2. You deposit $1200 into a bank account. Every year that accounts increase by 15 %.
a) Identify whether this an Exponential Growth or Decay function and write the equation of the
function

Answers

Answer 1

Answer:

Exponential Growth, 1200(1.15)

Step-by-step explanation:

It is a Growth function because it is "increasing" yearly. The equation is multiplying with 1.15 because when it is increasing, you need to add 1 to the percentage rate.


Related Questions

Can someone help me find the length of b of the unknown side in this triangle? Thanks! :)

Answers

Answer: 4

Step-by-step explanation:

Using pythagoras theorem =>

b=[tex]\sqrt{c^2-a^2[/tex]

b=[tex]\sqrt{5^2-3^2}[/tex]

b=[tex]\sqrt{25-9}[/tex]

b=[tex]\sqrt{16}[/tex]

b=4

Answer:

4

Step-by-step explanation:

Use the Pythagorean Theorem:

[tex]a^2+b^2=c^2[/tex]

The measure of the hypotenuse is 5. The measure of the given leg is 3.

[tex]3^2+b^2=5^2\\\rightarrow 3^2 = 9; 5^2=25\\9+b^2=25\\9-9+b^2=25-9 \leftarrow \text {Subtraction Property of Equality} \\b^2=16\\\sqrt{b^2}=\sqrt{16} \leftarrow \text {Square Root Property of Equality}\\\boxed {b=4}[/tex]

The unknown side of the triangle should be four units.

Find the area of the trapezoid.

Answers

Answer:

49

Step-by-step explanation:

Area for a trapezoid is A=(a+b/2)h

A = ((4 + 10)/2)

A = (7)*h

A = 7*7

A = 49

Answer:

96

Step-by-step explanation:

3 x 4= 12

3 x 7=21

21

x 4

___

84

+12

___

96

I have no access at 6 pm

Answers

Answer:

A and E

Step-by-step explanation:

I would plug in N as any number just to see if they are equal. I did 5.

A. 28(5)-35= -105

B. 28(5-35)= -840

C. 28(5-7)= -56

D. 7(4*5-35)= -105

E. 7(4*5-5)=  105

Look at the pic in the corner it’s math

Answers

Answer:

The third one

Step-by-step explanation:

Its because we need to find the number that it has grown.

so we add the number that it grew to the size it was before.

Answer: 1.85 + x = 5.30

Step-by-step explanation: If we know that Ethan planted a tree that was 1.85 meters tall from the start and several years later it's 5.30 meters tall, we know that something must have been added to the 1.85 in order to get 5.30 meters tall. Since we don't know what that value is, we can use x.

X is an example of a variable. A variable is just a letter that represents any number so in this case, it represents how much the tree has grown over a time period of several years.

So we can write this as 1.85 + x = 1.30.

Jackson at the collectibles fair. He has exactly $8 and will purchase a collectible from a vendor for $5. What percent of his money will Jackson spend on the purchase?

Answers

Answer:

62.5%

Step-by-step explanation:

Total money with Jackson = $8

Money spent for buying collectible  = $5

__________________________________________________

Percentage of any number A with respect to another number B is calculated by multiplying fraction A/B with 100

Numerically A as percentage of b will be expressed as (A/B)100 %

It means that if there are 100 items instead of B item then what will be the value of A.

______________________________________________________

Percentage of money spent = (Money spent for buying collectible /Total money with Jackson)

Substituting the total money and money spent for buying collectible

we have

Percentage of money spent  = 5/8 * 100 = 0.625*100 = 62.5%

Thus, 62.5% percent of his money will Jackson spend on the purchase of collectible.

Find the area of a right triangle with a base of 38 cm and height of 26 cm.
A) 128 cm2
B) 247 cm2
C) 324 cm2
D) 494 cm2

Answers

Answer:

494cm2

Step-by-step explanation:

Área = (base × height)/2

Área=(38×26)/2=988/2=494cm²

Answer:
D.) 494 cm2

Step by Step:
38x26=988
988/2=494

what is the y-intercept of the graph of the equation y=4x(3x) A; (0,4) B: (0,3) C;(0,12) D:(0,8)

Answers

Answer:

To find y intercept x should be 0.

And in this.

Y=4x.3x

Y=4*0*3*0

Y=0 answer.

Which expression is a cube root of -2?
A. Cubed root of 2 (cos(90°) + isin(90°))
B. Cubed root of 2 (cos(120°) + isin(120°))
C.cubed root of 2 (cos(60°) + isin(60°)).
D. Cubed root of 2 (cos(260°) + isin(260°))

Answers

If you raise a cube root of -2 to the third power, the resulting number will have a congruent argument. We have

-2 = 2(cos 180º + i sin 180º)

Pick a number from the 4 given options, and raise it to the third power using DeMoivre's theorem. For example,

[tex]\left(\sqrt[3]{2}\left(\cos90^\circ+i\sin90^\circ\right)\right)^3=2\left(\cos(3\cdot90^\circ)+i\sin(3\cdot90^\circ)\right)=2(\cos270^\circ+i\sin270^\circ)=-2i[/tex]

so the first option is not a cube root of -2 because the argument 270º is not congruent to 180º. Similarly, the second and fourth options are also not cube roots of -2.

On the other hand,

[tex]\left(\sqrt[3]{2}(\cos60^\circ+i\sin60^\circ)\right)^3=2(\cos180^\circ+i\sin180^\circ)[/tex]

so the third option is a cube root of -2.

PLEASE HELP ME!!!!!!!! I CANT GET IT! PLEASE HELP QUICKLY!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

The length of a rectangle is four times its width. The width of this rectangle is 9 inches less than its length. Find the length and the width of the rectangle.

Answers

You answer would be 27, if I did my maths correct.

You get 27 by doing:

9*4=36

36-9=27

Correct me if I am wrong thank you!

Answer:

At first I got 39 but then I redid it and got 27!

Scott has jaunt baked 24 cookies he want to put them in a paper bags in groups of 5 how many groups of 5 can he make how many cookies will he have remaining

Answers

Answer:

He can make 4 groups as for the 5th group he left with 4 cookies.

So your answer would be 4 groups and 4 cookies.

hope it helps!

Please calculate the volume of the triangular prism (MIDDLE SCHOOL MATH)​

Answers

Answer:

52.374 cm*3

Step-by-step explanation:

the upper triangle is equal to the bottom triangle

Btw fyi the formula of calculating the value of a prism is:

area of the base × height

Question 9

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

Answers

Answer:

your answer is D (6.72)

Step-by-step explanation:

substitute x by 4

y = 2.76(4) - 4.4

y = 11.12 - 4.4

y = 6.72

Therefore the option D (6.72) is the correct answer

- hope this helps, if it does click the thanks button to let me know :) -

- have a nice day, be safe & healthy -


Jack is trying to figure out a rule for this table. He comes to the conclusion that the rule is f(x)= 3%. Why is Jack's rule incorrect?

Answers

I suck in math sorry I couldn’t help

Answer:

B) [tex]3^{4} \neq 243[/tex]

Step-by-step explanation:

line q goes through points (-3,3) and (-5,-3). At what point does line q cross the y-axis

Answers

Answer:

(0,12)

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

Find "C" when "F" = 120.
Round to tenths.
C= 5F-160 /9​

Answers

Answer:

C = 48.9

Step-by-step explanation:

C= 5F-160 /9

C= (5F -160)/ 9

Put F =120

C = (5(120) - 160)/9

C= (600 - 160)/9

C = 440/9

C = 48.89≈ 48.9

Find the quotient.

1. 48÷3=
.

2. In the expression, 96 divided by 8 = a , the quotient a =
.

3. Divide 12 lizards into 6 equal groups. How many lizards are in each group?
There are
lizards in each group.

Answers

Answer:

48÷3=16

Step-by-step explanation:

In the expression, 96 divided by 8 = a , the quotient a =12

. Divide 12 lizards into 6 equal groups. How many lizards are in each group?

There are2

lizards in each group.

Answer:

1.    16

2.   6

3.    2

Step-by-step explanation:

What value ofj makes this addition sentence true? (Hint: Use properties of addition)
64+ (98 +28) = (j +64) + 98

Answers

J = 28

64+ (98 +28) = (j +64) + 98
64+126 = (j+64)+98
190 = (j+64)+98
-98 -98
92 = j+64
-64 -64
28 = j

Tom and Sam can finish a plowing job in two hours. Tom working alone can do the job in 7 hours. How long would it take Sam to finish the same job alone?

Answers

Answer:

Step-by-step explanation:

1X+17=121X+17=12

1X=12−171X=12−17

1X=72×7−27×21X=72×7−27×2

1X=7−2141X=7−214

1X=5141X=514

Taking inverse on both sides

X=145=2.8 hoursX=145=2.8 hours

The time taken by Sam is 2.8 hours.2.8 hours.

PLEASE HELP! Will KARK BRAINLIEST!

