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?

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

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.

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%

Answer:

10 cans for $5.80

Step-by-step explanation:

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.

Answer:

1/3

Step-by-step explanation:

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

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

Answer: The triangles are not similar

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

Explanation:

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

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:

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.

Answer: 11kg

Step-by-step explanation:

flour = 1/3 of rice

flour = 1/3 x 33 or 33/3

flour = 11kg

Answer:

D

Step-by-step explanation:

250 +375=625

250/625 × 100= 40%

Answer:

5

Step-by-step explanation:

Answer:

12 smoothies

Step-by-step explanation:

9/2 ÷ 3/8 = 12

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

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

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

[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

[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

[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.

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.

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

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

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

Answer: i would say c sorry if im wrong

Step-by-step explanation:

Answer:b

Step-by-step explanation:

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 :)

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! ;)

Answer:

32 °F

Sorry if I'm wrong

Step-by-step explanation:

Step-by-step explanation:

I'm wondering this too..

Answer:

x = 6

y = 12

z = 12√2

Step-by-step explanation:

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°

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

x= (11+b)+5

Hope this helps

Answer:

The mean is 65 and the median is 70.

Step-by-step explanation:

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.

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

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