6. Didi took out a loan of S12,600 to buy a car. After one month, an interest fee of 0.5% on this
loan is added to what she owes. After the fee is added, she then makes a payment of $200 to
start paying off her loan.
Given that the interest fee will increase what she owes while the payment will decrease what
she owes, how much money does Didi owe after one month

Answer:

given ,

[tex]\fbox{a:b = 2:3}[/tex]

According to Question ,

we've to write b as a fraction of a.

thus , we know that

[tex]a:b = \frac{a}{b} \\ \\ \dashrightarrow{2:3 = \frac{2}{3} } [/tex]

now to represent b as a fraction of a ,

we'll have to consider the ratio as b : a

which means ,

[tex]b:a = inverse \: of \: a:b \\ \dashrightarrow{ b:a = \frac{b}{a} = \frac{3}{2} }[/tex]

_____________________________

_____________________________

hope helpful :D

Answer:

b = [tex]\frac{3}{2}[/tex] a

Step-by-step explanation:

express the ratios in fractional form

[tex]\frac{a}{b}[/tex] = [tex]\frac{2}{3}[/tex] ( cross- multiply )

2b = 3a ( divide both sides by 2 )

b = [tex]\frac{3}{2}[/tex] a

By finding the area of the rectangle, we will see that she will need 150 ft^2 of flooring.

For a rectangle of length L and width W, the area is:

A = L*W

And the perimeter is:

P = 2*(L + W).

In this case, we know that the length is 5ft longer than the width, so we can write:

L = W + 5ft

We also know that the perimeter is 50ft, so we can write:

P = 50ft = 2*(W + 5ft + W)

     50ft = 4*W + 10ft

     40ft/4 = W = 10ft

So the width is 10 ft, and then the length will be:

L = 10ft + 5ft = 15ft

So the area of the rectangle is:

A = 10ft*15ft = 150 ft^2

She will need 150 ft^2 of flooring.

If you want to learn more about areas, you can read:

https://brainly.com/question/24487155

Answer:

  Tina is 12 and MIna is 15

Step-by-step explanation:

Age problems can often be worked by backing out any of the changes in age so as to match the conditions specified at a given time.

Here, the ratio is given for now. The sum of the two ages is 6 years less now than it will be after 3 years, so is now 33 -6 = 27.

The sum of ratio units now is 4+5 = 9, so each ratio unit stands for 27/9 = 3 years of age. The ratio of current ages is ...

  3×4 : 3×5 = 12 : 15

Tina is 12 and MIna is 15.

_____

Check

After 3 years, their ages will be 15 and 18, which will total 33.

Answer:

Total floor: 150 sq ft = $450

Wall and Ceiling: 550 sq ft = $60

Total cost $510

Step-by-step explanation:

Floor: 15 sq ft * 10 sq ft (L * W) = 150 sq ft

150 sq ft * $3 = $450

Walls: 2(H * L) = 2(8*15) = 240 sq ft

2(H * W) = 2(8*10) = 160

Total walls sq ft = 400 sq ft

Ceiling is same as floor = 150 sq ft

Total sq ft painted = 550 sq ft

550 sq ft / 275 sq ft (covered per paint) = 2 paints = $60

$450 floor + $60 paint = $ 510

Answer:

$510

Step-by-step explanation:

The floor of the room measures 15 ft in length and 10 ft in width.

The area of the floor is length × width = 15 ft × 10 ft = 150 ft².

The hardwood costs $3/ft².

The cost of the hardwood is: $3/ft² × 150 ft² = $450

The area of the walls is the lateral surface area of the rectangular prism.

The lateral surface area of the rectangular prism is the perimeter of the base times the height.

perimeter of the base = 15 ft + 15 ft + 10 ft + 10 ft = 50 ft

height = 8 ft

lateral area = total area of the walls = perimeter × height = 50 ft × 8 ft = 400 ft²

The paint costs $30/(275 ft²).

She needs to paint 400 ft².

400 ft² / 275 ft² = 1.45

She needs 1.45 containers of paint, but she must buy full containers of paint, so she must buy 2 containers since 1 container is not enough.

Cost of paint: 2 × $30 = 60

Total cost of hardwood and paint = $450 + $60 = $510

Answer:

Step-by-step explanation:

Green marbles = 4

Blue marbles = 6

Yellow marbles = 8

Red marbles = 2

[tex]4 + 6 + 8 + 2 = 20 \: marbles[/tex]

The probability of drawing marble not yellow:

[tex]4 + 6 + 2 = 12 \\ \frac{12}{20} = \frac{3}{5} [/tex]

Brainliest please.

