Use the formula for simple interest. A=(p)(r)(t) remember, a refers to the interest accrued. Calculate the total interest tom would pay, in addition to paying back his $9,000 in principal. $970 $1,970 $2,970 $3,970

Answers

Answer 1

Answer:

2,970$

Step-by-step explanation:

Answer 2

Answer:

C

Step-by-step explanation:


Related Questions

(t divide 3) + 1= 5 + 1

Answers

Answer:

t=15

Step-by-step explanation:

t/3 + 3/3 = 6

combine fractions w/ common denominator:

t+3/3 = 6

multiply both sides by denominator (3):

note: the two threes from 3 x t+3/3 cancel each other out

t+3=3x6

t+3=18

subtract 3 from both sides and you get 15

t=15

hope this helps :)

Find the equation of
the line that cuts through (0, 5) and (1, 2)?
a. y=-3x+5
C.
y =-57+3
b. y = 3x+5
d.
Y=--X+3
Please select the best answer from the choices provided

Answers

a. y=-3x+5

Substitute your x value into the equation (found in your ordered pair).
-3(0)+5=5 ; if x = 0, y = 5
-3(1)+5=2 ; if x = 1, y = 2

Complete part (a) and part(b) given the following system of equations. I really need help!!!
x-y=0
2x+3y=-5
a) Solve this system graphically.
b) Write your answer

Answers

Answer:

x=−1 and y=−1

Step-by-step explanation:

Solve by substitution

x−y=0;2x+3y=−5

Step: Solve x−y=0 for x:

x−y+y=0+y(Add y to both sides)

x=y

Step: Substitute yfor x in 2x+3y=−5:

2x+3y=−5

2y+3y=−5

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

5y/5=−5/5 (Divide both sides by 5)

y=−1

Step: Substitute−1 for y in x=y:

x=y

x=−1

Answer:

x=−1 and y=−1

The solution to the system is x = -1.8 and y = -1.8.

What is a system of equations?

A group of two or more equations that must be solved simultaneously make up a system of equations. There are many unknown variables in a system of equations, and each equation in the system depicts the relationship between those variables.

A set of variable values that satisfy every equation in a system of equations is the solution to the system of equations.

To solve this system of equations graphically, we can plot the two equations on a coordinate plane and find the point where they intersect, which represents the solution to the system.

a) To plot the equation x - y = 0, we can rearrange it to y = x and plot the line passing through the origin and the point (1, 1), as shown below:

Graph of the line y = x passing through the origin and the point (1, 1).

To plot the equation 2x + 3y = -5, we can rearrange it to y = (-2/3)x - 5/3 and plot the line passing through the points (-2, 1) and (1/3, -5/3), as shown below:

Graph of the line y = (-2/3)x - 5/3 passing through the points (-2, 1) and (1/3, -5/3).

b) The point where the two lines intersect is the solution to the system. From the graph, we can see that this point is approximately (-1.8, -1.8).

Therefore, the solution to the system is x = -1.8 and y = -1.8.

To know more about the system of equations follow

https://brainly.com/question/13729904

#SPJ2

Watch help video
Kaylee owns a small business selling clothing. She knows that in the
last week 3
customers paid cash, 21 customers used a debit card, and 46 customers used a credit
card.
Based on these results,
debit card as a
express the probability that the next customer will
pay with

Answers

The probability the next customer pays using a debit card based on the last three weeks is 30% or 0.3.

What is a probability?

This is the chance or likelood for an event to occur. For example, if in a city it has snowed every year on December 25th, there is a high probability it will snow this year and in the next years.

How to calcuate the probability?

Total of a specific outcome/ total of outcomes

Based on this, let's calculate the probability the next customer pays using the debit card:

Total that pay with debit card: 21 customersTotal of customers: 70 customers21/ 70 =0.3 or 30%

Learn more about probability in: https://brainly.com/question/11234923

#SPJ1

need help please!!!!!!