If 3/8 inches on a scale drawing is equivalent to one foot at full scale, what distance on the drawing will stand for 40 inches?

Answers

Answer:

A.) 1/8 Inches

Step-by-step explanation:

The width of a rectangular room is 60% of its length. The length of the room is 10 feet. What is the area of the room?
The area of the room is blank square feet.

Answers

Answer:

60ft^2

Step-by-step explanation:

60% of 10 is 6 and LxW is 10x6 so the area is 60 feet

What is the area of the triangular part of the flag below

Answers

The answer is 492 hope it helps

Part A: The area of a square is (4a2 − 20a + 25) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work. (5 points) Part B: The area of a rectangle is (9a2 − 16b2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work. (5 points)

Answers

Answer:

(2a -5)²(3a -4b)(3a +4b)

Step-by-step explanation:

There are a couple of factored forms that are used here:

  (a +b)² = a² +2ab +b² . . . . the sign of "2ab" will match the sign of b

  a² -b² = (a -b)(a +b)

__

Part A:

 Since this trinomial is known to be a perfect square, you can find the binomial(s) by looking at the roots of the first and last terms.

  √(4a²) = 2a

  √25 = 5

The factoring is ...

  4a² -20a +25 = (2a -5)²

__

Part B:

This is the difference of perfect squares, so the terms of the factors can be found as in the previous part.

  √(9a²) = 3a

  √(16b²) = 4b

Using the above factored form, we have ...

  9a² -16b² = (3a -4b)(3a +4b)

The amount of tomato sauce in an 8 oz. can of tomato sauce has a normal distribution with a mean of
8.15 oz. and a standard deviation of 0.07 oz. Which of the following is the 2-score for 7.90 oz.?

Answers

Answer:

The z-score for 7.90 oz. is -3.57

Step-by-step explanation:

Data

mean: 8.15 oz.standard deviation, sd: 0.07 oz.value of interest, x = 7.90 oz.

From definition of z-score:

Z = (x - mean)/sd

Replacing with data:

Z = (7.9 - 8.15)/0.07

Z = -3.57

Triangle ABC has vertices at A(-2.3), B(-3, -6), and C(2, -
1). Is triangle ABC a right triangle? If so, which angle is the
right angle?
O No, the triangle has no right angles.
Yes, the right angle is angle A.
O Yes, the right angle is angle B.
O Yes, the right angle is angle C.

Answers

No the triangle has no right angles

Answer: The right angle is at angle C

Step-by-step explanation:

Yes, the angle is a right angle at C (Edge option D)

What is the distance between the points (2, 1) and (14, 6) on a coordinate
plane?
A. 14 units
B. 13 units
C. 12 units
D. 5 units

Answers

Answer:   13 units

Step-by-step explanation:

Rewrite using only positive exponents.​

Answers

I’m pretty sure the answer is A

PLZ I need help with the first problem!

Answers

Answer:

5/32

Step-by-step explanation:

You would change 1/2 to 2/4 so you can subract 1/2 from 3/4 .You do 3/4-2/4 and you get 1/4.Then you would multiply the height and width so you multiply 1/4 and 1 1/4 and 1/2.

Find Volume of water.

V=lwh

V= 1/2 x 1/2 x 5/4

V=5/16.

Find Volume of The whole shape.

V=lwh

V= 1/2 x 5/4 x 3/4

V=15/32.

Subtract : 15/32-5/16=5/32

VOLUME OF MISSING PART = 5/32 meters cubed


Cassandra baked a cake measuring 13 in. x 9 in. x 2 in. She wants to add frosting to the cake. The only side that will not be frosted is the bottom of the cake.

What is the surface area that will be frosted with icing?

A.24 in
B.117 in
C.205 in
D.322 in

Answers

Answer: B. 117 in

Step-by-step explanation:Took the test Trust

Hope this helps -----

The surface area that will be frosted with icing is 205in²

What is the surface area that will be frosted with icing?

It will be equal to the sum between the top surface, which measures:

S = 13in*9in = 117 in²

And the four lateral sides, two of them measure:

s' = 2in*9in = 18in²

The other two measures:

s'' = 13in*2in = 26in²

Then the total surface area that must be frosted is:

SA = 117 in² + 2*( 18in²) + 2*(26in²) = 205 in²

So we conclude that the correct option is C.

If you want to learn more about surface areas:

https://brainly.com/question/76387

#SPJ2

The top of the gumball machine on the left is a sphere with a diameter of 20 inches. When the machine is full it can hold 3500 gumballs, leaving 40% of the space in the machine empty. What is the approximate radius of each gumball? Round to the nearest hundredth and use 3.14 for Pi

Answers

Answer:

0.555 in

Step-by-step explanation:

The first thing we must do is calculate the volume of the machine, the volume of a wait is:

v = (4/3) * pi * (r ^ 3)

we know that the diameter is twice the radius, therefore:

r = d / 2 = 20/2

r = 10, replacing:

v = (4/3) * 3.14 * (10 ^ 3)

v = 4186.66 in ^ 3

Now, we know that by leaving 40% of space in the machine there are 3,500 chewing gums, therefore, 60% of that volume is chewing gum.

4186.66 * 0.6 = 2512

to calculate the volume of a chewing gum:

3500 * v = 2512

v = 2512/3500

v = 0.7177 in ^ 2 is the volume of a single chewing gum

if we solve the sphere formula for r, we are left with:

r ^ 3 = v * (3/4) / pi

replacing

r ^ 3 = 0.7177 * (3/4) /3.14

r ^ 3 = 0.1714

r = 0.1714 ^ (1/3)

r = 0.555

the radius of each gum is 0.555 in

1. A ball is thrown off of a balcony and it's height can be
modeled using the function, f(x) = -x2 + 4x + 12, where x is
the number of second after the ball was released. After
how many seconds will it the ball to hit the ground?

Answers

Answer:

After 6 seconds, the ball will hit the ground.

Step-by-step explanation:

f(x)=-x^2 + 4x + 12

Since we want to see when it touches the ground, the height must be equal to 0, so f(x) has to equal 0.

0=-x^2 + 4x + 12

If you factor this equation, you'd get:

(-x + 6)(x + 2) = 0

We get the 2 and the 6 from the factors of 12. The two factors of 12 have to be able to add or subtract into 4, and in this case, 6-2 is 4. (If you multiply this equation out, you'd get the same one you started with)

Since we need it to equal 0, the way to multiple to 0 is to have a zero itself. This means that either (-x+6) is equal to 0 or (x+2) is equal to 0. The only x values that satisfy this is 6 and -2. You can't have -2 seconds after, so it has to be 6.

Hope that helps.

Other Questions
it me again I need help Each parking spot is 8 feet wide. A parking lot has 24 parking spots side by side. What is the width (measured in yards) of the parking lot? Which famous World War II African-American unit is being described? i need some help plz What is the mean absolute deviation of 24,30,36,42,48,54 Consider a market where the demand and supply for the good are described by the following equations: begin mathsize 14px style straight Q subscript straight D space equals space 225 space minus space 3 straight P end style and begin mathsize 14px style straight Q subscript straight S space equals space minus space 22.5 space plus space 1.5 straight P end style.If the government implements a price ceiling of $45, this will result in aA. surplus of 22.5 units.B. a surplus of 45 units.C. a shortage of 45 units.D. a shortage of 22.5 units. The thickness of a protective coating applied to a conductor designed to work in corrosive conditions follows a uniform distribution over the interval [20;40] microns. Find the probability that the coating is between 24 and 38. HELP ASAP!!!! Describe a habitat in ur community that would support non vascular plant!!!! The GCF of 18 and 30 is If the marginal propensity to consume decreases, then the marginal propensity to save will decrease by the same percentage. the spending multiplier will decrease. the money multiplier will decrease. the rate of savings will decrease. the spending multiplier will increase. The point (-1,10) lies in which quadrant Hey, I need some help with this: Give an example of what an inverse operation is and how they are used in solving equations Mark recently took a road trip across the country. The number of miles he drove each day was normally distributed with a mean of 450. If he drove 431.8 miles on the last day with a z-score of -0.7, what is the standard deviation? If you created a planet what would be the name and What elements could be found there and is there life on your planetFor Fun you Could Add #PlanetTime Which statement best explains why repetition is used to advance Twain's purpose? to emphasize the amazing beauty of the French countryside to show how the landscape changes as one travels through France to give more information about the French countryside to explain the various ways the land is cared for in France By years end, what is the total amount Whitney paid for the fund sharesHow many shares does Whitney own at the end of the year?What is the value of Whitneys fund on December 5What is the average price Whitney paid per share?Using the costs shown, what is the overall average cost per share for the 12-month period True or false the focal length F is the directed distance from the vertex (h, k), to the focus of the parabola How do the data that Samantha obtained help explain the way that the body maintains homeostasis during exercise? Include the activities of at least three body systems in your explanation. What has an ionised atom lost or gained?ProtonsGamma RaysElectronsNeutrons Please help, its a math question