The amount of money an engineer receives from a bank if he invests $50,000 for 7 years at 11.5% per annum compound interest.


Answers

Answer 1

Answer:

$107125.80

working out:

50000x1.115^7=107125.8 (rounded)


Related Questions

please help I need help on how to do it also my videos stopped working

Answers

20 shares purchased at $30, means that the initial inversion is 20 times 30 = $600

they are sold for $710, so the difference is 710 - 600 = 110

the commision is 6, so the final gain is 110 -6 =104

profit divided by the inversion:

104/600 = 0.1733

the answer is 17.33 %

-6 = -2/5y solve for y and simplify your answer as much as possible

Answers

Answer: y = 15

Step-by-step explanation:

Combine multiplied terms into a single fraction

-6 = -2y/5

Then, multiply both sides by 5 to get:

-30 = -2y

Last, you divide both sides by -2 to get:

15 = y or y = 15

Hope this helps!

Draw of a modelled object

Where do I put the dots at

Answers

Send a better quality picture it’s too blurry

In the expression 29 divided by 9 x 3 - 4 x 2 which operation would you complete first? Why?

Answers

Answer:

You would do 9 x 3 first.

Step-by-step explanation:

PEMDAS. There is subtraction and multiplication, and multiplication is before subtraction.

P- Parenthesis

E- Exponent

M- Multiplication

D- Division

A- Addition

S- Subtraction

 Hope this helps!!! 〜( ̄▽ ̄〜)

Please help!! Ignore the X on A!

Answers

Answer:

AC= 3.2

Step-by-step explanation:

two trianglesare similar

so AC : BC = DF : EF

AC : 4 = 3:2.4

4×3.2 = AC×4

12.8=4×AC >>>> (÷4) both sides

3.2= AC

When you open credit cards at a bank, you initiate a hard inquiry once you apply for credit. If you are approved for a credit card, this counts as a new account. Having too many hard inquiries and new accounts on your credit report lowers your credit score, so you’ll want to be judicious when you apply for additional lines of credit. Let’s say you’re interested in the following credit cards: •Chase Sapphire Reserve•Wells Fargo Propel Card•American Express Blue Cash Everyday •Citi Double Cash Card•Chase Freedom•Chase Amazon Prime Rewards Card•Bank of America Cash Rewards Visa•American Express Platinum Answer the following questions below (show work as applicable, using factorial notation if necessary):Scenario 2: Imagine you would like to apply for three of these credit cards. How many different ways could you apply for three credit cards out of this group, without taking order into account? _____________

Answers

Given the credit card options:

• Chase Sapphire Reserve

• Wells Fargo Propel Card

• American Express Blue Cash Everyday

• Citi Double Cash Card

• Chase Freedom

• Chase Amazon Prime Rewards Card

• Bank of America Cash Rewards Visa

• American Express Platinum

Then, there are 8 options.

If you want to apply for 3 credit cards and the order does not matter, you can use combination to see how many options you have.

The formula for combination of r elements out n elements is:

[tex]C(n,r)=\frac{n!}{(n-r)!*r!}[/tex]

In this question:

n = 8

r = 3

[tex]\begin{gathered} C(n,r)=\frac{8!}{(8-3)!*3!} \\ C(n,r)=\frac{8!}{5!*3!} \\ C(n,r)=\frac{8*7*6*5!}{5!*3*2} \\ C(n,r)=\frac{8*7*6}{3*2} \\ C(n,r)=56 \end{gathered}[/tex]

Answer: 56 ways.

Model car is a 1/40 scale model expressed as a ratio

Answers

Answer:1:40

Step-by-step explanation:

the answer should be 1:40

I am not sure how to find out if the number is an integer or not I don’t need you to answer all those number that are in the pic I want to understand how to figure that out on my own

Answers

An integer number is a number that can be written without using a rational component. In other words, if a number can be written without using a fraction, then that number is considered an integer.

For example, let's take the first number:

[tex]-\frac{64}{8}[/tex]

This number is written as a fraction. But, this is also equivalent to:

[tex]-\frac{64}{8}=-8[/tex]

Since it can also be written without making use of a fraction then this number is an integer.

Also, there are numbers that are written in decimal form. For example:

[tex]-8.92[/tex]

These types of numbers are not integers.

Solve the inequality for x. Show each step of the solution.

12(x+3)>4x-8

Answers

Answer:

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

12x+36>4x−8

Step 2: Subtract 4x from both sides.

12x+36−4x>4x−8−4x

8x+36>−8

Step 3: Subtract 36 from both sides.

