Rachel had a loan for $4,000 loan for 4 years.
She paid a total of $608 in simple interest over the 4 years.
What was the annual interest rate for the loan?

Answers

Answer 1

9514 1404 393

Answer:

  3.8%

Step-by-step explanation:

The interest on a simple-interest loan is ...

  I = Prt

where P is the principal value, r is the annual rate, and t is the number of years.

Solving for r, we get ...

  r = I/(Pt) = 608/(4000×4) = 0.038 = 3.8%

The annual interest rate for the loan was 3.8%.


Related Questions

HELP! WILL GIVE BRANLIEST!

Answers

Answer:

x=16 would be the angle measures.

The diameter of a circle is 10 cm find its circumference in terms on pi

Answers

Answer:

31.41593 cm

Step-by-step explanation:

Using the formulas

C=2πr

d=2r

Solving forC

C=πd=π·10≈31.41593cm

In which step does a mistake first occur?
(24+3 + 10)-14 +2
Step 1: (8 + 10) -14 + 2
Step 2: 18 -14+2
Step 3: 4+2
Step 4: 2

Answers

Answer:

The step that a mistake first occurs is in step 1.

Step-by-step explanation:

In step one, the constants in the parenthesis went from 24 + 3 + 10 to 8 + 10, which is essentially impossible, so step 1 was the step where a mistake first occurred.

7t + 2 = t + 32

a. 12
b. -5
c. 5
d. -12​

Answers

Answer:

    c.5 is correct

Step-by-step explanation:

7t+2=t+32

shift similar terms  on one side

7t-t=32-2

6t=30

t=30/6

t=5

Damian is trying to pick out an outfit for the first day of school. He can choose from 3 pairs of pants, 5 t-shirts, 8 sweaters or hoodies, and 5 pairs of shoes. How many different outfits does Damian have to choose from? (Don't answer if you don't know and no bots with the fake links pls)

Answers

Answer:

64 outfits I think.

Step-by-step explanation:

The number of the different outfits do Damian have to choose is 600.

What are permutation and combination?

A permutation is an act of arranging the objects or elements in order.

Combinations are the way of selecting objects or elements from a group of objects or collections, in such a way the order of the objects does not matter.

Different outfits do Damian have to choose, will be;

⇒3C₁×5C₁×8C₁×5C₁

⇒3×5×8×5

⇒600

Hence,the number of the different outfits do Damian have to select is 600.

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If you have 8 marbles in the bag (5 blue and 3 green) and you draw 2 with replacement, what is the theoretical probability that both marbles will be green?
a.
14%
c.
23%
b.
20%
d.
39%

Answers

Answer:

d.39%

Step-by-step explanation:

Loki told me

But really, 39% should be correct

The accompanying table shows the number of bacteria present in a certain culture over a 4 hour period, where x is the time, in hours, and y is the number of bacteria.Write an exponential regression equation for this set of data, rounding all coefficients to the nearest thousandth. Using this equation, determine the number of bacteria present after 11 hours, to the nearest whole number.

Answers

Answer:

3r1

The accompanying table shows the number of bacteria present in a certain culture over a 4 hour period, where x is the time, in hours, and y is the number of bacteria.Write an exponential regression equation for this set of data, rounding all coefficients to the nearest thousandth. Using this equation, determine the number of bacteria present after 11 hours, to the nearest whole number.

Answer: 7041 is the answer. I’m not sure how to explain. I took a lucky guess on my quizzez assignment and got it correct.

Solve for x given the picture
I need an explanation
Will mark brainliest

Answers

Answer:

C. 10

Step-by-step explanation:

all the other answers are negative so the triangle would be impossible to make

Brainiest as promised pls

Who knows the answer for this problem

Answers

- Each friend has 10 nails to paint

- There are 8 friends

- Jackie finished painting 4 friend's nails

If there are 8 friends, and each friend has 10 nails to paint, then there are 80 nails that need to be painted in total.

Jackie finished painting 40 nails.

So the math sentence will be:

80 - 40 = 40

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

Jackie needs to paint 40 more nails.

Alice makes 32 of her 40 free throws during practice. Which teammate has a higher probability of making a free throw during practice?

Answers

Answer:

Step-by-step explanation:

B dawn made 45 out of 50 free throws

How many times bigger is 3 to the power of 15 compared to 3 to the power of 12?Explain your answer.

Answers

Answer: 3 to the power of 15 is 27 times bigger compared to 3 to the power of 12

Explanation:
3 to the power of 15 = 14348907
3 to the power of 12 = 531441

14348907 divided by 531441 = 27

In a different field
number of goats: number of pigs = 13:4
Priya says.
"There are more than three times as many goats as pigs
Is she correct?
Tick one box
Yes
NO
Cannot tell
Show working to support your answer.

Answers

Answer:

yes

to determine if the statement is true, divide the ratio of goats by the ratio of pigs

13/4 = 3 1/4

there are 3 1/4 more goats as their are pigs

Step-by-step explanation:

ENTERTAINMENT For Exercises 19 and 20, use the following information.
Fairfield High spent d dollars for refreshments, decorations, and advertising for a dance. In
addition, they hired a band for $550.
19. Write an expression that represents the cost of the band as a
fraction of the total amount spent for the school dance.
20. If d is $1650, what percent of the budget did the band account for?

Answers

Answer:

D + 550 = X

The band accounted for 25% of the budget.

Step-by-step explanation:

Since Fairfield High spent D dollars for refreshments, decorations, and advertising for a dance, and in addition, they hired a band for $ 550, to write an expression that represents the cost of the band as a fraction of the total amount spent for the school dance and determine, if D is $ 1650, what percent of the budget did the band account for, the following calculations must be performed:

D + 550 = X

D = 1650

1650 + 550 = X

2200 = X

2200 = 100

550 = X

550 x 100/2200 = X

55,000 / 2,200 = X

25 = X

Therefore, the band accounted for 25% of the budget.

To the nearest square centimeter, what is the area of the circle below? Use pi = 3.14

Answers

Answer:

[tex]radius \: \: r = 5 \: cm \\ area = \pi {r}^{2} \\ = 3.14 \times (5) {}^{2} \\ = 78.5 \: {cm}^{2} [/tex]

Answer:

[tex]78.5cm^{2}[/tex]

Step-by-step explanation:

[tex]A=\pi r^{2}[/tex]

[tex]A=(\pi )(5)^{2}[/tex]

[tex]A=78.5[/tex]

so I guess rounding it to 79

-2 (x + 3) need help with distributive property -_-

Answers

-2 (x + 3)

-2x-6

You just distribute the -2 to the x and 3

Which equation below is decreasing across all real numbers ?

A. y=2(1/4)^x

B. y=1/3(5)^x

C. y=3x-5

D. y=3(5)^x

Answers

Answer:

A

Step-by-step explanation:

All the other exponential equations have a base greater than 1 except A and c is a linear equation with positive slope

Ana,beto y Carla son confeccionará de polos,por cada 12 polos que confecciona Ana,Beto confecciona 7,mientras que por cada 28 polos que confecciona Beto,Carla confecciona 15 si el fin de semana Carla confecciona 198 polos más que Carla,cuántos polos confecciono Beto ese día?

Answers

Resolviendo un sistema de ecuaciones veremos que polo hizo 170 polos.

¿Cuantos polos confecciono Beto ese día?

Sabemos que por cada 12 polos que confecciona Ana, Beto hace 7.

Por cada 28 polos que confecciona Beto, Carla confecciona 15.

Y sabemos que Ana hizo 198 polos mas que Carla.

Definamos las variables:

C = polos que hizo Carla.

A = polos que hizo Ana

B = polos que hizo Beto.

Podemos escribir las ecuaciones:

A = C + 198

B = (7/19)*A

B = 28/(28 + 15)*C

Tenemos un sistema de ecuaciones, las segundas dos son las que obtenemos con los ratios que nos proporcionan.

Reemplazando la primer ecuacion en la segunda obtenemos el sistema:

B = (7/19)*(C + 198)

B = 28/(43)*C

De la segunda ecuacion podemos obtener:

C = B*(43/28)

Remplazando eso en la otra ecuacion obtenemos:

B = (7/19)*(B*(43/28)+ 198)

Ahora podemos encontrar el valor de B.

B = 0.57*B + 72.95

B - 0.57*B =  72.95

B*0.43 = 72.95

B = 72.95/0.43 = 169.6

Redondenado, B = 170, ese es el número de polos que Beto confecciono.

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True or false: If your expression contains more than one set of parentheses, you should evaluate all of them before doing anything else.

Answers

Answer:

The answer to the above question would be true

What is the difference in volume between a sphere with radius r and a sphere with radius 0.3r?

