How much money should be deposited in an account today that earns 4% compounded monthly so that it will accumulate to $10,000 in 5 years?

Answer:

(x + 7)² + (y - 1)² = 1

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k) = (- 7, 1) and r = 1 , then

(x - (- 7) )² + (y - 1)² = 1² , that is

(x + 7)² + (y - 1)² = 1

Answer:

62.8

Step-by-step explanation:

The formula of finding the volume of a cylinder v= pi*r^2*h

So substitute the values:

r is 2, and h is 5

v=pi*2^2*5

Then solve the equation:

v=pi*4*5

v=pi*20

v=62.8 (I multiplied 20 by 3.14, or pi)

So the answer is 62.8

Answer:

$2

Step-by-step explanation:

Let the cost of a donut and a cake be $d and $c respectively.

10d= 2c

Dividing both sides by 2:

5d= c -----(1)

3c +5d= 8 -----(2)

Substitute (1) into (2):

3c +c= 8

Simplify:

4c= 8

Divide both sides by 4:

c= 8 ÷4

c= 2

∴ The cost of a cake is $2.

Answer:

[tex]x = \frac{19-2y}{3}[/tex]

[tex]y=-\frac{3x+19}{2}[/tex]

Step-by-step explanation:

4x + y = 22

y = x - 3

4x + y + y = 22 + x - 3

4x + 2y = 19 + x

4x - x + 2y = 19 + x - x

3x + 2y ÷ 3 = 19 ÷ 3

[tex]x = \frac{19-2y}{3}[/tex]

[tex]y=-\frac{3x+19}{2}[/tex]

Answer:

a)Let's solve for x.

4x+y=22

Step 1: Add -y to both sides.

4x+y+−y=22+−y

4x=−y+22

Step 2: Divide both sides by 4.

4x

4

=

−y+22

4

x=

−1

4

y+

11

2

a)y=x−3

b)y=

−1

2

x+6

b)x=y-12

Answer:

5.74

Step-by-step explanation:

The value of AC in the given right triangle is 5.74 units.

Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle) - a² + b² = c².

Given that, the right triangle ABC, AB = 4 and BC = 7.

According to Pythagoras theorem,

AC² = AB²+BC²

AC² = 7²+4²

AC = √33 = 5.74

Hence, The value of AC in the given right triangle is 5.74 units.

For more references on Pythagoras theorem, click;

https://brainly.com/question/343682

#SPJ2

Answer:

15 weeks

Step-by-step explanation:

First, calculate the total that is needing to be saved not including the money she already has.

So 700 minus 175 is 525.

Next, to find the number of weeks, divide 525 by 35 which gives you 15 even.

So if Kalon continues to save $35 a week, it will take him 15 weeks to reach his goal of $700.

Answer:

3.32+8÷2-(4+3)

=3.32+8÷2-7

=3.32+4-7

=7.32-7

=0.32

this is the correct answer but unfortunately it's not in the options, maybe you need to check the options again :)

Answer:

42.39 sq.cm

Step-by-step explanation:

Ф = 135°

r  = 6 cm

Area of the sector = [tex]\frac{theta}{360}*\pi *r^{2}\\[/tex]

  [tex]= \frac{135}{360}* 3.14 *6 * 6\\\\= \frac{135}{10}*3.14\\\\= 27 * 1.57\\\\=42.39[/tex]

The area of sector bounded by 135 ° arc is 42.42 cm ².

Step-by-step explanation:

Radius of the circle , r = 6 cm

Angle of the circle, θ = 135 °

Area of circle bounded by a 135 ° arc.

We know that

[tex]\small \sf \: Area \: of \: sector \: = \frac{θ}{360} \: \times \pi \times r {}^{2} \\ [/tex]

Substitute the values of r and θ , we get

Area of sector =

[tex]\small \sf \: Area \: of \: sector \: = \frac{135 °}{360} \: \times \pi \times {6cm}^{2}\\ [/tex]

[tex]\small \sf \: Area \: of \: sector \: = \frac{135°}{360} \: \times \frac{22}{7} \times 6cm \times 6cm \\ \\ \small \: \sf Area \: of \: circle \: = \frac{135}{360} \times \frac{22}{7} \times 36cm {}^{2} \\ \sf \: \: = \frac{135}{10} \times \frac{22}{7} \\ \sf \: = 42.42cm \: {}^{2} [/tex]

Therefore, The area of sector bounded by 135 ° arc is 42.42 cm ².

