a mechanic rotates the octagonal nut shown clockwise about its center, what is the angle of rotation that moves position 8 to position 5?

Answer:

Explanation:

Twyla and Tony with a balloon mortgage of 30/5 will make constant payments over the space of 5 years and then complete the bulk balloon payment for 25 years remaining.

Given mortgage loan value of $389900

Interest rate of 4.85%

We are asked to calculate the interest over the life of the loan.

We will calculate interest by calculating constant payments over the period of 5 years before balloon payment is due and adding them together then subtracting the mortgage loan given $389900

Formula for constant payments :

A= P×r×r(1+r)^n/(1+r)^n-1

Where A= constant/monthly payments

r= interest rate on the mortgage loan

n= number of payments = 30×12= 360

P= mortgage loan given

A= $389900×0.0485×0.0485(1+0.0485)^360/(1+0.0485)^360-1

=$389900×0.0485×1231340.79/25388468.94

=$389900×0.0485×0.04850

A= $917.142

Payment for five years(with interest)= $917.142×60= $55028.52

Calculate balloon payment:

FV= PV(1+r)^n - P((1+r)^n-1/r)

Where FV= future value of balloon payment

PV= initial loan given

r= interest rate on loan

n= number of payments

P= monthly payments

Substitute:

FV= $389900(1+0.0485/12)^60-917.142((1+0.0485/12)^60-1/0.0485/12)

=$389900×1.2738-917.142(0.2738/0.004041)

=$389900×1.2738-917.142×67.756

= 496654.62-62141.87

FV = $434512.75

Therefore total payment made with interest over the life of the loan= balloon payment+ constant payments for five years= $434512.75+$55028.52

=

Answer:

C.     y=1/4

Step-by-step explanation:

76y=19

y=19/76

7=.25 or 1/4

Answer:

Hi! The correct answer is C. y = 1/4

Step by step explanation:

Divide each term by 76 and simplify.

Answer:

110,000 kg

Step-by-step explanation:

Just look at the kilos of flour produced on Wednesday from both plants and add them together :)

Step-by-step explanation:

Difference of Squares: a² - b² = (a + b)(a - b)

(x² - 16) / (x - 4)

= [(x + 4)(x - 4)] / (x - 4)

= x + 4, where x =/= 4.

Answer:

1.    (x+4)

2.     4

Step-by-step explanation:

got right on edge

Answer:

The new jar is smaller.

Step-by-step explanation:

Like what the statements says, the normal size of coffee is reduced by 1/5 and it become as the new jar which is smaller than the original.

Answer:

the proportion of workers from company B who purchsed coffee was pˆC=0.75

Step-by-step explanation:

Answer: pˆC=0.75

Step-by-step explanation:

Hey there!

[tex]\text{The word \underline{of} means \underline{multiply} in \underline{mathematical terms}}[/tex]

[tex]\bold{Equation: 20\% \times 155}\\\bold{20\% = \dfrac{20}{100}=\dfrac{20\div20}{100\div20}=\dfrac{1}{5}}\\\bold{\dfrac{1}{5}\times 155=?}\\\bold{155\times1=155}\\\\\bold{\dfrac{155}{5}=31}\\\boxed{\boxed{\bold{Answer: 31}}}\huge\checkmark[/tex]

Good luck on your assignment and enjoy your day!

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

f(x)=25x+120. f(10)=370

Answer:

Step-by-step explanation:

f(10)= Which Is 25. This means that he will have saved $250 in 10 weeks. The couch costs $475 whis is $225 more than $250

Answer:

Step-by-step explanation:

You need to find out the circumference of the Ferris wheel

C=d*3.14=185*3.14=580.90 m

Answer:

C- t=411

Step-by-step explanation:

there is this really cool site/app called

math

way

it helps for everything, just use it

Answer:

Jack's age: 86, Priscilla's age: 72

Step-by-step explanation:

Priscilla's age can be called x, which makes Jack's x + 14. We know that their added ages total 158 years which means that x + x + 14 = 158, which means that 2x + 14 = 158. We can then solve this by subtracting 14 on both sides and getting 2x = 144. We can divide on both sides to get that x = 72. Since Priscilla's age is x and Jack's is x + 14, we already know Priscilla's age and we need to find Jacks by adding 14 to 72. 72 + 14 = 86, so Jack's age is 86.

Answer:

Jack is 86 years old,

and Priscilla is 72 years old

Step-by-step explanation:

j = Jack

p = Priscilla

j - 14 = p $\Rightarrow$ j = p+14

j+p = 158

By subsituting the value of j ( first equation) into the second equation, we get:

p+14+p = 158

2p+14 = 158

2p = 144

p = 72.

So, j = 86

Answer:

[tex]y = \frac{x}{2}[/tex]

Step-by-step explanation:

Functions:

Functions have the following format:

y = f(x)

In which y is the output, x is the input, and f is the relation between them.

In this question:

The output is half of the input x. This means that:

[tex]y = \frac{x}{2}[/tex]

Functions can be represented using equations and mathematical statements

The function rule is y = 0.5x

The statement is given as:

The output is half of the input x."

Let the output be y.