8x+36−36>−8−36

8x>−44

Step 4: Divide both sides by 8.

8x/8 > -44/8

Therefore your answer will now equal  [tex]x > \frac{-11}{2}[/tex]

[tex]{ \boxed{ \pink{ \sf{x > - \frac{11}{2}}}}}[/tex]

Step-by-step explanation:

The given inequality is, [tex]{ \green{ \sf{12(x + 3) > 4x - 8}}}[/tex]

[tex]{ \star}[/tex]Step 1: Simplify both the sides of inequality.

[tex]{ \green{ \sf{12x + 36 > 4x - 8}}}[/tex]

[tex]{ \star}[/tex]Step 2: Now Subtract 4x from both sides.

[tex]{ \purple{ \sf{12x+36−4x> { \cancel{4x}−8{ \cancel{−4x}}}}}}[/tex]

[tex]{ \purple{ \sf{8x+36>−8}}}[/tex]

[tex]{ \star}[/tex]Step 3: Subtract 36 from both sides.

[tex]{ \blue{ \sf{8x+{ \cancel{36}{ \cancel{−36}}}>−8−36}}}[/tex]

[tex]{ \blue{ \sf{8x>−44}}}[/tex]

[tex]{ \star}[/tex]Step 4: Divide both sides by 8.

[tex]{ \orange{ \sf{ \frac{ \cancel8}{ \cancel8} x > - \frac{ \cancel{44^{ \blue{ \tt{11}}}} }{ \cancel8_{ \blue{ \tt{2}}} }}}} [/tex]

[tex]{ \boxed{ \red{ \sf{x > - \frac{11}{2}}}}} [/tex]

Solve: -3+12x=-3x+27

Answers

Your answer is 10/3 or 3 1/3 or 3.333inf

Answer:

the answer is 2 and one fourth

Step-by-step explanation:

because the 3s cancel out

Gwen says that the sum of -1 3/4 and 2 1/2 is the same as the difference between 2 1/2 and 1 3/4 is Gwen correct explain why or why not

Answers

The sum of  -1  and 3/4 and 2 and 1/2 is the same as the difference between 2 and 1/2 and 1 and 3/4.

First we will convert the mixed fractions into improper fractions.

-1 and 3/4 = -7/4

2 and 1/2 = 5/2

Sum of -1 and 3/4 and 2 and 1/2 = -7/4 + 5/2 = -7/4 + 10/4 = 3/4

Difference between  2 and 1/2 and 1 and 3/4 = 5/2 - 7/4 = 10/4 - 7/4 = 3/4

As both the values equal to 3/4 , we can say that the sum of  -1  and 3/4 and 2 and 1/2 is the same as the difference between 2 and 1/2 and 1 and 3/4.

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evaluate (8+2)³-6 pla help me thanks

Answers

Answer:

994

Step-by-step explanation:

work inside the parenthesis first. 8+2 = 10 then raise 10 to the power of 3 which is 1000. subtract 6 from 1000 & you get 994

Answer:

994

Step-by-step explanation:

PEDMAS

Do the math inside the parentheses first

8+2 = 10         Now do the exponent    10^3 = 1000   Now subtract 6  = 994

helppp !!!!!


given a circle with a diameter of eight what is the circumference?

Answers

Answer:

D

Step-by-step explanation:

the circumference (C) of a circle is calculated as

C = πd ( d is the diameter ) , then

C = π × 8 = 8π

Answer: C=2pir or diameter(pi)

Step-by-step explanation:

The diameter of a circle stretches from one side to the other, the Radius (r) goes from the center to the side meaning it is twice the diameter.

To solve this just half the diameter and insert it into the first equation or just plug it in for diameter.

The answer is

D. 8pi

19. What is the mode of the following numbers?
12, 11, 14, 10, 8, 13, 11, 9
a. 11
b. 10
C. 14
d. 8

Answers

Answer:

a. 11

Step-by-step explanation:

What is the mode of the following numbers?

12, 11, 14, 10, 8, 13, 11, 9

a. 11

b. 10

C. 14

d. 8

the mode is 11 because it is the most frequent number in the list.

