If you deposit \$4,500 at 5\% annual interest compounded quarterly, how much money will be in the account after 10 years? PLEASE SHOW WORK

Answer:

X = 20

Step-by-step explanation:

To get the answer, we can set this up like a ratio.

First, we need to get the missing side of the small triangle. Using [tex]a^{2} +b^{2} = c^{2}[/tex] we get [tex]9^{2} +b^{2} =15^{2}[/tex]

[tex]9^{2} +b^{2} =15^{2}[/tex] square

[tex]81 +b^{2} = 225[/tex] subtract 81 from 225

[tex]b^{2} =144[/tex] square root

[tex]b=12[/tex]

Set up a ratio:

[tex]\frac{9}{15} = \frac{12}{x}[/tex]

[tex]\frac{3}{5} =\frac{12}{x}\\3x=60\\x=20[/tex]

Answer:

D = 0

Step-by-step explanation:

Given

x-intercept = -3

Required

What does the discriminant represent?

The discriminant of a quadratic function can take any 3 values; these are as follows;

Which translates to

The question says that x-intercept = -3 is the only value;

This means that: x = -3 or x = -3

Analyzing the roots

This means they satisfy condition number 3;

Hence, D = 0

Answer:

We need to know the other marbles in the bag and how many there are of each.

Answer:

Step-by-step explanation:

Area of triangle = 1/2 × b × h

= 1/2 × 24 × 16

= 192 cm^2

Hope this helps

plz mark as brainliest!!!!

Answer:

192 cm²

Step-by-step explanation:

Area of a triangle is equal to base × height × 1/2.

24 × 16 × 1/2

384 × 1/2

= 192

Answer:

25 and 8

Step-by-step explanation:

a/b = 3.125

a/b = 3125/1000

make it simple (divide by 25)

a/b = 125/40

ah, can be more simple (divide by 5)

a/b = 25/8

see 25 + 8 is less than 50

Step-by-step explanation:

1.25/8=3.125

50/16=3.125

but it tells that both two numbers are less than 50 then,the numbers are 25 and 8

The result is number [tex]r[/tex] where:

[tex]r=(120+120\cdot\frac{d}{100})+(120+120\cdot\frac{d}{100})\cdot\frac{25}{100}[/tex]

Hope this helps.

the 10 th term for the sequence 1,3,5,7..... is 19

Step-by-step explanation:

n = 1; 1st = 2*1–1=1;

n= 2; 2nd =2*2–1=3;

n =3; 3rd =2*3–1=5;

n=4; 4th =2*4–1=7;

n=5; 5th =2*5–1=9;

n=6; 6th =2*6–1=11;

n=7; 7th = 2*7-1= 13

n= 8; 8th = 2*8-1 =15

n = 9; 9th = 2*9-1 = 17

n= 10; 10th = 2*10-1 =19

Answer:

(5x−3)(x−4)

Step-by-step explanation:

5x2−23x+12

5x2−23x+12

=(5x−3)(x−4)

Answer:

Step-by-step explanation:

The domain of a function is the set of values that satisfies the independent variable while the range of the function is the set of values that satisfies the dependent variable.

Since for each game, the amount of money that the Duke Blue Devils’ athletic program brings in as revenue is a function of the number of people in attendance, then the dependent variable is the amount of money while the independent variable is the number of people. The domain is between 0 and 9460 people. Therefore, the domain of this function is

0 ≤ x ≤ 9460

Where x represents number of people.

For the range, the lowest total sales is 0 × 45.5 = $0

The highest total sales is

9460 × 45.5 = $430430

The range is

0 ≤ y ≤ 430430

Where y represents total sales

Answer:

Length ≈ 31cm

Width ≈ 10cm

Step-by-step explanation:

[tex]Let -the-length-be : x\\Let-the-width-be :y\\\\According- to- the- question ; \\x = 3(y)\\x=3y ---------(1)\\2(l+w)=82\\2(x+y)=82\\2x+2y =82 --------(2)\\Substitute- the - given- value- for ; x -in - equation---(1) into -equation (2)\\2(3y)+2y =82\\6y+2y=82\\8y =82\\\frac{8y}{8} =\frac{82}{8} \\y = 10.25\\\\Substitute 10.25 -for ;y -in -eq 1\\x=3y ---------(1)\\x = 3(10.25)\\x = 30.75[/tex]

CHECK

[tex]Length =31\\Width = 10\\P = ?\\P= 2(l+w)\\P = 2(31+10)\\P = 2(41)\\P= 82cm[/tex]

Answer

Step-by-step explanation:

Step-by-step explanation:

[tex]x \: and \: \frac{1}{2} x \: and \: \frac{ \sqrt{3} }{2} x[/tex]

because

[tex] \sin(30) = \frac{1}{2} \\ \sin(60) = \frac{ \sqrt{3} }{2} [/tex]

Answer: your answer is A

Step-by-step explanation: when you have a 30 6090 triangle your sides will always have a set pattern. Decide across from the 30 angle will be equal to n decide across from the 60 angle Will always be equal to n sqared

Answer:

x+y=5a

5a is added to b which is the sum of x and y multiplied by 3. That is, b=x+y×3=5a×3=15a

Since, 5a is added to b= 5a+15a=20a,

Answer:

x+8

Step-by-step explanation:

[tex]3\times(x+2)+2\times(1-x)=\\\\3(x)+3(2)+2(1)+2(-x)=\\\\3x+6+2-2x=\\\\x+8[/tex]

Hope this helps!

Answer:

x + 8

Step-by-step explanation:

3 × (x + 2) + 2 × (1 - x)

3(x + 2) + 2(1 - x)

Expand the brackets.

