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Leonard made a deposit of $4,500 into a savings account which earns 7% annual compound interest. Assuming he makes no other deposits or withdrawals, which of the following shows the amount of interest his account should earn after 15 years?

Answers

Answer 1

Answer:

29.6925

Step-by-step explanation:


Related Questions

Recall what you know about similarity. If circle B is similar to circle A, what must exist?

Answers

The similarities of two circles is dependent on the radius of circle A and circle B. So the radius of both circles must exist for the circles to be similar.

Given that:

Circles A and B

To prove the similarities of the two circles, the radius of both circles must be known.

Assume the radius of circle A is [tex]r_A[/tex] and the radius of circle B is [tex]r_B[/tex].

The similarity of both circles is proved using:

[tex]r_A = k * r_B[/tex]

or

[tex]r_B = k * r_A[/tex]

where k represents the scale of dilation

Hence, the radius of both circles must exist for the circles to be similar.

Read more about circle similarities at:

https://brainly.com/question/403891

i need help with this plz

Answers

Answer:

-4 is the correct answer

Answer:

y=18

Step-by-step explanation:

equation:y=3x -7

x=7 then y =?

substitute the vale of x in the equation

y=3x-7

y=3*7-7

y=21-7

y=18

therefore the value of y corresponds to 7 is 18.

Two points from the line of best fit can be used to find the slope of the line, which can be used to find the equation of the line. True or false?

Answers

Answer:

The statement is true.

Step-by-step explanation:

Let the two points are (x', y') and (x'', y'').

The equation of line passing through the two  points is

[tex](y - y')=\frac{y''-y'}{x''-x'}\times (x - x')[/tex]

So, it is true to find the equation of line when the two points is given.  

If a1 = 6 and an = 3 + 2(an-1), then a2 equals

no links

Answers

Answer:

15

Step-by-step explanation:

Given that a1 = 6

an =  3 + 2(an-1),

Substitute n = 2 into the formula

a2 = 3 + 2(a1)

a2 = 3 + 2(6)

a2 = 3+12

a2 = 15

Hence the second term of the sequence is 15

How do I do this ? no links please

Answers

Ask your teacher. It’s the best help you can get because this doesn’t make any sense. To get your teachers help a quick email would do

Hey there!


ASSUMING….
-14.4 = -1.2m

-1.2m = -14.4

DIVIDE -1.2 to BOTH SIDES

-1.2m/-1.2 = -14.4/-1.2

SIMPLIFY IT!

m = -14.4/-1.2

m = 12


Therefore, the answer should be:

m = 12


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

Please help find volume of cone

Answers

Answer:

5275.2 m³

Step-by-step explanation:

We need the radius first:

[tex]\sqrt{l^2- h^2}[/tex] = 12

Formula for volume = πr²*h/3

Volume = 3.14 * 144 * 35/3

Volume = 5275.2

If my answer is incorrect, pls correct me!

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

-Chetan K

what is the average rate of change from x equals negative 1 to x equals 1​

Answers

Answer:

This question is incomplete, so I can not give you an exact answer, but I can give you the answer for the general case.

If we have a function f(x), the average rate of change between the values:

x = a and x = b,

is given by:

[tex]r = \frac{f(b) - f(a)}{b - a}[/tex]

So if we want to find the rate of change from:

x = -1 to x = 1

it is just:

[tex]r = \frac{f(1) - f(-1)}{1 - (-1)} = \frac{f(1) - f(-1)}{2}[/tex]

So just to show an example, if:

f(x) = 3*x^2 - 5

the average rate of change in that interval will be:

[tex]r = \frac{f(1) - f(-1)}{2} = \frac{3*1^2 - 5 - (3*(-1)^2 - 5)}{2} = \frac{-2 - (-2)}{2} = 0[/tex]

Help please i forgot the options on the last one sorry

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

The x-intercept of the graph is -7. (or (-7, 0). )

»»————- ★ ————-««  

Here’s why:

⸻⸻⸻⸻

[tex]\boxed{\text{Finding the Slope for the line:}}\\\\m = \frac{8-0}{1-(-7)}\\\\m = \frac{8}{8}\\\\\boxed{m = 1}[/tex]

⸻⸻⸻⸻

Option B is a false statement.

