Brian opened a bank account that compounded continuously. The amount, y, in Brian's account can be modeled by this equation.
y=nekt
Where n is the initial amount deposited,
t is the time in years, and
k is the growth constant.
Brian deposited $500 initially and did not make any more deposits or withdrawals. After 8 years, Brian's account has a balance of $625.
What is the value of k?
O A k =
In(.8)
8
O c. k=
In(500)
5000
O B. k=
In(625)
4000
O D. k=
In(1.25)
8

Answer:no, The lines are skew

Step-by-step explanation:

I took the test

Answer:

Part A: Kimberly

Part B:

Becca = 22.5 miles, Kimberly = 25 miles

Step-by-step explanation:

Part A:

Given that Becca runs at a constant speed of 4.5 miles per hour, use the table to find the constant speed that Kimberly runs, and compare who runs faster.

Let x = time

y = distance

k = speed = y/x

Equation for each person can be written as: y = kx

Therefore:

✔️Equation for Becca if k = 4.5

y = 4.5x

✔️Find k (speed) of Kimberly using (2, 10):

Speed (k) = y/x

k = 10/2

k = 5 miles per hour

Equation for Kimberly would be:

y = 5x

Comparing their speed, Kimberly runs faster because she covers more miles per hour than Becca does.

Part B:

For Becca, substitute x = 5 into Becca's equation, y = 4.5x

Thus:

y = 4.5*5 = 22.5 miles

For Kimberly, substitute x = 5 into Kimberly's equation, y = 5x

Thus:

y = 5*5 = 25 miles

Answer:

AB = 97

Step-by-step explanation:

AB is half of mABD.

Answer:

4/6

Step-by-step explanation:

(1/6 times 4)make 4 into a fraction and that is 4/1  multyply the numerator and denominator 6x1=6 so 6 is the denominator and 4x1 is 4 so 4 is the numerator so its 4/6

The expression that represents the fraction is 1/6 * 1/4 or 1/24

The given parameters are:

Amount of candy = 1/6 pounds

Number of bags = 4

The expression that represents the amount in each bag is:

Amount = Amount of candy/Number of bags

This give

Amount = 1/6 / 4

Express as product

Amount = 1/6 * 1/4

Evaluate

Amount = 1/24

Hence, the expression that represents the fraction is 1/6 * 1/4 or 1/24

Read more about fractions at:

https://brainly.com/question/11562149

#SPJ6

Answer:

6 is the median

Step-by-step explanation:

The median is the same as the number in the middle, and the number in the middle is 6.

Answer:

My answer is 20ft I'm not really sure but hope this helps

Answer:

So first plot the points then move it the way ( x-3, y-4)

remember for the x axis you slide left to right and we know that left is negative so you would go left 3 times and for y you would go down 4 times do it for each point.

Answer:

33.49 mm³

Step-by-step explanation:

The formula of volume of sphere

[tex] = \frac{4}{3} \pi {r}^{3} [/tex]

The volume of the sphere

[tex] = \frac{4}{3} \times 3.14 \times {2}^{3} [/tex]

[tex] = \frac{100.48}{3} [/tex]

[tex] = 33.4933333...[/tex]

= 33.49 mm³ (rounded to the nearest hundredth)

Answer:

v1 t = distance Bob travels  

v2 t + 20 = distance opponent travels

v1 t  = v2 t + 20

t = 20 / (v1 - v2) = 20 / (8 - 6) = 10 sec

In 10 sec Bob runs 80 m

In 10 sec opponent runs 20 + 60 m = 80 m

I thinks it's the last one

hope this helps

Answer:

Step-by-step explanation:

Their rate when working together:

Correct choice is B

Answer:

3.875

Step-by-step explanation:

Answer:

X= 110/7 or 15.7 or rounded to 16

Answer:

x=15.714285

Step-by-step explanation:

-0.35x=-3-2.5

-0.35x=-5.5

-0.35/-0.35= -5.5/0.35

X=-5.5/-0.35

X=15.714285

Answer:

1/2

Step-by-step explanation:

Probability of snowing on both Sunday and Monday= probability that it will snow on Sunday × probability that it will snow on Monday.

(and usually means multiply the probabilities while or implies addition of the probabilities).

Let probability of snowing on Monday be P

Hence 3/10=3/5× P

Hence P=(3/10) divided by (3/5) = 1/2

Answer:

$110

Step-by-step explanation:

The first step would be to multiply 11 and 5 to get the result of 55.

Then, you would multiply 55 by whatever the cost per square yard is, which in this case is $2.

Finally after multiplying 55 and 2 you would get the answer of $110.

Hope this helped! Have a great day! :)

14.87

Step-by-step explanation:

use the Pythagorean theorem

a^2+b^2=c^2

C being the longest side of the triangle

14^2+5^2=C^2

196+25=C^2

221=C^

find the square root of 221

C=14.866

rounded to nearest tenth

C=14.87

Answer:

15

Step-by-step explanation:

5^2 +14^2=C^2

25+196=C^2

221=C^2

√221=√C^2

14.86=C

appr 15 =C

Answer:

153

Step-by-step explanation:

k(9)=2×9^2-3/9

k(9)= 2×81-9

k(9)=153

Given:

The table of values of an exponential function.

To find:

The missing values in the exponential function.

Solution:

The general exponential function is defined as:

[tex]y=a(b)^x[/tex]              ...(i)

Where, a is the initial value and b is the growth factor.

First point from the given table is (1,10). It means, the equation (i) must be true for (1,10).

[tex]10=a(b)^1[/tex]             ...(ii)

Second point from the given table is (2,20). It means, the equation (i) must be true for (2,20).

[tex]20=a(b)^2[/tex]             ...(iii)

Dividing (iii) by (ii), we get

[tex]\dfrac{20}{10}=\dfrac{a(b)^2}{ab}[/tex]

[tex]2=b[/tex]

Putting [tex]b=2[/tex] in (ii), we get

[tex]10=a(2)^1[/tex]

[tex]\dfrac{10}{2}=a[/tex]

[tex]5=a[/tex]

Putting [tex]a=5,b=2[/tex] in (i), we get

[tex]y=5(2)^x[/tex]

The required exponential function for the given table of values is [tex]y=5(2)^x[/tex]. So, the missing values are 2 and x, where 2 is in the base and x is in the power.

Mason needs 9 more seed packets to have a total of 20 plants in his yard.

Simplified:

20-11=9

Answer:

C is a rational function

Answer:

last one, 4th

i really hope it helps.

Answer:

First, compute the z-score:

z = (x-μ)/σ = (650-500)/100 = 150/100 = 1.5

Now look up the percentile for z = 1.5 on a z-score table (http://www.z-table.com/).  The percentile, p(z=1.5), is the percent of people who scored 650 or less.  The percent who scored more than 650 is 1-p(z=1.5).  Multiply that by the 1200 students to get the number who scored more than 650.  Round to the nearest whole number (because you can't have a fraction of a person).

For the given data the value of the z score will be 1.5

It is referred to as a measure of data dispersal since it provides information on how widely the data is dispersed.

[tex]\rm \sigma = \sqrt{\dfrac{ \sum (x_i-X)}{n}[/tex]

σ stands for the standard deviation

x  is the value from the data set

X is the data set mean

n is the number of observations

It is given that, On a standardized exam, the scores are normally distributed with a mean of 200 and a standard deviation of 50.

The Z-score of a person who scored 140 on the exam is as,

z = (x-μ)/σ

z = (650-500)/100

z  = 150/100

z  = 1.5

Thus, the value of the z score will be 1.5

Learn more about the standard deviation here:

brainly.com/question/12402189

#SPJ2

Answer:

the x value is 2

because the triangles are similar

i think

The value of x, that is chord CD is 2 cm.

We need to find the value of x.

Equal chords of a circle subtend equal angles at the centre. The converse of the theorem is if two chords subtend equal angles at the centre, they are equal.

In the given diagram chord AB and chord CD subtend the equal angles which are 30°. Therefore, AB=CD=2 cm.

Hence, the value of x, that is chord CD is 2 cm.

To learn more about circle theorems visit:

https://brainly.com/question/19906255.

#SPJ2

Answer:

X=-4

Step-by-step explanation:

If you are finding x,

set these two functions equal to each other

3/2x+3=-3

3/2x=-6

x=-4

Answer:

(0, 4) (-4, 3) (-4, 4)

Step-by-step explanation:

Translation rules:

Units UP - Add to the y-coordinate.

Units DOWN - Subtract from the y-coordinate.

Units RIGHT - Add to the x-coordinate.

Units LEFT - Subtract from the x-coordinate.

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

In this case, the word problem is asking for the points after a translation of 3 units up.

(x, y+3)

(0,1) → (0,4)

(4,0) → (4,3)

(4,1) → (4,4)

--------------------------------------------------------------------------------------------------------------Now it's time to reflect the new points over the y-axis.

When reflecting over the y-axis, the y-coordinate remains the same, but the x-coordinate becomes the opposite value. (-x, y)

(0,4) → (0,4)

(4,3) → (-4,3)

(4,4) → (-4,4)

Answer:

find the cubic root of the number given

Answer:

I think its B.

Step-by-step explanation:

Answer:

I dont know

Step-by-step explanation:

im trying to get brainly points lol

Answer:

The Miriam is 1,2,2,2,3,5,5,10

Step-by-step explanation:

Answer:

2.5

Step-by-step explanation:

arrange the numbers in assending order.