50 Points! Multiple choice geometry question. Photo attached. Thank you!

Using the expression 5x/12 = 20, the amount that A originally had was $48.

We have,

Let x be the amount of money that A originally had.

Then, A gave away 1/2 x 1/3 = 1/6 of the amount, which is equal to x/6.

The amount received by B is 1/2 of the remaining amount,

which is (x - x/6)/2 = 5x/12.

We know that 5x/12 = 20,

Solving for x.

5x/12 = 20

5x = 240

x = 48

Therefore,

The amount that A originally had was $48.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ1

a) The initial deposit in the account is given as follows: 1,287.39 euros.

b) The interest rate of the account is given as follows: 3%.

The equation that gives the balance of an account after t years, considering simple interest, is modeled as follows:

A(t) = P(1 + rt).

In which the parameters of the equation are listed and explained as follows:

Considering the balances after 5 and 6 years, the interest rate is obtained as follows:

r = 1524.60/1480.50 - 1

r = 0.03.

Considering the balance after 5 years, the initial deposit is obtained as follows:

P(1 + 0.03 x 5) = 1480.5

P = 1480.5/1.15

P = 1,287.39 euros.

More can be learned about simple interest at https://brainly.com/question/20690803

#SPJ1

Answer:

Interval Data

Step-by-step explanation:

Interval data are classified as such because they have a definite ordering and the differences between data sets can be determined and measured. This is applied in the measurement of temperature readings.

The data provided in the example can be ordered from lowest to highest and vice versa and the differences between the temperature ranges can be measured. For example, the difference between 76 degrees fahrenheit and 71 degrees fahrenheit is 5 degrees fahrenheit. However, comparisons in the form of ratios are not done with the temperature readings in the interval scale.

Answer:

seven billion three hundred million (7.5B)

(7,500,000,000)

Step-by-step explanation:

Answer:

7,300,000,000

Step-by-step explanation:

7,800,000,000-500,000,000

$3,244.21 can be withdrawn each month for 25 years, assuming an interest rate of 7% and a starting principal of $500,000.

PV = PMT × [1 - (1 + r)⁻ⁿ] / r

where:

PV is the present value of the annuity

PMT is the payment amount per period

r is the interest rate per period

n is the total number of periods

In this case, we want to withdraw a fixed amount each month for 25 years, which represents 12 ×25 = 300 periods.

The interest rate per period is 7% / 12 = 0.5833%.

Let's assume that you want to withdraw a fixed amount each month, and you want the withdrawals to last for 25 years. To calculate the amount you can withdraw each month,

PV = PMT × [1 - (1 + r)⁻ⁿ] / r

500,000 = PMT × [1 - (1 + 0.005833)⁻³⁰⁰] / 0.005833

Solving for PMT, we get:

PMT = PV × r / [1 - (1 + r)⁻ⁿ]

PMT = 500,000 × 0.005833 / [1 - (1 + 0.005833)⁻³⁰⁰]

PMT = $3,244.21

Therefore, you can withdraw $3,244.21 each month for 25 years, assuming an interest rate of 7% and a starting principal of $500,000.

To know more about interest, visit:

https://brainly.com/question/30393144

#SPJ1

Angles of similar triangles are always congruent a: 63, b: 88, c: 29 and x = 53.75

Based on the information available, there are numerous equations for calculating the area of a triangle. As indicated in the calculator above, please use the Triangle formula for additional information and equations for calculating the area of a triangle as well as determining the sides of a triangle using whatever information is available.

find the ratio between the two triangles:

40 on the left corresponds to 50 on the right = 40/50 = 43/x

to find x:

40x = 43 × 50

40x = 215

x = 215/40

x = 53.75

"angles of similar triangles are always congruent."

a: 63

b: 88

c: 29

To learn more about Angle refers to;

https://brainly.com/question/29452561

#SPJ1

Full question:

Given a pair of similar triangles, find the missing length x and the missing angles A, B, and C.

The width of the river using the similar triangle is 43.3 metres.

The surveyor wants to determine the width of the river . Let's use the pair of similar triangle to find the width of the river.

Therefore, two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion.

Hence, let's find the width of the river.

Therefore,

18.6 / 34.2 = AB / 79.6

cross multiply

18.6 × 79.6 = 34.2 AB

34.2 AB = 1480.56

divide both sides of the equation by 34.2

AB = 1480.56 / 34.2

AB = 43.2912280702

AB = 43.3 metres

learn more on similar triangle here: https://brainly.com/question/29191745

#SPJ1

Point H is the ortho-center of our given triangle and option c is the correct choice.

