Isabel put $4,000 into a saving account that pays interest monthly at a simple-interest rate of 2.5% per year. If she takes the interest interest out of the account each month, how much money should she expect to earn after 6 months?

Answer:

Step-by-step explanation:

That would be 1/5 + 3/5 which equals (1+3)/5 = 4/5

Answer:

Infinitely many solutions.

Step-by-step explanation:

4v=6v-2v  Combine like terms.

4v=4v       These are already equal without diving, so there are infinitely many solutions.

Hope this helps and have a nice day ❤

Answer:

Infinitely many solutions

Step-by-step explanation:

4v=6v-2v

4v=4v

when two expressions on opposite sides of an equals sign are equivalent, that means there are infinitely many solutions

P.S. Please mark me Brainliest if it is correct.

Given:

The height of a right cone = 14 in

Base diameter = 17 in

To find:

The diagram of the cone and its lateral surface area.

Solution:

(a)

The diagram of a right cone with height 14 in and base diameter of 17 in is shown below.

Diagram is not to scale.

(b)

We know that lateral surface of the cone is

[tex]A=\pi rl[/tex]

[tex]A=\pi r\sqrt{r^2+h^2}[/tex]              ...(i)

Where, r is the base radius, h is vertical height and l is the slant height of the cone.

Base radius of the cone = [tex]\dfrac{\text{Base diameter}}{2}[/tex]

[tex]r=\dfrac{17}{2}[/tex]

[tex]r=8.5[/tex]

Now,

Putting r=8.5, h=14 and π=3.14 in (i), we get

[tex]A=(3.14)(8.5)\sqrt{(8.5)^2+(14)^2}[/tex]

[tex]A=26.69\sqrt{72.25+196}[/tex]

[tex]A=26.69\sqrt{268.25}[/tex]

[tex]A=437.1379[/tex]

[tex]A\approx 437[/tex]

Therefore, the lateral surface area of the cone is 437 sq. inches.

Answer:

16.5

Step-by-step explanation:

Break down the equation:

10*5=50

4 with an exponent of 2= 16

Then you have: 50+16 / 4

You can simplify it to 66/4

Finally, divide 66 by 4 which equals 16.5

Hope this helps!

Answer:

Yes

Step-by-step explanation:

[tex]y\leq 3x+9\\\\8\leq 3(7)+9\\\\8\leq 21+9\\\\8\leq 30[/tex]

Yes, the given point makes the inequality true. We end up with a true statement.

Hope this helps.

Answer:

144

Step-by-step explanation:

First subtract 180 from 20% of 180.

180 - (20/100 x 180) = 180-36 = 144

Answer:

Do not multiply the coefficients and the exponents. Remember, using the Product Rule add the exponents when the bases are the same.

In the product rule of the exponents,

''For same base we can add the exponents of the coefficients.''

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

Solve expression by using the product rule for exponents.

Now, We know that;

In the product rule for exponents;

When expression have same base then its exponents are add and the coefficients of expression are written as same as write in expression

Hence, In the product rule of the exponents,

''For same base we can add the exponents of the coefficients.''

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Answer:

2.2. Hope it helps :D

The proportion of 16 to 4 is 4 is 1/4 of 16( 4/16 = 1/4)

So x would be 1/4 of 12

12/4 = 3

X = 3

Answer:

Step-by-step explanation:

The proportion of 16 to 4 is 4 so 1/4 of 16( 4/16 = 1/4)

So x would be 1/4 of 12

12/4 = 3

X = 3

Answer:

X + 2y = 6

first point : ( 0,3 )

second point : ( 4,1 )

third point : ( 2,2 )

forth point : ( 6,0 )

2x + 4y = 4

first point : ( 0,1 )

second point : ( 2,0 )

third point : ( -2,2 )

forth point : ( -4,3 )

Answer:

B. The quadrilaterals cannot be placed such that each occupies one-quarter of the circle because the vertices of parallelogram 1 do not form right angles.

E. The quadrilaterals cannot be placed such that each occupies one-quarter of the circle because the vertices of parallelogram 4 do not form right angles.

Step-by-step explanation:

P1: 12^2+15^2=20^2  144+225=400  369=400

P2: 16^2+30^2=34^2  256+900=1156  1156=1156

P3: 20^2+21^2=29^2  400+441=841  841=841

P4: 18^2+20^2=26^2  324+400=676  724=676

So the answers are B and E

Answer:

b and e

Step-by-step explanation:

Answer:

+4 each time

Step-by-step explanation:

Answer:

65x+4680

Step-by-step explanation:

Answer:

x=9 option C

Step-by-step explanation:

explanation above

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Answer:

5(x)+5(y)=10

10(x)+2(y)=12

Step-by-step explanation:

i just got done with that same thing

Answer:

1.2+0.75=1.95 pounds

Step-by-step explanation:

Answer:

5.0

Step-by-step explanation:

Answer:

37th term = -136

Step-by-step explanation:

Given:

Series;

460, 451 ,442

First term a = 460

Common difference D = 451 - 460 = -9

Find:

37th term

Computation:

37th term = a + 36D

37th term = 460 + 36(-9)

37th term = -136

Answer:

136

Step-by-step explanation:

Arithmetic Sequence.

