A family pass to amusement park cost $54 using the distributive property write an expression that can be used to find the cost in dollars of 8 family

Answers

Answer 1
8(50+4)

I hope this helped! :))

Related Questions

Jane has a 5 × 7-inch photograph that she wants enlarged to a 10 × 14-inch photograph.

What is the scale factor from the original photograph to the enlarged photograph?

Answers

compare the 5 and 10 dimension then the 7 and 14 dimensions

10/5 =2

14/7 =2

 they both are the same ratio/factor

 the factor is 2


Answer:

2:1

Step-by-step explanation:

it asks for the scale since 5 x 2 = 10 and 7 x 2 = 14

the scale is 2 : 1


What's the answer? I need help. Thank you :)

Answers

6 3/4  divided by 3/4

= 27/4  /  3/4   = 27/4 * 4/3 = 27 /3 = $9 Answer
... Pick any column in the table.
... Divide the cost by the weight.
... The quotient is the cost per pound of nuts.
... Whichever column you choose, the answer is always the same. So pick the column with the fractions that you think will be easiest to divide.

The whole purpose of this question is to practice dividing mixed numbers and fractions. It actually has nothing to do with pecans. It could be the same table for pistachios, apples, or M & M's.

Daniel dives into a swimming pool. The height of his head is represented by the function h(t) = -8t(squared) - 28t + 60, where t is the time in seconds and h(t) is the height of his head, in inches. How many seconds will it take for Daniel's head to reach the surface of the pool?

Answers

When Daniel's head reaches the surface, h(t) = 0
Therefore:
-8t² - 28t + 60 = 0             To simplify, divide both sides by -4
2t² + 7t - 15 = 0               
Consider the trinomial ax² + bx + c
To factor by grouping, we must find two numbers that multiply to equal AC (-30) and add up to B (7)
Two numbers that satisfy this are 10 and -3:
2t² + 10t - 3t - 15 = 0        Rewrite the equation using 10t and -3t
2t (t + 5) -3 (t +5) = 0        Regroup, then rewrite
(2t -3) (t+5) = 0 

2t-3 = 0 
2t = 3
t = 3/2
OR
t + 5 = 0
t = -5

We know t cannot be a negative number, so the answer is:
t = 3/2, or 1 and a half seconds
It should take him 1.5 sec to get to the top :)

6 tractors take 10 days to collect the harvest. How long would it take 15 tractors to do the same amount of work

Answers

4 i think
bc 6/10 equals .375, then 15/ .375 is 40, divided by 10 is 4?

What is the 250th term of this sequence. Please explain. 4, 9,14,19,24

Answers

a1 = first term = 4
a2 = second term = a1+5 = 4+5 = 0
a3 = third term         a1 + 5 + 5 = a1 + 5(n-1), where n is the subscript that represents which term we're discussing.

an=4+5(n-1).

Is this correct?  Let's check it and find out.
What is your prediction for a2?  Here, n = 2.  Then a2 = 4+5(2-1), or 4+5, or 9.  That agrees with the given sequence rule.

Thus, the 250th term would be 4+5(250-1).  Evaluate this, please.

Scott puts some sports stickers in rows. He makes 6 rows with 5 stickers in each row. If he puts the same number of stickers in 5 equal rows, how many stickers would be in each row?

Answers

Scott will have 5 rows × 5 stickers =25

Answer:

6 stickers.

Step-by-step explanation:

We have been given that Scott makes 6 rows with 5 stickers in each row.

The total number of stickers in 6 rows would be:

[tex]\text{The total number of stickers}=6\times 5[/tex]

[tex]\text{The total number of stickers}=30[/tex]

Therefore, there are 30 stickers in 6 rows.

We need to find the number of stickers in 5 rows having the same number of stickers.

Since there are 30 stickers in total, so the number of stickers in each row would be 30 stickers by 5 rows.

[tex]\text{The number of stickers in each row}=\frac{30}{5}[/tex]

[tex]\text{The number of stickers in each row}=6[/tex]

Therefore, there would be 6 stickers in each row.

Delta airlines quotes a flight time of 2 hours, 5 minutes for its flights from cincinnati to tampa. suppose we believe that actual flight times are uniformly distributed between 2 hours and 2 hours, 20 minutes.what is the probability that the flight will be no more than 5 minutes late (to 2 decimals)?

Answers

The likelihood that the flight will be no more than 5 minutes late would be equal to a flight that arrives between 2 hours and 2 hours and 10 minutes.

So the answer would be:

P (5 late or less) = 10 * 1/20 = 0.5

The answer is 0.5

 

But if we are looking for the probability of the flight that would be 10 minutes late, the likelihood of that event would be 0.25.

Final answer:

The probability that a Delta airlines flight from Cincinnati to Tampa will be no more than 5 minutes late, given that the actual flight times are uniformly distributed between 2 hours and 2 hours, 20 minutes, is 0.50.

Explanation:

The question deals with the uniform distribution of flight times and calculating the probability that a flight will be no more than 5 minutes late. Assuming flight times are uniformly distributed between 2 hours (120 minutes) and 2 hours, 20 minutes (140 minutes), the total range of flight times is 20 minutes (140 minutes - 120 minutes).

Delta airlines quotes a flight time of 2 hours, 5 minutes, which is 125 minutes. Therefore, a flight being no more than 5 minutes late means the flight time would be at most 130 minutes. To find the probability that the flight time is 130 minutes or less, we calculate the proportion of the distribution that falls within this range.

The probability that the flight will be no more than 5 minutes late is the length of the interval from 120 minutes to 130 minutes divided by the total range (20 minutes), which is (130 - 120) / 20 = 10 / 20 = 0.5. Thus, the probability is 0.50 to two decimal places.

Find the value of c for which the line 3x +cy= 5 is parallel to the y axis,

Answers

we'd need a value, a coefficient, that effectively tosses away the variable "y" and leaves "x" all by her lonesome.

and our sharpest value for that, is our very good friend Mr Zero, c = 0, cy = 0y = 0.

check the picture below.

Find the point on the plane 2x+5y+z=8 that is nearest to​ (2,0,1).

Answers

Answer:

(2.2, 0.5, 1.1)

Step-by-step explanation:

The parametric equation of the line normal to the plane and through point (2, 0, 1) can be written ...

... L = (2, 0, 1) + t(2, 5, 1)

We want to find the value of t (and the corresponding point) that makes L satisfy the equation of the plane.

... 2(2+2t) +5(0 +5t) +1(1+t) = 8 . . . . . put values from L in for x, y, z in plane

... 5 + 30t = 8 . . . . . simplify

... t = (8 -5)/30 = 0.1 . . . . solve for t (subtract 5, divide by 30)

For this value of t, L is ...

... (2, 0, 1) + 0.1(2, 5, 1) = (2.2, 0.5, 1.1)

Which of the following statements must be true about a rectangle? Choose all answers that apply: Choose all answers that apply: A It has four sides of equal length. B It has four right angles. C It has two pairs of parallel opposite sides.

Answers

c
because a rectangle has not the same exact side lengths like a square

Answer:

The correct answers are options B and C.                            

Step-by-step explanation:                      

B It has four right angles.

C It has two pairs of parallel opposite sides.

All angles are right angles by definition of a rectangle. The rectangle has 2 pairs of parallel opposite sides.              

Option A is wrong as its a square whose all 4 sides have equal length.

You and your frend step into identical row-boats. you notice that your boat sinks into the water twice as far as your friends. what can you say about your friend's weight compared with yours? your friend weighs twice as much as you your friend weighs the same as you your friend weighs half as much as you your friend weighs one fourth your weight

Answers

Since you sank twice as far, that meant you've been eating a little too much ice cream, so you're twice as heavy as your friend. This can also translate as: your friend is half your weight.

