Kiara spent $36 and had $12 left.

what percent money did she spend

Answer:

The first one

Step-by-step explanation:

She cant buy anything over $15, but she can buy something thats $15 :))

43112

its a random number

Answer:

The solution to this expression is 61,224.74

Step-by-step explanation:

To solve we initially have to convert the percentage to a decimal:

\(1.8\% = \frac{1.8}{100} = 0.018\)

So

56000*(1+1.8%)^5 = 56000(1+0.018)^5 = 56000(1.018)^5 = 61,224.74

The solution to this expression is 61,224.74

Answer:

WT=63

Step-by-step explanation:

\( \frac{56}{5 \times x + 3} = \frac{40}{4 \times x - 3} \\ x = 12\)

So

\(5 \times x + 3 = 5 \times 12 + 3 = 63\)

Answer:

x = 21°, y = 42°, TQ = 3.75 cm

Step-by-step explanation:

In Δ SRT

∵ m∠RST = 21°, m∠STR = 117°

∵ The sum of the measures of the interior angles of a triangle is 180°

∴ m∠RST + m∠STR + m∠SRT = 180°

∴ 21° + 117° + m∠SRT = 180°

→ Add the like angles

∴ 138° + m∠SRT = 180°

→ Subtract 138° from both sides

∴ m∠SRT = 42°

In the given circle

∵ ∠SRP and ∠SQP are inscribed angles subtended by the arc SP

→ Inscribed angles subtended by the same arc are equal in measures

∴ m∠SRP = m∠SQP ⇒ (1)

∵ m∠SRP = 42° , m∠SQP = y

∴ y = 42°

∵ ∠RSQ and ∠RPQ are inscribed angles subtended by the arc RQ

→ Inscribed angles subtended by the same arc are equal in measures

∴ m∠RSQ = m∠RPQ ⇒ (2)

∵ m∠RSQ = 21° , m∠RPQ = x

∴ x = 21°

∵ The chord SQ intersects the chord PR at the point T

∴ ∠STR and ∠PTR are vertically opposite angles

→ The vertically opposite angles are equal in measures

∴ m∠STR = m∠PTR ⇒ (3)

→ From (1), (2), and (3) the two triangles SRT and PQT are similar using

  AAA postulate of similarity

∴ Δ SRT ≈ ΔPQT ⇒ AAA postulate

∴ Their sides are proportion

∴ \(\frac{SR}{PQ}=\frac{RT}{TQ}=\frac{ST}{PT}\)

∵ SR = 8.32 cm, PQ = 9.43 cm, RT = 3.31 cm

→ Substitute them in the ratio above

∴ \(\frac{8.32}{9.43}=\frac{3.31}{TQ}\)

→ By using cross multiplication

∴ TQ × 8.32 = 9.43 × 3.31

→ Divide both sides by 8.32 to find TQ

∴ TQ = \(\frac{(9.43)(3.31)}{8.32}\)

∴ TQ = 3.751598558

→ Round it to 2 d.p

∴ TQ = 3.75 cm

Step-by-step explanation:

Degree

1. 1

2. 1

3. 1

4. 2

5. 2

Yes or No

1. Yes (M: 7 B: 10)

2. Yes (M: 1 B: -3)

3. Yes (M: 6 B: 0)

4. No

5. No

Step-by-step explanation:

1 yes 7 10

1 yes 1 -3

1 yes 6 0

2 no

2 no

Answer:

11.58 years

6.82 years

Step-by-step explanation:

Compound interest can be represented as: \(A=P(1+\frac{r}{n})^{nt}\) where P = initial amount, r=interest rate, n=compounds in each time unit, t = time (usually years)

If you think about it the: \((1+\frac{r}{n}})^{nt}\) represents the overall interest being applied to the principal amount.

This would have to be equal to 2, for it to be doubled, so let's set that equal to 2

\(2=(1+\frac{r}{n})^{nt}\)

Now let's solve for "t", first let's take the log of both sides

\(log(2)=log([1+\frac{r}{n}]^{nt})\)

Now let's use log properties, specifically the exponent one to rewrite

\(log(2)=nt *log(1+\frac{r}{n})\)

Now divide both sides by the log(1 + r/n) and n

\(t=\frac{log(2)}{n*log(1+\frac{r}{n})}\)

Our "n" is going to be the same for both equations, 12 since it's compounded monthly

The interest will be a bit different, but in the first case it will be 6% which is 0.06

\(t=\frac{log(2)}{12*log(1+\frac{0.06}{12})}\)

simplifying this we get

\(t\approx11.581\)

Rounding this we get: \(t=11.58\)

Now let's do this to the other equation:

\(t=\frac{log(2)}{12*log(1+\frac{0.102}{12})}\)

simplifying this we get:

\(t\approx 6.824\)

approximately 6.82

Answer:

3:1

Step-by-step explanation:

Subtract to find the number of students who selected the vegetarian sandwich choice:

24 – 18 = 6 students.