We have been given an image of a triangle. We are asked to find the term that describes point H.

We can see that point H is the point, where, all the altitudes of our given triangle EFF are intersecting.

We know that ortho-center of a triangle is the point, where all altitudes of triangle intersect. Therefore, point H is the ortho-center of our given triangle and option c is the correct choice.

for such more question on ortho-center

https://brainly.com/question/7552525

#SPJ8

The inequality in slope intercept form is –y≥19x+11

What is slope intercept?

Slope intercept form is defined as the graph of linear equation y=mx+b where m and b as the y-intercept.

What is inequality?

Inequality is an equation that is used to show the non equal comparison of two or more numbers and variables.

Given inequality is 19x+y≤-11

To solve this inequality in y form, we will subtract 19x from both side, we get

y≤-11-19x

Now, we will take minus sign common,

-y≥19x+11

Hence, the required answer.

To know more about inequality and slope intercept form, visit:

https://brainly.com/question/16914953

https://brainly.com/question/306928

#SPJ9

\(-2x+6=12\\2x=-6\\x=-3\)

Answer: can it be a bit clearer pls?

Step-by-step explanation:

ANSWER

EXPLANATION;

Given that

The intial value of the ferrets is 6

The increase rate is 3

Follow the steps below

Recall, that the standard form of an exponential function is given below

Where

a = initial value

b = ratio

Therefore, the correct answer is 6 (3)^x

Answer:

(y^3-2)(x^2-2)

Step-by-step explanation:

x^2y^3-2y^3 can be factored. This will be equal to y^3(x^2-2). Then for the other half it will be equal to -2(x^2-2). Because the insides are the same, the equation is the outside two number y^3 and -2 added together time the inside number x^2-2. This will make the expression (y^3-2)(x^2-2).

If this helps please mark as brainliest

Answer:

\(\log _8\left(\frac{1}{8}\right)=-1\)

Step-by-step explanation:

\({\huge{\boxed{\mathbb{QUESTION}}}\)

Write the equation in logarithmic form.

\(8^{-1}=\frac{1}{8}\)

Definition of logarithmic form

⇒\(a^n=b\quad \Rightarrow \quad \log _ab=n\)

___________________________

___________________________

Plug in the values

\(8^{-1}=\frac{1}{8} \quad \Rightarrow \quad \log _8\frac{1}{8} =-1\)

\({\huge{\boxed{\mathbb{ANSWER}}}\)

\(\quad \log _8(\frac{1}{8}) =-1\)

Answer:

$11468.52

Step-by-step explanation:

Given data

Principal= $6,082

Rate= 5%

time= 13 years

The expression for compound interest is

A= P(1+r)^t

substitute

A=6082(1+0.05)^13

A=6082(1.05)^13

A=6082*1.885649

A=11468.52

Hence the Amount is $11468.52

Answer:

  a) 7 m

  b) 22 cm

Step-by-step explanation:

Given plans at a scale of 1 : 50, you want (a) the actual length corresponding to a plan length of 14 cm, and (b) the plan length corresponding to an actual length of 11 m.

The actual lengths are wanted in meters, so we can rewrite the scale to translate between plan cm and actual m.

  plan : actual = 1 cm : 50 cm

  = 1 cm : 0.5 m

  = 2 cm : 1 m

Multiplying the scale by 7, we have ...

  2 cm : 1 m = 14 cm : 7 m

The actual length is 7 meters.

Multiplying the scale by 11, we have ...

  2 cm : 1 m = 22 cm : 11 m

The plan length is 22 cm.

Answer:

1/720

Step-by-step explanation:

Multiply 60 times 60 because there are 60 seconds in a minute and 60 minutes in an hour.

now you have 3600 and if you put 5 over it it equals 1/720.

The margin of error is defined as follows:

M = 1.9z/sqrt(n).

In which:

The bounds of the confidence interval are given as follows:

\(\overline{x} \pm z\frac{\sigma}{\sqrt{n}}\)

In which:

The margin of error is then given as follows:

\(M = z\frac{\sigma}{\sqrt{n}}\)

The problem is incomplete, hence the general procedure to obtain the sample size was presented.

