PLEASE ANSWER ASAP THANK YOU!!!

How much money will be in a bank account after 3 years if $9 is deposited at an interest rate of 5% compounded annually? Round to the nearest dollar.

Answers

Answer 1

Answer:

$10.42

Step-by-step explanation:

Compound interest formula: A=p(1+r/n)^nt

9=p, r=0.05, n=1, and t=3

A=9(1+0.05)^3

A=9(1.05)^3

Plug this into calculator and you get $10.42

Answer 2

Answer:

A  = $10.42

Step-by-step explanation:

The appropriate formula is the "compound amount" formula given by

A = P(1 + r)^t,

where P is the initial amount, r is the annual interest rate as a decimal fraction, and t is the number of years elapsed.

Here:  

A = $9(1 + 0.05)^3, or

A  = $9(1.05)^3, or

A  = $10.42


Related Questions

Friends, i need help with this question.

Answers

Answer:

Step-by-step explanation:

The answer is 4.

Once you add 4, you get:

x^2 -2x + 4 = 7.

The left side is factorable:

(x-2)^2 = 7.

There is your perfect square.

can someone help me explain this please

Answers

no thank you just move right along

In case of linear function the graph will be a straight line as the change is constant in every interval. But in case of non-linear function, instead of straight line the graph will generate curve line as the change is not constant in every interval.

Formula to count binary number system

Answers

Answer:

learn what is binary system

add one by changing the last 0 into 1

Write another digit if all the numbers are one.

Use these rules to count to five.

Count to six.

Count to ten

Notice when new digits get added.

Practice with higher numbers.

hope this will help you and pls answer my questions also

To count in binary, you start with 0, then you go to 1. Then you add another digit, like you do in decimal counting when you go from 9 to 10. You add another digit, so you have two digits now. So, in binary, you go from 1 to 10 since 1 is your last counting number.14 Sep 2020
Decimal: 8
Binary: 1

Evaluate this expression when a=9

Answers

Answer:

63

Step-by-step explanation:

a=9

7a

7(9)

63

Please please please help!!!!

Answers

Answer:  5^(-18)

======================================================

Explanation:

The rule we use is

a^b * a^c = a^(b + c)

This says that if we multiply exponential expressions with the same base, then we add the exponents. We keep the base the same the entire time.

For example, 2^3*2^4 = 2^(3+4) = 2^7

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

For this problem, we'll say,

5^(56)*5^(22)*5^(-96)

5^( 56+22+(-96) )

5^(-18)

Be sure that you use parenthesis so that you tell your teacher that all of the -18 is in the exponent. Saying 5^-18 could lead to ambiguity.

Answer:

sorry it he question isn't clear

A number between 10 and 100 is four times of its sum. If 18 is added,the number wil be its reverse. Find the number.​

Answers

Answer:

The correct number is 24

Step-by-step explanation:

I believe the answer is 24 because 24 + 18 is 42 which is reverse of 24. So the answer is 24

HELPPPPP ME OUUTTTTTTT!!!!

Answers

Answer:

20 degrees

Step-by-step explanation:

we can consider 33 to be the radius of a circle.

31 would then be the cos of the angle in that circle.

the regular cos function is defined for the standard circle with radius 1. so, that would be multiplied by 33 for this circle here.

31 = cos(?) × 33

cos(?) = 31/33 = 0.9393...

? = 20.05 ≈ 20 degrees

Can someone help me with this math homework please!

Answers

Answer:

2 option

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

Hope it helps...

Have a great day!!

Answer:

B

Step-by-step explanation:

From -1 to 1 on the x-axis, the graph has to be below the x-axis because then the y-values will be negative.

Answer choice C & D have the graph above the x-axis in that interval, so it's positive instead of being negative. We can cross out those two answer choices.

The reason why answer choice A isn't correct is because at 1, the graph line is above the x-axis, since the brackets [-1, 1] means it includes -1 and 1.

So the only answer left is B.

Hope that helps (●'◡'●)

A lifting tackle consist of 2 pulley b lock containing 2 and 3 pulley respectively. How mu;st this tackle be use to bbtain the greatest VR? What is the value of this VR?

Answers

Answer:

[tex]VR=5[/tex]

Step-by-step explanation:

From the question we are told that:

No of Pulleys =5

Generally Greatest VR is achieved if it has no friction to the pulleys

Therefore

[tex]W=5P[/tex]

Generally the equation for Efficiency  is mathematically given by

[tex]n=\frac{MA}{VR}[/tex]

Where

MA=mechanical advantage

Therefore  at Greatest VR

[tex]n=100 \%[/tex]

[tex]MA=VR[/tex]

[tex]VR=\frac{W}{P}[/tex]

[tex]\frac{W}{P}=5[/tex]

[tex]VR=5[/tex]

Find the center and radius of the circle with equation (x+3)^2+(3+ 1)^2= 9. Then graph the circle.

Answers

Answer:

See graph

[tex](x +3)^{2}[/tex] + [tex](y + 1)^{2}[/tex] = 9

(-3 , -1) is the center.

[tex]\sqrt{9}[/tex] = 3 = radius

Step-by-step explanation:

[tex](x - h)^{2} + (y - k)^{2} = r^{2}[/tex]

center (h,k)

radius = r

This table shows information about two occupations.
SmartScore
out of 100 G
Carpenter
Carpenters use woodworking
equipment to construct building
frameworks and other structures out
of wood.
Interior designer
Interior designers determine
how interior spaces will
function, look, and be
furnished
0
Description
Bachelor's degree, with
coursework in interior design
Typical
High school diploma, but most
education
complete an apprenticeship
required
Median income $46,500 per year
$53,500 per year
In which occupation would you have a higher risk of getting an injury from a sharp object?
carpenter
interior designer
T
(0)
RE

Answers

yes it can be possible to do

please help to solve my doubt....tomarrow math exam
Dividing polynomail
[tex](4 - 10x - {6x}^{2} ) \div (4 + 2x)[/tex]

Answers

Answer:

Step-by-step explanation:

HELPPP MEEEE OUTTTTTT ITS URGENTTTTT!!!!

Answers

Answer:

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

Step-by-step explanation:

Find the integer solution of the equation
a)5x+25=-3xy+8y^2
b)2y^2+x+y+1=x^2+2y^2+xy

Answers

Answer:

the answer is as follows:

Step-by-step explanation:

a)

The equation has the following integer solutions:

5*x+25=-3*xy+8*y^2

Number of solutions found: 3

x1=-31; y1=-10

x2=-7; y2=-2

x3=-5; y3=-0

b)

The equation has the following integer solutions:

2*y^2+x+y+1=x^2+2*y^2+xy

Number of solutions found: 2

x1=0; y1=-1

x2=2; y2=-1

 Do not forget to give appriciation.

The number of days (d) is equal
to the quotient of the number of
hours (h) and 24.
A. d = h - 24
B. h = 24 d
C. h = 24 h
D. h = 24 + h

Answers

Answer:

B

Step-by-step explanation:

[tex]d \: = \frac{h}{24} [/tex]

make h the subject of the formula

h = 24 d

Factorise x²-5 please

Answers

[tex]\sf \: {x}^{2} - 5[/tex]

[tex]\sf \: Use \: the \: algebraic \: identity \\ \sf \: a {}^{2} - {b}^{2} = (a - b)(a + b)[/tex]

[tex]\sf \: Substitute \: the \: value \: of \: a \: and \: b \: in \: the \: identity.[/tex]

[tex]\sf \: a = \sqrt{x ^{2} } = x \\ \sf \: b = \sqrt{5} [/tex]

[tex]\sf \: the \: identity \: becomes \: [/tex]

[tex]\sf {x}^{2} - 5 \\ \sf = (x - \sqrt{5} )(x + \sqrt{5} ) \\ [/tex]

Answer ⟶ [tex]\boxed{\bf{(x - \sqrt{5} )(x + \sqrt{5} )}}[/tex]

what is rational number and arithmetic number​

Answers

[tex] \huge \mathtt \blue{answer}[/tex]

Here, “p” is a numerator and “q” is a denominator. The examples of rational numbers are 6/5, 10/7, and so on. The rational number is represented using the letter “Q”. Like real numbers, the arithmetic operations, such as addition, subtraction, multiplication, and division are applicable to the rational numbers.

A) Determina el largo y el ancho de tres rectángulos de distintas formas que tienen el área de 24cm2.

Answers

Answer:

Para un rectángulo de largo L y ancho W, el área se define como:

A = L*W

Ahora sabemos que nuestro rectángulo tiene un área de 24cm^2

Entonces queremos encontrar 3 pares de valores L y W tal que:

L*W = 24cm

Esto es bastante trivial, podemos simplemente definir una de las dos variables, y así encontrar el valor de la otra.

Por ejemplo, si definimos L = 1cm

tenemos:

(1cm)*W = 24cm^2

W = (24cm^2)/(1cm) = 24cm

Entonces un posible rectángulo tiene un largo de 1cm y un ancho de 24cm

Si tomamos L = 3cm tenemos:

(3cm)*W = 24cm^2

W = (24cm^2)/(3cm) = 8cm

Un rectángulo con 8cm de ancho y 3cm de largo es otra opción.

Si tomamos L = 4cm tenemos:

(4cm)*W = 24cm^2

W = (24cm^2)/(4cm) = 6cm

Un rectángulo con 6cm de ancho y 4cm de largo también es un posible rectángulo.

Así, los 3 rectangulos que se piden pueden ser:

1) largo 1 cm, ancho 24cm

2) largo 3cm, ancho 8cm

3) largo 4cm, ancho 6cm

Find the missing length of the following trapezoid

Answers

Answer:

1) The length of [tex]DC[/tex] is 20.

2) The length of [tex]PS[/tex] is 17.

Step-by-step explanation:

1) If [tex]DR = RE[/tex] and [tex]CS = SB[/tex], then we can use the following proportionality ratio:

[tex]\frac{DE}{DR} = \frac{32 - x}{26 - x}[/tex] (1)

Where [tex]x[/tex] is the length of segment [tex]\overline{CD}[/tex].

If [tex]DE = 2\cdot DR[/tex], then the value of [tex]x[/tex] is:

[tex]2 = \frac{32-x}{26-x}[/tex]

[tex]52 - 2\cdot x = 32 - x[/tex]

[tex]20 = x[/tex]

The length of [tex]DC[/tex] is 20.

2) If [tex]QV = VP[/tex] and [tex]RW = WS[/tex], then we can use the following proportionality ratio:

[tex]\frac{QP}{QV} = \frac{x-7}{12-7}[/tex] (2)

Where [tex]x[/tex] is the length of segment [tex]\overline{PS}[/tex].

If [tex]QP = 2\cdot QV[/tex], then the value of [tex]x[/tex] is:

[tex]2 = \frac{x-7}{5}[/tex]

[tex]10 = x-7[/tex]

[tex]x = 17[/tex]

The length of [tex]PS[/tex] is 17.

PLS help simple math properties ASAP needing 5 and 6 that’s all :)

Answers

They both seem to be substitution

plzz helpppppp222!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

The rectangle has 4 corners of 90 degrees.

Here a rectangle is divided into two right triangles. In right-angled triangles, the opposite side at a 30-degree angle is half a chord...I replace x instead of length.. So x / 2 = 4--->x:8

The perimeter of a rectangle is equal to (length + width) × 2--->(8+4)×2=24m^2

Answer:

[tex]\text{(D) }16\sqrt{3}\:\mathrm{m^2}[/tex]

Step-by-step explanation:

In all 30-60-90 triangles, the sides are in ratio [tex]x:2x:x\sqrt{3}[/tex], where [tex]x[/tex] is the side opposite to the 30 degree angle and [tex]2x[/tex] is the hypotenuse of the triangle.

The rectangle shown forms two 30-60-90 triangles. The side labelled 4 meters is opposite to the 30 degree angle. Therefore, the side on top must be [tex]x\sqrt{3}\text{ for }x=4[/tex]. Let the length of the top base be [tex]w[/tex]:

[tex]w=4\sqrt{3}[/tex]

The area of a rectangle with length [tex]l[/tex] and width [tex]w[/tex] is given by [tex]A=lw[/tex]. Thus, the area of the rectangle is:

[tex]A=4\cdot 4\sqrt{3},\\A=\boxed{16\sqrt{3}\:\mathrm{m^2}}[/tex]

The area of a parallelogram is 64 m2. If a diagonal divides the parallelogram into 2 triangles, what is the area of 1 of the triangles?
a. 4 m2
b. 128 m2
c. 32 m2
d. 8 m2

Answers

Answer:

[tex]32\:\mathrm{m^2}[/tex]

Step-by-step explanation:

When cut by a diagonal, the parallelogram will be divided into two congruent triangles. By definition, congruent polygons have equal areas. Therefore, let the area of each of the triangle be [tex]x[/tex]:

[tex]x+x=64,\\2x=64,\\x=\frac{64}{2}=\boxed{32\:\mathrm{m^2}}[/tex]

Decide whether the relation is a function or not.
{(-3, 5), (-2, 5), (0, 5), (1, 5), (2, 5)}

Answers

Answer:

[see below]

Step-by-step explanation:

A functions input is assigned to exactly one output. This means that the inputs must not repeat.

{(-3, 5), (-2, 5), (0, 5), (1, 5), (2, 5)}

Since no inputs repeat, the relation given is a function.

Hope this helps.

Answer:

Yes, it's a function.

Step-by-step explanation:

X or input no repeated.


Consider the function given by the graph. What are
these values?
f(-2) =
f(0) =
f(4) =

Answers

Answer:

the values of it is the first one. meaning: f(-2)

Answer:

Step-by-step explanation:

2

3

-1

Calculate the next 3 terms and write the formula for the nth term for the following sequences. 24,11,-2

Answers

Answer:

next 3 terms are -15, -28, -41. The formula would be n= (n-1)-13 to get the nth term

Step-by-step explanation:

Which pair shows equivalent expressions? 12x+10=-2 (x-5) -2(x+5)=2x-10 -2x-10=-2(x+5) -2(x-5)=-2x-10

Answers

Answer:

-2x-10=-2(x+5)

Step-by-step explanation:

Just multiply and find the pair that matches which happens to be the 3rd pair. you're welcome

1) Jill sold half of her comic books and then
bought sixteen more. She now has 36. With
how many did she begin?


2) For a field trip 4 students rode in cars and
the rest filled nine buses. How many
students were in each bus if 472 students
were on the trip?

1.
2.

Answers

Answer:

1. 40

2. 52

Step-by-step explanation: 1. Subtract 16 from 36 then multiply by 2

2. Subtract 4 from 472 then divide by nine

Question 2 8 Find the coordinates of the points of intersection of the curve 1 and the line +9 [0] ​

Answers

Answer:

point 1 = (3, 6)

point 2 = (24, -15)

Step-by-step explanation:

8/x - 10/y = 1

x + y = 9

x = 9 - y

=>

8/(9-y) - 10/y = 1

8 - 10×(9-y)/y = 9 - y

-90/y + 10y/y = 1 - y

-90/y + 10 = 1 - y

-90 + 10y = y - y²

y² + 9y -90 = 0

the solution to a squared equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case we use y instead of x.

a = 1

b = 9

c = -90

y = (-9 ± sqrt(81 - -360))/2 = (-9 ± sqrt(441))/2 =

= (-9 ± 21)/2

y1 = 12/2 = 6

y2 = -30/2 = -15

8/x - 10/6 = 1

8 - 10x/6 = x

8 - 5x/3 = x

24 - 5x = 3x

24 = 8x

x = 3

8/x - 10/-15 = 1

8/x + 2/3 = 1

8 + 2x/3 = x

24 +2x = 3x

24 = x

Can anyone assist me with this problem ?

Answers

Answer,

C

Step-by-step explanation:

I had the same question 2 days ago

geometry question- SOLVE FOR X.

Answers

Answer:

[tex]x = 4[/tex]

Step-by-step explanation:

Step 1:  Solve for x

Since there are two parallel lines and one perpendicular line through the middle, that means that all of the angles are equal.  Therefore, we can make an equation 21x + 6 = 90 and solve for x

[tex]21x + 6 - 6 = 90 - 6[/tex]

[tex]21x / 21 = 84 / 21[/tex]

[tex]x = 4[/tex]

Answer:  [tex]x = 4[/tex]

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