Answer is: A. 11
Hope this helps

i need help on 8 I will provide I bigger picture

Answers

[tex]\measuredangle BCE=30[/tex]

Explanation

Step 1

the sum of the internal angles in a triangle equals 180, then

for triangle CDE

[tex]\begin{gathered} rigth\text{ angle+blue angle+yellow angle=180} \\ \text{replace } \\ 90+10+\measuredangle\text{EDC}=180 \\ 100+\measuredangle\text{EDC}=180 \\ \text{subtract 100 }in\text{ both sides} \\ 100+\measuredangle\text{EDC-100}=180-100 \\ \measuredangle\text{EDC}=80 \end{gathered}[/tex]

Step 2

as we can see, in poitn c, we have a 180 degrees angle(ACD)

so

[tex]\begin{gathered} \text{red angle+gre}enangle+yellow\text{ angle}=180 \\ \text{replace} \\ 70+\measuredangle BCE+\measuredangle EDC=180 \\ 70+\measuredangle BCE+80=180 \\ 150+\measuredangle BCE=180 \\ \text{subtract 150 in both sides} \\ 150+\measuredangle BCE-150=180-150 \\ \measuredangle BCE=30 \end{gathered}[/tex]

I hope this helps you

A bag contains 3 red, 4blue, 4 yellow, and 5 green marbles only yellow marbles will be added tp the bag. how many yellow marbles should be added to the bag to make the probability of choosing yellow marble 1/3?

Answers

Two yellow marbles are added to the bag to make the probability of choosing a yellow marble 1/3 .

There is a bag containing five green marbles, three red marbles, and four blue marbles and four yellow marbles.

The probability that a given event will happen is expressed as a number between 0 and 1 where 0 means there is no chance of the event occurring and 1 means that the outcome is certain.

There are a total of 16 marbles in the bag (5 + 3+ 4+4 = 16). This means that the probability of drawing a marble of a particular color is the number of marbles of that color divided by the total number of marbles in the bag.

Let ‘x’ number of additional yellow marbles be added to the bag.

Then, the required probability will be

(4 + x )/ (16+x ) = 1/3

=> 3(4+x) =16 +x

=> 12+3x = 16+x

=> 2x =4

=> x= 2

Hence, the required number of marbles is 2.

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BRO PLS HELP, I HAVE LIKE 20 MISSING ASSIGNMENTS
It should be easy lol

Answers

Answer:

B C and D

Step-by-step explanation:

Answer:

2π=6.2831853071795864769252867

Look at photo down below for question

Answers

The coordinates of the rotated triangle will be (2, - 2) , (3, -8) , (7, 0)

What is translation of graph?

Function translation takes a function (and its graph) and, by adding and subtraction, moves the graph around the plane without changing its shape.

Given is a triangle coordinate on x - y plane.

The rule (x, y) → (- x, - y) represents the rotation of a figure by 180 °.

Now, initially the coordinates of the triangle are -

(-2, 2) , (-3, 8) , (-7, 0)

After transforming the graph by the rotation of 180°, the new coordinates will be -

(2, - 2) , (3, -8) , (7, 0)

Plot the coordinates on the graph and you will get the rotated image.

Therefore, the coordinates of the rotated triangle will be (2, - 2) , (3, -8) , (7, 0).

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Write the equation of the line that passes through the points (3,1)(3,1) and (-7,-1)(−7,−1). Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.

Answers

Answer:

[tex]\textsf{Point-slope form}: \quad y-1=\dfrac{1}{5}(x-3)[/tex]

Step-by-step explanation:

Define the given points:

(x₁, y₁) = (3, 1)(x₂, y₂) = (-7, -1)

Substitute the defined points into the slope formula to find the slope of the line:

[tex]\implies \textsf{Slope $(m)$}=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-1-1}{-7-3}-\dfrac{-2}{-10}=\dfrac{1}{5}[/tex]

Substitute the found slope and one of the points into the point-slope formula:

[tex]\implies y-y_1=m(x-x_1)[/tex]

[tex]\implies y-1=\dfrac{1}{5}(x-3)[/tex]

Simplify to slope-intercept form, if necessary:

[tex]\implies y-1=\dfrac{1}{5}x-\dfrac{3}{5}[/tex]

[tex]\implies y=\dfrac{1}{5}x+\dfrac{2}{5}[/tex]

how would we name the polyonomial below?think about the degree and number term

Answers

We have the expression:

[tex](x+4)+(2x-7)[/tex]

Adding the parts with x and the parts without x we have:

[tex](x+2x)+(4-7)_{}[/tex]

Wich gives us:

[tex]3x\text{ - 3}[/tex]

Wich is a polinomial of first degree.

9TH GRADE MATH HELPPPP

Answers

Answer:

The equation in slope-intercept form is:

[tex]y=\frac{1}{3}x+3[/tex]

So the second option is the correct one.