The ratio of turkey sandwiches to vegetarian sandwiches is 18 : 6.

Then divide both sides by 6 to simplify this ratio to 3 : 1.

Answer:

led the United States into the worst economic depression it had experienced up to that point in its history. Following the collapse of several Wall Street brokerage houses, over 600 banks and 16,000 businesses failed by the end of the year.

Answer:

The box weighs 220 grams.

Step-by-step explanation:

Since the box full of chocolates weighs 480 grams, and the same box full of mints weighs 350, the weight difference between them is 130 grams. According to the statement, the quantity of chocolate weighs twice that of mint, while the weight of the box does not vary.

Therefore, since chocolate weighs twice as much as mints, and the weight is reduced by 130 grams, that is the difference in weight between the two, with which chocolate weighs 260 grams and mints 130 grams.

Therefore, the box weighs 220 grams: 220 + 130 = 350, and 220 + 260 = 480.

Answer:

190 cans

Step-by-step explanation:

Total cans collected by Jacob and Dustin for the school can job = 245

Amount of cans they both gave to Dustin's little sister = 55

Now because they gave out cast out of the total they initially had, there would be a deduction in the amount both boys would now have.

To determine the amount the boys are left with, we would deduct 55 casts from the amount they had which 245.

Amount of cans left = 245-55 = 190

Amount of cans left for the boys class = 190 cans

Answer:x=15

Step-by-step explanation:

The solution and graph of each of the inequalities is shown below:

In Mathematics and Geometry, an inequality simply refers to a mathematical relation that is typically used for comparing two (2) or more numerical data and variables in an algebraic equation based on any of the inequality symbols;

Next, we would determine the solution for each of the inequalities as follows;

k + 7 ≥ 11

k ≥ 11 - 7

k ≥ 4

5 > v - 12

5 + 12 > v

17 > v

v < 17 (flip).

-5x ≤ -30

x ≤ 6

y/4 > 2

y > 2(4)

y > 8

10g + 19 > 49

10g > 49 - 19

10g > 39

g > 3.9

-w - 7 > 0

-w > 7

w > -7

Read more on inequality here: brainly.com/question/27976143

#SPJ1

Answer:

1017.88cm³

Step-by-step explanation:

The volume of cone will be;

⇒ V = 11,445.3 cm³

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

A cone has a radius of 9 cm and a slant height of 15 cm.

Now,

Since, Radius of cone (r) = 9 cm

Slant height (h) = 15 cm

We know that;

⇒ The volume of cone (V) = π r³ h / 3

Substitute all the values, we get;

⇒ V = 3.14 × 9³ × 15/3

⇒ V = 3.14 × 729 × 5

⇒ V = 11,445.3 cm³

Thus, The volume of cone = 11,445.3 cm³

Learn more about the multiplication visit:

https://brainly.com/question/28768606

#SPJ2

We can start by finding the equation of the line passing through the given points. Using the point-slope form of the equation of a line, we have:

y - y1 = m(x - x1)

y - (-1) = (1 - (-1)) / (-4 - (-3)) * (x - (-4))

y + 1 = 2(x + 4)

y = 2x + 9

The graph of the line passes through the points (-4, -1), (-3, 1), (-2, 3), (-1, 5), (0, 7), and so on.

To find the equation of the function g(x) = f(x+3), we can substitute x+3 for x in the equation of the line, which gives:

y = 2(x+3) + 9

y = 2x + 15

This is the equation of a line with slope 2 and y-intercept 15. We can use this equation to answer the questions:

The value of g(-5) is 3:

To find g(-5), we substitute x = -5 into the equation of g(x):

g(-5) = 2(-5) + 15 = 5

Therefore, the statement "The value of g(-5) is 3" is false.

The value of g(-1) is 2:

To find g(-1), we substitute x = -1 into the equation of g(x):

g(-1) = 2(-1) + 15 = 13

Therefore, the statement "The value of g(-1) is 2" is false.

The x-intercept of g(x) is to the left of the x-intercept of f(x):

The x-intercept of f(x) is approximately (-4.5, 0). To find the x-intercept of g(x), we set y = 0 in the equation of g(x):

0 = 2x + 15

x = -7.5

Therefore, the x-intercept of g(x) is to the left of the x-intercept of f(x), and the statement "The x-intercept of g(x) is to the left of the x-intercept of f(x)" is true.

To know more about point-slope form , check out :

https://brainly.com/question/24907633

#SPJ1

The zeroes of the polynomial are x=3, x=-5 and x=3/5

The locations where a polynomial becomes zero overall are known as the zeros of the polynomial. The term "zero polynomial" refers to a polynomial with a value of zero . The highest power of the variable x is referred to as a polynomial's degree. A linear polynomial is a polynomial with degree 1.