Answer:

X=70⁰

Step-by-step explanation:

Angle X and the angle that is 70⁰ , are corresponding angles. Corresponding angles are the pairs of angles that are found in the same relative position on different intersections.

Answer:

x=70

Step-by-step explanation:

Angle X and 70⁰ are corresponding angles.

Answer:

Length = 3.6

Width= 2.4

Step-by-step explanation:

A rectangle has length 1. 5 times the width, and perimeter 12 cm. What are the dimensions of

the rectangle?

So a rectangle has 2 longer sides and 2 shorter sides.

Knowing the length is 1.5 times the width

and perimeter of 12 centimeters.

The Perimeter is the adding of all the values around a shape. A rectangle has 4 sides so you add up all the sides.

1.5w+1.5w+w+w=12

5w=12

12/5=w

w=2.4

To figure the length just multiply 1.5*2.4=3.6

And That is how you solve it :)

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a is the answer because it makes sense and it's very logical

The probability that one is selected is the likelihood

The probability that one is selected at least once is 0.704

The sample space is given as:

S = {1,2,3}

The probability that 1 is not selected at all is:

P'(None) = 2/3

The probability that one is selected at least once is calculated using the following complement rule

P(At least once)  = 1 - P(None)^3

This gives

P(At least once) = 1 -(2/3)^3

Evaluate

P(At least once) = 0.704

Hence, the probability that one is selected at least once is 0.704

Read more about probability at:

https://brainly.com/question/251701

Answer:

[tex]\displaystyle 45 = x[/tex]

Step-by-step explanation:

Use the Pythagorean Theorem to define the hypotenuse:

[tex]\displaystyle a^2 + b^2 = c^2 \\ \\ 36^2 + 27^2 = x^2 \hookrightarrow 1296 + 729 = x^2 \hookrightarrow \sqrt{2025} = \sqrt{x^2} \\ \\ \boxed{45 = x}[/tex]

I am joyous to assist you at any time.

Answer:

Step-by-step explanation:

Answer:

The answer is D) eighteen thirds.

Step-by-step explanation:

9/1 times 2/3

equals 18/3

18/3 is "eighteen thirds"

function : p(x) = 65 + 25(x)

for 3 sells

for 10 sells

So,

140 ≤ p(x) ≤ 315

Answer:

D) 140 ≤ p(x) ≤ 315

Step-by-step explanation:

Domain

Range

Answer:

79, 80, 81

Step-by-step explanation:

Creating an equation.

let a = first number , a + 1 = second number and a + 2 = third number

the sum of these three consecutive numbers is 240

this means that , a + ( a + 1 ) + ( a + 2 ) = 240

Solving for x using the equation created.

a + ( a + 1 ) + ( a + 2 ) = 240

==> remove parenthesis

a + a + 1 + a + 2 = 240

==> combine like terms

3a + 3 = 240

==> subtract 3 from both sides

3a = 237

==> divide both sides by 3

a = 79

Finding the 3 numbers

First number = a

a = 79 so first = 79

Second number = a + 1

a = 79 so second number = 79 + 1 = 80

Third number = a + 2

a = 79 so third number = 79 + 2 = 81

The three numbers are 79, 80 and 81

Answer:

79+80+81=240

Step-by-step explanation:

240/3=80

take 1 away from 80 and add 1 to 80

Answer:

2.38 yds^3

Step-by-step explanation:

Volume of a box = width x length x height

Now we multiply!!

? = 1 x 1.7 x 1.4

1 x 1.7 x 1.4 = 2.38

Have an amazing day!!

Please rate and mark brainliest!!

[tex] \huge\fbox\orange{ANSWER} [/tex]

[tex] \mathsf \purple{v = l \times w \times h}[/tex]

[tex] \mathsf \pink{v = 1.7 \times 1 \times 1.4}[/tex]

[tex] \mathsf \purple{v = 2.38 {yd}^{3} }[/tex]

2.38 cubic yards

Answer:

7 pigs, 16 chickens

Step-by-step explanation:

p= pigs, c= chickens, legs= 60, number of pigs & chickens= 23

System of Equations:

Then, use substitution & solve:

Now, plug [tex]p=7[/tex] back into [tex]23-p=c[/tex] to get c

Answer: 7 pigs, 16 chickens or [tex]p=7[/tex] and [tex]c=16[/tex]

------

(I hope that helps & good luck! <3)

Answer:

Step-by-step explanation:

The exponents subtract. really easy 7-2=5

There are infinite possiblities to this.

SonicIsCoool, im at your service if you need more help :)

Thank you.

Answer:

[tex]\frac{a^{8} }{a^{3} }[/tex]

Step-by-step explanation:

using the rule of exponents

[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex] , then

[tex]\frac{a^{8} }{a^{3} }[/tex] = [tex]a^{(8-3)}[/tex] = [tex]a^{5}[/tex]

Answer:

x = -14 I hope this helps :)

Answer:

984m

Step-by-step explanation:

so all your doing is:

41 x 24 = 984m

Answer:

984

Step-by-step explanation:

It's so easy. Multiply 24 and 41 to get the area of the rectangle

Answer: 12,500

Step-by-step explanation:

     Since 25% voted for Mulroney, we will find 25% of 50,000.

     25% -> 0.25

     0.25 * 50,000 = 12,500

I predict that 12,500 registered voters would vote for Mulroney.

Answer:

348

Step-by-step explanation:

hope this helps

Answer:

-14

Step-by-step explanation:

-8 = 3/2 x 4 + ?

-8 = 6 + ?

-8 - 6 = -14

Your answer will be -14.

Have an amaizng day!!

Please rate and mark brainliest!!

[tex]p = 2(l + w)[/tex]

[tex]p = 2(2x - 2 + 2x + 2)[/tex]

[tex]p = 2(4x)[/tex]

[tex]p = 8x[/tex]

Answer:

ask 23

Step-by-step explanation:

(1, 2), (2, 4), (3, 8), (4, 16)

Use a recursive formula to determine the time she will complete station 5. Show your work.

Geometric Recursive Formula

f(n) = f(n − 1) • r

Answer:

f(n) = f(n − 1) • 2

Step-by-step explanation:

f(1) = 2

f(2) = 4

f(3) = 8

f(4) = 16

Geometric Recursive formula:  f(n) = f(n − 1) • r

where r is the common ratio

To determine r, divide one term by the previous term:

[tex]\sf r=\dfrac{f(n)}{f(n-1)}=\dfrac{16}{8}=\dfrac{8}{4}=\dfrac{4}{2}=2[/tex]

Therefore, f(n) = f(n − 1) • 2

[tex]\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2 \qquad \begin{cases} c=\stackrel{hypotenuse}{11 + x}\\ a=\stackrel{adjacent}{x}\\ b=\stackrel{opposite}{17}\\ \end{cases}\implies (11+x)^2=x^2+17^2 \\\\\\ (11+x)(11+x)=x^2+17^2\implies \stackrel{F~O~I~L}{121+22x+x^2}~~ = ~~x^2+289 \\\\\\ 121+22x=289\implies 22x=168\implies x=\cfrac{168}{22}\implies x=\cfrac{84}{11}\implies x=7\frac{7}{11}[/tex]

Answer:

The answer would be "no because boys on the basketball team are likely to be taller than other boys at the school"

Step-by-step explanation:

Hope this helps:)...if not then sorry for wasting your time and may God bless you:)

Answer:

[D] a/b < d

Step-by-step explanation:

a = -1.25

b = 1

c = 0.5

d = 1.25

Now Solve the statement:

a/d > c

substitute

-1.25/1.25  which is -1

-1 > 0.5

Thus, this is false

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

c < ab

substitute

0.5 < (-1.25)(1)

0.5 < -1.25

Thus, this is false.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

a > bc

-1.25 > (1)(0.5)

Hence,

-1.25 > 0.5

Thus, this is false

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

a/b < d

-1.25/1 < 1.25

-1.25 < 1.25

Thus, this is true

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Hence, Answer is [D] a/b < d

[RevyBreeze]

Answer:

3 and 7

1 and 4

Step-by-step explanation:

[3 and 7]

These two angles are prooved congruent by corresponding angles

[1 and 4]

These two angles are prooved congruent by opposite vertical angles.

The probability of getting exactly 4 heads is 0.23.

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event.

Let p represents the probability of getting head in a toss of a fair coin, so

[tex]\rm P=\dfrac{1}{2}\\\\q=1-p\\\\q=1-\dfrac{1}{2}\\\\q=\dfrac{1}{2}[/tex]

Let X denote the random variable representing the number of heads in 6 tosses of a coin.

The probability of getting r sixes in n tosses of a fair is given by,

Probability of getting 4 heads :

[tex]\rm P(X=3)=^6C_4\times \left ( \dfrac{1}{2} \right )^4 \times \left ( \dfrac{1}{2} \right )^{6-4}\\\\P(X=3)=15 \times \dfrac{1}{16} \times \left ( \dfrac{1}{2} \right )^{2}\\\\P(X=3)=15 \times \dfrac{1}{16} \times \dfrac{1}{4}\\\\= 0.23[/tex]

Hence, the probability of getting exactly 4 heads is 0.23.

To know more about probability click the link given below.

https://brainly.com/question/11234923

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