At the time of her​ grandson's birth, a grandmother deposits $2000 in an account that pays 6.5% compounded monthly. What will be the value of the account at the​ child's twenty-first​ birthday, assuming that no other deposits or withdrawals are made during this​ period?

Answers

Answer 1

Answer:

$41, 863. 50

Step-by-step explanation:

$2000 - 6.5% = $1,993.50

$1,993.50 x 21 = $41, 863. 50


Related Questions

which is the correct graph and solution for the following system of equations y=2x+3 y=-x-6

Answers

Answer:

last graph

Step-by-step explanation:

It’s the last graph

Please i need help with this

Answers

Answer:

B.

Step-by-step explanation:

The diameter of a circle is 86 kilometers. What is the circle's area?
use 3.14 for pi or 22/7
Please help me lol

Answers

Answer:

5808.8km

Step-by-step explanation:

Find the 93rd term of the arithmetic sequence -11, -7, -3

Answers

Answer:

357

Step-by-step explanation:

hello :

note :    the n th term of an arithmetic sequence is :

An =A1+(n-1)d   ....a common difference is : d  and A1 the first term

in this exercice :   d = -3-(-7) =-7-(-11) = 4        A1 =  -11

when : n =93 you have the  93rd term  A93

so : A93 = -11 +(93-1)(4)

A93 = 357

ZA and B are supplementary angles. If m A = (7x +3) and m ZB = (7x +23)", then find the measure of ZA.​

Answers

Answer:

Angle A measures 80º.

Step-by-step explanation:

Supplementary angles:

Two angles are called supplementary when their measures add to 180º.

In this question:

Angle A measures 7x + 3

Angle B measures 7x + 23

Since they are supplementary:

[tex]A + B = 180[/tex]

[tex]7x + 3 + 7x + 23 = 180[/tex]

[tex]14x + 26 = 180[/tex]

[tex]14x = 154[/tex]

[tex]x = \frac{154}{14}[/tex]

[tex]x = 11[/tex]

Measure of Angle A:

Since x = 11

7*11 + 3 = 77 + 3 = 80º

Angle A measures 80º.

EOC Review
Sue hits a ball from a height of 4 feet. The height of the ball above the ground is a function of the
horizontal distance the ball travels until it comes to rest on the ground. Consider
this complete graph of
the function.
Trajectory of Ball
80
60
Height of Ball (ft)
40
20
0
20 60 100 140 180
Horizontal Distance
the Ball Travels
Select all values that are in the domain of the function as shown in the graph.
DDDDD
D-5 feet
O feet
60 feet
200 feet
220 feet

Answers

Answer:

0ft and 60ft

Step-by-step explanation:

Given

The attached function

Required

Determine the valid values of the domain of the function

To do this, we simply consider the starting point and the end point of the trajectory on the x-axis (i.e. the horizontal distance).

From the attached graph, the horizontal distance starts from 0 and ends at 180.

This implies that the domain is: [tex]0 \le x \le 180[/tex]

From the options, the values that fall in this bracket are 0ft and 60ft

HELP PLEASEE no links
Select all the shapes that do not have perpendicular sides.
A. Square
B. Equilateral triangle
C. Rectangle
D. Right triangle
E. Acute triangle

Answers

Answer:

B) equilateral triangle

E) acute triangle

Step-by-step explanation:

NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. One hundred tickets, numbered 1, 2, 3, . . . , 100, are sold to 100 different people for a drawing. Four different prizes are awarded, including a grand prize (a trip to Tahiti). How many ways are there to award the prizes if it satisfies the given conditions. The person holding ticket 47 wins one of the prizes.

Answers

Answer:

The total number of ways the person holding ticket 47 wins one of the prizes = 941,094

Step-by-step explanation:

Given - One hundred tickets, numbered 1, 2, 3, . . . , 100, are sold to 100 different people for a drawing. Four different prizes are awarded, including a grand prize (a trip to Tahiti).

To find - How many ways are there to award the prizes if it satisfies the given conditions. The person holding ticket 47 wins one of the prizes.

