is 18 so 13 rides

Answer: The GCF is 2 and the LCF is 1

Step-by-step explanation:

Answer:

70 mins

Step-by-step explanation:

Lets first convert the 4.5 hours to minutes. We know that there's 60 mins in an hour, so we can just multiply 4.5 by 60 to get 270 minutes. Now we know the total time spent at the mall.

Then, we can add the times given in the question.

130 mins + 70 mins + walking mins = 270 mins

To solve, simply collect like terms:

200 mins + walking mins = 270 mins

walking mins = 270 mins - 200 mins

walking mins = 70 mins

Answer:

only one solution

Step-by-step explanation:

Complete question:

Determine whether the system of linear equations has one and only one solution, infinitely many solutions, or no solution. 2x − y = 2 3x + y = −6 one and only one solution infinitely many solutions no solution Find the solution, if one exists. (If there are infinitely many solutions, express x and y in terms of the parameter t. If there is no solution, enter NO SOLUTION.) (x, y) =

Given the expression

2x − y = 2 .... 1

3x + y = −6  ..... 2

We are to determine the number of solution the equation has:

Add equation 1 and 2

2x + 3x = 2 - 6

5x = -4

x = -4/5

Substitute x = -4/5 into 1

From 1: 2x − y = 2 .... 1

2(-4/5) - y = 2

-8/5 - y = -2

-y = -2+8/5

-y = -10+8/5

-y = -2/5

y = 2/5

Since the value of x and y are just 1 hence the system of equations has ine solution

Answer:

8

Step-by-step explanation:

Answer:

8 people are chewing gum

Step-by-step explanation:

32/8=4, meaning there are 4 sets of 8 students.

If 2 students are chewing gum for every 8, and there are 32 students, that would mean that multiplying 4 by 2 to get 8 total kids chewing gum.

You could also say that 6*4=24, and 32-24=8 if you want to double check.

Hope this helps :)

Answer:

40

3

9

70

6

7

10

2

42

8

Step-by-step explanation:

let's hope i didn't read naything wrong

Answer:

Since the calculated value of t = -0.215  falls in the critical region so we accept Ha that SAT prep course improves the students' verbal SAT scores and reject the null hypothesis at significance level 0.05.

e. These results support the claim that the SAT prep course improves the students' verbal SAT scores.

Step-by-step explanation:

Student                        1      2      3       4      5         6          7

Score on first SAT    500   380 560   430  450    360    560

Score on second SAT 540 470 580  450    480    400    600

Difference d                -40  -90   -20    -20    -30     -40     -40     ∑ -280

d²                               1600  8100 400 400   900   1600  1600   ∑14600

a. Let the hypotheses be

H0:  ud= 0      against the claim Ha: ud ≠0

The degrees of freedom = n-1= 7-1= 6

The significance level is 0.05

The test statistic is

t= d`/sd/√n

The critical region is ║t║≤ t (0.025,6) = ±2.447

d`= ∑di/n= -280/7= -4

Sd²= ∑(di-d`)²/n-1 = 1/n-1 [∑di²- (∑di)²n]

= 1/6[14600-(-4)²/7] = [14600-2.2857/6]= 2432.952

b. Sd= 49.3249= 49.325

Therefore

c. t= d`/ sd/√n

t=   -4/ 49.325/√7

t= -4/18.6435 = -0.2145= -0.215

d. Since the calculated value of t = -0.215  falls in the critical region so we accept Ha that SAT prep course improves the students' verbal SAT scores and reject the null hypothesis at significance level 0.05

e. These results support the claim that the SAT prep course improves the students' verbal SAT scores.

Answer:

B

Step-by-step explanation:

We are given that the position of a particle is modeled by the function:

[tex]s(t)=2t^3-24t^2+90t+7[/tex]

And we want to find the times for which the speed of our particle is increasing.

In other words, we want to find the times for which our acceleration is positive (a(t)>0).

So first, we will find our acceleration function. We can differentiate twice.

By taking the derivative of both sides with respect to t, we acquire:

[tex]\displaystyle s^\prime(t)=v(t)=\frac{d}{dt}\big[2t^3-24t^2+90t+7\big][/tex]

Differentiate:

[tex]v(t)=6t^2-48t+90[/tex]

This is our velocity function. We can differentiate once more to acquire the acceleration function. Therefore:

[tex]\displaystyle v^\prime(t)=a(t)=\frac{d}{dt}\big[6t^2-48t+90\big][/tex]

Differentiate:

[tex]a(t)=12t-48[/tex]

If our speed is increasing, our acceleration must be positive. So:

[tex]a(t)>0[/tex]

By substitution:

[tex]12t-48>0[/tex]

Now, we can solve for t:

[tex]12t>48\Rightarrow t>4[/tex]

Therefore, the only interval for which the speed of the particle is increasing (i.e. the acceleration is positive) is for all times t>4.

So, our answer is B.

Answer:

1200

Step-by-step explanation:

60                 x

-              =    -

100               800

There are 2 ways to solve this.

1) 800 x 60= 48,000

Divide by 100= 480

x=480

2)  Multiply 60 by 8.

Now there are another 2 ways to go.

1) 480        x

   -        =   -

  800        2000

2) 60            x

   -          =    -

   100           2000

To get 2000, 100 must be multiplied by 20. So.... multiply 60 by 20 to get a equal ratio.

Your answer is 1200. Meaning 1200 adults cooked dinner more than four nights per week.

I hope this helps you significantly

~~~LampteyJ

Answer:

1200

Step-by-step explanation:

Answer:

The correct answer is Option 3: 12y

Step-by-step explanation:

A polynomial term is usually made of a variable and a co-efficient.

Like terms are those terms that have the same variables i.e. x and 44x are like terms.

Given expression is:

[tex]6y-2y+8y[/tex]

All the terms have only y which means that all three terms are alike.

The coefficients of like terms are added or subtracted according to their sign.

[tex]6y-2y+8y[/tex] = 12y

Hence,

The correct answer is Option 3: 12y

Answer: 3. 2

Step-by-step explanation:

Given the data:

3.12 2.45 4.0 3.76 3.54 2.78 3.39 3.21 1.98 3.43 3.98 2.77

Point estimate of population mean :

Σx / N

(3.12 + 2.45 + 4.0 + 3.76+ 3.54 + 2.78 + 3.39 + 3.21 + 1.98 + 3.43 + 3.98 + 2.77)

= 38.41 / 12

= 3.2008

Answer:

d or b

Step-by-step explanation:

quick math

Answer:

-34

Step-by-step explanation:

Answer:

The answer is  34

Step-by-step explanation:

i was following the order of PEMDAS (parenthesis, exponents, multiplication, division, addition, subtraction)

so i did 6x2 which got me to 12 and then I added 10 which gave me 22, and then lastly i subtracted 56-22 which gave me 34.

~Hope this explanation has helped you, have a great day/ night!~