⸻⸻⸻⸻

We can tell with the point (-7,0) that the 'x' intercept of the function is -7.

⸻⸻⸻⸻

The line does not pass (7,0), making option C a false statement.

⸻⸻⸻⸻

The line also does not pass (-1, -8), making option D a false statement.

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Box A has 14 black pens and 6 blue pens box B has 9 black pens and 3 blue pens a pen is randomly chosen from each box list these events from least likely to most likely

Answers

Answer:

The list of these events from least likely to most likely is Blue-Blue -> Black-Blue -> Blue-Black -> Black-Black

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Possible outcomes:

Black - Black

Black - Blue

Blue - Black

Blue - Blue

Probability of each outcome:

Black-Black:

14 out of 20, and then 9 out of 12. So

[tex]P_{BkBk} = \frac{14}{20} \times {9}{12} = \frac{14*9}{20*12} = \frac{126}{240}[/tex]

Black-Blue:

14 out of 20, then 3 out of 12. So

[tex]P_{BkBl} = \frac{14}{20} \times {3}{12} = \frac{14*3}{20*12} = \frac{42}{240}[/tex]

Less likely than black-black.

Blue - Black:

6 out of 20, then 9 out of 12. SO

[tex]P_{BlBk} = \frac{6}{20} \times {9}{12} = \frac{6*9}{20*12} = \frac{54}{240}[/tex]

More likely than black-blue, less likely than black-black.

Blue - Blue

6 out of 20, then 3 out of 12

[tex]P_{BlBl} = \frac{6}{20} \times {3}{12} = \frac{6*3}{20*12} = \frac{18}{240}[/tex]

Least likely of the outcomes.

List these events from least likely to most likely:

The list of these events from least likely to most likely is Blue-Blue -> Black-Blue -> Blue-Black -> Black-Black

Sierra says that she can simplify the side of the inequality shown by combining the terms within the parentheses but that she​ can't do the same thing on the side. Is Sierra​ correct? Explain.

Answers

Answer:

Yes, Sierra is correct

Step-by-step explanation:

Given

[tex]4(y + 7) > -3 (4 + 5)[/tex]

Required

Is she correct

The right parenthesis has 4 + 5.

This can be simplified as: [tex]4 + 5 = 9[/tex]

So, we have:

[tex]4(y + 7) > -3 (4 + 5)[/tex]

[tex]4(y + 7) > -3 *9[/tex]

The left parenthesis has y + 7.

This cannot be simplified because y is a variable and 7 is a number.

Hence, Sierra is correct.

On the number line below, length
AB = [?]
A
В
16
45

Answers

Answer:

29

Step-by-step explanation:

45 - 16 =

A runs 25% faster than B and is able to give him a start of 7 metres to end a race in dead heat. What is the length of race?

Answers

Answer:

35 metres

Step-by-step explanation:

The question states that A runs 25% faster than B. This means that, for every 1 second that B runs, A runs 1.25 second

Assuming that the total length of the race, that we're looking for, is D. Then we can say that B made a total distance of D-7 meters, and A runs D.

time taken by A = [tex]\frac{D}{1.25}[/tex]

time taken by B = [tex]\frac{D-7}{1}[/tex]

equating both together, we have

[tex]\frac{D}{1.25}[/tex] = [tex]\frac{D-7}{1}[/tex]

1.25D  - 8.75 = D

1.25D - D = 8.75

0.25D = 8.75

D = 8.75/0.25

D = 35

determine the equation of the circle graphed below


( help please )

Answers

9514 1404 393

Answer:

  (x +2)^2 +(y -5)^2 = 9

Step-by-step explanation:

The circle shown has a radius of r = 3 and a center at (h, k) = (-2, 5).

The equation of a circle is ...

  (x -h)^2 +(y -k)^2 = r^2

For the given center and radius, the equation is ...

  (x +2)^2 +(y -5)^2 = 9

A caterer charges a setup fee of $50, plus $20 per person How much will the caterer charge if 35 people attend the party, and the customer has a coupon for $100 discount off the total?

Answers

They will charge $165 for each person
The answer is 650

20x35= 700

700+50 = 750

750-100= 650

What do you get when you subtract-3xy from 5xy

Answers

Answer:

8xy

Step-by-step explanation:

(5xy)-(-3xy)= 5xy+3xy=8xy

Why:

Well if you have 5 of that something and get 3 more of that something you have 8 of that something.

Answer:

8xy

Step-by-step explanation:

5xy--3xy

a - and a - equal a +, so it's 5xy+3xy, which equels 8xy.

What is the surface area of the cylinder with height 4 yd and radius 7 yd? Round your answer to the nearest thousandth.

Answers

Answer:

483.87yd^2

Step-by-step explanation:

Given data

Height= 4yd

Radius= 7yd

The expression for the surface area of a cylinder is given as

Surface area=  2πr (4+ 7)

Surface area= 2*π*7 (4 + 7)

Surface area = 14π (11)

Surface area= 154*3.142

Surface area= 483.87yd^2

Hence the surface area is 483.87yd^2


Can someone pleaseeee help and if you’re correct i’ll give brainliest

Answers

Answer:

70

Step-by-step explanation:

the figure shown is a parallelogram with a base length of 10 ft and a height of 7 ft

the area of a parallelogram can simply be calculated by multiplying the base length by the height

hence, area = 7 * 10 = 70

Answer: 10 times 7

Step-by-step explanation: 10 times 7

Calculate the area of triangle ABC with altitude CD, given A (−3, −4), B (−6, 2), C (0, 0), and D (−4, −2). (5 points)

Question 8 options:

1)

14 square units

2)

15 square units

3)

18 square units

4)

20 square units

Answers

Answer: 2) 15 square units

Step-by-step explanation:

The area of the triangle is 15 square units if the triangle ABC with altitude CD, given A (-3, -4), B (-6, 2), C (0, 0), and D (-4, -2) which is correct option (2)

What is the distance between two points?

The distance between two points is defined as the length of the line segment between two places represents their distance. Most significantly, segments that have the same length are referred to as congruent segments and the distance between two places is always positive.

The formula of distance between two points is P(x₁, y₁) and Q(x₂, y₂) is given by: d (P, Q) = √ (x₂ – x₁)² + (y₂ – y₁) ².

Given that a triangle ABC with altitude CD.

The coordinates for the triangle are A (-3, -4), B (-6, 2), C (0, 0), and D (-4, -2)

Given that the distance between C and D will be the height of the triangle

Since, the distance between the points by using the distance formula:

= √ (x₂ – x₁)² + (y₂ – y₁) ².

height = √ (-4 – 0)² + (-2 – 0) ²

height = √20

base = √45

Area of triangle = (1/2)base x height

Area of triangle = (1/2)√20×√45

Area of triangle = (1/2)30

Area of triangle = 15 square units

Hence, the area of the triangle is 15 square units if the triangle ABC with altitude CD

Learn more about distance between two points here:

https://brainly.com/question/15958176

#SPJ2

What is the equation for a parabola if the vertex is at (5,4) and goes through the point (3,-8)

Answers

Answer:

[tex]y=-3(x-5)^2+4[/tex]

Step-by-step explanation:

Hi there!