More can be learned about the z-distribution at https://brainly.com/question/25890103

#SPJ1

The recursive formula for this problem is given as follows:

\(P_n = 1.05 \times P_{n - 1}\)

The explicit formula for this problem is given as follows:

\(P_n = 150(1.05)^n\)

The number of tickets in 2026 is given as follows:

297 tickets.

A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number which is defined as the common ratio q.

The explicit formula of the sequence is given as follows:

\(a_n = a_1q^{n}\)

In which \(a_1\) is the first term.

The parameter values for this problem are given as follows:

\(a_1 = 150, q = 1.05\)

Hence the function is given as follows:

\(P_n = 150(1.05)^n\)

2026 is 14 years after 2012, hence the number of tickets is given as follows:

\(P_{14} = 150(1.05)^{14} = 297\)

More can be learned about geometric sequences at https://brainly.com/question/24643676

#SPJ1

Answer:

16.75

Step-by-step explanation:

The mean of a set of numbers is the sum divided by the number of terms.

Answer:

16.8125 or 16.8

Step-by-step explanation:

Answer:

(-3,-0.5)

Step-by-step explanation:

Answer:

your answer is -3, -0.5

Step-by-step explanation:

Answer:

\(y : \frac{1}{5} x + \frac{12}{5}\)

Step-by-step explanation:

the slope of the line AC :

\(\frac{6-1}{1-2} = \frac{5}{-1} =-5\)

Let y : mx + p be the equation of the line D passing through B and perpendicular to AC.

Where m is the slope and p is the y value of the y intercept point.

The line D is perpendicular to AC means the product of their slopes is −1

Therefore

(−5) × m = −1

Then

\(m=\frac{-1}{-5} =\frac{1}{5}\)

We obtain, the equation of D is :

\(y : \frac{1}{5} x + p\)

At this point ,we still need the value of p to get the full equation of D.

B(3, 3)∈ D

\(3=\frac{1}{5} \left( 3\right) +p\)

\(\Longleftrightarrow p=3-\frac{3}{5} =\frac{12}{5} =2.4\)

thus , the equation of D is :

\(y : \frac{1}{5} x + \frac{12}{5}\)

Yes it's possible through matrix

Let's find out the area formula for our vertices

That's

\(\\ \rm\Rrightarrow \left|\begin{array}{ccc}\rm 2&\rm 1&\rm 1\\ \rm 3&\rm 3&\rm 1\\ \rm 1&\rm 6&\rm 1\end{array}\right|\)

The determinant values modulus is the area

Slope of AC

Perpendicular lines have slopes negative reciprocal to each other

So

Equation in point slope

Answer:

A rectangle of 10.6 x 11.4 dimensions.

Step-by-step explanation:

(5.3*2)*(5.7*2)=5.3*4*5.7=10.6x11.4.

Area

B

\(\\ \sf{:}\dashrightarrow \dfrac{w^2}{25}+45w+155\)

\(\\ \sf{:}\dashrightarrow \dfrac{52}{25}+45(52)+155\)

\(\\ \sf{:}\dashrightarrow \dfrac{52}{25}+2340+155\)

\(\\ \sf{:}\dashrightarrow \dfrac{52}{25}+2495\)

\(\\ \sf{:}\dashrightarrow 2+2495=2498\)

Answer:

38 i think i hope this helps

Answer:

The expanded form is y=716x7

Step-by-step explanation:

Expanded form or expanded notation is a way of writing numbers to see the math value of individual digits. When numbers are separated into individual place values and decimal places they can also form a mathematical expression. 5,325 in expanded notation form is 5,000 + 300 + 20 + 5 = 5,325.

Answer:

Step-by-step explanation:

It’s a repeating pattern.

i² = -1

i³ =(i²)i = (-1)i = -i

i⁴ = i³i = -i² = 1

i⁵ = (i⁴)i = (1)i = i

i⁶ = i⁵i = i² = -1

...

i¹⁷ = i

The value for \(i^{17}\) is i.

An imaginary number is denoted by i.

The value of i is √-1.

We have,

i = √-1

i² = -1

i³ = (i²)i = (-1)i = -i

i⁴ = i³i = -i² = 1

i⁵ = (i⁴)i = (1)i = i

i⁶ = i⁵i = i² = -1

We see that,

If the power is an even number we get 1 and -1.

If the power is an odd number we get i and -i.

Thus,

i¹⁷ = i

Learn more about imaginary numbers here:

https://brainly.com/question/6748860

#SPJ2

Answer:

B

Step-by-step explanation:

i got it right