Common Difference:

451−460=−9

442−451=−9

d=−9

Explicit Formula:

a{n}=a{1}+(n-1)d

a{37}=460+(36)(-9)

a{37}=136

=136

(Got it right on DeltaMath

Answer:

Proven Below

Step-by-step explanation:

If we rearrange these equations, we get that 3y = 5x + 7 and that 5y = -3x + 4. Next, to find what y equals on both equations, we divide by 3 on both sides of the first equation, where we would get that y = 5/3x + 7/3, and then divide by 5 on both sides of the second equation, where we would get that y = -3/5x + 4/5. Now, to see if two lines are perpendicular to each other, we have to see if the slopes (The number being multiplied by x. Ex.) In the equation y = 3/4x + 4, the slope is 3/4) are opposite reciprocals (If you multiply them and they are equal to -1. Ex.) 3/4 * -4/3 is equal to -1, so they are opposite reciprocals). In this case, we have -3/5 and 5/3 as slopes, and -3/5 * 5/3 is equal to -1, so they are perpendicular.

Answer:

The slope of the first line is 5/3

The slope for the second one is -3/5

If you multiply the 2 slope you have to end up with - 1

So 5/3*(-3/5)=-15/15 which is - 1

So yes the lines are perpenducular

Answer:

Step-by-step explanation:

Area=[tex]\frac{(6+16)9}{2}[/tex]

       =99 yd²

Answer:

7

Step-by-step explanation:

Molly bought 10 bags of the same dog food. She had a coupon for $5. She spent a total of $65. How much money was each bag of the dog food?

example:

ositive numbers

numbers greater than zero

Negative Numbers

numbers less than zero

Integers

whole numbers and their opposites

Absolute Value

The distance a number is from zero on a number line. ALWAYS POSITIVE

equation

A mathematical sentence that contains an equals sign.

more examples:

9- (-9)=

18

121 / -11

-11

2(n + 5) = −2

-6

9

−9x + 1 = −80

253 + 234=

487

−15 = −4m + 5

5

8n + 7 = 31

3

Hope this helps bsf

Answer:

English translate please so i can help you?

Step-by-step explanation:

Answer:

Look down below!

Step-by-step explanation:

Fist, make your inequality:

-x + 5y > -10

5y > x - 10

y = .2x - 2

Now, plug in any value of x to find y!

Ex:  x = 5...

y = .2 (5) - 2

y = -1

Your first coordinate could be (5, -1)

Hope this helps!

Answer:

B

Step-by-step explanation:

Answer:

medium, extra large

Step-by-step explanation:

BRAINLIEST PLEASE

(x-11)(7x-2)=0

x=11 or x=2/7

Answer:

x = [tex]\frac{2}{7}[/tex], x = 11

Step-by-step explanation:

Given

7x(x - 11) - 2(x - 11) = 0 ← factor out (x - 11) from each term

(x - 11)(7x - 2) = 0

Equate each factor to zero and solve for x

x - 11 = 0 ⇒ x = 11

7x - 2 = 0 ⇒ 7x = 2 ⇒ x = [tex]\frac{2}{7}[/tex]

Answer:

Area = 5542.488 unit^2

Circumference= 263.9 units

Step-by-step explanation:=

Given data

Radius= 42 units

Circumference= 2πr

C= 2*3.142*42

C=263.9 units

Area= πr^2

A= 3.142* 42^2

A= 3.142* 1764

A= 5542.488 unit^2

Answer:

C. 32

Explanation:

The square-cube law states that "When an object undergoes a proportional increase in size, its new surface area is proportional to the square of the multiplier and its new volume is proportional to the cube of the multiplier." This means that if the surface area of the cube is increased by a certain amount, the volume of the cube will increase by the cube of that.

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Works Cited:

https://en.wikipedia.org/wiki/Square%E2%80%93cube_law#:~:text=The%20square%E2%80%93cube%20law%20can,the%20cube%20of%20the%20multiplier.

The solution is, the volume of the figure increased by factor C. 32 , when The surface area of a rectangular prism is increased by a factor of 16.

A scale factor is when you enlarge a shape and each side is multiplied by the same number. This number is called the scale factor. Maps use scale factors to represent the distance between two places accurately.

here, we have,

The square-cube law states that "When an object undergoes a proportional increase in size,

its new surface area is proportional to the square of the multiplier and its new volume is proportional to the cube of the multiplier.

" This means that if the surface area of the cube is increased by a certain amount, the volume of the cube will increase by the cube of that.

Hence, The solution is, the volume of the figure increased by factor C. 32 , when The surface area of a rectangular prism is increased by a factor of 16.

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Answer:

162 ft^2

Step-by-step explanation:

the formula for finding the area of a triangle is [tex]\frac{b*h}{2}[/tex]

the base is 27 and the height is 12

[tex]\frac{27*12}{2}=\frac{324}{2} = 162[/tex]