Answer:

the equation as intercept form is

y = 3x + 5

Answer:4.5y

Step-by-step explanation: you have to multiply 15 times 0.3 and u get 4.5y

Answer:

4*4=16+7=23

Step-by-step explanation:

4 inches x 4 weeks is 16 inches

7 + 16 = 23

Answer:

scale factor is 3/2

YZ=15

JL=12

Step-by-step explanation:

JK=XY

ZY=LK

XZ=JL

15/10=3/2 (scale factor)

3/2=x/10

now cross multiply

30/2=2x/2

15=x or YZ

3/2=18/y

cross multiply

3y/3=36/3

JL or y=12

Answer:

87.95479

Step-by-step explanation:

10.3% of 853.93 km

Expand 10.3÷100 by multiplying both numerator and denominator by 10.

[tex] \small \sf \frac{10.3 \times 10}{100 \times 10} = 853.93 \\ [/tex]

[tex] \small \sf \frac{103}{1000} = 853.93 \\ [/tex]

convert decimal number 853.93 to fraction 85394÷100

[tex]\small \sf \frac{103}{1000} = \frac{85393}{100} \\[/tex]

Multiplying 103÷1000 and 85393÷100 by numerator times numerator and denominator times denominator.

[tex]\small \sf \frac{103 \times 8539 3}{1000 \times 100} \\[/tex]

Do the multiplication in the fraction

[tex]\small \sf \frac{8795479}{100000} \\ [/tex]

Divide we get

87.95479

Another way to solve it

10.3% 853.93

we know that ; % = whole no. ÷ 100

then,

10.3 ÷ 100 × 853.93

Divide the numbers

0.103 × 853.93

multiply the numbers

87.95479

Answer:

20

Step-by-step explanation:

L times W

length times width

so 5 x 4 = 20

Answer: x=2

Step-by-step explanation:

15x-10=10 + 6+ 2x

15x-2x=20+6

13x=26

X=2

Answer:

x = 2

Step-by-step explanation:

2.5(6x - 4) = 10 + 4(1.5 + 0.5x)

Distribute the 2.5

15x - 10 = 10 + 4(1.5 + 0.5x)

Distribute the 4

15x - 10 = 10 + 6 + 2x

Combine like terms

15x - 10 = 16 + 2x

Add 10 to both sides

15x = 26 + 2x

Subtract 2x from both sides

13x = 26

Divide both sides by 13x

x = 2

Answer:

[tex] y = 6 \sqrt{3} \: units[/tex]

Step-by-step explanation:

In order to find the value of y, first we need to find the length of the perpendicular dropped from one of the vertices of the triangle to its opposite side.

By geometric mean theorem:

Length of the perpendicular

[tex] =\sqrt{9\times 3}[/tex]

[tex] =\sqrt{27}\: units [/tex]

Next, by Pythagoras theorem:

[tex] {y}^{2} = {9}^{2} + {( \sqrt{27} )}^{2} \\ \\ {y}^{2} = 81 + 27 \\ \\ {y}^{2} = 108 \\ \\ y = \sqrt{108} \\ \\ y = \sqrt{36 \times 3} \\ \\ y = \sqrt{ {6}^{2} \times 3} \\ \\ y = 6 \sqrt{3} \: units[/tex]

9514 1404 393

Answer:

Step-by-step explanation:

A tangent makes a right angle with the radius to the point of tangency. Hence ∠PAO is 90°. The ratio of the short side (OA) of the right triangle OAP to the hypotenuse (OP) is 5 : 10 = 1 : 2. These are the ratios found in a 30°-60°-90° triangle, so we know that ∠APO = 30°.

OP is a bisector of angle APB, so that angle is 60°. Angle AOB is the supplement to angle APB, so ∠AOB = 120°.

__

As we said above, triangle OAP is a 30°-60°-90° triangle, so its side lengths have the ratios 1 : √3 : 2. This means PA = PB = 5√3 ≈ 8.7.

