1200 dollars is placed in an account with an annual interest rate of 7.75%. To the nearest year, how long will it take for the account value to reach 8200 dollars?

Answer:

c is the answer

Step-by-step explanation:

{ y≤1

y-x<0

[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

The formula for slope according to first principle is :

[tex] \qquad \sf  \dashrightarrow \: \[ \displaystyle\lim_{x\to0} \: \: \sf \frac{f(x + h) - f(x)}{h} \][/tex]

[tex] \qquad \sf  \dashrightarrow \: \[ \displaystyle\lim_{x\to0} \: \: \sf \frac{ log(x + h) - log(x)}{h} \][/tex]

[tex] \qquad \sf  \dashrightarrow \: \[ \displaystyle\lim_{x\to0} \: \: \sf \frac{ log( \frac{x + h}{x} ) }{h} \][/tex]

[tex] \qquad \sf  \dashrightarrow \: \[ \displaystyle\lim_{x\to0} \: \: \sf \frac{ log( \frac{ h}{x} + 1 ) }{h} \][/tex]

[tex] \qquad \sf  \dashrightarrow \: \[ \displaystyle\lim_{x\to0} \: \: \sf \frac{ log( \frac{ h}{x} + 1 ) }{ \frac{h}{x} \times x} \][/tex]

[tex] \qquad \sf  \dashrightarrow \: \[ \displaystyle\lim_{x\to0} \: \: \sf \frac{1}{x} \bigg(\frac{ log_{e} ( \frac{ h}{x} + 1 ) }{ \frac{h}{x} \times log_{e}(10) } \] \bigg)[/tex]

[tex] \qquad \sf  \dashrightarrow \: \[ \dfrac{1}{x \: log_{e}(10) } \displaystyle\lim_{x\to0} \: \: \sf \bigg(\frac{ log_{e} ( \frac{ h}{x} + 1 ) }{ \frac{h}{x} } \] \bigg)[/tex]

[tex] \qquad \sf  \dashrightarrow \: \[ \dfrac{1}{x \: log_{e}(10) } [/tex]

Now, the best estimate of slope is at x = 20 :

[tex] \qquad \sf  \dashrightarrow \: \[ \dfrac{1}{20\times 2.303} [/tex]

[tex] \qquad \sf  \dashrightarrow \: \[ \dfrac{1}{46.06} [/tex]

[tex] \qquad \sf  \dashrightarrow \: \approx0.0217[/tex]

Answer:

binod

Step-by-step explanation:

binod is binod and is binod

Answer:

B. 2:1, for every two yellow fish there is one orange fish

Step-by-step explanation:

So you have 6 yellow fish and 3 orange fish.

You can divide both these values by 3 to get:

2 yellow fish: 1 orange fish

Therefore, the simplified version of the ratio is 2:1

In context this means for every 2 yellow fish there is 1 orange fish.

The answer is then B.

I hope this helps!!

- Kay

Answer:

Step-by-step explanation:

$87

Hey there!

The formula is: y₂ - y₁ / x₂ - x₁

y₂ = 22

y₁ = 21

x₂ = 6

x₁ = 5

Your equation: 22 - 21 / 6 - 5

22 - 21 = 1 ← numerator (TOP number)

6 - 5 = 1 ← denominator (BOTTOM number)

We can say that the line that passes through lines (5 , 21) (6 , 22): 1/1

(or you can simply 1 because 1 ÷ 1 gives you 1)

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer: 800 ft^2 ==> c

Step-by-step explanation:

A=Area, l=length, w=width

A=l*w

A=40*20

A=800 ft^2 ==> c

Answer:

$532

Step-by-step explanation:

19/200 * 5600/1

Cross cancellation makes this:

19/1 * 28/1

19 * 28

(19 * 20) + (19 * 8)

380 + 152

$532 in commission

Answer:

c ) 7/3

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

know that

h = 3

h × h × h

3 × 3 × 3

= 27

Answer:

9/8

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

[tex]f(x) = {3}^{x} - 2 \\ \\ plug \: x = 3 \\ \\ f(3) = {3}^{3} - 2 \\ \\ f(3) = 27 - 2 \\ \\ f(3) = 25[/tex]

Answer:

[tex]Area = 72[/tex]

Step-by-step explanation:

From the attachment, we can see that the floor has a trapezium shape with the following dimensions.

