What is the equation of the line in slope-intercept form

Answer:

t = [tex]\frac{A - p}{pr}[/tex]

Step-by-step explanation:

A = p + prt

A - p = p - p + prt

A - p = 0 + prt

A - p = prt

[tex]\frac{A - p}{pr}[/tex] = [tex]\frac{prt}{pr}[/tex]

[tex]\frac{A - P}{pr}[/tex] = t

Answer:

11

Step-by-step explanation:

\text{Compounded Daily:}

Compounded Daily:

A=P\left(1+\frac{r}{n}\right)^{nt}

A=P(1+  

n

r

​  

)  

nt

Compound interest formula

A=70900\hspace{35px}P=37000\hspace{35px}r=0.057\hspace{35px}n=365

A=70900P=37000r=0.057n=365

Given values

70900=

70900=

\,\,37000\left(1+\frac{0.057}{365}\right)^{365t}

37000(1+  

365

0.057

​  

)  

365t

Plug in values

70900=

70900=

\,\,37000(1.0001562)^{365t}

37000(1.0001562)  

365t

Simplify

\frac{70900}{37000}=

37000

70900

​  

=

\,\,\frac{37000(1.0001562)^{365t}}{37000}

37000

37000(1.0001562)  

365t

​  

Divide by 37000

1.9162162=

1.9162162=

\,\,1.0001562^{365t}

1.0001562  

365t

\log\left(1.9162162\right)=

log(1.9162162)=

\,\,\log\left(1.0001562^{\color{blue}{365t}}\right)

log(1.0001562  

365t

)

Take the log of both sides

\log\left(1.9162162\right)=

log(1.9162162)=

\,\,\color{blue}{365t}\log\left(1.0001562\right)

365tlog(1.0001562)

Bring exponent to the front

\frac{\log\left(1.9162162\right)}{\log\left(1.0001562\right)}=

log(1.0001562)

log(1.9162162)

​  

=

\,\,\frac{365t\log\left(1.0001562\right)}{\log\left(1.0001562\right)}

log(1.0001562)

365tlog(1.0001562)

​  

Divide both sides by log(1.0001562)

4164.8632402=

4164.8632402=

\,\,365t

365t

Use calculator

\frac{4164.8632402}{365}=

365

4164.8632402

​  

=

\,\,\frac{365t}{365}

365

365t

​  

Divide by 365

11.4105842=

11.4105842=

\,\,t

t

t\approx

t≈

\,\,11

11

Using compound interest, it is found that it would take 11 years for the value of the account to reach $70,900.

The amount of money earned, in compound interest, after t years, is given by:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

In which:

Hence, the parameters are given as follows:

[tex]A(t) = 70900, P = 37000, n = 365, r = 0.057[/tex]

We have to solve for t, then:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

[tex]70900 = 37000\left(1 + \frac{0.057}{365}\right)^{365t}[/tex]

[tex]\left(1 + \frac{0.057}{365}\right)^{365t} = \frac{70900}{37000}[/tex]

[tex]\left(1 + \frac{0.057}{365}\right)^{365t} = 1.91621622[/tex]

[tex](1.00015616)^{365t} = 1.91621622[/tex]

[tex]\log{(1.00015616)^{365t}} = \log{1.91621622}[/tex]

[tex]365t\log{1.00015616} = \log{1.91621622}[/tex]

[tex]t = \frac{\log{1.91621622}}{365\log{1.00015616}}[/tex]

t = 11.41

Rounding to the nearest year, it would take 11 years for the value of the account to reach $70,900.

More can be learned about compound interest at https://brainly.com/question/25781328

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Answer:

Step-by-step explanation:

Answer:

Conner is correct.

Step-by-step explanation:

Answer:

Connor is correct because the rate of water flowing is equal to the slope. Water is flowing at a rate that is equal to 2 gallons per minute.

Step-by-step explanation:

Answer:

Step-by-step explanation:

  Step one:

Given that membership is $9 and the cost per visit is $1

let the number of visits be x

and the total cost be y

the total cost  for the situation is modeled as

y=mx+c-----equation of a line

   Step two:

given that x=23, we can solve for the totals cost as

by substituting we have

y=1*23+9

y=23+9

y=32

The total cost for 23 visits is $32

by any chance do you go to a higl school in Conroe bc I’m taking that exact test on canvas

Step-by-step explanation:

Answer:

$16.08

Step-by-step explanation:

13.75+2.33=16.08

Answer: i dont know the answer but can i please have brainliest, i wanna know what it looks like and what it does

Step-by-step explanation:

100 times 7= 700 any number times 100 you would add two zeros, 700+23=723

Hope this helps :]

Answer:

A rotation 90 degrees clockwise

Step-by-step explanation:

Answer:

25000

Step-by-step explanation:

it's independent because it's not related with her total sales s

Answer: 119/15 = 7 14/15

Answer:

240

Step-by-step explanation:

Step-by-step explanation:

Similar triangles

[tex] \frac{6}{uv } = \frac{8}{3} [/tex]

uv=18/8

uv= 2.25

Answer:

Step-by-step explanation:

Answer:

Not a function

Step-by-step explanation:

This is not a function because every x value has more than one y value. Think about it this way. If you have a person and you are telling them to go to three different places at once, they can't. That means this isn't a function. Hope this helps!