3(x) + 3(2) + 2(1) + 2(-x)

Multiply the terms.

3x + 6 + 2 + -2x

Rearrange.

3x + - 2x + 6 + 2

Add like terms.

1x + 8

Answer:

0,.96 : 0.04 =24

Step-by-step explanation:

96 : 4 = 24 because 24 * 4 is 96

9.6 : 0.4 = 24 because 24 * 0.4 = 9.6

0.96 : 0.04 = 24 because 24 * 0.04 = 0.96

or

0.96 / 0.04 = 9.6 / 0.4 = 96 / 4 = 24

Answer:

d

Step-by-step explanation:

only a scalence triangle has all sides with different length

Answer:

r = 5  

I just turned it in it was correct

Step-by-step explanation:

please mark brainliest

Answer:

7 = 2 + r

Step-by-step explanation:

So since we know the hanger is balanced, we can determine that r = the amt. of the other side - 2. =>

We can count the amt. of "1" on the side of the hanger with only 1 --> to get 7 "1" which is 7(1) = 7.

The other side with "r" has 2 "1" thus --> 2(1) = 2

So, 7 = 2 + r is our equation and if we were to solve for r, => r = 5

Hope this helps!

Answer:

We will fill 6 containers with 3/7 of another full

Step-by-step explanation:

Take the number of cups of flour and divide by the amount each container will hold

15 ÷ 2 1/3

Change to an improper fraction

15 ÷ ( 3*2+1)/3

15÷ 7/3

Copy dot flip

15 * 3/7

45/7

Change to a mixed number

6*7 = 42 with 3 left over

6 3/7

We will fill 6 containers with 3/7 of another full

Answer:

6 full and 3/7 of container

Step-by-step explanation:

15 cups divided by 2 1/3

(15) /2 1/3 =45/7=6.429  you need 7 containers

6 containers full and 3/7 of container

Answer:

D.It is a trinomial with a degree of 3.

Step-by-step explanation:

3 terms one to the power of 3

Answer: C

Step-by-step explanation:

Answer:

The third one. Y= -1/2x^2 -2x -1

Step-by-step explanation:

Answer:

x/25

Step-by-step explanation:

Answer:

In the photo

Step-by-step explanation:

Simply multiply the numbers out of the brackets to the numbers in them, adhering to algebraic rules.

Answer:

the one above me is right expet for 2 of them purple and orange

Step-by-step explanation:

it was right on edge

Answer

D: 132 ft

C= π2r

So, take pi and multiply that by two..

π2= 6.28

Now, take your radius and multiply it by 6.28.

21 x 6.28= 131.88

Round it two the nearest whole number, which is 132!

Hope this helps!

The formula for circumference is C = 2 x pi x radius

c = 2 x 22/7 x 21

C = 132

The circumference is 132 feet

Answer:

b

Step-by-step explanation:

not a because equilateral would be all equal

scalene is all different

Answer:

scalene

Step-by-step explanation:

because all  sides are different.

Answer:

2 root 10/ 7, or the second option.

Step-by-step explanation:

If a is 3, then b is root 40. (Pythagorean)

root 40= root 4x10, or 2 root 10

Tangent= opposite/hypotenuse

Tangent= 2 root 10/ 7

I'm assuming you meant to say

P(A) = 2/3

P(A and B) = 1/3

If that is the case, then A and B are independent if and only if the following equation is true

P(A and B) = P(A)*P(B)

So we multiply P(A) and P(B) to get the value of P(A and B). We don't know what P(B) is, but we can use algebra to find it

-------------------------

P(A and B) = P(A)*P(B)

P(A)*P(B) = P(A and B)

(2/3)*P(B) = 1/3

P(B) = (1/3)*(3/2) .... multiply both sides by the reciprocal of 2/3

P(B) = (1*3)/(3*2)

------------------------

If P(B) = 1/2, then

P(A and B) = P(A)*P(B)

P(A and B) = (2/3)*(1/2)

P(A and B) = (2*1)/(3*2)

P(A and B) = 1/3

Which is the given probability for both events happening. This confirms we have the correct P(B) value.

Answer: Francisco is correct

Step-by-step explanation:

Positive 4 and positive 7

Negative 3 and negative 2

4 * 7 = 28

-3 * -2 = 6

Answer:

x = 40

Step-by-step explanation:

Step 1: Write out an equation

4/5(x) = 32

Step 2: Solve by dividing both sides by 4/5

x = 32/(4/5)

Use KCF (Keep Change Flip) if you do not have a calc.

x = 40

Answer:

The answer is 40

Step-by-step explanation:

32 times 5 is 160

then: 160 divided by 4 is 40.

check the answer: 4/5 of 40 is 32

because 40 divided by 5 is 8 and then times 8 by 4, so the answer would be 40.

Answer:

5[tex]x^{4}[/tex] - 8x² + 4

Step-by-step explanation:

Split the numerator, dividing each term by 4x³ , that is

[tex]\frac{20x^{7} }{4x^{3} }[/tex] - [tex]\frac{32x^{5} }{4x^{3} }[/tex] + [tex]\frac{16x^{3} }{4x^{3} }[/tex]

= 5[tex]x^{4}[/tex] - 8x² + 4 ← quotient

Answer:

Domain:  

(

−

∞

,

∞

)

,

{

x

|

x

∈

R

}

(-∞,∞),{x|x∈ℝ}

Range:  

[

−

4

,

∞

)

,

{

y

|

y

≥

−

4

}

[-4,∞),{y|y≥-4}

Step-by-step explanation: