You deposit $1000 in an account that pays 4 1/2% annual interest compounded monthly. How much will you have in the bank after 9 years

Step-by-step explanation:

HOPE THE ANSWER IS CORRECT AND USEFUL

Answer:

t12= -8

Step-by-step explanation:

t3

a+2d=10 (1)

t10

a+9d=-4. (2)

From (1)

a=10-2d. (3)

Sub into (3) into equ (2)

a+9d=-4

10-2d+9d=-4

10+7d=-4

7d=-4-10

7d=-14

Divide both sides by 7

d=-14/7

d= -2

10=a+2d

10=a+2(-2)

10=a-4

10+4=a

14=a

a=14

t12=a+11d

= 14+11(-2)

=14-22

= -8

t12= -8

Answer:

Correct option: First one -> 16 mm

Step-by-step explanation:

The equilateral triangle has its three sides with the same length.

So if the perimeter is 96 mm, we have:

[tex]Perimeter = 3*side[/tex]

[tex]3*side = 96[/tex]

[tex]side = 32 mm[/tex]

The segment MA is the height of the equilateral triangle, and its length can be calculated with the equation:

[tex]height = \frac{side * \sqrt{3}}{2}[/tex]

[tex]height = 16\sqrt{3}[/tex]

Using the Pythagoras' theorem in the triangle ACM, we have:

[tex]side^2 = MC^2 + height^2[/tex]

[tex]1024 = MC^2 + 768[/tex]

[tex]MC^2 = 256[/tex]

[tex]MC = 16\ mm[/tex]

Correct option: First one

Answer:

(A) 16mm

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

r = 2.5 cm

V=  3.14[tex](2.5 cm)^{2}[/tex](9 cm)/3 = [tex]59 cm^{3}[/tex]

Answer:

a

Step-by-step explanation:

-11/10

Step-by-step explanation:

so first get the x on one side of the equal sign and the numbers on the other.

x+2 4/5 = 3 1/6

- 2 4/5 - 2 4/5

x= -11/10

Answer:

The answer is D.

Step-by-step explanation:

You have to add both functions together :

[tex]f(x) = 25 - {x}^{2} [/tex]

[tex]g(x) = 5 - x[/tex]

[tex](f + g)(x) = 25 - {x}^{2} + 5 - x[/tex]

[tex](f + g)(x) = 30 - {x}^{2} - x[/tex]

[tex](f + g)(x) = - {x}^{2} - x + 30[/tex]

Answer:

Step-by-step explanation:

To find : Acceleration in first 15 min . Distance between two cities  Average speed of journey

Solution:

Each horizontal block is 1/8 hr = 7.5 min

Each vertical block is 10 km/hr

Time                    Velocity  km/hr

0 Min  ( 0 hr)            0

15 Min (1/4 hr)           50

45 Min (3/4 hr)         50

60 MIn  ( 1 hr)            100

90 Min  ( 3/2 hr)        100

120 Min ( 2hr)            0

Acceleration in first 15 min  (1/4 hr)  =  (50 - 0)/(1/4 - 0)  = 50/(1/4)

= 200  km/h²

Distance between two cities

= (1/2)(0 + 50)(1/4 - 0)  + 50 * (3/4 - 1/4)  + (1/2)(50 + 100)(1 - 3/4)  + 100 * (3/2 - 1) + (1/2)(100 + 0)(2 - 3/2)

=  25/4  + 25 + 75/4   + 50 + 25

= 125

Distance between two cities = 125 km

Average Speed of journey = 125/2  = 62.5  km/hr

Acceleration in first 15 min = 200  km/h²

Distance between two cities = 125 km

Average Speed of journey =  62.5  km/hr

Hope this helps..

Answer:

200km/h^2, 125km, 62.5km/h

Step-by-step explanation:

For part a) just use the acceleration formula (change in velocity/time). For part b), remember that distance traveled is the area under the graph. This is because displacement is the integral of velocity, meaning that you integrate to find the area (i.e. displacement). Lastly, for part c), just apply speed = distance/time because in this case, acceleration is constant.

Answer:

Both A and D

Step-by-step explanation:

Not absolutely 100%, but I think it's the answer.

