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Answer:

8.7°

Step-by-step explanation:

The above problem can be represented by a right angled triangle with height of 7 m, hypotenuse = AB.

The base of the triangle is gotten by finding the diagonal of the road. That is using Pythagoras theorem:

base² = 43² + 15²

base² = 2074

base = 45.54 m

Using trigonometric function to find angle A:

tan(A) = base / height

tan(A) = 45.54 / 7

tan(A) = 6.506

A = tan⁻¹ (6.506)

A = 81.3°

Angle of depression = 90° - A = 90 - 81.3

Angle of depression = = 8.7°

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:

3.6(x + 2) - 6 = 3.6x + 1.2 can change it on him

84 Is the answer thank me later god bless you

Answer:

28

Step-by-step explanation:

7.3

21 x -18 Eeeeeeeee

cddnq Leo a dsiaka

Answer:

an=an−1+10, where a1=8

Step-by-step explanation:

it is

Answer:

an=an−1+10 , where a1=8

Step-by-step explanation:

I just took the test and I got it right!! :)

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 :)

Answer:

mode:7

range:8

Step-by-step explanation:

mode is the most repeated number

range is the greatest -smallest number

The simplest ratio is 4:9

[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:

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:

1: 5x+3

2: 1-1.6n

3: 3y +15

4: -b-3/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

D:(0,10)

R:(14, infinitly)

Answer:

5:2

Step-by-step explanation:

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:

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:

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

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%.

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:

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

Answer:

24°

Step-by-step explanation:

Assume the hexagon is regular.

Answer:

171

Step-by-step explanation:

9 * 19 is 171 dollars so that's what he'll owe

Answer:

It’s the last one

Step-by-step explanation:

Plz mark me brainliest

Answer:

68F

Step-by-step explanation:

Given data

The formula F = 1.8C + 32

we want to find F for C= 20°C

Substitute into the formula we have'

F = 1.8(20) + 32

F=36+32

F=68

Hence the value of 20°C in Fahrenheit is 68F

Answer:

[tex]Radius = 1.997\ in[/tex] and [tex]Height = 7.987\ in[/tex]

[tex]Cost = \$1.05[/tex]

Step-by-step explanation:

Given

[tex]Volume = 100in^3[/tex]

[tex]Cost =\$0.014[/tex] -- Top and Bottom

[tex]Cost =\$0.007[/tex] --- Sides

Required

What dimension of the cylinder minimizes the cost

The volume (V) of a cylinder is:

[tex]V = \pi r^2h[/tex]

Substitute 100 for V

[tex]100 = \pi r^2h[/tex]

Make h the subject

[tex]h = \frac{100 }{\pi r^2}[/tex]

The surface area (A) of a cylinder is:

[tex]A = 2\pi r^2 + 2\pi rh[/tex]

Where

[tex]Top\ and\ bottom = 2\pi r^2[/tex]

[tex]Sides = 2\pi rh[/tex]

So, the cost of the surface area is:

[tex]C = 2\pi r^2 * 0.014+ 2\pi rh * 0.007[/tex]

[tex]C = 2\pi r(r * 0.014+ h * 0.007)[/tex]

[tex]C = 2\pi r(0.014r+ 0.007h)[/tex]

Substitute [tex]h = \frac{100 }{\pi r^2}[/tex]

[tex]C = 2\pi r(0.014r+ 0.007*\frac{100 }{\pi r^2})[/tex]

[tex]C = 2\pi r(0.014r+ \frac{0.007*100 }{\pi r^2})[/tex]

[tex]C = 2\pi r(0.014r+ \frac{0.7}{\pi r^2})[/tex]

[tex]C = 2\pi (0.014r^2+ \frac{0.7}{\pi r})[/tex]

Open bracket

[tex]C = 2\pi *0.014r^2+ 2\pi *\frac{0.7}{\pi r}[/tex]

[tex]C = 0.028\pi *r^2+ \frac{2\pi *0.7}{\pi r}[/tex]

[tex]C = 0.028\pi *r^2+ \frac{2 *0.7}{r}[/tex]

[tex]C = 0.028\pi *r^2+ \frac{1.4}{r}[/tex]

[tex]C = 0.028\pi r^2+ \frac{1.4}{r}[/tex]

To minimize, we differentiate C w.r.t r and set the result to 0

[tex]C' = 0.056\pi r - \frac{1.4}{r^2}[/tex]

Set to 0

[tex]0 = 0.056\pi r - \frac{1.4}{r^2}[/tex]

Collect Like Terms

[tex]0.056\pi r = \frac{1.4}{r^2}[/tex]

Cross Multiply

[tex]0.056\pi r *r^2= 1.4[/tex]

[tex]0.056\pi r^3= 1.4[/tex]

Make [tex]r^3[/tex] the subject

[tex]r^3= \frac{1.4}{0.056\pi }[/tex]

[tex]r^3= \frac{1.4}{0.056 * 3.14}[/tex]

[tex]r^3= \frac{1.4}{0.17584}[/tex]

[tex]r^3= 7.96178343949[/tex]

Take cube roots of both sides

[tex]r= \sqrt[3]{7.96178343949}[/tex]

[tex]r= 1.997[/tex]

Recall that:

[tex]h = \frac{100 }{\pi r^2}[/tex]

[tex]h = \frac{100 }{3.14 * 1.997^2}[/tex]

[tex]h = \frac{100 }{12.52}[/tex]

[tex]h = 7.987[/tex]

Hence, the dimensions that minimizes the cost are:

[tex]Radius = 1.997\ in[/tex] and [tex]Height = 7.987\ in[/tex]

To calculate the cost, we have:

[tex]C = 2\pi r(0.014r+ 0.007h)[/tex]

[tex]C = 2* 3.14 * 1.997 * (0.014*1.997+ 0.007*7.987)[/tex]

[tex]Cost = \$1.05[/tex]

Answer:

It will by 10