You deposit some money in an account with an interest rate of 4% for 6 years. If you earned $407.83 in interest, how much did you invest? Round to
the nearest cent.

Answers

Answer 1

Answer:

$1,699.29

Step-by-step explanation:


Related Questions

The formula for throwing a baseball in the air is represented by the attached function, where h represents the height of the ball in inches, and t represents time. How high is the baseball after 3 and a half seconds?
h(t)=-3t^2+12t+40

Answers

Answer:

45.25 in

Step-by-step explanation:

To solve this question you would plug 7/2 or 3.5 in for t and solve for h(t).

h(t)=-3(7/2)^2+12(7/2)+40

=-3(49/4)+(84/2)+40

=(-147/4)+42+40

=-36.75+42+40

=45.25 in

-2a3 - 3a2 + 4a + 6, 2a3 + 5a2 + 7
sum the expression

Answers

Answer:

2a2 + 4a + 7

Step-by-step explanation:

As, - (2a3 - 3a2 + 4a + 6) + (2a3 + 5a2 + 7)

= 2a2 + 4a + 13

10) Choose the correct answer.

A method of solving systems of linear equations by adding the two equations together is called __________.

*Gaussian addition
*Gaussian elimination
*Gaussian division
*Gaussian substitution

Answers

the answer is A, if you read the sentence it says” by adding “

Find the solution of the system of equations.


First equation,

4x – 3y = -13

Second equation,

-x+ 6y = -44

Answers

-9 and another number (i dont have paper rn sorry)

Can someone help with these 2 questions please? will give brainliest and 19 points (one is in picture attached)

You order candles from a website that charges $15 per candle. You
only have $65.00 to spend on candles. Your cost, in dollars, is a
function of the number of candles you order.
Which of the following statements describe the domain and range
of this function? Select TWO that apply.
O A) The domain is the set of all real numbers from 0 to 4
O B) The domain is the set of all integers from 0 to 4.
O C) The range is the set of all integers from 0 to 60.
OD) The range is the set of all multiples of 15 from 0 to 60.
OE) The range is the set of all real numbers from 0 to 60.

Can someone help with these 2 questions please? will give brainliest and 19 points

Answers

Answer:

A

Step-by-step explanation:

I think

Answer: D and B

Step-by-step explanation:

The range (answered by D) is only the multiples of 15 between 0 and 60 as it is impossible to pay an amount different than the correct inclinations of 1/15 per candy. For example, it is impossible to pay 12.345421 dollars for a candy.

A similar solution applies for the domain. Only integers(whole numbers) are valid as you cannot buy 1.2862 of a candy.

Hope this helps.

if f(x)=x-5/4 and f-1(x)=25 find the value of x​

Answers

Answer:

ANSWER

g=f

−1

f(g(x))=x

Differentiate w.r.t.x

f

(g(x))⋅g

(x)=1

1+(g(x))

4

1

⋅g

(x)=1

g

(x)=1+[g(x)]

4




Abby is using the Distributive Property to find 27 x 52


Drag the correct number into each box to show her work.


Numbers may be used once, more than once, or not at all.



27 x 52 = (20 +


) x (50 +


= (20+7)x


+ (20+7)x


= (20 x 50) + (7 x 50) + (20 X 2) + (7 2)


11

Answers

Answer:

27 x 52  = ( 20 + 7 ) x ( 50 + 2 )  = 1404

Step-by-step explanation:

27 x 52

( 20 + 7 ) x ( 50 + 2 )

(20 x 50) + (20 x 2) + (7 x 50) + (7 x 2)

= 1000 + 40 + 350 + 14

= 1404  

Simplify r^6 • r^5 type your answer in the box

Answers

Answer:

r^11

Step-by-step explanation:

A pancake mix requires 5 cups of flour for every 10 pancakes. How much flour is used per pancake?

Answers

So you have 5 cups of flour for 10 pancakes so what you want to do is just divide 10 by 5 and you get your answer of 2 :)

HELP ME FIND THE SLOPE

Answers

Answer:

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

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

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

Step-by-step explanation:

Step 1: Define

Choose any 2 points from the chart.

