Solve for X.

Then, solve for Y.

Finally, solve for Z.

Answer:

FV= 24,000*(1.07^-10)

Step-by-step explanation:

Giving the following information:

Present Value (PV)= $24,000

Decrease rate (d)= 7%

Number of periods (n)= 10 years

To calculate the value of the car after 10 years, we need to use the following formula:

FV= PV*(1+d)^-n

FV= 24,000*(1.07^-10)

FV= $12,200.38

Answer: 16%

Step-by-step explanation:

4:25*100 =  

(4*100):25 =  

400:25 = 16

Answer: $53.24

Step-by-step explanation:

Find the sales tax:

9.5*63.00=598.5

Then divide 598.5 by 100: 598.5/100= 5.985

Round: $5.99 ( sale tax amount )

Now we find the discount: 25*63.00= 1,575

Then divide it by 100 : 1,575/100= $15.75 ( discount amount )

Take the original price of the game and subtract it by the discount amount, then add the sales tax amount: 63.00-15.75= 47.25+5.99= $53.24

Answer: $53.24

Your welcome :)

Answer: 15 years

Step-by-step explanation:

Given

Difference between [tex]\frac{3}{5}[/tex] Raman's present age and his age 4 years ago is 0

Suppose Raman's present age is [tex]x[/tex]

So, we can write

[tex]\Rightarrow \dfrac{3x}{5}-(x-4)=0\\\Rightarrow \dfrac{3x-5x}{5}+4=0\\\Rightarrow \dfrac{-2x}{5}+4=0\\\Rightarrow x=\dfrac{20}{2}=10[/tex]

His age after 5 years is [tex]x+5=15\ yr[/tex]

Answer:

1) at the highest Point

KE= 0  PE=2116.8 N

2) 3 m above the ground

PE= 529.2 N KE=1587.6 N

3) at the ground

KE= 2116.8 N and PE=0

Step-by-step explanation:

The potential energy is given by

PE= mgh   where m is the mass , g is the acceleration due to gravity which is equal to 9.8 m/s² and h is the height.

The kinetic energy is given by KE= 1/2 mv² where m is the mass of the body and v is the velocity.

1) at the highest Point

Now at the highest point the  velocity is zero

KE= 1/2 mv²

KE= 0

PE = mgh

PE= 18 *9.8* 12= 2116.8 N

Total Energy = KE + PE= 0 + 2116.8 N= 2116.8 N

2) 3 m above the ground

At 3 m above the ground

PE= mgh

PE= 18 *9.8* 3= 529.2 N

According to law of conservation of energy the total energy ( sum of KE and PE)  remains the same at every point.

Total Energy = KE + PE

2116.8 N-529.2N= 1587.6N

KE=1587.6 N

3) at the ground

at the ground the height will be zero

PE= mgh

PE= 18 *9.8* 0= 0 N

According to law of conservation of energy the total energy ( sum of KE and PE)  remains the same at every point.

Total Energy = KE + PE

2116.8 N=2116.8 N + 0

KE= 2116.8 N

or

KE= 1/2 mv²

KE = 1/2* 18 *(15.36)²= 2116.8

Answer:

because matter is everything, everything around us is made of matter even people

have a good day :)

Step-by-step explanation:

Answer:

A

$10

Step-by-step explanation:

15% of $65 is 9.75

so $10 would cover the given amount

We want to see which card can cover completely the cost of a bat after a discount is applied. We will see that the correct options are:

D and E.

The baseball bat is originally sold for $65.

It has a discount of a 15%, then the new price is given by:

P = $65*(1 - 15%/100%) = $65*(1 - 0.15) = $65*0.85 = $55.25

So the gift cards that cover the whole cost of the discounted bat are these ones with a value equal or larger than $55.25

The correct options are:

D: $60

E: $80

With these two you could pay the complete cost of the discounted bat.

If you want to learn more, you can read:

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Answer:

x = 5

Step-by-step explanation:

4(x + 3) = 32

Use Distributive Property

4x + 12 = 32

Subtract 12 on both sides

4x = 20

Divide 4 on both sides

x = 5

Hope this helps! ^^

Answer:

She would use the mean.

Step-by-step explanation:

Answer:

384 inches cubed

Step-by-step explanation:

Your equation is:

width x hight x length = volume

12 x 4 x 8 = 384 in cubed

Answer: that be B.128in^2

Step-by-step explanation: Hope this help :D

Answer: 39/50

Step-by-step explanation: the answer is 39/50

Answer:

the answer is 39/50

Step-by-step explanation:

thank you

Answer:

41

Step-by-step explanation:

each page holds 7 discs. the alb holds 700 discs. that means there are 100 pages. 69% of the pages are empty so therefore 41 pages are filled.