Given the vertex of a parabola and a point, it's easiest to organize the equation in vertex form:

[tex]y=a(x-h)^2+k[/tex] where the vertex is located at [tex](h,k)[/tex] and a is a numerical value

1) Plug the vertex into the equation

[tex]y=a(x-h)^2+k[/tex]

Plug in the vertex (5,4)

[tex]y=a(x-5)^2+4[/tex]

2) Solve for a

[tex]y=a(x-5)^2+4[/tex]

Plug in the given point (3,-8) and solve for a

[tex]-8=a(3-5)^2+4\\-8=a(-2)^2+4\\-8=4a+4[/tex]

Subtract 4 from both sides

[tex]-8-4=4a+4-4\\-12=4a[/tex]

Divide both sides by 4

[tex]\frac{-12}{4} = \frac{4a}{4} \\-3=a[/tex]

Therefore, a=-3. Plug this back into [tex]y=a(x-5)^2+4[/tex]:

[tex]y=-3(x-5)^2+4[/tex]

I hope this helps!

Which of the following number patterns uses the rule below

Each number in the pattern is four times the previous number


A.6,24,48,72

B.7,21,63,189

C.5,20,80,320

D.4,20,100,500


DO NOT ANSWER IF YOUR NOT AT ACE LEVEL

Answers

The answer to the question is C. 5,20,80,320

Step-by-step explanation:

5*4=20

20*4=80

80*4=320

can someone help me with this problem!

Answers

C. -1

Hope this helps! :)

______________

Answer:

-1

Step-by-step explanation:

Simplify the real and imaginary parts of the expression. That’s probably as simple as i can get it.

Hope this helps! :)

Round 187.890 to the nearest 10 000

Answers

Answer:

190,000

190,000

190,000

Step-by-step explanation:

190,000

190,000

WILL GIVE BRAINLIST


WRITE THE PHRASE AS A VARIABLE EXPRESSION. USE X TO REPRESENT “a number”



THE PRODUCT OF 4 AND A NUMBER

Answers

Answer:

x+14.  

Sum of a number and 14 is x+14.

 

What is 16.99 times 0.80

Answers

Answer:

Hi, there your answer is 13.592

Step-by-step explanation:

Select all of the following that are equivalent to 1 10,000 1 A. (10,000) B.(-10,000 D c. 100) ( O D. (10)​

Answers

Answer:

A. 10,000

Step-by-step explanation:

A. is 10,000, so it is equivalent to 10,000

B. -10,000    No

C. 100   No.

D. 10   No.

Please help me quick…


Answers

20- +3

21- -7

22- +4

23- 8

24- 4

ask your teacher for further guidance because explaining negatives is difficult for me

Answer:

20) - 2+5

= 3

21) 8+(-15)

=8 - 15

= - 7

22) - 10 +14

= 4

23) 6-(-2)

=6 +2

= 8

24) - 16-(-20)

= - 16 +20

= 4

Step-by-step explanation:

This is step by step explanation

Please Mark me brainlist

Solve this equation

2 . B - 19 = -11

Answers

Answer:

B=8

Step-by-step explanation:

you add 19 to both sides of the equation to get B by itself.

[tex]B=-11+19\\B=8[/tex]

answer:

8,

reason

11+8=19

alalalalalalalaalalalalal

20character minimum^

Find m 22 in the figure below.
95°
2
72°

Answers

Answer:

<2= 23°

Step-by-step explanation:

180°- 95°= 85°

(95° is on a straight line, angles on a straight line adds up to 180° so 95° is being subtracted from 180°. Therefore the next angle in the triangle will be 85°)

To find <2

180- (85°+ 72°)

(Angles on a triangle adds up to 180°)

180- 157

= 23

Find the solution(s) to the system of equations represented in the graph.

A. (0, 3) and (3, 0)
B. (0, 3) and (−3, 0)
C. (0, −3) and (3, 0)
D. (0, −3) and (−3, 0)

Answers

Answer:

(-3,0) and (0,3)

Step-by-step explanation:

The solution to the system of equation is where the two graphs intersect

The intersect at two points

(-3,0) and (0,3)

Round to the nearest cent or whole number as needed. How many males had fatal car accidents last year if there were 1761 fatal car accidents and about 42% of the fatalities were male?

Answers

Answer:

740

Step-by-step explanation:

42% of 1761 = 0.42 * 1761 = 739.62

Answer: 740

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