Proof -

The order of selection is important because 1st selection is grand prize , 2nd selection is second prize and so on . So , we use permutation for this question

Now,

As The person holding ticket 47 wins one of the prizes and other 3 prizes are also given to the remaining 99 persons who got chosen

So,

The number of ways = 1* ⁹⁹P₃

                                  = [tex]\frac{99!}{(99-3)!}[/tex]

                                  = [tex]\frac{99!}{96!}[/tex]

                                  = [tex]\frac{99*98*97*96!}{96}[/tex]

                                  = 99*98*97

                                 = 941,094

∴ we get

Total number of ways the person holding ticket 47 wins one of the prizes = 941,094

A ratio of the number of boys to the number of girls in a choir is 5 to 4. There are 60 girls in the choir

Answers

the ratio is 4/5 girls to boys. if there are 60 girls you would divide 60 by 4 and get 15. you would then multiply that 15 by 5 to get the number of boys in the choir. your answer would be 75 because 15x5=75. there are 75 boys in the choir

5. What does ARM stand for?

Answers

Answer:

Step-by-step explanation: ARM architecture

pls help asap!!!! and show work if you can!! :)

Answers

Answer:

vertex is y=x squared

axis of symmetry is x=-1

parabola= (-2,0) and (-3,2)

Step-by-step explanation:

follow steps

Answer:

As per graph we have

1. Vertex is:

(-1, -1)

2. Axis of symmetry is a vertical line that passes through vertex:

x = -1

3. Roots, the x-intercepts:

(-2, 0), (0, 0)

The circumference of the base of a
5
-foot-high cylinder is
46
inches. What is the volume of the cylinder?

Answers

Answer:

V≈33238.05

Step-by-step explanation:

The circumference of the cylinder base is

= ( 2 )*(pi)*( r ) cm where r = radius of the circular base.

That is ( 2 )(pi)( r ) = ( 44 )cm or

( radius ) = [ (44/((2)(pi)) ] = ( 7.0064 )cm.

I have approximated ( pi ) as ( 3.14 ) for this calculation.

The area of the cylindrical base is ( pi )*( radius )^2

Therefore area of the base

= ( 3.14 )*( 7.0064 )^2 =( 154.1415 )cm squared.

Volume of Cylinder

Volume = Atea of the base multiplied by cylinder height or

= ( 154.1415 ) * ( 7 )

= ( 1079.0 ) cubic centimeters approximately with some slight loss inaccuracy due to rounding of pi.

Lateral Surface Area

The lateral surface area = circumference of the cylindrical base multiplied by the height of the cylinder.

= ( 44 )*( 7 ) = ( 308 ) cm squared

Inherent Assumption

It is assumed that the thickness of the cylinder material is small and the cylinder doesn't overlap the area of the base. If it did, the lateral surface area calculated here might be understated slightly.

plzz help me i’ll give brainlest

Answers

Answer:

An octagonal prism has 10 faces.

Step-by-step explanation:

Please mark as brainliest!

7.5 meters

surface area of a cylinder = 2πrh + 2πr^2

Knowing that radius = 2.5 m, we get:

157.08 = 2π(2.5)h + 2π(2.5)^2

Subtract 2π(2.5)^2 from both sides:

157.08 - 2π(2.5)^2 = 2π(2.5)h

Divide both sides by 2π(2.5) to isolate h:

h = (157.08 - 2π(2.5)^2) / (2π(2.5))

Simplify that with a calculator and you get h = 7.5 meters.

What is 12+[2-(4*a2)]÷7+b

Answers

Answer:

86 - 4a^2 + 7b over 7

Step-by-step explanation:

a submarine was floating at a depth of 640m below the sea level. if it ascends 230 metres, what will be it's new position? express the position in terms of depth​

Answers

Answer: It would be 410 meters below sea level.

→Pikachu I choose u←

simplfiy 3(4)^2 plzzz​

Answers

Answer:

48

Step-by-step explanation:

The square of a number decreased by ten times the number is negative nine.

Answers

Answer:

answers are 1 and 9

Step-by-step explanation:

x² - 10x = -9

x² - 10x + 9 = 0

(x - 9)(x - 1) = 0

x = 9, x = 1

Answer:

Replace key words with variables, numbers, and operations. “A number squared” is a power where the base is the variable and the exponent is 2. “Decreased by ten” means you must subtract 10 from the squared number.

Step-by-step explanation:

hope this helps

Which chocolate chip cookies have the greater spread in the number of chips per cookie?

Regular
or
Reduced Fat

Answers

Step-by-step explanation:

18

Answer:

Reduced fat had the greater spread.

Step-by-step explanation:

PLEASE HELP!!! WILL MARK BRAINLIEST PLUS EXTRA POINTS

To complete an observation the healthcare worker needs to think about the target of the observation To complete an observation, the healthcare worker needs to think about...

A) the target of the observation, such as the patient.

B) the nature of the observation or the focus, which can be a behavioral observation or an analysis of the information gathered.

C) the aim of the observation, such as the workup.

D) the focus of the observation, such as the patient's condition.

E) the focal point of the observation, such as the patient's previous medical records.

CHECK ALL THAT APPLY

Answers

Answer:

1,2, and 4

Step-by-step explanation:

Scott paid 10.47 for a 6.08 - kg bag of dog food. A few weeks later, he paid 13.88 for a7.48 -kg bag at a different store. Find the unit price for each bag. Then state which bag is the better buy based on the unit price. Round your answers to the nearest cent.

Answers

Answer:

Scott paid $ 1.72 per kilo for the first bag, and $ 1.85 per kilo for the second bag, with which the best buy is the first bag.

Step-by-step explanation:

Since Scott paid 10.47 for a 6.08-kg bag of dog food, while a few weeks later, he paid 13.88 for a7.48-kg bag at a different store, to find the unit price for each bag, and then state which bag is the better buy based on the unit price, the following calculation must be performed:

10.47 / 6.08 = X

1.72 = X

13.88 / 7.48 = X

1.85 = X

Thus, Scott paid $ 1.72 per kilo for the first bag, and $ 1.85 per kilo for the second bag, with which the best buy is the first bag.

Can anyone help me with my homework

Answers

Answer:

1) NO

2) YES

3) YES

4) YES

Step-by-step explanation:

A function is a relation that maps elements from a set (the domain, the set of the inputs) into elements from another set (the range, the set of the outputs).

The condition for a function is that each element in the domain can be mapped into only one element in the range.

(Or each input can be mapped into only one output).

Now let's apply this theory to the exercises here.

In all the cases we have relations, so we need to check if one (or more) of the inputs is mapped into more than one output.

Also remember that in the point notation (x, y) the first value is the input and the second is the output.

1)

Here we can see the points (-1, 5) and (-1, 2)

So the input -1 is mapped into two different outputs, 5 and 2.

This means that this is not a function.

2)

In this case, we can see that all the inputs are different (1, -2, 3, 5), so this is a function.

3)

Again, here we can see that each input is being mapped into only one output, then this is a function.

4)

In a graph, the horizontal position represents the input value and the vertical position represents the output value.

One way to tell if a graph belongs to a function or not, is to see if there is a vertical line such that more than one point intersects that line. If that happens, then we have two points with the same input value but different output value and the relation is not a function.

In this case, we can see that this does not happen, and then we can conclude that the graph represents a function.

I am stuck on these last four questions please help if possible.

-Solving equations with variables on both sides

Answers

Answer:

Step-by-step explanation:

9). -2.2(4 - 1.9x) = 3.3(0.2x - 0.8)

    -8.8 + 2.2(1.9x) = 0.66x - 2.64

    -8.8 + 4.18x = 0.66x - 2.64

     4.18x - 0.66x = 8.8 - 2.64

     3.52x = 6.16

     x = 1.75

10). 3.2(1 + 2.6x) = 2.4(x - 3.6)

     3.2 + 8.32x = 2.4x - 8.64

     8.32x - 2.4x = -3.2 - 8.64

     5.92x = -11.84

      x = 2

11). 4.6(2x - 5.5) = 3.9 + 0.8(1 + 5.5x)

     9.2x - 25.3 = 3.9 + 0.8 + 4.4x

     9.2x - 25.3 = 4.7 + 4.4x

     9.2x - 4.4x = 25.3 + 4.7

     4.8x = 30

      x = 6.25

12). 0.2(3x + 2.5) - 4.9 = 3.8 - 2.2(x - 5.5)

     0.6x + 0.5 - 4.9 = 3.8 - 2.2x + 12.10

     0.6x - 4.4 = -2.2x + 15.90

     0.6x + 2.2x = 15.90 + 4.4

     2.8x = 20.30

     x = 7.25

Explain whether 13t−3t is equivalent to 3t−13t. Support your answer by evaluating the expressions for t=2.

Answers

Answer:

Not equivalent

Step-by-step explanation:

13t - 3t = (13 - 3)t = 10t3t - 13t = (3 - 13)t = -10t10t ≠ -10t

They are not equivalent

When t = 2

13t - 3t = 13*2 - 3*2 = 26 - 6 = 203t - 13t = 3*2 - 13*2 = 6 - 26 = -20

Answer:

They are not Equivalent.

Step-by-step explanation:

You can tell that they aren't by doing that equations.

13t-3t=10t

3t-13t=-10t

If you were to inert 2 into t's , spot, it still would not work.

13(2)-3(2), 26-6=20

3(2)-13(2), 6-26=-20

A credit card company decides to study the frequency with which its cardholders charge for items from a certain change of retail stores. The data values collected in the study appear to be normally distributed with a mean of 25 charged purchases and a standard distribution of 2 charged purchases. Out of the total number of cardholders about hw many would you expect are charging 27 or more in the study

Answers

Answer:

15.87% of the total number of cardholder would be expected to be charging 27 or more in the study.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 25 charged purchases and a standard distribution of 2

This means that [tex]\mu = 25, \sigma = 2[/tex]

Proportion above 27

1 subtracted by the pvalue of Z when X = 27. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{27 - 25}{2}[/tex]

[tex]Z = 1[/tex]

[tex]Z = 1[/tex] has a pvalue of 0.8413

1 - 0.8413 = 0.1587

Out of the total number of cardholders about how many would you expect are charging 27 or more in the study?

0.1587*100% = 15.87%

15.87% of the total number of cardholder would be expected to be charging 27 or more in the study.

Key
X
= -X
= 1 = -1
Which equation could represent the model?

Answers

Answer:

hey here the link it.ly/3dXyuz8

A bag contains 9 orange marbles and 36 green marbles. If a representative sample contains 2
orange marbles, then how many green marbles would you expect it to contain? Explain.
Because the ratio of orange marbles to green marbles is in the population, the expected number
of green marbles is times the number of orange marbles in the representative sample. There
should be green marbles.

Answers

Answer:

U can divide or multiply

Step-by-step explanation:

A study was conducted to compare the mean numbers of police emergency calls per 8-hour shift in two districts of a large city. Samples of 100 8-hour shifts were randomly selected from the police records for each of the two regions, and the number of emergency calls was recorded for each shift. The sample statistics are listed here:
Sample size region 1: 100
Sample size region 2: 100
Sample mean region 1: 2.4
Sample mean region 2: 3.1
Sample variance region 1: 1.44
Sample variance region 2: 2.64
Find a 90% confidence interval for the difference in the mean numbers of police emergency calls per shift between the two districts of the city. Interpret the interval.

Answers

Answer:

Step-by-step explanation:

I really need help it’s due by 12:00

Answers

Answer:

what do you do

Step-by-step explanation:

would anoyone be willing to help

Answers

Sure, what do you need help with?

A person had a rectangular-shaped garden with sides of lengths 16 feet and 9 feet. The garden was changed into a square design with the same areas as the original rectangular-shaped garden. How many dlfewt in length are each of the sides of the new square-shaped garden? ​

Answers

Answer:

144

Step-by-step explanation:

16x9

The side length of the square garden would be 12 ft.

What is a expression? What is a mathematical equation? What is the volume of a cube and a prism?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. The volume of a cube is - [V] = a x a x a

        - where [a] is side length of cube.

The volume of a prism is - [V] = [h] × [w] × [L]

       - where [h] is prism height, [w] is its width, and [L] is its length.

We have a person who had a rectangular-shaped garden with sides of lengths 16 feet and 9 feet.

The garden was changed into a square design with the same area as the original rectangular-shaped garden. Assume the side length to be [x] ft. Then, you can write -

x² = 16 x 9

x² = 144

x = 12

Therefore, the side length of the square garden would be 12 ft.

To solve more questions on area and volumes, visit the link below -brainly.com/question/29424737

#SPJ2

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