Answers

I would go with letter A but I’m not a 100% sure

Determine the equation of the circle graphed below.
10
8
-10 -8
8
-6
-2
F
4
2
N
T
-6.
2
10

Answers

Answer:

[tex] = > {x}^{2} + {y}^{2} + 6x - 14y + 49 = 0[/tex]

Step-by-step explanation:

From the graph we can see that

Diameter = 6 units

=> Radius = 3 units and centre is at (-3,7)

=> Equation is Circle with centre (-3,7) and radius of 3 units will be

[tex] = > {(x + 3)}^{2} + {(y - 7)}^{2} = {3}^{2} [/tex]

[tex] = > ( {x}^{2} + 6x + 9) + ( {y}^{2} - 14y + 49) = 9[/tex]

[tex] = > {x}^{2} + {y}^{2} + 6x - 14y + 49 = 0[/tex]

Given that f(x) = 3x + 3 and g(x)=x2- 2x-5, find (g of)(4).

(gof)(4)=0

(Simplify your answer. )

Answers

Answer:

-5=0

Step-by-step explanation:

g(4)=8-8-5=-5 you substitute 4 into x

-5=0

please helpppppppppp

Answers

Answer:

THE ANSWER IS “your net worth”

Step-by-step explanation:

Write your answer in lowest terms.

Working pls ​

Answers

Answer:

4 5/6 or 29/6

Step-by-step explanation:

Conversion a mixed number 8 1/

4

to a improper fraction: 8 1/4 = 8 1/

4

= 8 · 4 + 1/

4

= 32 + 1/

4

= 33/

4

To find a new numerator:

a) Multiply the whole number 8 by the denominator 4. Whole number 8 equally 8 * 4/

4

= 32/

4

b) Add the answer from previous step 32 to the numerator 1. New numerator is 32 + 1 = 33

c) Write a previous answer (new numerator 33) over the denominator 4.

Eight and one quarter is thirty-three quarters

Conversion a mixed number 3 5/

12

to a improper fraction: 3 5/12 = 3 5/

12

= 3 · 12 + 5/

12

= 36 + 5/

12

= 41/

12

To find a new numerator:

a) Multiply the whole number 3 by the denominator 12. Whole number 3 equally 3 * 12/

12

= 36/

12

b) Add the answer from previous step 36 to the numerator 5. New numerator is 36 + 5 = 41

c) Write a previous answer (new numerator 41) over the denominator 12.

Three and five twelfths is forty-one twelfths

Subtract: 33/

4

- 41/

12

= 33 · 3/

4 · 3

- 41/

12

= 99/

12

- 41/

12

= 99 - 41/

12

= 58/

12

= 2 · 29/

2 · 6

= 29/

6

At Ashley Furniture Store, there is a marble table that you want to
purchase for your mother. The length of the table is (-8x+2) and the width
of your rug is (3x-4). What is the total area of the table? Solve the
problem using the best method. Write the answer as a trinomial.

Answers

Step-by-step explanation:

in my opinion

total area = the width × the length

= (3x-4)(-8x+2)

= -24x²+6x+32x -8

= -24x² + 38x -8

will give brainliest, thanks in advance!!

Answers

Answer:

-3+15i

Step-by-step explanation:

Apply complex arithmetic rule: [tex]\left(a+bi\right)\left(c+di\right)=\left(ac-bd\right)+\left(ad+bc\right)i[/tex]

[tex]\left(-3\cdot \:3-3\left(-2\right)\right)+\left(-3\left(-2\right)+3\cdot \:3\right)i[/tex]

-3 * 3 -3 (-2) = -3

[tex]-3+15i[/tex]

A graph has the two points (2, 110) and (4, 220). What is the rate of change?​

Answers

Answer:

55

Step-by-step explanation:

220-110

110/2=55

10.
(08.04 MC)
The graph of the function C(x) = −0.34x2 + 12x + 62 is shown. The function models the production cost, C, in thousands of dollars for a tire company to manufacture a tire, where x is the number of tires produced, in thousands:

graph of a parabola opening down passing through points negative 4 and 57 hundredths comma zero, zero comma 62, 1 and 12 hundredths comma 75, 17 and 65 hundredths comma 167 and 55 hundredths, 34 and 18 hundredths comma 75, and 39 and 87 hundredths comma zero


If the company wants to keep its production costs under $75,000, then which constraint is reasonable for the model? (1 point)
−4.57 ≤ x ≤ 39.87
1.12 ≤ x ≤ 34.18
−4.57 ≤ x ≤ 1.12 and 34.18 ≤ x ≤ 39.87
0 ≤ x < 1.12 and 34.18 < x ≤ 39.87

Answers

https://brainly.com/question/14438192

Answer:

1.12 ≤ x ≤ 34.18

Step-by-step explanation:

This constraint ensures that the number of tires produced, represented by x, falls within the range where the production costs, represented by C(x), are below $75,000.

Find the common ratio of the geometric sequence 20,40,80

Answers

Answer:

a = 2a(- 1)

Step-by-step explanation:

I have done the maths

slove for x 10(2x-4)=100x A.x=7 B.x=3 C.x=1/2 D.x=-1/2

Answers

Answer:

The answer is D. x=-1/2

Step-by-step explanation:

multiply the parantheses by 10 that'll give us 20x-40=100x2. move terms, that'll give us 20x-100x=403. subtract 100x from 20x, that'll give us -80x=404. divide both sides by -80, which is x=-1/2

Answer:

D. x = -1/2

Step-by-step explanation:

10(2x - 4) = 100x

1. Divide both sides by 10.

10/10 (2x - 4) = 100x/102x - 4 = 10x

2. Add 4 to both sides.

2x - 4 +4 = 10x + 42x = 10x + 4

3. Subtract 10x from both sides.

2x - 10x = 10x + 4 - 10x-8x = 4

4. Divide both sides by -8.

-8x/-8 = 4/-8x = -1/2

The answer is D.

A circle with a radius of 6 m has an arc of 4 pi m. What is the measure of the centra angle?

Answers

Answer: Since the arc length is given (4 ) and the radius is given (6), the central angle  can be found

Arc Length = theta * r

4 pi = theta * 6 Divide by 6

4 pi / 6 = theta

theta = (2/3) pi

Step-by-step explanation:

I’ve been struggling with these three for awhile I got everything else on the worksheet but these please help SOH CAH TOA

Answers

The distance between Casey and the base of the lighthouse is 49 ft.

What is the angle of elevation and depression?

The angle of elevation refers to the angle formed by the straight horizontal line and an object. The crosshair of an observer is usually above the horizontal. 

The angle of depression is the angle formed by the horizontal and a downward angle to an object. The crosshair of an observer is usually above below the horizontal.

1.

The distance between Casey and the base of the lighthouse can be determined by using the tangent of trigonometry.

(TOA)

[tex]\mathbf{tan \theta = \dfrac{opp}{adj}}[/tex]

[tex]\mathbf{tan \ 58 = \dfrac{78}{x}}[/tex]

[tex]\mathbf{x= \dfrac{78}{1.6003}}[/tex]

x ≅ 49 ft

2.

The height of the goal post can be determined by using the tangent of trigonometry.

[tex]\mathbf{tan \theta = \dfrac{opp}{adj}}[/tex]

[tex]\mathbf{tan 17 = \dfrac{x}{131}}[/tex]

x = (tan 17) × 131

x = 0.3057 × 131

x ≅ 40 ft

3.

The horizontal distance between Zack and the water fountain is calculated by using the tangent of trigonometry.

[tex]\mathbf{tan \theta = \dfrac{opp}{adj}}[/tex]

[tex]\mathbf{tan \ 28 = \dfrac{75}{x}}[/tex]

[tex]\mathbf{x = \dfrac{75}{0.5317}}[/tex]

x = 141 ft

Learn more about the angle of elevation and depression here:

https://brainly.com/question/15580615

What is the length of segment np? 1 unit 2 units 3 units 4 units

Answers

Answer:

2 units

Step-by-step explanation:

Answer:

The answer is 2 units

Step-by-step explanation:

Please help! Due in 10 minutes! I'll mark brianliest!
For the three-part question that follows, provide your answer to each question in the given workspace. Identify each part with a coordinating response. Be sure to clearly label each part of your response as Part A, Part B, and Part C.

Solve the system of equations below using elimination.
4x + 4y = -37
2x + 5y = -17
Part A: What is the x-value?
Part B: What is the y-value?
Part C: In one paragraph, using your own words, explain the work you did to find the answers to parts A and B.

Answers

Answer:

Step-by-step explanation:

4x + 4y = -37

2x + 5y = -17

we are told to use elimination ,   instead of substitution,

meaning get rid of the x or y  in one of the equations.

Part C :   let's multiply (2x + 5y = -17 ) *  (-2)  so we get

-4x - 10y = 34    , then add

4x + 4y = -37

0x -6y = -3      now we have only one variable ,  y

because both sides have a minus sign, we can just drop it

6y = 3   ( divide both sides by 6)

y = 3/6

Part B : y = 1/2    we now know y

plug in the y value into  1st equation.

4x + 4(1/2) = -37

now solve for x

4x + 2 = -37

4x = -39

Part A :  x = - 39/4

Peyton is walking her dog, Willow, on a local trail and the dog falls 153 feet down a ravine! Payton is overcome with emotion and needs your help to save her dog. You can repel down and successfully rescue Willow, but you must calculate how much rope is needed.

The ravine is 153 feet deep the repel line will be the diagonal distance from the top of the ravine to Willow The anchor and repel line form a 35 degree angle; this is angle A in the image below.

(a) Calculate the length of the repel line using one of the 3 trigonometry ratios taught (sin, cos, tan) Round your answer to the nearest whole number. Show all needed math for calculating this length.

Answers

The length of the repel line using one of the 3 trigonometry ratios will be 186.78 feet.

How to calculate the length?

From the information given, Peyton is walking her dog, Willow, on a local trail and the dog falls 153 feet down a ravine.

The length will be calculated thus:

Cos 35° = 153/AC.

AC = 153/cos 35°

AC = 153/0.819

AC = 186.78 feet.

Therefore, the length is 186.78 feet.

Learn more about length on:

https://brainly.com/question/2217700

help v qucik pleaseeeeee

Answers

[tex](x - 4) {}^{2} + (y - 1) {}^{2} = r {}^{2} [/tex]

passes through ( 4 , -4 )

[tex](4 - 4) {}^{2} + ( - 4 - 1) {}^{2} = r {}^{2} [/tex]

[tex]r {}^{2} = ( - 5) {}^{2} [/tex]

[tex]r {}^{2} = 25[/tex]

[tex]r = \sqrt{25} = 5[/tex]

Your radius is 5 units

[tex]c = 2\pi \: r \\ c = 2 \times 3.14 \times 5 \\ c = 31.4[/tex]

To Draw:

Place your center at the point x=4 and y=1

Then take your radius 5 units by going straight down left right or up by 5 units

AND DRAW

Cynthia is flying a kite in her back pasture. She let out 50 meters of kite string and the string makes an angle of elevation with the ground of 42. How high is the kite flying to the nearest tenth of a meter

Answers

The required kite is flying at a height of approximately 45.02 meters to the nearest tenth of a meter.

To find the height at which the kite is flying, we can use trigonometry, specifically the tangent function. The tangent of the angle of elevation (42 degrees) is the ratio of the height (h) of the kite to the distance from Cynthia to the kite (50 meters).

The formula for the tangent of an angle is:

[tex]tan(angle) = opposite/adjacent[/tex]

In this case, the angle is 42 degrees, the opposite side is the height of the kite (h), and the adjacent side is the length of the string (50 meters).

[tex]tan(42^o) = h / 50[/tex]

To find the height (h), we can rearrange the equation:

[tex]h = 50 * tan(42^o)[/tex]

Now, let's calculate the height:

[tex]h =50 * tan(42^o)[/tex]

h ≈ 50 meters * 0.9004
h ≈ 45.02 meters (rounded to two decimal places)

So, the kite is flying at a height of approximately 45.02 meters to the nearest tenth of a meter.

Learn more about trigonometry here:

https://brainly.com/question/30850786

#SPJ12

Find the surface area of the cylinder. Type an exact answer in terms of pi.