So, we have:

y = 0.5 * x

Evaluate the product

y = 0.5x

Hence, the function rule is y = 0.5x

Read more about function rules at:

https://brainly.com/question/271007

Answer:

It’s the last one

Step-by-step explanation:

Plz mark me brainliest

Answer:

I hope I helped sorry l didn't understand question number 19

Answer:

24°

Step-by-step explanation:

Assume the hexagon is regular.

Answer:

The probability is 13.33%

Step-by-step explanation:

Probability

The probability of an outcome is defined as the frequency of the number of times the outcome occurs (f) relative to the number of times that it could have occurred (n).

The formula to calculate the probability is:

[tex]\displaystyle P=\frac{f}{n}[/tex]

Marcus rolled a number cube and the results are recorded in a table where it can be noted that the number five rolled f=24 times. The total number of trials is n=30+45+30+28+24+23=180.

The probability that the next roll is a five is:

[tex]\displaystyle P=\frac{24}{180}[/tex]

Simplifying:

[tex]\displaystyle P=\frac{24}{180}[/tex]

[tex]\displaystyle P=\frac{2}{15}[/tex]

Dividing:

[tex]\displaystyle P=0.1333 = 13.33\%[/tex]

The probability is 13.33%

Answer:

mode:7

range:8

Step-by-step explanation:

mode is the most repeated number

range is the greatest -smallest number

Answer:

5:2

Step-by-step explanation:

The simplest ratio is 4:9

Answer:

C. 11

Step-by-step explanation:

Since JK is a midsegment of ∆GHI, therefore, based in the midsegment theorem:

JK = ½(HI)

HI = 22

Therefore,

JK = ½(22)

JK = 11

Answer:

1 ==> C

2 ==> A

3 ==> B

hope this helps! lmk if you have any questions about my answer

Given:

Purchasing price = 6.1 lakh

Amount spent of repair = 30000

Selling price = 8 lakh

To find:

The gain percentage.

Solution:

We have,

Purchasing price = 6.1 lakh

Amount spent of repair = 30000 = 0.3 lakh

So, total cost price is

[tex]C.P.=6.1+0.3[/tex]

[tex]C.P.=6.4[/tex]

The total cost price is 6.4.

Selling price(S.P.) = 8 lakh

Now,

[tex]Gain\%=\dfrac{S.P.-C.P.}{C.P.}\times 100[/tex]

[tex]Gain\%=\dfrac{8.0-6.4}{6.4}\times 100[/tex]

[tex]Gain\%=\dfrac{1.6}{6.4}\times 100[/tex]

[tex]Gain\%=\dfrac{1}{4}\times 100[/tex]

[tex]Gain\%=25\%[/tex]

Therefore, the gain percent is 25%.

[tex]56 = 28 \times 2 \\ 56 = (14 \times 2) \times 2 \\ 56 = (7 \times 2) \times 2 \times 2[/tex]

Amon the following situation 2 cases follow the general rule for basis of inherited property

Given , Statements of inheritance.

1. Louis died on August 12. 2019 leaving his house to his sister, Etty.

2. On August 15, 2018, Leroy give his brother Ralph appreciated stock. Leroy's brother died on February 16, 2019, Ralph's only heir was Leroy.

3.Mick died on June 30, 2019. He named his brother Emmett as the beneficiary of his 401(k) plan.

This is also a case of inheritance but not the case of inheritence of property. Retirement Savings account is not considered as property.

4.Janet died January 1, 2019. At that time, she had a IRA with balance of $32640. She named her daughter, Emily, as the beneficiary of her IRA.

Know more about inheritance of property,

https://brainly.com/question/29375949

#SPJ4

Answer:

Please check the explanation.

Step-by-step explanation:

Given

First we need to determine the percentage decrease such as:

Percentage decrease = 2.6% of 28

                                     = 2.6/100 × 28

                                     = 0.026 × 28

                                     = 0.73

New value can be determined using the formula

New vaue = 28 - percentage decrease

                 = 28 - 0.73

                 = 27.27

Answer:

Robert paid $4,603.6 in Social Security.

Step-by-step explanation:

Robert total earnings:

$5,805 at Young's Grocery.

$12,445 at A&B Restaurant.

$56,002 at CCD Communications.

So his total earnings are of:

5805 + 12445 + 56002 = $74,252

How much did Robert pay in Social Security?

6.2%, that is, 0.062 of $74,252. So

0.062*74252 = $4,603.6

Answer:

You need to have an average speed of at least 35 miles per hour for the rest of the trip to get to the church on time

Step-by-step explanation:

We use the following relation to solve the question:

[tex]v = \frac{d}{t}[/tex]

In which v is the velocity, d is the distance, and t is the time.

First 15 minutes:

Time of 15 minutes = 0.25 hour, so [tex]t = 0.25[/tex]

Velocity of 5 miles per hour. So the distance is of:

[tex]d = vt = 5*0.25 = 1.25[/tex]

Final 15 minutes:

The will need to drive 10 - 1.25 = 8.75 miles in 15 minutes = 0.25 hours. So, the average speed will need to be of at least:

[tex]v = \frac{d}{t} = \frac{8.75}{0.25} = 35[/tex]

You need to have an average speed of at least 35 miles per hour for the rest of the trip to get to the church on time