Answers

Answer:

[tex]d = 1.2973\pi r^3[/tex]

Step-by-step explanation:

Given

[tex]R_1 = r[/tex]

[tex]R_2 = 0.3[/tex]

Required

The difference in their volumes

The volume of a sphere is:

[tex]V = \frac{4}{3}\pi r^3[/tex]

So, the difference d is:

[tex]d = \frac{4}{3}\pi [R_1^3 - R_2^3][/tex]

[tex]d = \frac{4}{3}\pi [r^3 - (0.3r)^3][/tex]

[tex]d = \frac{4}{3}\pi [r^3 - 0.027r^3][/tex]

[tex]d = \frac{4}{3}\pi *0.973r^3[/tex]

[tex]d = \frac{3.892}{3}\pi r^3[/tex]

[tex]d = 1.2973\pi r^3[/tex]

Volume is a three-dimensional scalar quantity. The difference in the volume between a sphere with radius r and a sphere with radius 0.3r is 4.0757r³ unit³.

What is volume?

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

The volume of the sphere with radius(r) is,

Volume = (4/3)×π×r³

The volume of the sphere with radius (0.3r) is,

Volume = (4/3)×π×(0.3r)³

The difference in the volume between a sphere with radius r and a sphere with radius 0.3r is,

Difference = [(4/3)×π×r³] - [(4/3)×π×(0.3r)³]

                  = (4/3)πr³[1-0.027]

                  = (4/3)πr³(0.973)

                  = 4.0757r³ unit³

Hence, The difference in the volume between a sphere with radius r and a sphere with radius 0.3r is 4.0757r³ unit³.

Learn more about Volume:

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PLZ help will mark the brainliest!!!!

Answers

Answer:

The answer is 0

Step-by-step explanation:

2x+15=x+15

    -15  -x

x=0

Hoshi has $50. Emily has $23 more than Hoshi. Karl has $16 less than Emily. How much money do they have all together?

Answers

Answer:

88

Step-by-step explanation:

50 - 23 = 27

27 - 16 = 11

50 + 11 + 27 = 88

Complete the equation of the line through (4,-8) and (8,5)
Use exact numbers.
Y=?

Answers

The Answer:

y=3.25x+ (-21)

Answer:

y-intercept = (0, -21)

Step-by-step explanation:

Find the value of the slope.

[tex]m = \frac{13}{4} [/tex]

Find the value of the y-intercept.

[tex]b = - 21[/tex]

List the slope and y-intercept.

Slope: 13/4

y-intercept: (0, -21)

yo can someone please help me out. school is rlly stressful and i just need help. the question is “find the perimeter and area of each figure. use 3.14 for pi when needed.” the work is on composite figures. tysm <3

Answers

These will be the answers

-95, -17,-60-90, 67, 74, 27, 70
Mean
Median
Mode
Range
Pls help me atleast just give me the medium

Answers

Answer:

mean:-3

median:5

mode: all values appeared once  

range:169

Step-by-step explanation:

HELP! WILL GIVE BRANLIEST

Answers

Answer:

X=11

Z=73

Step-by-step explanation:

So vertical angles are equal so to find X

107=12x-25

Solve the equation

x=11

4 angles are 360 degrees, we know 2 angles.

107+107= 214

360-214= 146

146 is the two angles added up, divide them by 2 to find each side

146/2= 73

Z=73

Level 5:
C. Two motorcycles start at the same point. One travels 15 km due north and stops while the other travels 32 km due west
and stops. Which value is closest to the distance between the motorcycles when they are both stopped?
A. 28.3 km
B. 47.0 km
C. 35.3 km
D. 21.9 km

Answers

9514 1404 393

Answer:

  C.  35.3 km

Step-by-step explanation:

From your knowledge of right triangles, you know that the hypotenuse is longer than the longest leg and shorter than the sum of the legs.

For this geometry, the distance of interest is longer than 32 km and shorter than 15+32 = 47 km. The only answer choice in the correct range is ...

  35.3 km

23. -2/k=?/8k?
Need the answer ASAP please.

Answers

Answer:

-1.44859461 × 1023 m-2 kg-1 s2 K

dot plot shows the number of siblings each student has do at least 50% of students have more than 2 siblings? how do you know?

Answers

Answer:

Yes, because 2, 3, and 4 siblings added together will pass half of 20 ( the total of everything).

Step-by-step explanation:

Start with x2 - 6x + 8 = 0 and complete the square, what is the equivalent equation?
es -))
A)
(x + 3)2 = 1
B)
(x+3)2 = 9
C)
(x - 3)2 = 1
D)
(x-3)=9

Answers

x is equivalent to 5.0

This shape has all identical faces and a surface area of 240 square meters. What is the area of each face?
A 120
B 80
C 60
D 30

Answers

Pretty sure it’s has 8 faces so if I’m not wrong the answer should be 30
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