Point (-6, 11)

Point (-2, 1)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{1-11}{-2+6}[/tex]Subtract/Add:               [tex]m=\frac{-10}{4}[/tex]Simplify:                        [tex]m=\frac{-5}{2}[/tex]

What is the coefficient in the expression 5+ 9y5+9y5, plus, 9, y?

Answers

Answer:

Step-by-step explanation:

The coefficient is the number part.

Answer:

9

Step-by-step explanation:

Correct me if i'm wrong

A cleaning company charged $125 to clean a 2500 square foot house. The same company charged $146 to clean a 3200 square foot house. Write an equation in slope-interceptiom to represent the total cost, y, to clean a house with x square feet. Then, find the total cost to clean a house that is 4500 square feet.​

Answers

Answer:

The cost is y = $185

Step-by-step explanation:

Let us have points spelt out here

(2500,125) and (3200,146)

The general form of a straight line equation is;

y = mx + b

where m is slope

So to calculate the slope in this case, we have

m = (146-125)/(3200-2500)

m = 21/700 = 0.03

So we have the equation as

y = 0.03x + b

To get b, we use any of the two points

Let us use (2500,125)

So we have

125 = 0.03(2500) + b

125 = 75 + b

b = 125-75

b = 50

So the complete equation of the line is;

y = 0.03x + 50

So here, we want to find the cost of a house with 4500 square feet

simply substitute 4,500 for x

y = 0.03(4500) + 50

y = 135 + 50

y = $185

Solve for x -10 + x = -12

Answers

X= -1

Hope this helped you, if it did plz mark Brainlyest

Answer:

=-1

Step-by-step explanation:

1

0

+

=

1

2

{\color{#c92786}{x}}-10+{\color{#c92786}{x}}=-12

x−10+x=−12

2

1

0

=

1

2

I WILL GIVE BRAINLIEST!!!
If –18 < –8, which of the following must be true?


–8 is to the right of 0 on a number line.

–18 is to the left of –8 on a number line.

–18 is to the right of –8 on a number line.

–18 is to the right of 0 on a number line.

Answers

This is fairly easy.
The second choice would be the option here because the greater numbers are always on the right while the lower numbers are on the left.
Hope this helps!
B. -18 is to the left of -8 on a number line.

When comparing negative numbers you have to remember, negatives on a number line always go to the left of 0.

I need help with this question 3 and 4 ​

Answers

Answer:

Both Yes

Step-by-step explanation:

both have a 90 degree angle

Both are yes my dad is very good at math

no its nto rm what is 6667x2228 divided by 34394u9 and subtracted by 343 and then divided again by 2 and then subtract 333 and then multiply 439483

Answers

Answer:

vvvvvvvvvvvvvvvvvvvvvv is equal to 65654

Step-by-step explanation:

Plz someone solve!!!!!!!!!!!!!!!!!!!

Answers

Answer:

C

Step-by-step explanation:

4y+3 <= y+6

First, we subtract 3 from each side to get 4y <= y + 3.

Next, we subtract y from each side to get 3y <= 3.

Next, we divide each side by 3 to get y <= 1.

The graph is C.

1
What is the equation of the line parallel to 8x - 16y= -14 and passing through (3, 0)?

Answers

Answer:

8x -16y = 24

Step-by-step explanation:

8x - 16y= -14

A parallel line (i.e. same slope) will be: 8x - 16y= c

We have to find the value of "c".

If it passes through (x, y) = (3, 0) ⇒ 24 - 0 =  c,

so equation is 8x -16y = 24

Complete the table below.
HeLPP ILL GIVE BRAINLIEST!

Answers

Here...see the attachment

Answer:

see explanation

Step-by-step explanation:

Substitute the value of x into y = x² and y = [tex]2^{x}[/tex]

x = 1

y = 1² = 1 and y = [tex]2^{1}[/tex] = 2

x = 2

y = 2² = 4 and y = 2² = 4

Thus

x      y = x²      y = [tex]2^{x}[/tex]

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

0        0            1

1          1             2

2         4            4

An exponential function is a type of geometric sequence.

True or False

Answers

Answer: True

Step-by-step explanation:

True
I hope this helps!!!

Use the word decay in a sentence

Use the word growth in a sentence

Answers

Answer:

If you don't water your plants and give them sun light they will slowly start to decay.

The growth of how my sister grew this year is incredible she used to be super short.

Step-by-step explanation:

1. not brushing your teeth can cause tooth decay.

2. i monitored the growth of my plant overtime.

HELP!!
Uber is running a special! You pay an initial charge of $3.25 plus 1.50 per mile. Write an equation that can be used to find y, the total cost of the trip, if x represents the number of miles of the trip?

Answers

Answer:

y=1.50x+3.25

Step-by-step explanation:

A block of wood is in the shape of a rectangular prism with dimensions (n+5) cm, (n+8) cm, and (n+14) cm. All faces of the block are painted, and then the block is cut into 1 cm cubes using parallel cuts to each face. If exactly half of the cubes have no paint on them, find the total number of cubes.

Answers

Answer:

The total number of cubes in the rectangular prism are 1,120 cubes

Step-by-step explanation:

The given parameters are;

The dimensions of the rectangular prism block of wood = (n + 5), (n + 8), and (n + 14)

The volume of the block of wood = (n + 5)×(n + 8)×(n + 14) = n³ + 27·n² + 222·n + 560

The quantity of the 1  cm cubes that have no paint = 1/2 of the total quantity = 1/2 the volume of the original cube

The cubes that have paint on them are the surface cubes, we have;

One layer of cube is removed from each of the eight sides, therefore, we have the dimensions of the cube rectangular prism that have no paint on them given as (n + 5 - 2), (n + 8 - 2), and (n + 14 - 2), which gives the dimensions as (n + 3), (n + 6), and (n + 12);

Therefore, we have

2 × (n + 3)×(n + 6)×(n + 12) = (n + 5)×(n + 8)×(n + 14)

2 × (n + 3)×(n + 6)×(n + 12) - (n + 5)×(n + 8)×(n + 14) = 0  

Which gives;

n³ + 15·n² + 30·n - 128 = 0

n = 2

n = -17/2 - √(33)/2 = -5.6277

n = √(33)/2 - 17/2 = -11.3722

Therefore, given that the smallest dimension of the painted prism = (n + 5), the possible value for n = 2

The volume of the rectangular prism = (n + 5) × (n + 8) × (n + 14) = (2 + 5) × (2 + 8) × (2 + 14) = 1120 cm³

Given that the cuts are 1 cm³ each, the total number of cubes in 1,120 cm³ = 1,120 cubes.

half
a number added
to the number gives 144
what is the number​

Answers

(x/3) + x =144

4x = 144 *3

x = (144/4) *3

x=36*3

x=108
The number is 108 :)

Answer:

[tex]the \: number \: is \: 96[/tex]

Explanation:

[tex]let \: the \: number \: be \: = \: x [/tex]

[tex] \frac{x}{2} + x = 144[/tex]

[tex]2( \frac{x}{2} ) + 2(x) = 2(144)[/tex]

[tex]x + 2x = 288[/tex]

[tex]3x = 288[/tex]

[tex] \frac{3x}{3} = \frac{288}{3} [/tex]

[tex]x = 96[/tex]

The position of an object in a video game is represented by an ordered pair. The coordinates of the ordered pair give the

number of pixels horizontally and vertically from the origin. Use this scenario for Exercise.

a. Suppose that player A is located at (36, 315) and player B is located at (410, 53). How far apart are the players? Round to

the nearest pixel

b. If the two players move directly toward each other at the same speed, where will they meet?

c. If player A moves three times faster than player B, where will they meet? Round to the nearest pixel.

Answers

Answer:

a. 457 pixels b. 229 pixels c. 114 pixels

Step-by-step explanation:

a. Using d = √[(x₂ - x₁)² + (y₂ - y₁)²] to find the distance apart of the coordinates (x₁, y₁) and (x₂, y₂) where (x₁, y₁) = (36, 315) and (x₂, y₂) = (410, 53).

So, d = √[(x₂ - x₁)² + (y₂ - y₁)²]

= √[(410 - 36)² + (53 - 315)²]

= √[374² + 262²]

= √[139,876 + 68,644]

= √208,520

= 456.64

= 457 pixels to the nearest pixel.

b. Since the players are d' distance apart, and moving at a same speed of v, if they approach each other, they meet at time t. So player A covers a distance of d = vt. For them to meet, player B approaches and covers a distance of d = d' - vt. So they meet when vt = d' - vt.

Solving this, we have

vt = d' - vt

vt + vt = d'

2vt = d'

t = d'/2v

Substituting t into d = vt, we have

d = vt

= v(d'/2v)

= d'/2

= 457/2

= 228.5

≅ 229 pixels  to the nearest pixel

c. Since the players are d' distance apart, and player A moves at a speed three times that of player B, if player B moves with speed v, then player A moves with speed 3v, as they approach each other, they meet at time t. So player A covers a distance of d = 3vt. For them to meet, player B approaches and covers a distance of d = d' - vt. So they meet when 3vt = d' - vt.

Solving this, we have

3vt = d' - vt

3vt + vt = d'

4vt = d'

t = d'/4v

Substituting t into d = vt, we have

d = vt

= v(d'/4v)

= d'/4

= 457/4

= 114.25

≅ 114 pixels to the nearest pixel

what is 45% of 40 in part, whole, and percent?

Answers

The answer is eighteen.

Does this table show a proportional relationship? If so, what is the constant of proportionality.

Answers

Answer:

yes as x increases by 10, y increased by 2

please help me PLEASE HELP ME!!!!!!!!!!!! PLEASE HELP ME!!!!!!!!!!!! PLEASE HELP ME!!!!!!!!!!!! PLEASE HELP ME!!!!!!!!!!!! PLEASE HELP ME!!!!!!!!!!!! PLEASE HELP ME!!!!!!!!!!!! PLEASE HELP ME!!!!!!!!!!!! PLEASE HELP ME!!!!!!!!!!!!​

Answers

Answer:

2.1/3

3.7/11

Step-by-step explanation:

Answer:

(2)  1/3

(3)  7/11

Find the irrational number between 0.3101 and 0.3333

Answers

Answer:

π/10

Step-by-step explanation:

Irrational Numbers

The irrational numbers are identified because, unlike rational numbers, they cannot be expressed as fractions, i.e., as the result of a division between two integers.

If a number is expressed with a limited number of decimals, it's always possible to write it as a rational.

For example, number 1.2319 can be written as 12319/10000.

Even if the number has an unlimited decimal expression, it could be expressed as rational if the decimal part is periodic. Number 2.33333... is rational because it's equivalent to the fraction 7/3.

We need to find an irrational number between 0.3101 and 0.3333.

Any number within the range with unlimited non-periodic decimals will do:

0.3189567363.... is a good example.

We'll choose the number

π/10 since π is a known irrational number and π/10=0.3141592... lies in the given interval.

Write the equation in point-slope form of the line that passes through the given point and with the given slope m.
(3,-4); m = 6
O y + 4 = 6(x - 3)
O y + 3 = 6(x-4)
O y + 4 = 6(x +3)
O y - 4 = 6(x-3)​

Answers

Answer:

y + 4 = 6(x - 3)

Step-by-step explanation:

Point-slope form: y - y1 = m(x - x1)

Given: m = 6, (3, -4)

(x1, y1) = (3, -4)

Input the given values into the equation for point-slope form:

y - (-4) = 6(x - 3)

y + 4 = 6(x - 3)

The equation written in point-slope form is: y + 4 = 6(x - 3)

I hope this helps :)

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