Answer:

x = 3

Step-by-step explanation:

The triangles are similar, using ratios

x            8

------ = -----------

18              48

We can use cross products to solve

48x  = 8*18

48x = 144

Divide each side by 48

48x/48 = 144/48

x =3

Answer:

360-540 calories

Answer:

Step-by-step explanation:

From the figure attached,

Given: ∠P ≅ ∠S

          TQ ≅ RQ

To Prove : ΔQRS ≅ ΔQTP

        Statements                          Reasons

1).     ∠P ≅ ∠S, TQ ≅ RQ                  Given

2).    ∠RQS ≅ ∠TQP                  Reflexive property

3).     ΔQRS ≅ ΔQTP                           AAS

Answer:

7/36

Step-by-step explanation:

7/9* 1/4

Multiply the numerator

7*1 = 7

9*4 = 36

Put the numerator over the denominator

7/36

Answer:

Step-by-step explanation:

7/9 x 1/4 = 7/36

Answer:1. (a) 8=z-3 ---> z=5

2.(d) 12z=60----> z=5

3.(e) 12+z=17 ----> z= 5

Step-by-step explanation:

Answer:

A and D

Step-by-step explanation:

A. 8 = z + 3        →  subtract 3 from both sides:

    5 = z

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

B. z - 1 = 6z        →  subtract z from both sides:

     -1 = 5z          →  divide both sides by 5:

    -0.2 = z

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

C. 20 = 40 ÷ z    →  multiply both sides by z:

    20z = 40       →  divide both sides by 20:

       z = 2

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

D. 12z = 60         →  divide both sides by 12:

     z = 5

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

E. 12 + z = 60      →  subtract 12 from both sides:

      z = 48

Answer:

False

Step-by-step explanation:

When triangles are similar, their sides are proportional, not congruent.

I hope this helps :))

Answer:

x=5

Step-by-step explanation:

7/5=(2x-3)/x

5(2x-3)=7x

3x=15, x=5

Answer:

C. -1

Step-by-step explanation:

Slope is: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

We are given the points (1,7) and (3,5).

[tex]m=\frac{5-7}{3-1} =\frac{-2}{2} =-1[/tex]

The slope is -1, and therefore, Option C should be the correct answer.

Answer:

g(-7)=5

Step-by-step explanation:

-2(-7)-9

14-9=5

Answer:

5

Step-by-step explanation:

G(x)=-2x-9

Let x = -7

g(-7) = -2(-7) -9

       = 14 - 9

       = 5

Answer:

y = 8(x-5)^2 -232

Step-by-step explanation:

Factor out the 8 to get

y = 8(x^2-10x-4)

y = 8(x-5)^2 -232

Answer:

y = 8 (x - 5)^2 - 232

Step-by-step explanation:

Dividing the whole equation by 8, we get:

y = 8 (x^2 - 10x - 4)

y = 8 (x - 5)^2 - 232

Hope this helps!

Answer

[tex] {10}^{ - 6} \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps[/tex]

Answer:

1st one does

Step-by-step explanation:

There is no graph which shows line symmetry about the y-axis from the provided option, as no option follow the rule of symmetry about y-axis.

A graph is symmetry about the y-axis, when for a point a,b on the graph, there is another point such that (-a,b). It is the reflected point of the graph about the y-axis.

The graph which is symmetry about y-axis is attached below.

In the given image,

Thus, there is no graph which shows line symmetry about the y-axis from the provided option, as no option follow the rule of symmetry about y-axis.

Learn more about the symmetry of graph here;

https://brainly.com/question/5960559

#SPJ2

Answer:

3/4

Step-by-step explanation:

There is 2 Os and 8 in total.

So the probability of selecting O is 1/4

As the question asks everything but O, you subtract that answer from 1. 1-1/4=3/4

Answer:

$1475.40

Step-by-step explanation:

Since the interest is two times per year for 5 years, do this 10 times:

1) 750*0.07=52.5

750+52.5=802.5

2) 802.5*0.07=56.18

802.5+56.18=858.69

3) 858.69*0.07=60.11

858.69+60.11=918.79

4) 918.79*0.07=64.32

918.79+64.32=983.11

5) 983.11*0.07=68.82

983.11+68.82=1051.93

6) 1051.93*0.07=73.64

1051.93+73.64=1125.57

7) 1125.57*0.07=78.79

1125.57+78.79=1204.36

8) 1204.36*0.07=84.31

1204.36+84.31=1288.67

9) 1288.67*0.07=90.21

1288.67+90.21=1378.88

10) 1378.88*0.07=96.52

1378.88+96.52=1475.40

Answer:

[tex] a. = -35 \\ b. = 9a + 1 \\ c. = -35 [/tex]

Step-by-step explanation:

[tex]a. \\ = > \: 7a - 1 + 2a + 2 \\ \\ = > 7( - 4) - 1 + 2( - 4) + 2 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: (a = - 4) \\ \\ = > - 28 - 1 - 8 + 2 \\ \\ = > - 37 + 2 \\ \\ = > - 35 \\ \\ \\ b. \\ = > 7a - 1 + 2a + 2 \\ \\ = > 7a + 2a - 1 + 2 \\ \\ = > 9a + 1 \\ \\ \\ c. \\ = > 9a + 1 \\ \\ = > 9( - 4) + 1 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: (a = - 4) \\ \\ = > - 36 + 1 \\ \\ = > - 35[/tex]

Answer:

B. Yes, because it does not have a constant rate of change.

Step-by-step explanation:

For a function to be a function (or linear), the rate of change MUST be proportional. In this data set, the numbers do not seem proportional, which makes it non-linear.

Answer:Wish i could help, but I'm just as confused.

Step-by-step explanation:

Answer:

142

Step-by-step explanation:

5*(x+60)+2*x=1294

5x+5*60+2x=1294

7x+300=1294

-300       -300

        7x=994

x=994:7

x=142

142

Step-by-step explanation:

5(60+x) +2(x) = 1294

300+5x+2x= 1294

7x= 994

X= 142

Answer:

(-1, -3)

Step-by-step explanation:

The given equations are:

[tex]-4x-7=y ...... (1)[/tex]

and

[tex]x^2 - 2x - 6 = y ....... (2)[/tex]

Equating (1) and (2):

[tex]-4x -7 =x^{2}-2x-6\\\Rightarrow x^{2}-2x-6+4x+7=0\\\Rightarrow x^{2}+2x+1=0\\\Rightarrow (x+1)^2=0\\\Rightarrow x = -1[/tex]

The two values of x are repeating in nature i.e. x = -1

So, value of [tex]x[/tex] is -1.

Putting value of [tex]x[/tex] in equation (1):

[tex]-4 \times (-1)-7=y \\\Rightarrow y=-3[/tex]

The solution is represented as ([tex]x,y[/tex])

So, the solutions are :

(-1, -3)

Answer:

2

Step-by-step explanation:

give brainliest

Answer:

The area is twice the circumference

Area = 2 * circumference

Step-by-step explanation:

Proof:

r = 2

Circumference = 2[tex]\pi[/tex]r

Circumference = 12.566

Area = [tex]\pi[/tex]r^2

Area = 25.132

25.132/12.566 ≈ 2

Answer:

the (area) is (1/2) times the (radius) times the circumference.

Step-by-step explanation:

i dont know how to explain it exactly but i found the cerect answer.

Answer:

[tex]\fbox{\begin{minipage}{15em}a, d: A and B are not independent\\b, c: A and B are independent\end{minipage}}[/tex]

Step-by-step explanation:

Step 1: Apply the correct formula to check whether two events are independent or not

If the events A and B are independent, then:

P(A) x P(B) = P(A⋂B)

The formula of conditional probability:

P(A⋂B) = P(A|B) x P(B) = P(B|A) x P(A)

Step 2: Perform the calculation

a)

P(A) x P(B) = (1/6) x (1/4) = 1/24

P(A⋂B) = P(A|B) x P(B) = (1/5) x (1/6) = 1/30

=> P(A) x P(B) is not equal to P(A⋂B)

=> A and B are not independent.

b)

P(A) x P(B) = (1/2) x (1/4) = 1/8

P(A⋂B) = 1/8

=> P(A) x P(B) is equal to P(A⋂B)

=> A and B are independent.

c)

P(A) x P(B) = (1/2) x (1/6) = 1/12

P(A⋂B) = P(A|B) x P(B) = (1/2) x (1/6) = 1/12

=> P(A) x P(B) is equal to P(A⋂B)

=> A and B are independent.

d)

P(A) x P(B) = (1/3) x (1/6) = 1/18

P(A⋂B) = P(B|A) x P(A) = (1/2) x (1/3) = 1/6

=> P(A) x P(B) is not equal to P(A⋂B)

=> A and B are not independent.

Hope this helps!

:)

Answer:

Plot the points (0,2) and (3,3)

Step-by-step explanation:

(0,2) is the y-intercept and the slope is always rise over run so go up 1 unit and right 3 units, that gets you to (3,3)

you could also plot any point other than (3,3) that is on the same line