Answer: That is not a function

Hope it helped

Step-by-step explanation:

Answer:

it the third answer

Step-by-step explanation:

3(x-5)< 5x+7

Answer:

50 cents

Step-by-step explanation:

4.50 + 5.00 + 5.00 + 2.00 x 3 = ?

                                                   ^

                                       20.00 - ?

Answer:

D. 14

make y the subject of the formula in equation 1 and then substitute it in equation 2

Answer:

90 is correct good job

Step-by-step explanation:

Answer:

He should use 800 pounds of trail mix 5% raisins and 200 pounds of trail mix 20% raisins

Step-by-step explanation:

System of Equations

Let's call

x = pounds of trail mix 5% raisins

y = pounds of trail mix 20% raisins

The distributor wants to make 1,000 pounds of trail mix, thus:

x + y = 1,000     [1]

The mix must be 8% raisings as a combination of x and y, thus:

5x + 20y = 8*1,000 = 8,000

Dividing by 5:

x + 4y = 1,600     [2]

Subtracting [2] and [1]:

4y - y = 1,600 - 1,000

Operating:

3y = 600

y = 200

From [1]

x = 1,000 - y = 1,000 - 200

x = 800

He should use 800 pounds of trail mix 5% raisins and 200 pounds of trail mix 20% raisins

Answer:

5% raisin mix: 800 lbs

20% raisin mix: 200 lbs

Step-by-step explanation:

Let number of 5% be x; and number of 20% be a.

x + y = 1000

5% · x + 20% · y = 8% of 1000 pounds

0.05x + 0.2y = 80

x = 1000 - y

0.05(1000 - y) + 0.2y = 80

50 - 0.05y + 0.2y = 80

0.15y = 30

y = 200

x = 1000 - y

x = 1000 - 200

x = 800

Answer:

110

242

Step-by-step explanation:

To get the amount for Number of ships 5. you do 5*22.

Same for the the #11. you do 11*22.

Answer:

Step-by-step explanation:

Answer:

x : y : z = 9 : 10 : 6

Step-by-step explanation:

Expressing the ratio y : z = 5 : 3 in fractional form, that is

[tex]\frac{y}{z}[/tex] = [tex]\frac{5}{3}[/tex] ( cross- multiply )

5z = 3y ( divide both sides by 5 )

z = [tex]\frac{3}{5}[/tex] y = [tex]\frac{3}{5}[/tex] × 10 = 3 × 2 = 6

Thus

x : y : z = 9 : 10 : 6

Answer:

The probability that Kyle will pick a girl who likes football is 12.5%.

Step-by-step explanation:

The data provided is as follows:

                         Boys        Girls       Total

Basketball          10             8             18

 Football           25             7             32

  Soccer             9             19             28

 Baseball           18            22            40

   Total               62           56            118

Compute the probability that Kyle will pick a girl who likes football as follows:

[tex]P(F|G)=\frac{n(G\cap F)}{n(G)}[/tex]

            [tex]=\frac{7}{56}\\\\=0.125\\\\=12.5\%[/tex]

Thus, the probability that Kyle will pick a girl who likes football is 12.5%.

Step 1: Use slope formula* to determine slope (or m) using both points given.

[tex]\frac{9 - 1}{2 - (-2)}\\\\\frac{8}{4} = 2[/tex]

Step 2: Use slope-intercept formula** , ONE of the points given, and the slope we just found to solve for b.

[tex]1 = 2(-2) + b\\\\1 = -4 + b\\\\5 = b[/tex]

Step 3: Now we can set up an equation of this line in slope-intercept form.

[tex]y = 2x + 5[/tex]

*Slope formula: y₂ - y₁/x₂ - x₁

**Slope-intercept formula: y = mx + b

Answer:

The slope calculator helps find the slope of any line through two given points. ... To find the equation of a line for any given two points that this line passes through, use our ... to calculate the slope of the line passing through the points (3,8) and (-2, 10) . ... Make sure that the points you measure from are the same as step 1.

Step-by-step explanation: