Araine borrows $400 on a 4-year loan. She is charged 5% simple interest per year. How much interest is she charged for 4 years? What is the total amount she has to pay back?

Answers

Answer 1

Answer:

Interest Charged = $80

Total payback = $480

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Present Value (PV) = $400

Time period (n) = 4 years

Interest rate (r) = 5%

So, we can calculate the future value(FV), by using following formula,

FV = PV ( 1 + n × r)

By putting the value, we get

FV = $400 ( 1 + 4 × 0.05)

= $480

Hence total amount she has to pay back = $480.

Interest charged = FV - PV

= $480 - $400

=$80


Related Questions

What is the area of the triangle?
6
21

units

Answers

Answer:

63 units²

Step-by-step explanation:

The formula for the area of a triangle is 1/2(bh).

1/2(21 * 6)

1/2(126)

63

The area of the triangle is 63 units².

Answer:

63 units²

Step-by-step explanation:

The formula for the area of a triangle is 1/2(bh).

1/2(21 * 6)

1/2(126)

63

The area of the triangle is 63 units².

Fast HURRY PLEASE HELP

Answers

Answer: i would say c sorry if im wrong

Step-by-step explanation:

Answer:b

Step-by-step explanation:

Given y varies directly as x, find the constant of variation k.​

Answers

The constant would be y=3x

Find g(x), where g(x) is the translation 3 units down of f(x) = x2.
Write your answer in the form a(x - h)? + k, where a, h, and k are integers.
i hate ixl

Answers

Answer:

g(x) = x² - 3

Step-by-step explanation:

When doing a, h, and k, there are different stanoints to each of the variables.

in this case, since we are shifting down, we use k

we are moving 3 units down so we subtract 3 with no parentheses

so g(x) = x² -3

The translating function is g(x) = ( x+ 3)².

What is Translation?

In mathematics, a translation is the movement of a shape to the left or right and/or up or down. The translated shapes appear to have the same size as the original shape, and hence the shapes are congruent. They were simply relocated in one or more directions. There is no change in the shape because it is just moved from one location to another.

We have function,

f(x) = x²

and, g(x) = a horizontal translation of 3 units left.

Now, we have to subtract 3 from the x coordinate of g(x).

So, g(x) = f(x-h) where h = -3.

Thus, the translating function is g(x) = ( x+ 3)².

Learn more about Translation here:

https://brainly.com/question/17592356

#SPJ5

PLZZZZ HELP!!!!!
I WILL GIVE BRAINLIEST AND 5 STAR AND 20 POINTS!!!
C=5/9 - (F−32)

Answers

Answer:

32 °F

Sorry if I'm wrong

Step-by-step explanation:

Solve the following equations 3x-5=40

Answers

Answer:

x=15

Step-by-step explanation:

3x−5+5=40+5

3x=45

Step 2: Divide both sides by 3.

3x3=453

x=15

Answer:

x = 15

Step-by-step explanation:

3x - 5 = 40

add 5 to each side of the equation:

3x - 5 + 5 = 40 + 5

simplify:

3x = 45

divide both sides by 3:

3x/3 = 45/3

simplify:

x = 15

PLS HELP AS SOON AS YOU CAN!
How many solutions does the equation 4y + 7 = 5 + 2 + 4y have?

A. One
B. Two
C. None
D. Infinitely many

Answers

Answer:

D) infinitely many solutions.

Step-by-step explanation:

1) Cancle 4y on both sides.

[tex]7 = 5 + 2[/tex]

2) Simplify 5 + 2 to 7.

[tex]7 = 7[/tex]

3) Since both sides equal, there are infinitely many solutions.

hence, the answer is option D) infinitely many solutions.

pls help with this immediately!!! (only answer if u know bc i cannot get this wrong so don’t try guessing. i’ll be giving brainiest to those with the correct answer. don’t leave a link or u will get reported)

Answers

Answer:

your answer should be $16.50 :)

Step-by-step explanation:

Answer:

16.5

Step-by-step explanation:

So lets find the change i savings for each week.

To do this, just subtract the value of the 1st week by the value of the 0th week:

7.50-6.50

=

1

So now we know for each week that passes, Henry's savings grows by 1 dollar.

Now, lets multiply the 1 dollar for each week by 10 weeks:

(dollar per week) x (amount of weeks)=(dollars for 10 total weeks)

1x10

=

10

Now that we know in 10 weeks Henry's savings increases by 10, lets add it to the orginal amount.

(Orginal amount) + (dollars for 10 total weeks) = (Total amount in savings)

6.50+10

=

16.5

Hope this helps! ;)

Translate the description as an algebraic expression:
5 more than the sum of 11 and b

Answers

x= (11+b)+5

Hope this helps

What is the slope of the line?

Answers

Answer:

The slope is 1/3

Step-by-step explanation:

you go up one whole unit and to the right 3 whole units.

Answer:   Its Just a line  explaning  how it is long

Step-by-step explanation:

the line rpresents all

Ruby uses 3/8 of a cup of blueberries for her smoothie. If she has 4 1/2
cups of blueberries, how many smoothies can she make? PLEASE HELP ASAP I ONLY HAVE 5 MINUTES

Answers

Answer:

12 smoothies

Step-by-step explanation:

9/2 ÷ 3/8 = 12

Do the side lengths of 8, 15, and 20 forms a triangle?

Answers

Answer:

Yes they do

Step-by-step explanation:

https://www.mathwarehouse.com/geometry/triangles/triangle-inequality-theorem-rule-explained.php?alenght=8&blength=15&clength=20#triangle-inequality-theorem

This demostration shows how.

Answer:

yes

Step-by-step explanation:

when 1st and 2nd lengths addition is more than 3rd side

for example

6+8>10

The ratio of nonfiction books to total books on Caleb's bookshelf is 7:10. What does this mean?
A:Caleb has seven nonfiction books and 10 fiction books on his bookshelf.
B:On his bookshelf Caleb has exactly 10 books total, seven of which are nonfiction.
C:On his bookshelf Caleb has exactly 10 books total, seven of which are nonfiction.
D:Out of every 10 books total on Caleb's bookshelf, 7 are nonfiction.

Answers

Answer:

D, Out of every 10 books total on Caleb's bookshelf, 7 are nonfiction.

Step-by-step explanation:

When we are dealing with ratios it is common to hear phrases such as "for every". In this circumstance for every 10 books Caleb has on his bookshelf, 7 of them are always nonfiction. This can also be used if we want to expand the ratio, for example, 14:20. The ratio would still be equivalent to 7:10 because each factor increased at the same rate.

Which situation has the lowest cost per can?
8 cans for $4.88
12 cans for $7.20
2 cans for $1.68
10 cans for $5.80

Answers

Answer:

10 cans for $5.80

Step-by-step explanation:

If angle obc=90, angle boc =35 what is the measure of angle bco??? Help this is due today!!

Answers

Answer:

∠BCO = 55°

Step-by-step explanation:

The sum of all the angles in a triangle is always 180°, so we need to subtract 90° and 35° from 180° to get ∠BCO.

180° - 90° - 35° = 55°

asap plssssss helpppppppp

Answers

Answer:

Answers are below.

Step-by-step explanation:

1. b - [tex]c^{2}[/tex]

2. 24/2a

3. 150 - (6 + b)

4. 2c + 10

5. 35 - m

6. 4m

7. (g + 4) 2

8. m - 5 / 4

hope this helps and is right. p.s. i really need brainliest :)

Can anyone help me on this please?

Answers

Answer:

x = 6

y = 12

z = 12√2

Step-by-step explanation:

Which of the following written expressions can be true for the algebraic expression 3n?
3 less than a number n
3 combined with a number n
the quotient of 3 and a number n
3 times a number n
3 multiplied by a number n
The product of 3 and a number n
3 increased by a number n
No

Answers

Step-by-step explanation:

I'm wondering this too..

El radio de la base de un cono circular recto mide 18.8 cm. ¿Cuál es el mayor valor que se puede tomar la altura h, para que el volumen sea máximo 416.4 centímetros cúbicos?

Answers

Respuesta:

21,16cm

Explicación paso a paso:

Volumen de un cono = 1 / 3πr²h

r es el radio de la base del cono

h es la altura del cono

Dados los siguientes valores

radio r = 18,8cm

Volumen = 416,4 centímetros cúbicos

Sustituir en la fórmula y obtener la altura.

Volumen de un cono = 1 / 3πrh

416,4 = 1 / 3π (18,8) h

416,4 = 1/3 * 3,14 * 18,8 h

416,4 = 19,6773h

Intercambio

19,6773h = 416,4

h = 416,4 / 19,6773

alto = 21,16 cm

Por lo tanto, el valor más grande que se puede tomar para la altura h, por lo que el volumen es un máximo de 416,4 centímetros cúbicos es 21,16 cm.

Answer:

21,16cm

Step-by-step explanation:

Espero que esto ayude

The starting salary of a starting teacher is $40,000, which will increase by 2% each year.

What would this teacher’s salary be after 8 years of teaching round to the nearest dollar.


Answers

Answer:

$46,866

Step-by-step explanation:

Use the compound amount equation A = P(1 + r)^t, where r is the annual interest as a decimal fraction.

Here we have A = ($40,000)(1 + 0.02)^8, or

A = A = ($40,000)(1.02)^8 = $46,866

Sheila buys 33 kg of rice, 9 kg of cornmeal and a certain amount of flour at the supermarket. The amount of flour bought is a third of the amount of rice bought. How much flour was bought?

Answers

Answer: 11kg

Step-by-step explanation:

flour = 1/3 of rice

flour = 1/3 x 33 or 33/3

flour = 11kg

5/3 X + 10/7 = 30/7

¿como se resolveria?

Answers

Answer:

12/7

Step-by-step explanation:

5/3x+10/7=30/7

5/3x=30/7-10/7

5/3x=20/7

x=(20/7)/(5/3)

x=(20/7)(3/5)

x=60/35

simplify

x=12/7

Brenya Estate produces a high quality tea branded A, B and C in the ration 1.5: 5: 1. Originally Type A tea costs 1600, type B costs 800 and type C costs 1700 per kg to produce. Brenya Tea Estate packs Super tea in packets of 825g each. Blending and packing costs are 40 per kg. Determine the production cost for a packet of super tea

Answers

Answer:

The production cost for a packet of super tea is 924.

Step-by-step explanation:

The production cost of the Super tea is given as

[tex]Cost_{super\ tea}=Cost_{A}+Cost_{B}+Cost_{C}+Cost_{packaging\ and\ blending}[/tex]

Here the costs are given as following

[tex]Cost_A=\dfrac{Ratio\ of\ A}{Sum\ of \ ratios} \times Weight \times Cost\ of\ A\ per\ kg[/tex]

Here

Ratio of A is 1.5Sum of Ratios is 1.5+5+1=7.5Weight is 825 g or 0.825kgCost of A  per kg is 1600

So

[tex]Cost_A=\dfrac{Ratio\ of\ A}{Sum\ of \ ratios} \times Weight \times Cost\ of\ A\ per\ kg\\Cost_A=\dfrac{1.5}{7.5} \times 0.825 \times 1600\\Cost_A=264[/tex]

The cost of A is 264.

Similarly

[tex]Cost_B=\dfrac{Ratio\ of\ B}{Sum\ of \ ratios} \times Weight \times Cost\ of\ B\ per\ kg[/tex]

Here

Ratio of B is 5Sum of Ratios is 7.5Weight is 825 g or 0.825kgCost of B  per kg is 800

[tex]Cost_B=\dfrac{Ratio\ of\ B}{Sum\ of \ ratios} \times Weight \times Cost\ of\ B\ per\ kg\\Cost_B=\dfrac{5}{7.5} \times 0.825 \times 800\\Cost_B=440[/tex]

The cost of B is 440.

Also

[tex]Cost_C=\dfrac{Ratio\ of\ C}{Sum\ of \ ratios} \times Weight \times Cost\ of\ C\ per\ kg[/tex]

Here

Ratio of C is 1Sum of Ratios is 7.5Weight is 825 g or 0.825kgCost of C  per kg is 1700

[tex]Cost_C=\dfrac{Ratio\ of\ C}{Sum\ of \ ratios} \times Weight \times Cost\ of\ C\ per\ kg\\Cost_C=\dfrac{1}{7.5} \times 0.825 \times 1700\\Cost_C=187[/tex]

The cost of C is 187.