Answers

Answer:

~150.8

Step-by-step explanation:

surface area of a cylinder=2 pi r h + 2 pi r²

[tex]\large{\boxed{\mathfrak\pink{\fcolorbox{pink}{pink}{Answer:-}}}}[/tex]

POINTS TO BE NOTED

SURFACE AREA OF THE CYLINDER IS ALSO KNOWN AS TOTAL SURFACE AREA A solid figure bounded by a cylinder and two parallel planes intersecting the cylinder.

nd, to find Surface area of cylinder there is one formula

[tex] \pink{ \boxed{ \sf2 \pi \: r(h + r)}}[/tex]

[tex]\purple{\rule{15mm}{2.9pt}} \red{\rule18mm{2.5pt}} \orange{ \rule18mm{2.5pt}}[/tex]

★Here

r( RADIUS) = 3cmh(HEIGHT)= 5cm

★ Let's solve:-

[tex] \sf \: ↦2 \pi \times 3(5 + 3) \\ \sf \:↦ 2\pi \times 15 + 9 \\ \sf \:↦ 2\pi \times 24 \\ \sf \: ↦48\pi\:cm²[/tex]

[tex]\purple{\rule{15mm}{2.9pt}} \red{\rule18mm{2.5pt}}\orange{ \rule18mm{2.5pt}}[/tex]

Hence;

The surface area of the cylinder=48πcm²

factor the following expression
[tex]16x^{2} - 25[/tex]

Answers

[tex]16x^2-25\\\\=(4x)^2-5^2\\\\=(4x+5)(4x-5)[/tex]

For f(x)= 2x + 1 and g(x) = x^2 - 7, find (f+g)(x).

Answers

Answer:

x^2+2x-6, or C

Step-by-step explanation:

We want to combine the values of both f(x) and g(x) into one equation.

We could write this as 2x+1+x^2-7

Simplified- x^2+2x-6, or C

if x=15 degrees and the measure of Arc YZ is 3 centimeters, what is the circumference of the circle?

A- 24
B- 45
C- 60
D- 72

Answers

An arc length is just a fraction of the circumference of the entire circle. So we need to find the fraction of the circle made by the central angle we know, then find the circumference of the total circle made by the radius we know. Then we just multiply them together. Let’s try an example where our central angle is 72° and our radius is 3 meters.

First, let’s find the fraction of the circle’s circumference our arc length is. The whole circle is 360°. Let’s say our part is 72°. We make a fraction by placing the part over the whole and we get 72360, which reduces to 15. So, our arc length will be one fifth of the total circumference. Now we just need to find that circumference.

The circumference can be found by the formula C = πd when we know the diameter and C = 2πr when we know the radius, as we do here. Plugging our radius of 3 into the formula, we get C = 6π meters or approximately 18.8495559 m.

Now we multiply that by 15 (or its decimal equivalent 0.2) to find our arc length, which is 3.769911 meters. Note that our units will always be a length.

How to Find the Sector Area

Just as every arc length is a fraction of the circumference of the whole circle, the sector area is simply a fraction of the area of the circle. So to find the sector area, we need to find the fraction of the circle made by the central angle we know, then find the area of the total circle made by the radius we know. Then we just multiply them together. Let’s try an example where our central angle is 72° and our radius is 3 meters.

First, let’s find the fraction of the circle’s area our sector takes up. The whole circle is 360°. Our part is 72°. We make a fraction by placing the part over the whole and we get 72360, which reduces to 15. So, our sector area will be one fifth of the total area of the circle. Now we just need to find that area.

The area can be found by the formula A = πr2. Plugging our radius of 3 into the formula we get A = 9π meters squared or approximately 28.27433388 m2.

Now we multiply that by 15 (or its decimal equivalent 0.2) to find our sector area, which is 5.654867 meters squared. Note that our answer will always be an area so the units will always be squared.

The circumference of the circle is 72cm.

Arc length formula

[tex]Arc length = 2\pi r(\frac{x}{360} )[/tex]

where

r is the radius of the circle

x is the central angle of the arc

Circumference of the circle

Circumference of the circle or perimeter of the circle is the measurement of the boundary of the circle. It is calculated as

circumference of the circle = 2πr

According to the given question we have

central angle of the arc, x = 15 degrees

Arc length = 3 cm

Let r be the radius of the given circle.

Then,

Arc length = 2πr[tex](\frac{15}{360} )[/tex]

⇒ 3 ×[tex]\frac{360}{15}[/tex]  = circumference of the circle   ( circumference or circle =2πr)

circumference of the circle = 72 cm

Learn more about arc length of circle here:

https://brainly.com/question/1577784

#SPJ2

Please answer ASAP for 15 points pls

Answers

Answer: 125

Step-by-step explanation:

Kira's purple scarf is 3 1/2 feet long. Her red scarf is 1 1/3 times as long as her purple
scarf. How many feet long is Kira's red scarf?

