This equation calculates the value, P, of an account with an initial deposit of P0 and an interest rate of r compounded n times per year after t years.
P = P0 (1+r/n)nt
Vanessa deposits $700 in a savings account with an interest rate of 2% compounded monthly. Assuming she neither adds to nor withdraws from the account, what will be the approximate value of the account in 7 years?
А. $889.57
B. $887.77
C. $714.13
D $805.10​

Answer:

it would be 100 rounded because 14x8=112 and 112 is rounded to 100 to the nearest hundreth. Please subscribe to Amiredagoat Yt

Step-by-step explanation:

Answer:

answer: 117

Hope this helps!

Answer:

117

Step-by-step explanation:

Convert mixed numbers to improper fractions:

7 1/2 = 15/2

4 1/3 = 13/3

3 3/5 = 18/5

15/2 x 13/3 x 18/5

Multiply and cross-cancel:

18/2 x 13/1

Multiply again:

117/1 = 117

Answer:

height of second rectangular prism is 5 meters

Step-by-step explanation:

Answer:

D: Point A is 1 unit to the right of the origin and point B is 3 units to the right of the origin.

Step-by-step explanation:

The coordinate (1, 3) is in quadrant 1 with a positive y, moving the point up, and a positive x, moving the point right. Because the x is 1, the point moves 1 unit right from the origin.

The coordinate (3, 1) is also in quadrant 1 with a positive y and x, but this time the x is 3, moving the point 3 units right from the origin.

Answer:

D: corresponding angle

hope it helps.

Answer:

corresponding angles

Step-by-step explanation:

hope it is helpful ><

Given:

[tex]\cos A=\dfrac{4}{\sqrt{65}}[/tex]

[tex]\sin B=\dfrac{1}{\sqrt{2}}[/tex]

A and B both lies in I quadrant.

To find:

The value of [tex]\sin (A+B)[/tex].

Solution:

We know that, all trigonometric ratios are positive in first quadrant.

[tex]sin^2\theta +\cos^2\theta =1[/tex]

Using this we get

[tex]\sin^2A +\cos^2A =1[/tex]

[tex]\sin^2A +\left(\dfrac{4}{\sqrt{65}}\right)^2 =1[/tex]

[tex]\sin^2A +\dfrac{16}{65}=1[/tex]

[tex]\sin^2A =1-\dfrac{16}{65}[/tex]

Taking square root on both sides, we get

[tex]\sin A =\sqrt{\dfrac{65-16}{65}}[/tex]         [Only positive because A lies in I quadrant]

[tex]\sin A =\sqrt{\dfrac{49}{65}}[/tex]

[tex]\sin A =\dfrac{7}{\sqrt{65}}[/tex]

Similarly,

[tex]\sin^2B +\cos^2B =1[/tex]

[tex]\left(\dfrac{1}{\sqrt{2}}\right)^2 +\cos^2B =1[/tex]

[tex]\dfrac{1}{2}+\cos^2B =1[/tex]

[tex]\cos^2B =1-\dfrac{1}{2}[/tex]

Taking square root on both sides, we get

[tex]\cos B =\sqrt{\dfrac{2-1}{2}}[/tex]         [Only positive because B lies in I quadrant]

[tex]\cos B =\sqrt{\dfrac{1}{2}}[/tex]

[tex]\cos B =\dfrac{1}{\sqrt{2}}[/tex]

Now,

[tex]\sin (A+B)=\sin A\cos B+\cos A\sin B[/tex]

[tex]\sin (A+B)=\dfrac{7}{\sqrt{65}}\times \dfrac{1}{\sqrt{2}}+\dfrac{4}{\sqrt{65}}\times \dfrac{1}{\sqrt{2}}[/tex]

[tex]\sin (A+B)=\dfrac{7}{\sqrt{130}}+\dfrac{4}{\sqrt{130}}[/tex]

[tex]\sin (A+B)=\dfrac{11}{\sqrt{130}}[/tex]

Therefore, the exact value of [tex]\sin (A+B)[/tex] is [tex]\dfrac{11}{\sqrt{130}}[/tex].

Answer:

hmm easy peesy

3x+6= 21

21-6=3x

15=3x

5 = X

meet my dog; (Frankie the sleeping beauty )

Answer:

x = 5

Step-by-step explanation:

Expand:

Use distributive property:

3x + 6 = 21

3x = 15

x = 5

Divide:

(x + 2) = 21/3

x + 2 = 7

x = 5

Check your work:

3(5 + 2) = 21

15 + 6 = 21

21 = 21

Correct

Answer:

Bookstore to pet store: Down 6 units

Bookstore to Ice cream shop: Down 1 unit, 5 units to the left

Ice cream shop to pet store: Down 5 units, 5 units to the right

Sorry if this is wrong the image is a little blurry

Answers:  -2 and 2

Explanation:

The solutions to a graph are the same as the roots, zeros, or x intercepts. The x intercept is the location of the curve where it crosses or touches the x axis. In this case, it does so when x = -2 and x = 2.

Answer:

D

Step-by-step explanation:

1) remember that x indicates the independent variable, while y the dependent variable

2) remember that the first diagram represents the values of x, while the second the values of y

Mapping diagram A represent the number of tickets sold on that day. Therefore, option A is the correct answer.

The given set of ordered pairs are {(1,19), (2,23), (3,23), (4,29), (5,31)}.

In math, a relation defines the relationship between sets of values of ordered pairs. The set of elements in the first set are called domain which is related to the set of the element in another set, which is called range.

A mapping diagram consists of two parallel columns. The first column represents the domain of a function [tex]f[/tex], and the other column for its range. Lines or arrows are drawn from domain to range, to represent the relation between any two elements.

Diagram A represents the given ordered pair

Mapping diagram A represent the number of tickets sold on that day. Therefore, option A is the correct answer.

Learn more about the relations here:

https://brainly.com/question/6241820.

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Answer:

Step-by-step explanation:

i think you forgot to link or import the question

Answer: Option b 121km

50% means half, so the half of 242km is 121km, so option B 121 is correct.

Step-by-step explanation:

242/2=121

Have a nice day!

and can I maybe have brainliest? Thanks!

Answer:

Step-by-step explanation:

36 - 4

Step-by-step explanation:

(6x - 2)(6x + 2)

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

= 36 - 12x + 12x - 4

= 36 - 4

Answer:

12(x+5)=

12x+60=

12x÷12 & 60÷12

x=5

Answer:

48 boxes

Explanation:

First, find the volume of the rectangular prism (l*w*h) to find out how much it can hold.

15*40*10= 6,000

Then, find the volume of the cubic boxes (l*w*h) to find how much space each of them take up.

5*5*5= 125

Finally, divide the rectangular prism's volume by the boxes' to find out how many can fit inside.

6,000/125= 48 boxes

Answer:

a-The probability that item A is discovered as a defective item by method 1 is 0.4

b. The probability that item A is discovered as a defective item by method 2 is 0.4

c-As the probability of detecting A as a defective item is same for the two methods, thus it can be stated that each of the methods is equally effective.

Step-by-step explanation:

a-

The first method where the inspector chooses two of the five items randomly, so the total pairs are as given below:

[tex]N_{total}=n(S_{total})\\N_{total}=n(\{AB,AC,AD,AE,BC,BD,BE,CD,CE,DE\})\\[/tex]

As the total experiments in the overall space is 10 so [tex]N_{total}[/tex] is 10.

As A comes in 4 of these experiments, thus the value of [tex]N_{A}[/tex] is 4.

So the Probability of A is given as

[tex]P(A)=\dfrac{N_{A}}{N_{total}}\\P(A)=\dfrac{4}{10}\\P(A)=0.4[/tex]

The probability that item A is discovered as a defective item by method 1 is 0.4.

b-

Now in order to find the probability of finding item A as defective by method 2, first consider the probability of not finding item A as defective.

This is given as

[tex]P(A)=1-P(A)'[/tex]

Here P(A)' is given as

[tex]P(A)'=P(A)'_{1^{st}}\times P(A)'_{2^{nd}}[/tex]

Here

P(A)'_1st is the probability that the first inspector fails to detect A as a defective item which is given as

[tex]P(A)'_{1^{st}}=1-\dfrac{1}{N_{total\ items}}[/tex]

Here N_total items is 5. so the equation becomes

[tex]P(A)'_{1^{st}}=1-\dfrac{1}{N_{total\ items}}\\P(A)'_{1^{st}}=1-\dfrac{1}{5}\\P(A)'_{1^{st}}=\dfrac{5-1}{5}\\P(A)'_{1^{st}}=\dfrac{4}{5}[/tex]

Similarly

P(A)'_2nd is the probability that the second inspector fails to detect A as a defective item which is given as

[tex]P(A)'_{2^{nd}}=1-\dfrac{1}{N_{total\ items}}[/tex]

Here N_total items is 4 as 1 item has already been checked. so the equation becomes

[tex]P(A)'_{2^{nd}}=1-\dfrac{1}{N_{total\ items}}\\P(A)'_{2^{nd}}=1-\dfrac{1}{4}\\P(A)'_{2^{nd}}=\dfrac{4-1}{4}\\P(A)'_{2^{nd}}=\dfrac{3}{4}[/tex]

So the main equation becomes

[tex]P(A)=1-P(A)'\\P(A)=1-(P(A)'_{1^{st}}\times P(A)'_{2^{nd}})[/tex]

Substituting the values give

[tex]P(A)=1-(P(A)'_{1^{st}}\times P(A)'_{2^{nd}})\\P(A)=1-(\dfrac{4}{5}\times \dfrac{3}{4})\\P(A)=1-\dfrac{3}{5}\\P(A)=\dfrac{5-3}{5}\\P(A)=\dfrac{2}{5}\\P(A)=0.4[/tex]

The probability that item A is discovered as a defective item by method 2 is 0.4.

c-

As evident from the above, that the value of probabilities for both the methods is same therefore the overall effectiveness of each of the methods is same.

Answer:

SIMPLE, −$14.75 + $36.25 = $21.50

Step-by-step explanation:

TO CHECK OURSELVES:

21.50 -  36.25 = -14.75

YOUR WELCOME

Answer:

D.

Step-by-step explanation:

Answer:

[tex] \huge\mathfrak\pink{S} \huge\mathfrak\purple{o} \huge\mathfrak\blue{l} \huge\mathfrak\red{u} \huge\mathfrak\green{t} \huge\mathfrak\pink{i}\huge\mathfrak\purple{o}\huge\mathfrak\red{n}\huge\mathfrak\orange{➔}\ [/tex]

by using Pythagoras law:

h²=p²+b²

x²=16²+12²

x=√400

x=20 units.

Answer:

A

Step-by-step explanation:

because when you multiply 3x3 (the base) times 18(the height) you get= 162

Answer:

3.5

Step-by-step explanation:

n+7=3n

7=2n

n=3.5

Answer:

n=7/2

Step-by-step explanation:

n+7=3n

-n     -n

7=2n

/2  /2

7/2=n

Answer:

<MLJ and <NOQ

Step-by-step explanation:

Alternate exterior angles are angles that lie outside of the two parallel lines that are cut across by the transversal line, and are also alternating each other along the transversal

Considering the image and the options given, <MLJ and <NOQ are exterior angles that alternate each other. Therefore, they are alternate exterior angles.

If 0 < a < 12, then h(12 – a) = h(12 + a) is true. Then the correct option is D.

When a body is thrown in the air at an angle, then the term is known as projectile motion.

The table is given in the question.

A) h(4) < h(20), this statement is incorrect, because the h(4) = h(20).

B) The flight is symmetric about the line t = 10, this statement is incorrect, because symmetric about t = 12.

C) The projectile will hit the ground at some value of t less than 24. This is incorrect, because t > 24.

D) If 0 < a < 12, then h(12 - a) = h(12 + a).​ This statement is correct.

Then the correct option is D.

More about the projectile motion link is given below.

https://brainly.com/question/11049671

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Answer:

3a) 54/99

3b) 257/999

Hope this'll help you!

Answer:

blue

Step-by-step explanation:

There the most common eyes in the class?

Answer:the student would most likely have blue eyes

Step-by-step explanation:

8/20

6/20

5/20

1/20

Answer:

$32.40

Step-by-step explanation:

45% = 0.45

72(0.45) = 32.4

Based on the amount Kristian had and the percentage spent on the game, the price of the game is $32.40.

The price of the game can be found as:

= Amount Kristian has x Percentage spent on game

Solving gives:

= 45% x 72

= $32.40

In conclusion, the price of the game is $32.40.

Find out more about percentages at https://brainly.com/question/11570843

Answer:

6g/cm^3

Step-by-step explanation:

The density of the cube would be 6 grams/cm^3. I got this answer by first finding the volume of the cube, 2^3 which gives me 8 cm as the initial volume of the cube. Then, the 48 grams of mass the cube has allows me to divide 48 / 8 which gave me 6. And 6 would be the density of the cube in grams.

Answer: 6g/cm^3

Hope this helps!

Answer:

p = 6 g/cm³

Step-by-step explanation:

Given: cube sides= 2 cm and 48 g

To find: The cube's density

Formula: [tex]{p} \frac{m}{V}[/tex]

Solution: Measure the height, width, and depth of the shipment in inches.

Multiply the three measurements (height x width x depth).

Divide the total cubic inches by 1,728 (the number of cubic inches in a cubic foot).

Divide the weight (in pounds) of the shipment by the total cubic feet.

p = density

m = mass

V = volume

Answer:

D=10

Step-by-step explanation:

Diameter of a Sphere

D = 2 r

D=2(5)

D=10

Answer:

Diameter = 10

Diameter - is the full thing

Radius - Is only half of the diameter.

Step-by-step explanation:

The picture will explain it to you visually

Answer:

The amplitude is 1/5

Step-by-step explanation:

Given

[tex]y = -\frac{1}{5}\sin(x)[/tex]

Required

Determine the amplitude

The general cosine function is:

[tex]y = A\sin(k(x + c)) +d[/tex]

Where

[tex]Amplitude = |A|[/tex]

Compare [tex]y = A\sin(k(x + c)) +d[/tex] and [tex]y = -\frac{1}{5}\sin(x)[/tex]

[tex]A = -\frac{1}{5}[/tex]

So:

[tex]Amplitude = |-\frac{1}{5}|[/tex]

[tex]Amplitude = \frac{1}{5}[/tex]

Step-by-step explanation:

[tex]to \: help \: you \\ \cot(A) = { (\tan(A)) }^{ - 1} = \frac{ \cos(A) }{ \sin(A) } \\ or : \\ \cot(A) = \sqrt{(1 + {( \tan(A) )}^{2} } [/tex]

Answer:

A is correct :)

Step-by-step explanation:

edge 2021

thank you! have a great day

Answer:

13.4

Step-by-step explanation:

it is A square +b square =c square which is just 12×12=144 + 6×6=36 and then add them together which is 180, then just square root 180 can do it for every type of question like that and always remember the longest side is c, and the other two it doesn't matter which is A or B.