Given:

f(x)=5x³+7x²−81x+45.

let us take x= 3

5(27)+7(9)-81(3)+45

=135+63-243+45

= 243-243

=0

So, 3 is a root of polynomial and x-3 is factor of Polynomial.

Now, divide 5x³+7x²−81x+45 by x-3 we get 5x²+22x-15

Now, factorise 5x²+22x-15.

= 5x²+25x-3x-15

= 5x( x+ 5) - 3(x+ 5)

= (5x - 3)( x+ 5)

Then, x= 3/5 and 5

Hence, the zeroes of the polynomial are x=3, x=-5 and x=3/5

Learn more about Zeroes of the Polynomial here:

https://brainly.com/question/10702726

#SPJ1

The percent of the bags of chips weigh less than 176 grams is b 16%

From the question, we have the following parameters that can be used in our computation:

Mean = 180

Standard deviation = 4

Bags of chips weigh less than 176 grams

This means that

x = 176

So, the z-score is

z = (176 - 180)/4

Evaluate

z = -1

The percent of the bags of chips weigh less than 176 grams is represented as

P = P(z < -1)

Using a graphing calculator, we have

Percentage = 0.15866

So, we have

Percentage = 16%

Hence , the percentage is 16%

Read mroe about z-scores at

brainly.com/question/25638875

#SPJ1

Answer:

\( cos(45 - \alpha ) - \sin(45 - \alpha )\)

Answer:

452.16

Step-by-step explanation:

Simple, To the center is 6 and we are trying to find the circumference, So 6 x 6 = 36 then multiply it by pi (3.14) and we get 113.04 and it rotates 4 times so then we need to multiply 113.04 x 4 which is 452.16

Answer: 149 cartridges will be sold at 20 dollars per cartridge.

Step-by-step explanation:

Given: The projected sales volume of a video game cartridge is given by the function \(s(p)=\dfrac{3000}{2p+a}\), where s is the number of cartridges sold, in thousands; p is the price per cartridge, in dollars; and a is a constant.

Put s(p)=100000, p= 10, we get

\(100000=\dfrac{3000}{2(10)+a}\\\\\Rightarrow\ 100=\dfrac{3}{20+a}\\\\\Rightarrow\ 100(20+a)=3\\\\\Rightarrow\ 2000+100a=3\\\\\Rightarrow\ 100a=-1997\\\\\Rightarrow\ a=-19.97\)

i.e. \(s(p)=\dfrac{3000}{2p-19.97}\)

Put p=20, we get

\(s(20)=\dfrac{3000}{2(20)-19.97}\\\\=\dfrac{3000}{40-19.97}\\\\=\dfrac{3000}{20.03}\approx149\)

Hence, 149 cartridges will be sold at 20 dollars per cartridge.

Answer:

25m=c is the right answer

Answer:

At least 11 shelves are needed for all the juice boxes.

Step-by-step explanation:

Given that:

Boxes of orange juice = 32

Boxes of apple juice = 56

Total boxes = 32+56 = 88

As one shelf can hold 8 boxes of juice.

Number of shelves = \(\frac{88}{8}\)

Number of shelves = 11

Hence,

At least 11 shelves are needed for all the juice boxes.

For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.

To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:

Step 1: Calculate 3/4 of 560:

3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420

Step 2: Calculate 2/3 of the result from Step 1:

2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280

Step 3: Calculate 3/5 of the result from Step 2:

3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168

Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.

Find out more on fractions here: https://brainly.com/question/78672

#SPJ1

Answer:

T is correct (the fourth answer)

Step-by-step explanation:

Step-by-step explanation:

I believe it's graph T..

Answer:

$41.69

Step-by-step explanation:

The computation of the selling price of the each pair of slacks is as follows:

Given that

Cost = $19.36 per pair  

Markup = $22.33

As we know that  

Markup = Sell Price - Cost

So,  

Sell Price = Cost + Markup

= $19.36 + $22.33

= $41.69

Hence, the selling price is $41.69

The reference angle for the angle with the measure 2x/3 is 54⁰

You should understand that a reference angle is the acute angle to a given angle.

The given angle is 2x/3

We should understand that since the angle has the variable x

= x + 2x/3 = 90⁰

Simplifying the fraction to have

(3x+2x)/3 = 90

Cross and multiply we have 5x=270⁰

Making x the subject

x= 270/5

x=54⁰

Therefore, the reference angle with the measure 2x/3 is = 54⁰

Learn more about reference angles on https://brainly.com/question/1603873

#SPJ1

Answer: 4x + 8z + 6

Step-by-step explanation: 8x + (-4x) = 4x , 5z + 3z = 8z. 4x + 8z + 6