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Answer: $45,000= Interest

Total= 45,000+ P. P=25000

=70000

Step-by-step explanation:

The total amount of money $53,973 is needed to pay it back in 10 years.

Compound interest is computed as interest on the principle of an account plus any accrued interest.

Compound interest can be calculated using the following formula:

x = P (1+r/n[tex]) ^{nt}[/tex] - P

,where x = compound interest

P = principal (the initial deposit or loan amount)

r = annual interest rate

n = the number of compounding periods per unit of time

t = the number of time units the money is invested or borrowed for

The given principal amount is  $25,000.

And an interest of 8.0% compounded annually.

And time period is 10 years and n = 1.

x = 25000 ( 1 + 8/10 )¹⁰ - 2500

x = $53973.12

x = $53,973

Therefore, the total amount of money $53,973 is needed to pay it back in 10 years.

To learn more about the compound interest rate;

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Answer:

C. 439.6 in.²

Step-by-step explanation:

The container is a cylinder.

Since the two circular bases won't be covered, therefore:

The least construction paper needed to cover the remaining surface = curved surface area of the cylinder

= 2πrh

r = 5 in.

h = 14 in.

Plug in the values

Curved surface area = 2×π×5×14 = 439.6 in.²

Answer:

36

Step-by-step explanation:

18 plus 18 is 36

i added those numbers together because two halves equal a whole

Answer:

$36

Step-by-step explanation:

x * 1/2 = 18

solve for x:

1/2x = 18 is the same

18/ 1/2

Answer:

x < 7

Step-by-step explanation:

3x - 9 < 12     add 9 for both sides.

3x < 21      divide both sides by 3.

x < 7.

Answer:

request payment from a person

Step-by-step explanation:

your welcome

Answer:

SA=78.5

Step-by-step explanation:

Find the area to all visible sides. 4*2.5=10, 10*2 (because there is two of these shapes) is 20. 4.5*4=18, 18*2=36. Finally, 4.5*2.5=11.25, 11.25*2=22.5.

20+36+22.5=78.5

1. m<C = 48°.

2. <X = <Y.

<ABD = <CDB = 62°

<BDA = <DBC = 70°

<DBC + <BCD + <CDB = 180°

70° + <BCD + 62° = 180°

132° + <BCD = 180°

<BCD = 180° - 132°

<BCD = 48°

m<C = 48°

The triangle is a right triangle. If ZX = ZY then <X = <Y

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

The answer for this would be B.

Answer:

If 0 is included in the natural numbers: 0,1,2,3

If 0 is not included in the natural numbers: 1,2,3

Step-by-step explanation:

Let n denote the natural number.

Its opposite is -n

The sum of its opposite and 8 is

-n+8

This is greater than the natural number

n<-n+8

Solve for n

2n<8

n<4

The numbers are numbers that are less than 4

If a natural number is less than the sum of its opposite and 8, this is expressed as:

n < -n + 8

n+ n < 8

2n < 8

n < 8/2

n < 4

Hence all the numbers are numbers that are less than 4

Learn more on inequalities here:https://brainly.com/question/24372553

Answer:

Step-by-step explanation:

The slope intercept form of a line is

y=mx+b where m=slope and b=y intercept

So the slope of that line is -1.6

Answer:

62.83 inches

Step-by-step explanation:

This video is better than any explanation i can give to help remember how to find the circumference of a circle: https://youtu.be/9WGO7dAxjD8

Answer:

8 up, 6 left

Step-by-step explanation:

Locate any point from triangle A and go up 8 steps to get on the same level as triangle A'. Then, move to the left 6 steps.

The graph translated 6 unit left and 8 unit upward.

A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.

Given, A figure "A" that translated at different position in cartesian plane.

Since,  A translation is when a geometric figure slides up, down, left or right on the coordinate plane. The figure moves its location, but doesn't change its orientation. It also doesn't change its size or shape.

Thus, we can observe only one point on the figure and calculate the movement of the figure.

Lets focus on the left bottom corner of the figure.

It moves from the coordinates (1, -5) to the coordinates ( -5, 3)

Since Horizontally translating a graph is equivalent to shifting the base graph left or right in the direction of the x-axis

So, we can say it translated to the lefty by 6 unit.

Same it goes with vertical translation.

Therefore, The graph translated 6 unit left and 8 unit upward.

Learn more about coordinates here:

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Answer:

4.2

Step-by-step explanation:

4.2

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Answer:

it's not

Step-by-step explanation:

if you simplify by making the denominators the same (multiplying 9/12 by 6/6 and 4/6 by 12/12), you'll arrive at 54/72 and 48/78. 54 isn't equal to 48

Answer:

None

Step-by-step explanation:

None.  A unit cube has dimensions 1 by 1 by 1, so it could not contain a rectangle of dimensions 3 by 1 by 1.

Answer:

6ft

Step-by-step explanation:

Answer:

could you show the answers

Step-by-step explanation:

= 1/6 mi + 4/9mi

= 9 + 24

54

=33/54mi

= 9.444444...

Answer: 494 mph

Step-by-step explanation:

S=d/t

Answer:

x=16

Step-by-step explanation:

Huhh?? Explain better ols

Answer:

x = 79 y = 22

Step-by-step explanation:

x would be the same as the other side so 79 * 2 would be 158. A whole triangle is 180. 180 - 158 = 22

Answer:

do english

Step-by-step explanation:

Answer:

9%

Step-by-step explanation:

Answer:

60°

Step-by-step explanation:

the relationship between angle RST and its arc TR is:

2m∠(RST)=m(arcTR);

using this formula m∠(RST)=0.5*m(arcTR);

m∠(RST)=60°

Answer:

<S = 60

Step-by-step explanation:

The arc TR and the central angle (T to the center then to R ) are equal.

So the Central angle is 120o

S anywhere on the minor arc is 1/2 the central angle.

<S = 1/2 120

<S = 60

Answer:

18

Step-by-step explanation:

According to the numbers the both numbers have to be negative

subtracting a negative will be the same as addition and so thats why the difference is bigger.

now its time for guess and check.

-6+-5

-11

but -6-(-5)=-1

so lets try

-9+(-2)=-11

-9-(-2)=-7

yay

so the product is

(-9)*(-2)=18

Answer:

YES

Criteria: SAS criterion

∆EFJ ≅ ∆HFG

Step-by-step explanation:

Side EF in ∆EFJ ≅ side HF in ∆HFG (corresponding sides)

Side FJ in ∆EFJ ≅ side FG in ∆HFG (corresponding sides)

Also,

<F in ∆EFJ ≅ <F in ∆HFG (vertical angles are congruent)

Thus, two sides and one included angle of ∆EFJ are congruent to two corresponding sides and an included angle of ∆HFG.

Therefore, by the SAS Congruence Theorem, ∆EFJ ≅ ∆HFG.

Answer:

vertex is (-1,-1)

Step-by-step explanation:

2 ways

1. get into vertex form y=a(x-h)^2+k

2. use math hacks

1.

vertex is (h,k) in y=a(x-h)^2+k

complete square

y=(2x^2+4x)+1

y=2(x^2+2x)+1

y=2(x^2+2x+1-1)+1

y=2((x+1)^2-1)+1

y=2(x+1)^2-2+1

y=2(x+1)^2-1

y=2(x-(-1))^2+(-1)

vertex is (-1,-1)

2.hack way

in form y=ax^2+bx+c

x value of vvertex is -b/2a

given

y=2x^2+4x+1

b=4, a=2

xvaluevertex=-4/(2*2)

xvaluevertex=-4/4=-1

sub back to find y value

y=2(-1)^2+4(-1)+1

y=2(1)-4+1

y=2-4+1

y=-1

y value is -1

Answer:

(-1,-1)

Step-by-step explanation:

To find the x coordinate, we use the formular x = -b/2a where b=4 and a = 2 from the given function.

hence x = -(4)/2(2) = -1

then to get the y coordinate we substitute the value of x into the given function, so y = 2(-1)^2+4(-1)+1 = -1

therefore, the vertex is (-1,-1)