Now the packaging and blending cost for the given package is calculated as

[tex]Cost_{packaging\ and\ blending}=Weight*Cost_{packaging\ and\ blending\ per\ kg}[/tex]

Here

Weight is 825 g or 0.825kgCost of packaging and blending  per kg is 40

[tex]Cost_{packaging\ and\ blending}=Weight*Cost_{packaging\ and\ blending\ per\ kg}\\Cost_{packaging\ and\ blending}=0.825*40\\Cost_{packaging\ and\ blending}=33[/tex]

Cost of packaging and blending per packet is 33.

So now substituting values of costs in the following equation gives:

[tex]Cost_{super\ tea}=Cost_{A}+Cost_{B}+Cost_{C}+Cost_{packaging\ and\ blending}\\Cost_{super\ tea}=264+440+187+33\\Cost_{super\ tea}=924[/tex]

The production cost for a packet of super tea is 924.

Find the mean and median of data below 64,91,68,78,75,53,70,12,74

Answers

Answer:

The mean is 65 and the median is 70.

Step-by-step explanation:

At Jefferson High School, there are 250 students who drive to school and 375 students who ride the bus to school. The statement below is incomplete.

The number of students who drive to school is ___ % of the number of students who ride the bus to school.

Which equation can be used to solve for the blank and complete the statement above?
A. p=250/375
B. p=375/250
C. p=375/625
D. p=250/625

Answers

Answer:

D

Step-by-step explanation:

250 +375=625

250/625 × 100= 40%

A bag cohtains 4 red marbles, 5 blue marbles and 3 green marbles. If two marbles are drawn out of the bag, what is the exact probability that both marbles drawn will be blue?​

Answers

Answer:

5/12

Step-by-step explanation:

total number of marble is 12 total number of blu is 5

Answer:

12.5%

Step-by-step explanation:

you have 7 reds of 14 total.

the 1st marble has 7 of 14 probability of being red

the 2nd has 6 of 13 of being red

the 3rd has 5 of 12 of being red

multiplying this out you have:

(7/14)*(6/13)*(5/12)=210/2184

THAT will condense down to 5/52 or 9.615%

this does assume not placing the balls back in between draws

if you do put them back in between draws you would have 7 of 14 chance each draw

that would give you by multiplying out

(7/14)*(7/14)*(7/14)=343/2744

that condenses to 1 of 8 or 12.5%

Drag the tiles to write a numerical expression for the following calculation.

Divide the difference between 70 and 20 by 25.

Answers

The answer to your question is 48

Decide weather Triangle ABC and triangle DEF are similar, not similar, or cannot be determined from the given information

Answers

Answer: The triangles are not similar

=====================================================

Explanation:

Let's focus on triangle ABC. The given angles are

A = 57B = 92

Now let's find angle C

A+B+C = 180 .... all angles of a triangle add to 180

57+92+C = 180

149+C = 180

C = 180-149

C = 31

We'll use the same idea to find the missing angle in triangle DEF

D+E+F = 180

D+92+41 = 180

D+133 = 180

D = 180-133

D = 47

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

To summarize the angle measures we found were:

C = 31D = 47

Note that while the "92"s match up (angle B and angle E), we don't have any other matches. The two triangles must have all three angles have a match somewhere in order for the triangles to be similar. Similar triangles have their corresponding angles the same measure, but the corresponding side lengths may or may not be the same.

If we had D = 57 and F = 31, then this would lead to triangles ABC and DEF being similar; however, we don't have such a thing going on. Therefore, the two triangles are not similar.

have another one that I need done ASAP please and thank u!!!

Answers

Answer:

1/3

Step-by-step explanation:

(-6,0) (-3,1)

1-0/ -3 - -6 = 1/3

Solve for b in this equation. 11 - b = 6

Answers

Answer:

5

Step-by-step explanation:

5, cause 11-5=6 hope this helps!
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