You deposit $500 into a savings account that increasing by 7% interest annually. Write the function that represents the balance after t years. Then what is the balance after 2 years.

Answer:

The equation of the line, in slope-intercept form, that passes through (3,-1) and has a slope = -2/3 is:

[tex]\mathbf{y=-\frac{2}{3}x+1}[/tex]

Step-by-step explanation:

We need to write equation of the line, in slope-intercept form, that passes through (3,-1) and has a slope = -2/3.

The equation for slope-intercept form is: [tex]y=mx+b[/tex]

where m is slope and b is y-intercept.

We are given slope m = -2/3 and we need to find y-intercept i.e b to write equation of line.

Using point (3,-1) and slope m=-2/3 we can find y-intercept i.e b

[tex]y=mx+b\\-1=-\frac{2}{3}(3)+b\\-1=-2+b\\b=-1+2\\b=1[/tex]

So, y-intercept b = 1

The equation of the line, in slope-intercept form, that passes through (3,-1) and has a slope = -2/3 is:

[tex]y=mx+b\\\mathbf{y=-\frac{2}{3}x+1}[/tex]

Joshua after all his spending has $7.75 at the end of the month

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Let, The savings and his work be denoted by a positive amount and his spending be donated by a negative amount.

So, From the information given his savings of $20.50 and his work of mowing the lawn for $7.50 and washing a car for $3.75 should be added which is,

= $(20.50 + 7.50 + 3.75).

= $31.75

Now, we'll subtract all his spending,

= $(31.75 - 5.25 18.75).

= $7.75.

learn more about numerical expressions here :

https://brainly.com/question/29199574

Answer:

4

Step-by-step explanation:

AB + BC = AC

(x + 4) + (2x - 10) = 2x + 1

x + 4 + 2x - 10 = 2x + 1

x - 6 = 1

x = 7

BC = 2(7) - 10 = 4

Answer:

80 KG :)

Step-by-step explanation:

Answer:

(-2.5,0)

Step-by-step explanation:

1.5(4x+3y)=-10(1.5) =

6x+4.5y=-15

6x+4.5y= 6x-5y (substitution)

-6x from both sides

4.5y =-5y

y=0

6x-0=-15

divide by 6

x=-2.5

Check:

-2.5(4)+3(0)=-10

-10= -10 (correct!)

(6)-2.5-0=- 15 (correct!)

Answer:

The recommended weight of the puppy should be equal to or more than 18 pounds but less than 30 pounds. It can be seen as the inequality below too:

[tex]18 \leq x <30[/tex]

X representing the pounds of an adult beagle.

Hope this helps!

- Kay

Answer:

B

.........................

Answer:

B

Step-by-step explanation:

2 1/3 x 2/34

(2 x 3) + 1 = 7/3

(2 x 4) + 3 = 11/4

7/3 x 11/4 = 77/12

77 ÷ 12 = 6 5/12

So B

Answer:

-7.5 ft^3/sec

OR

Volume is decreasing at the rate of 7.5 ft^3/sec

Step-by-step explanation:

Side of cube = 10 feet

Rate of decreasing of side of cube = [tex]\frac{1}{10}\ feet/sec[/tex]

OR

Rate of change of side of cube = [tex]-\frac{1}{10}\ feet/sec[/tex]

To find:

Rate of change in volume when the edge is 5 feet long = ?

Solution:

Volume of a cone is given by:

[tex]V =Side^3[/tex]

If side is [tex]a[/tex] units, then Volume can be written as:

[tex]V =a^3[/tex]

Differentiating w.r.to time:

[tex]\dfrac{dV}{dt} = 3a^2\dfrac{da}{dt}\\\Rightarrow \dfrac{dV}{dt} = 3\times 5^2(-\frac{1}{10})\\\Rightarrow \dfrac{dV}{dt} = -7.5 ft^3/sec[/tex]

Negative sign indicates that the volume is decreasing at the rate of 7.5 ft^3/sec

Answer:

12

Step-by-step explanation: yes, big brain

the answer is 12

Step-by-step explanation:

10 add 2 altogether 12

Answer:

x≥√πax≥πa or x ≤−√πa

Step-by-step explanation:

Answer:

investment interest expense is any amount of interest that is paid on loan proceeds used to purchase investments or securities. Investment interest expenses include margin interest used to leverage securities in a brokerage account and interest on a loan used to buy property held for investment

Answer:

there's no question...

Answer:

x = 20

y = 19

Step-by-step explanation:

(2x - 3)° + (3x - 7)° = 90° (complementary angles)

(2x - 3 + 3x - 7)° = 90°

(5x - 10)° = 90°

5x - 10 = 90

5x = 90 + 10

5x = 100

x = 100/5

x = 20

2y - 1 = 2x - 3 ( vertical angles)

2y = 2x - 3 + 1

2y = 2x - 2

2y = 2*20 - 2 (plug x = 20)

2y = 40 - 2

2y = 38

y = 38/2

y = 19

Answer:

the gas mileage would be 21.12 mi/gal

Step-by-step explanation:

The computation of the gas mileage is shown below:

Given that

Driving into a 20-mph

Gas mileage by approx 12%

No wind at 24mi/gal

based on the above information

The deduction would be

= 12% × 24

= 2.88 mi/gal

Now the actual mileage in 20-mph would be

= 24 - 2.88

= 21.12 mi/gal

hence, the gas mileage would be 21.12 mi/gal

Answer:

85 dollars

Step-by-step explanation:

34/4=8.5

8.5*10=85

Answer:

0.55

Step-by-step explanation:

all you do is subtract

Answer:

n = 5,000 - 12t ​

Step-by-step explanation:

Sam is handing out advertisements for an upcoming event.

No of advertisements = 5000

No of advertisements per minute is 12.

We need to find the equation that best models the relationship between the amount of time t, Sam spends handing out advertisements and the number of advertisements, n, remaining.

5000 is fixed and there are 12 advertisements per minute. Let the equation is given by :

n = 5,000 - 12t ​

Hence, the correct option is (d).

Answer:

106.33

Step-by-step explanation:

after decimal you have .3 tenths 2 hundredths 7 thousandths

to round to the nearest hundredths look at thousandths 7 becasuse is greater then 5 then you round up

106.327 is rounded to 106.33

Answer:

your answer is 106.3

Step-by-step explanation: so first you do this

[tex]106.327\\3 =tenths\\2= hundredths[/tex]

so when you round  if it is 5 or above you round up if it is 4 or below leave it alone

so the final answer is 106.3

when you round the 27 is removed and this is what you have left.

Answer:

Step-by-step explanation:

y = (0,-10)

x = (3,0)

hope this helped

1. 9/13

2 . 45/2 =  22  1/2

3.  9

4. 45/8 = 5 5/8  

Answer: The one of the top right has the greatest value.

Explanation: Well, I see on the right side it allows you to use a calculator, so just use one.

The one on the top left is 2 and 1/4.

The one of the top right is 22 and 1/2.

The one on the bottom left is 9.

The one on the bottom right is 5 and 5/8.

The one on the top right (22 and 1/2) has the greatest value.

Following the same proportions as the table, the correct option is:

A. 5 white marbles, 6 yellow marbles and 11 green marbles.

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

From the table, we have that:

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

For the marbles, we have to find an option in which the proportions are the same, that is: 25% white, 45% green, 30% yellow.

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

Option A:

Out of 20, 5 white, 6 yellow and 11 green.

[tex]\frac{5}{20} = 0.25, \frac{6}{20} = 0.3, \frac{11}{20} = 0.55[/tex]

Same proportions, thus, option A is correct.

A. 5 white marbles, 6 yellow marbles and 11 green marbles.

A similar question is given at https://brainly.com/question/19905617

Answer:

A.  5 white marbles, 6 yellow marbles, and 9 green marbles

Step-by-step explanation:

the amount of marbles adds up to 20, this would make one marble worth 5/100. so 5 white marbles is 25% (theme A) 9 green marbles is 45% (theme B) and 6 yellow marbles is 30% (theme C)

Answer:630/18=d

35=d

It will take Meghan 35 days to finish her 630 page book.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Step one:

given data

we are told you earn $1200

the linear function for the cost is expressed as

y=1200x-----------------1

Step two:

We want to bring out the following information

Independent: The number of screens which is x

Dependent: The total revenue which is y

Function: y=1200x

What is a dependent variable?

This is a variable that rely on the value of other terms

What is a independent variable?

this is a variable that does not rely on other terns

The range of possible value for x is  3/2< x <24 , using properties of angle and sides.

How sides and angles are related ?

Side opposite to larger angle is always larger than other.

Here,

In  ΔBCE and ΔCED

BE=DE

CE=EC

AND BC>CD

So, from above statement, ∠BEC > ∠CED

then,

45 > 2x - 3

48 > 2x

24 > x  or  x < 24

And, angle is always greater than 0

So, 2x - 3 > 0

      2x > 3

      x > 3/2.

So, option 3rd is correct.

Learn more about angle and side from given link:

https://brainly.com/question/27758960

#SPJ1

Answer: 0.0125 is your answer