Answers

Answer:

4.55 or 4.7 depending on how you round

Step-by-step explanation:

3 1/2=3.5

1 1/3= 1.3

3.5x1.3=4.55

What is the value of the expression
below when a
8, b = 16, and c = -4 ?

Answers

Answer:

35

Step-by-step explanation:

5*³√8-(-4)*√16+9=5*2+4*4+9=35

A triangle is reduced.

A triangle has a base of 16 inches, height of 12 inches, and side length of 20 inches. A smaller triangle has a base of 12 inches, height of 9 inches, and side length of blank.
Not drawn to scale

What is the perimeter of the reduced triangle, in inches?
15
21
36
48

Answers

The answer is 36
Explanation because it’s 36

Answer:

c.) 36

Step-by-step explanation:

The triangle was reduced by 36 inches

Other Questions
PLEASE HELP ASAP!!! I really need help filling this out and its really important that the answers are correct. Im giving tons of points and brainliest The famous pink-colored sand of Bermuda's beaches is due to crushed shells of ________, marine organisms with tests (porous shells) made of organic material hardened by calcium carbonate. lobsters foraminifera radiolarians green algae You have been driving a manual transmission vehicle for 5 years and no longer need to think about what you are doing in order to drive. Which pathway is involved (do all three and show work) find the circumference of the circle. use 3.14 or [tex]\frac{22}{7}[/tex] for [tex]\pi[/tex] Which is not true about Dr. Martin Luther King, Jr.s beliefs?King taught that one should resist injustice even if it means going to jail.King believed in civil disobedience, or the peaceful refusal to obey unjust laws.Kings beliefs were rooted in Christian teachings, since he told followers to meet hate with love.King believed that violent protests would be necessary to achieve civil rights for African Americans. Why can light be treated like a particle?O A. Some wavelengths are visible and some are not.B. Light comes in chunks of energy called photons.C. Light waves can bounce off of some surfaces.D. Light can be separated into a spectrum of colors. What was the eventful outcome of the Vietnam War? ( Will Mark Brainliest). Do Not Answer If You Truly Don't Know Please. In an amphitheater, there are 20 seats in the front row, 23 seats in the second row, 26 seats in the third row, and so on, in an arithmetic sequenc A) Write an explicit formula to find an. The number of seats in the n row. B) The last row in the amphitheater has 83 seats in it. How many rows a seats are there?C) Write an expression using sigma notation that represents the total number of seats in the amphitheater. D) Evaluate this expression. How many total seats are there? How many micrometers are in a decimeter and how many millimeters are in a nanometer? The table is shown below with the length of the unit (in meters). The Aztec prayed for many reasons, but the main thing they prayed for during religious ceremonies was help with __________. A. farming B. government C. trade D. war Help with these questions Eli and Samantha work at a dry cleaners ironing shirts. Eli can iron 20 shirts per hour, and Samantha can iron 35 shirts per hour. Samantha worked 2 more hours than Eli and they ironed 400 shirts between them. Write a system of equations that could be used to determine the number of hours Eli worked and the number of hours Samantha worked. Define the variables that you use to write the system. describing why this archaeological find is so important and has the potential to change our understanding of the relationship between agriculture and religion. Determine the number of moles of gas contained in each of the following: a. 1.25 L at 250.0 K and 1.06 atm b. 0.80 L at 27C and 0.925 atm c. 7.50 102 mL at -50.0C and 0.921 atm How many times bigger is 3.4510 than 0.510 FREE BRAINLIEST IF CORRECT: Write the following without the absolute value sign: |a^2| if a>0 how has the new potato GMO been used to solve the problem of feeding the changing population? A storage container measures 3 ft by 6 ft and is 5 ft high. What is the volume of this container in cubic yards? The community reinvestment act of 1977 succeeded in reducing discrimination against banks. Helping to improve the economy. Reducing discrimination against borrowers. Lowering interest rates charged by banks Write an Essay describing in your own words, the two-way Communication Cycle naming all the stages and explaining what goes on at each stage. Illustrate any two barriers that may occur at each of the stages. A correctly labelled diagram is essential for your essay.