Answer:

346/389

Step-by-step explanation:

First determine how many were not arm tattoos

389-43

346

P( not arm) = not arm /total

                   = 346/389

Answer:

346/389

Step-by-step explanation:

Khan

Answer: for first question answer is second option and other question answer is again b

Step-by-step explanation:

Firstly you already see that the median is increasing because it is first 403 and changing to 553. We can understand it increased

Answer:

60 cm^2

Step-by-step explanation:

let are of big figure be x .

area of small figure / area of big figure = 15 / 18

50/x = 15/18

do cross multiplication

x*15 = 18*50

x = 900/15

x = 60 cm^2

Answer:

x=-20

Step-by-step explanation:

x=-10•2

• means multipled

Answer:

1260

hope this helps

have a good day :)

Step-by-step explanation:

Step-by-step explanation:

2 x 2 x 3 x 3 x 5 x 13

= 2340

................

Answer:

20

Step-by-step explanation:

sqrt((18-6)^2+(17-1)^2)

Inside parentheses first

sqrt((12)^2+(16)^2)

Then square inside the parentheses

sqrt(144+256)

Sqrt(400)

Taking the square root

20

[tex]\quad \quad \quad \quad\tt{ \sqrt{(18 - {6)}^{2}+ (17 - {1)}^{2}} }[/tex]

[tex]\quad \quad \quad \quad\tt{ \sqrt{(18 - {6)}^{2}+ (17 - {1)}^{2}} }[/tex]

[tex]\quad \quad \quad \quad\tt{ \sqrt{{(12)}^{2}+ {(16)}^{2}} }[/tex]

[tex]\quad \quad \quad \quad\tt{ \sqrt{144+ 256} }[/tex]

[tex]\quad \quad \quad \quad\tt{ \sqrt{400} }[/tex]

[tex]\quad \quad \quad \quad\tt{ = 20}[/tex]

[tex]\quad \quad \quad \quad \huge\boxed{ \tt{ \color{green}20}}[/tex]

________

#LetsStudy

Answer:

Step-by-step explanation:

1

Answer:

-12

Step-by-step explanation:

Hi Alyssa!,

For any x we multiply it by 6 and subtract 6 from it to get the F. The function tells us this. To find f(-1) it bassicly says what's f when x is -1. Well we know that. f is 6(-1)-6 whis is -12.

F is -12

JoeLouis2

Answer:

261.5 ft^2

Step-by-step explanation:

Surface Area of a rectangular prism = Length x Width x Height

= 8.5ft x 6ft x 5.5ft

= 261.5 ft

Answer:

Fluffy is longer than Muffy

Step-by-step explanation:

There are 1000 millimeters in a meter

Fluffy = 2000 millimeters

Muffy = 900 millimeters

Fluffy is longer than Muffy

2000 > 900

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Fluffy is longer than Muffy

There are 1000 millimeters in a meter

There are 1000 millimeters in a meterFluffy = 2000 millimeters

There are 1000 millimeters in a meterFluffy = 2000 millimetersMuffy = 900 millimeters

There are 1000 millimeters in a meterFluffy = 2000 millimetersMuffy = 900 millimetersFluffy is longer than Muffy

There are 1000 millimeters in a meterFluffy = 2000 millimetersMuffy = 900 millimetersFluffy is longer than Muffy2000 > 900

Answer:

option A

Step-by-step explanation:

y = k . f( x )

• if k > 1, the graph of y = k•f (x) is the graph of f (x) vertically stretched by multiplying each of its y-coordinates by k.

• if 0 < k < 1 (a fraction), the graph is f (x) vertically shrunk (or compressed) by multiplying each of its y-coordinates by k.

• if k < 0, the vertical stretch or shrink is followed by a reflection across the x-axis.

Given g(x ) = - |x |

                = -1 × f(x)

k < 0 , therefore the graph g (x) is a vertical shrink ( or compression ) of graph f

Answer:

below

Step-by-step explanation:

a.. it divides the triangle into two equal parts

b.. it is an isosceles triangle

c.. the base line of a mid point are equal

d.

g. two angles are equal in isosceles triangle

Answer: [tex]\dfrac{6}{26}[/tex]

Step-by-step explanation:

Given

Denominator is 4 more than twice its numerator

Suppose the numerator is x. So, it follows above condition, fraction becomes

[tex]\Rightarrow \dfrac{x}{2x+4}[/tex]

If both numerator and denominator are reduced by 6, they become equal

[tex]\Rightarrow 12(x-6)=2x+4-6\\\Rightarrow 12x-72=2x-2\\\Rightarrow 10x=70\\\Rightarrow x=7[/tex]

The fraction is

[tex]\Rightarrow \dfrac{x}{4x+2}=\dfrac{6}{4\times 6+2}\\\\\Rightarrow \dfrac{6}{26}[/tex]