[tex]Height = 6yd[/tex]

The parallel sides (P1 and P2) are:

[tex]P_1 = 10 + 4 = 14[/tex]

[tex]P_2 = 10[/tex]

The square yard needed to cover the floor is the area of the trapezium surface and this is calculated as follows:

[tex]Area =\frac{1}{2} * (Sum\ of\ parallel\ sides) * Height[/tex]

[tex]Area =\frac{1}{2} * (P_1 + P_2) * Height[/tex]

[tex]Area = \frac{1}{2} * (10 + 14) * 6[/tex]

[tex]Area = \frac{1}{2} * (24) * 6[/tex]

[tex]Area = 12 * 6[/tex]

[tex]Area = 72[/tex]

Hence, 72 square yards is needed to cover the floor

Answer:

he will walk about 8 miles

Step-by-step explanation:

Answer:

32 pieces is the right answer

3×8=24

24×1/4

so 32

Step-by-step explanation:

please mark me as brainliest

Answer:

$10.50

Step-by-step explanation:

To find how much tax is added on to the $150 we have to multiply .07 by 150.

(150)(.07) = 10.5

Therefore, Miguel will have to pay $10.50 in tax.

I hope this helps!

- Kay :)

[tex]Q=R+Rst \\ \\ Q=R(1+st) \\ \\ \frac{Q}{R}=1+st \\ \\ \frac{Q}{R}-1=\frac{Q-R}{R}=st \\ \\ \boxed{s=\frac{Q-R}{Rt}}[/tex]

Answer:7.81

Step-by-step explanation:

7.81=0.42*0 +7.81

Answer:

$6

Step-by-step explanation:

4 loaves of bread ---- $8

1 loaf of bread ---- $8 ÷ 4 = $2

one bag of oranges --- $5 - $2 = $3

two bags of oranges --- $3 × 2 = $6

one basket of apples --- $12 - $6 = $6

The cost of a basket of apples is $6.

Answer:

total no. of people =630

let the no. of people who ordered fries be x

Then,

60%of 630=x(since 60% of them ordered fries)

60/100×630=x=378

Therefore,the no of people who ordered fries are 378.

Thankyou

Answer:

the experiment is mine is my favorite but us and I can you too I don't revel in a bit if ok to come to

Answer:

Step-by-step explanation:

1. Alternate interior angles. Inside the transversal and opposing sides

8. Set all three angles equal to 180, since they're supplementary

34+41+x = 180

180 = 75+x

105 = x

Answer:

Equation 3

Step-by-step explanation:

Answer:Equation 3

linear functions dont have exponents

Step-by-step explanation:

Complete Question:

An object dropped from rest from the top of a tall building on Planet X falls a distance d(t)=13t^2 feet in the first t seconds. Find the average rate of change of distance with respect to time as t changes from t1=2 to t2=10. This rate is known as the average velocity, or speed.

The average velocity as t changes from 2 to 10 seconds is _______ feet/sec?

Answer:

[tex]v = 156[/tex]

Step-by-step explanation:

Given

[tex]d(t)=13t^2[/tex]

Time Interval: (a,b)

[tex]a = 2[/tex]

[tex]b = 10[/tex]

Required

Determine the average rate of change (v)

This is calculated as thus:

[tex]v = \frac{d(b) - d(a)}{b - a}[/tex]

Substitute values for b and a

[tex]v = \frac{d(10) - d(2)}{10 - 2}[/tex]

[tex]v = \frac{d(10) - d(2)}{8}[/tex]

Calculate d(10): Substitute 10 for t

[tex]d(t)=13t^2[/tex]

[tex]d(10) = 13 * 10^2[/tex]

[tex]d(10) = 13 * 100[/tex]

[tex]d(10) = 1300[/tex]

Calculate d(2): Substitute 2 for t

[tex]d(t)=13t^2[/tex]

[tex]d(2) = 13 * 2^2[/tex]

[tex]d(2) = 13 * 4[/tex]

[tex]d(2) = 52[/tex]

The equation [tex]v = \frac{d(10) - d(2)}{8}[/tex] becomes

[tex]v = \frac{1300 - 52}{8}[/tex]

[tex]v = \frac{1248}{8}[/tex]

[tex]v = 156[/tex]

Hence, the average rate of change is 156ft/s

Answer:

Cost of student ticket =  $7

Cost of Adult ticket = $17

Step-by-step explanation:

Let cost of student ticket = x

Cost of Adult ticket = y

Making expressions from statements

Mrs. Levin bought 27 student tickets and 25 adult tickets, which cost a total of $614. [tex]27x+25y=614[/tex]

Mr. Lawson spent $733, getting 27 student tickets and 32 adult tickets. [tex]27x+32y=733[/tex]

Now solving these equations to find values of x and y

Let

[tex]27x+25y=614--eq(1)\\27x+32y=733--eq(2)[/tex]

Subtracting both equations

[tex]27x+25y=614\\27x+32y=733\\-\:\:\:-\:\:\:\:\:\:\:\:\:\:\:\:-\\-------\\-7y=-119\\y=\frac{-119}{-7}\\y=17[/tex]

So, we get value of y = 17

Now, finding value of x, by putting value of y in eq(1)

[tex]27x+25y=614\\Put\:y=17\\27x+25(17)=614\\27x+425=614\\27x=614-425\\27x=189\\x=\frac{189}{27}\\x=7[/tex]

So, we get value of x = 7

Cost of student ticket = x = $7

Cost of Adult ticket = y = $17

Answer:

c

Step-by-step explanation:

Answer:

25 + 14 = 39 and the fraction form can be [tex]\frac{39}{100}[/tex]

Step-by-step explanation:

You can tell if a graph represents a proportional relationship by identifying the y-intercept, or the point of the line that crosses the y-axis.

If the y-intercept is 0, then the relationship is proportional. This is called a direct relationship.

If the y-intercept is anything other than 0, then the relationship is not proportional. This is called an indirect relationship.

I hope this helps!

Given:

The circumference of the base of a cone is 10π cm.

The circumference of the base of a second similar cone is 20π.

To find:

The ratio of the surface area of the first cone to that of the second cone.

Solution:

Let the radii of base of two cones are [tex]r_1[/tex] and [tex]r_2[/tex] respectively.

Circumference of the circular base is [tex]2\pi r[/tex], where, r is radius.

We have,

[tex]2\pi r_1=10\pi\text{ cm}[/tex]

[tex]r_1=\dfrac{10\pi}{2\pi}\text{ cm}[/tex]

[tex]r_1=5\text{ cm}[/tex]

And,

[tex]2\pi r_2=20\pi\text{ cm}[/tex]

[tex]r_2=\dfrac{20\pi}{2\pi}\text{ cm}[/tex]

[tex]r_2=10\text{ cm}[/tex]

It two cons are similar, then ratio of there areas is equal to square of the ratio of there corresponding dimensions, i.e., radius or heights.

[tex]\dfrac{A_1}{A_2}=\left(\dfrac{r_1}{r_2}\right)^2[/tex]

[tex]\dfrac{A_1}{A_2}=\left(\dfrac{5}{10}\right)^2[/tex]

[tex]\dfrac{A_1}{A_2}=\left(\dfrac{1}{2}\right)^2[/tex]

[tex]\dfrac{A_1}{A_2}=\dfrac{1}{4}[/tex]

The ratio form is

[tex]V_1:V_2=1:4[/tex]

Therefore, the ratio of the surface area of the first cone to that of the second cone is 1:4.

The ratio of the surface area of first cone to that of the second cone is; 1:4

Formula for the circumference of the base of a cone is;

C = 2πr

Where;

C is circumference

r is radius

Thus;

10π = 2πr

r = 10π/2π

r = 5

20π = 2πr

r = 20π/π

r = 10

Now, formula for surface area of the base is;

A = πr²

Thus, ratio of both area of first cone to second cone is;

A1/A2 = 5²/10²

A1/A2 = 25/100

A1/A2 = 1/4

Thus, ratio of first cone to that of the second cone is; 1:4

Read more on surface area of cone at; https://brainly.com/question/6613758