Step-by-step explanation:

Step 1: Identify the gradient

The perpendicular line's equation is given as:

[tex]y=-3x+4[/tex]

This equation is in the form of:

[tex]y=mx+b[/tex]

Upon comparing the [tex]x[/tex] components of both equations, we get[tex]-3x=mx\\\text{Remove the}~ x~ \text{from both sides:}\\-3=m\\m=-3[/tex]

So, the gradient of this 'reference' equation is -3.

The equation we need to find is perpendicular to this 'reference' equation.

So, its gradient should be the negative reciprocal of the gradient of the 'reference' equation.

The negative reciprocal of -3 is:

[tex]-\frac{1}{(-3)}\\=\frac{1}{3}[/tex]

So, the gradient of our equation is [tex]\frac{1}{3}[/tex].

Step 2: Create the equation:

The equation crosses the x-axis at -9, which means its y-coordinate is 0 (at x-axis, y=0) ,so its coordinate is [tex](-9,0)[/tex].

The formula for an equation is:

[tex]y-y_{1}=m(x-x_{1})[/tex]

The coordinate [tex](x_{1},y_{1})[/tex] is [tex](-9,0)[/tex], and the gradient ([tex]m[/tex]) is [tex]\frac{1}{3}[/tex].

Substitute the values into the equation:

[tex]y-y_{1}=m(x-x_{1})\\y-0=\frac{1}{3}(x-(-9))\\\\\text{Simplify}\\y=\frac{1}{3}(x+9)[/tex]

[tex]\text{Simplify further}\\y=\frac{1}{3}x+3[/tex]

Since, the slope-intercept form is:

[tex]y=mx+b[/tex]

We already have our equation in the slope-intercept form.

assume that for any given day, the probability of a sunny day is 80%, the probability of getting free pizza is 30%, and the probability of getting free pizza on a sunny day is 35%. a. what is the probability of a less than ideal day (no free pizza and no sun)?

Answers

The probability of a less-than-ideal day (no free pizza and no sun) is 0.25

Let us define the events from the example.

Let event A: Sunny day for any given day

event B: Getting free pizza for any given day.

Now, we will translate the word problem into our symbols.

The probability of a sunny day is 80% i.e P(A)=0.8

The probability of free getting pizza is 30% i.e. P(B) = 0.3

The probability of free pizza and a sunny day is 35% .i.e P(A∩B) = 0.35

a)Complement means not happening an event i.e. event A’ : No sunny day for any given day event B’: Not getting day free pizza for any given.

Here dash ( ‘ ) complement.

The probability of a less-than-ideal day

(no free pizza and no sun) is

P(A'∩B') = P(A∪B)'... (De Morgan's Jaw)

De Morgan's law: (A∩B)'= A'∪B'

                             (A∪B)’ = A'∩B'

P(A'∩B') = 1-P(A∪B)    (P(A) = 1-P(A)).

= 1-[P(A) + P(B)-P(A∩B)]

= 1-[0.8+0.3-0.35]

P(A'∩B') = 0·25

The probability of a less-than-ideal day (no free pizza and no sun) is 0.25.

b)To check whether free pizza and sun are independent events or not, let us see when two events are said to be independent.

Two events (A & b) are said to be independent if P(A∩B) = P(A)· P(B)

Let us check whether this property satisfies our case or not.

LHS = P(A∩B)=0.35

RHS= P(A) P(B)

= 0.8 x 0.3

RHS = 0.24.

LHS ≠ RHS

P(ANB) ≠ P(A). P(B) in our case.

Two events A and B are not independent in our case

Sun and free pizza are not independent events.

c)Probability of no free pizza on a sunny day is P(A∩B').

P(A∩B') = P(A) - P(A∩B) = 0.8 0.35

P(A∩B') = 0·45

The probability of no free pizza on a sunny day is 0.45

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Determine whether the given value is from a discrete or continuous data set.When a car is randomly selected, it is found to have a gas tank that can hold 19.9 gal.

Answers

Explanation

We are asked to determine if the question is a continuous or discrete data set

The discrete data set is a data set that can be counted

Continuous data set are data that can be measured

For the given question, the answer will be option A

Solve 2x + 32 + x = 17.

x = 5
x = 0.2
x = −0.2
x = −5
Please and thank you.

Answers

2x+32+x = 17

Combine 2x and X to get 3x.

3x+32 = 17

Subtract 32 on both sides.

3x = 17−32

Remains 32 of 17 to obtain −15.

3x = −15

Divide both sides by 3.

x = -15/3

Divide −15 by 3 to get −5.

x = −5

The last option is correct.

The value of x after solving the given equation 2x + 32 + x = 17, is x = -5, which is the last option.

