Marsha deposited ​$7,500 into a savings account 5 years ago. The simple interest rate is 3​%. How much money did Marsha earn in​ interest? What would be her new account​ balance?

Answer:

433.5

Step-by-step explanation:

The volume of the cone with a radius of 6ft and a height of 10ft is approximately 301.4 cubic feet.

A cone is simply a 3-dimensional geometric shape with a flat base and a curved surface pointed towards the top.

The volume of a cone is expressed as;

V = (1/3)πr²h

Where r is the radius of the base, h is the height of the cone and π is constant pi ( π = 3.14 ).

From the diagram:

Slant height l = 10 ft

Radius r = 6 ft

Height h =?

Volume V =?

First, we determine the height of the cone using Pythagoras theorem:

h² = 10² - 6²

h² = 100 - 36

h² = 64

h = √64

h = 8

Plug the values into the above formula and solve for the volume:

V = (1/3)πr²h

V = (1/3) × 3.14 × 6² × 8

V = (1/3) × 3.14 × 36 × 8

V = 301.4 ft³

Therefore, the volume is approximately 301.4 cubic feet.

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Answer:

D) 6^5 · 3^5

Step-by-step explanation:

(6 · 3)^5 = 1889568

A) WRONG

(5 · (6 · 3)) = 90

B) WRONG

9^5 = 59049

C) WRONG

6 · 3^5 = 1458

D) CORRECT

6^5 · 3^5 = 1889568

Answer:

The number of days in y hours is y/24

Step-by-step explanation:

Here, we want to write an expression

Mathematically;

1 day = 24 hours

? days = y hours

? days = (y * 1)/24

? days = y/24

Given:  

Number 1X2Y6Z is divisible by 9.

To find:  

The least value of  X+Y+Z = ?

Solution:  

First of all, let us learn the divisibility rule of 9.  

A given number will be divisible by 9 if and only if the sum of digits of the given number is also divisible by 9.

For example:

Let us consider a number 923463.  

The sum of digits = 9 + 2 + 3 + 4 + 6 + 3 = 27  

27 is divisible by 9 so the number 923463 will also be divisible by 9.

Let us consider another example 8972.  

Sum of digits = 26  

26 is not divisible by 9 so the number 8972 will also be not divisible by 9.

Now, we are given the number 1X2Y6Z.  

Sum of digits = 1 + X + 2 + Y + 6 + Z = 9 + X+Y+Z

The number 1X2Y6Z will be divisible by if 9+X+Y+Z is divisible by 9.  

The least value of X+Y+Z can be zero, so the sum of digits = 9 + 0 = 9  

which will make the number 1X2Y6Z divisible by 9.

So, the answer is:

Least value of X+Y+Z = 0 so that the number 1X2Y6Z is divisible by 9.

9514 1404 393

Answer:

  0

Step-by-step explanation:

For a number to be divisible by 9, the sum of the digits must be divisible by 9. The given digits total 9, so x+y+z must be a multiple of 9. The least possible multiple of 9 is 0.

The least value of x+y+z is 0.

_____

102060/9 = 11340

Answer:

Fungi and bacteria

Hope that helps!

Step-by-step explanation:

Answer:

fungi and bacteria

Step-by-step explanation:

Answer:

A: cow :milk bc it comes ot the cow like the egg comes out the chicken

Answer:

a) length of sides remain unchanged

Step-by-step explanation:

Answer:

Down below

Step-by-step explanation:

The graph is attached to the answer.

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

Given is a function,

g(x) = -3, -8≤x-2

          1, -2≤x≤4

          5, 4≤x≤10

The function g(x) is a discrete function. It is continuous between -8 to -2, -2 to 4, and 4 to 10.

And the open circle at -8, -2, 4, and 10.

More about the function; click,

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Answer:

5.670, 56.27,5.72.

Step-by-step explanation:

All you do is pay attention to that decimal and remember that the places where the numbers are present; they are invisible zero so,

56.72 is the same as 56.720000.

It's pretty clear for this question since the numbers are clear so all you do is look at the decimals.

Answer:

y=-7/4x+6

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-1-6)/(4-0)

m=-7/4

y-y1=m(x-x1)

y-6=-7/4(x-0)

y-6=-7/4(x)

y-6=-7/4x

y=-7/4x+6

Answer:

c times m

Step-by-step explanation:

hope this helps :b

Answer:

huh

Step-by-step explanation:

64 cm

(Pls brainliest)

Answer:

C

Step-by-step explanation:

The line rises up 8, and the run is 2, 8/2=4.

Answer:

x=4

Step-by-step explanation:

if AB = 2x-5 and AC = 3x-9 and AB=AC then:

2x-5 = 3x-9

-x-5=-9

-x=-4

x=4

Answer:

is there a picture of the figure?

Step-by-step explanation:

maybe 98 is an answer.

Answer:

Maria needs to start at 9:20 in order to make it to the terminal.

Step-by-step explanation:

2:30 + 0:20 = 2:50. 12:10 - 2:50 = 9:20.

Answer:

25

Step-by-step explanation:

Answer:

44.4 degrees

Step-by-step explanation:

Given the following

Hypotenuse = 7

Longer leg = 5 (adjacent])

Let the acute angle angle between both sides be x

According to SOH CAH TOA

Cos theta = adj/hyp

Cos x = 5/7

x= arccos (5/7)

x = arccos (0.7143)

x = 44.4degrees

Hence he measure of the acute angle that is included between the longer leg and the hypotenuse is 44.4 degrees

Answer:

D.39

Step-by-step explanation:

Pythagorean Theorem: a^2+b^2=c^2 (Where a and b are the legs of the triangle and c is the hypotenuse)

Using this:

(AB)^2+(AC)^2=(BC)^2 (Pythagorean theorem)

15^2+36^2=(BC)^2 (Substitution)

225+1296=(BC)^2

(BC)^2=1521

BC=39

Answer:

D. 39

Step-by-step explanation:

The three interior angles of a right triangle always have a sum of 180°, and right angles always equal 90°.

Adding the angles shown here,

36+15+90 = 141

And, 180 - 141 = 39°.

Therefore, the length of angle BC is 39°.

Answer:

x = 14

∠ABD = 66

∠DBC = 24

Step-by-step explanation:

The sum of the two angles is 90 degrees, so:

3 (x + 8) + 2x - 4 = 90      (distribute 3)

3x + 24 + 2x - 4 = 90       (simplify)

5x + 20 = 90            (subtract 20 from both sides)

5x = 70            (divide both sides by 5)

x = 14

∠ABD = 3 (x + 8)       (plug in 14)

∠ABD = 3 (14 + 8)      simplify

∠ABD = 3 (22)

∠ABD = 66

∠DBC = 2x - 4       (plug in 14)

∠DBC = 2(14) - 4     (simplify)

∠DBC = 28 - 4

∠DBC = 24

To check, 66+24=90.

Answer:

The answer I got was

3(-26+8) = -54

2(-26)-4 = -56

Step-by-step explanation:

3(x+8)=2x−4

(3)(x)+(3)(8)=2x+−4(Distribute)

3x+24=2x+−4

3x+24=2x−4

Then subtract 2x from each side

Once then you have X substitute that number with X and you should get your answer.

So do 3(-26+8) and then 2(-26)-4 which then

3(-26+8)=

2(-26)-4 =

Answer:

D) (-2, -9)

Step-by-step explanation:

X( -11, 8)

M(-6.5, -0.5)

-11 - (-6.5) = -11 + 6.5 = -4.5

8 - (-0.5) = 8 + 0.5 = 8.5

To get from Midpoint to endpoint:

(x , y) → (x - 4.5, y + 8.5)

Y endpoint:

M(-6.5, -0.5) → (-6.5 + 4.5, -0.5 - 8.5)

Y( -2, -9)

Answer:

id k if it's right but i hope this helps :)

Step-by-step explanation:

Hello!

This is a question about multiplying to get a polynomial answer.

Here we can use two strategies, which will get you the same strategy.

One is using a Punnett Square, and the other would be FOILing.

I personally like Punnett Squares, but I will use FOILing for the sake of being online.

FOIL stands for First, Outside, Inside, Last, which describes how the terms should be multiplied.

Let's multiply the first terms.

(-d + e)(4e + d)

[tex]-4de[/tex]

The outside terms.

(-d + e)(4e + d)

[tex]-d^2[/tex]

The inside terms.

(-d + e)(4e + d)

[tex]4e^2[/tex]

The last terms.

(-d + e)(4e + d)

[tex]de[/tex]

Now you just add them together to find the polynomial.

[tex]-d^2+4e^2-4de+de[/tex]

[tex]-d^2+4e^2-3de[/tex]

There are three terms in the product, and the product is degree 2, since the highest degree of the equation (the highest power any term is raised to) is 2.

Hope this helps!

B and E are the answers to find the product of (-d+e)(4e+d).

Answer:

175%

Step-by-step explanation:

The first one is a whole=1

the second one is cut in four but only 3 are shaded so 1/4=0.25    0.25*3=0.75

3/4/0.75 is shaded

so 1+0.75=1.75

1.75=175%

Answer:

perimeter = 30.56 units

Step-by-step explanation:

perimeter of full circle = 2(4)(3.14) = 25.12

perimeter of semi circle = (25.12)(0.5) = 12.56

perimeter = 12.56 + 10 + 8 = 30.56