Answer:

the volume of rectangular prism is 11 ft.

the volume of triangle prism is 7 ft.

Answer:

C) ASA

Step-by-step explanation:

angles are indicated equal and they share the common diagonal between those angles, so ASA

The given two triangles are congruent due to the ASA postulate, which is the correct answer that would be an option (C).

Two triangles are said to be congruent if their corresponding sides and angles are equal.

The given triangles are given in the figure.

We can see that there are two angles that are the same and one side is the same.

According to ASA, two triangles are congruent if any two angles and the side included between them of one triangle are equal to the corresponding angles and the included side of the other triangle.

So, we conclude that the given two triangles are congruent.

Hence, the given two triangles are congruent due to the ASA postulate.

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Answer:

Probability of Sarah NOT selecting a mystery book  = 0.67

Step-by-step explanation:

Probability helps to show how likely an event will occur;

The probability an event will not occur can be obtained by subtracting the probability that the event will occur from 1.

We can take this route to solve this problem

The probability of picking an option from a broad list of alternatives can be calculated using the formula:

Probability = number of expected outcomes/ total number of options

For our problem, there are only 6 mystery books on the shelf. Hence, the number of expected outcomes is = 6. Sarah cannot pick any more than 6 mystery books, and any mystery book she picks will be from that lot.

The total number of options refers to the total number of books available to pick from; whether mystery, science history, and adventure.

We can get this by adding 6 + 5 + 4 + 3 = 18

Probability of Sarah selecting a mystery book = 6/18

Probability of Sarah NOT selecting a mystery book = 1 - (6/18) = 0.67

Answer:

0.65

Step-by-step explanation:

Answer:

Step-by-step explanation:

2,142/32,800 ≈ 0.065 = 6.5%

Answer:

1205.75999

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

Answer:

7/25

Step-by-step explanation:

The total Amount of the mortgage is $400,545 if the closing costs are financed with the mortgage.

a) The down payment of Jason is 10% of $430,000 =$43,000b) The amount of the mortgage is the difference between the home value and the down payment.

Mathematically, $430,000 - $43,000 = $387,000.c) The closing costs are 3.5% of the mortgage. So, 3.5% of $387,000 is: 0.035 × $387,000 = $13,545.

Hence, the closing costs are $13,545. d) The total amount of the mortgage if they finance the closing costs with the mortgage is the sum of the amount of mortgage and the closing cost.

So, the total amount of the mortgage is: $387,000 + $13,545 = $400,545.Solution:a) Jason's down payment is 10% of the cost of the house, which is given as $430,000.

To calculate the down payment, multiply the cost of the house by 10%.Down payment = $430,000 x 10% = $43,000

Therefore, Jason's down payment is $43,000.b)

The amount of the mortgage is the difference between the total cost of the house and the down payment. The cost of the house is given as $430,000.

Thus, we have:Mortgage amount = Total cost - Down paymentMortgage amount = $430,000 - $43,000Mortgage amount = $387,000

Therefore, the amount of the mortgage is $387,000.c) The closing costs are 3.5% of the mortgage.

Using the mortgage amount calculated in part b), we can compute the closing costs as follows:Closing costs = 3.5% x Mortgage amountClosing costs = 3.5% x $387,000

Closing costs = $13,545

Therefore, the closing costs are $13,545.

d) If the closing costs are financed with the mortgage, we simply need to add the closing costs to the mortgage amount calculated in part b):Total amount of the mortgage = Mortgage amount + Closing costsTotal amount of the mortgage = $387,000 + $13,545

Total amount of the mortgage = $400,545

Therefore, the total amount of the mortgage is $400,545 if the closing costs are financed with the mortgage.

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Answer:

(0,3) (-6,0) these will be the points

Answer:

we have

C=(2,-1)

B=(-2,3)

since

BC is hypotenuse

length of BC=√[(-2-2)²+(3+1)²]=√32=4√2 units is your answer

Answer:

hi.............,,,,,........

Answer:

35 ft

Step-by-step explanation:

Sorry this took me so long, I am 99% sure it is right though

I hope this helps :)

Answer:

the answer is what you think it is fam on foenem

Answer:

Hello! answer: 544

Hope this helps!

The surface area of the given triangular prism is 544 units³

A triangular prism is a polyhedron made up of two triangular bases and three rectangular sides.

Given that are the dimensions of a triangular prism, we are asked to find its surface area,

Surface area = (perimeter × length)+(base area)

Surface area = [(10+10+12)×14]+(8×12)

= 32×14+96

= 448+96

= 544

Hence, the surface area of the given triangular prism is 544 units³

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Answer:

Unit 9 Answer Key.pdf

Step-by-step explanation:

Search that up and you'll see all the answers

Please give me Brainliest and like and rate please hope this helps BYE!

Answer:

The answer would be 50m units squared.