Given an equation:

2x + 32 + x = 17

It is required to find the value of x after solving or simplifying the equation.

In order to get the value of x, the equation has to be solved in such a way that the terms with the variable have to be placed on one side and the constant terms on the other side.

Consider:

2x + 32 + x = 17

Add x and 2x since they are like terms in variables.

3x + 32 = 17

Subtract 32 from both sides of the equation.

3x = 17 - 32

3x = -15

Divide both sides of the equation by 3.

x = -5

Hence, the value of x is -5.

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a train increased its prices from £663 to £895.05 how much has this increased in a percentage

Answers

Answer:

The price has increased 35%

Step-by-step explanation:

Given

Initial price = £663,New price = £895.05.

Find the percent increase

Find the amount of increase:

£895.05  - £663 = £232.05

Find the percent value of the increase over the initial price:

232.05/663 × 100% = 35%

A survey was given to people who own a sertain car. What percent of the people surveyed were completely satisfied with the car

Answers

The percent of the people surveyed were completely satisfied with the car is 55%.

How to calculate the percentage?

Number of people completely satisfied = 1155

Number of people somewhat satisfied = 755

Number of people not satisfied = 190

Total number of people = 1155 + 755 + 190 = 2100

Therefore, the percent of the people surveyed were completely satisfied with the car will be:

= Number of people completely satisfied / Total number of people × 100

= 1155 / 2100 × 100

= 55%

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A pet store makes a profit of $4.75 per bag on its line of organic dog food. The store wants to make a profit of no less than $5,700. Could selling 1,300 bags of dog food meet this goal?

Answers

1300 • 4.75 is $6,175 we needed to multiply this to find the profit of 1300 bags of dog food. Since $6,175 is more than 5,700 they did not make their goal.

Fighting fires is a profession that is really heating up. The average firefighter works 160 hours a month and make $4,090 for the month. If you only work 32 hours in a week, how much will you make?

Answers

Working 32 hours a week will fetch you $818

How to calculate the amount you will make?

From the question, the given parameters are:

Number of hours = 160

Earnings in a month = $4090

Start by calculating the unit rate

This is calculated using the following unit rate formula

So, we have

Unit rate = Earnings in a month/Number of hours

Substitute the known values in the above equation

So, we have

Unit rate =  4090/160

Evaluate the quotient

Unit rate =  25.5625

For 32 hours, the total earnings is

Total = Unit rate x Number of houts

So, we have

Total = 25.5625 x 32

Evaluate

Total = 818

Hence, you will earn $818 weekly

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a weighted die has probability 0.102 of landing on a 6. if you roll the die until you get a 6 for the first time, what is the expected number of rolls it will take?

Answers

This is an example of a geometric distribution with success probability p=0.102

The expected number of rolls is 10.

What is a geometric distribution?A discrete probability distribution of a random variable "x" that meets some requirements is referred to as a geometric distribution. The conditions for the geometric distribution are. a phenomenon that has undergone a number of tests. There are only two outcomes that can occur in a trial: success or failure.Geometric distribution: If a discrete random variable X has a probability density function (p.d.f.) of the form P(X = x) = q(x-1)p, where q = 1 - p, it is said to have a geometric distribution.Given a finite number of trials, the geometric distribution can be used to estimate the likelihood of success. This is extremely useful in the real world, where it is uncommon to conduct unlimited (and unrestricted) trials.

This is an example of a geometric distribution with success probability p=0.102 The expected value of the random variable of a geometric distribution is 1/p=1/0.102=9.80

Therefore, the expected number of rolls is 10.

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Find the values of Y and X

Answers

Answer is x = 13 and y = 20

Step by step

Both vertical angles are congruent so they equal each other

Solve for x

6x - 26 = 4x

Subtract 6x from both sides to combine variables

6x -6x -26 = 4x -6x

-26 = -2x

Divide both sides by -2 to solve for x

-26/-2 = -2/-2 x

x = 13

Solve for y

6y + 8 = 7y - 12

Subtract 7y from both sides to combine variables

6y -7y +8 = 7y - 7y - 12

-y +8 = -12

Subtract 8 from both sides to solve for y

-y +8 -8 = -12 -8

-y = -20

y = 20

Check your work, sub x and y values into equations

6x - 26 = 4x
6(13) -26 = 4(13)
78 -26 = 52
52=52

They equal so it is correct

6y + 8 = 7y - 12

6(20) +8 = 7(20) -12

120 + 8 = 140 -12

128 = 128

They equal so it is correct
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