The correct answer would be: "your friend weighs half as much as you"

Hope this Helps, and May the Force Be With You!

-Jabba

the line L1 has equation 2x + y = 8. The line L2 passes through the point A ( 7, 4 ) and is perpendicular to L1 . Find the equation of L2.

Answers

the formula to find linear eqution of graph is
y=mx+c
m= gradient
c= y intercept

first find what is the gradient of L1. In order to get the gradient make y the subject. thus,
2x+y=8
y=-2x+8
thus, the gradient of L1 is -2.

The question states that L2 is perpendicular to L1, thus the gradient of L2 is reciprocal to gradient of L1.
Thus, gradient of L2 will be
m= 1/2

In order for the gradient to be reciprocal, it needs to be perpendicular.
thus so far the equation of L2 is
y= 1/2x+c
Now the question states that is passes through A(7,4). Thus you need to sub in x=7 and y=4 into equation of L2 to find what is the y intercept.
4= 1/2(4)+c
c=2
thus the equation of L2 is
y=1/2x+2

Answer:   [tex]x-2y+7=0[/tex]

Step-by-step explanation:

Given : The  line[tex]L_1[/tex] has equation [tex]2x + y = 8[/tex]

In intercept form : [tex]y =-2x+8[/tex]

The slope of [tex]L_1[/tex] =-2    [in intercept form equation of line [tex]y =mx+c[/tex], m is slope ]

Let p be slope of  [tex]L_2[/tex]

We know that when two lines are perpendicular then the product of their slopes is -1.

[tex]\Rightarrow\ -2\times p=-1\\\\\Rightarrow\ p=\dfrac{1}{2}[/tex]

The equation of line having slope 'm' and passing through (a,b) is given by :-

[tex](y-b)=m(x-a)[/tex]

Then , equation of line  [tex]L_2[/tex] will be :-

[tex](y-7)=\dfrac{1}{2}(x-7)\\\\\Rightarrow\ 2y-14=x-7\\\\\Rightarrow\ x-2y+7[/tex]

A line has a slope of between the points (10,5) and (16,n).

What is the value of n?

8
2
10
16
6

Answers

You missed the value of the slope and that information is needed.

Any way, I can show you how to calculate the answer given a generic value of the slope.

Assuming that the slope values m, you can use the formula:

m = rise / run = change in y / change in x

=> m = (n - 5) / (16 - 10)

=> n - 5 = m (16 - 10)

=> n - 5 = 6m

=> n = 6m + 5

Now I am going to calculate the value of n for several values of the slope (m):

m           n = 6m + 5                   answer

1/2         n = 6(0.5) + 5 = 8          the first option

-1/2        n = 6(-0.5) + 5 = 2          the second option

5/6         n = 6(5/6) + 5 = 10         the third option

11/6        n=6(11/6) + 5 = 16         the fourth option

1/6          n = 6(1/6) + 5 = 6          the fifth option

Now you have the procedure and the answer for several values of the slope, so you do not have problems to answer this question.

Write an equation of the line that passes through (0, 5) and (−1.5, 1)

Answers

Let's solve this problem step-by-step.

STEP-BY-STEP SOLUTION:

Let's establish the formula we will be using to achieve the equation of the line.

y - y1 = m ( x - x1 )

m = gradient / slope of line

To use the previous formula, we will need to first find the gradient ( m ) using the below formula. We will be substituting the values of the points given in the problem into this formula.

m = ( y2 - y1 ) / ( x2 - x1 )

m = ( 5 - 1 ) / ( 0 - ( - 1.5 ) )

m = ( 5 - 1 ) / ( 0 + 1.5 )

m = 4 / 1.5

m = 8 / 3

Now we will substitute the value of ( m ) from above into the formula for the line. We will also be substituting the values of one of the given points into the formula. In this example, we will be using the point ( 0, 5 ).

y - y1 = m ( x - x1 )

y - 5 = ( 8 / 3 ) ( x - 0 )

y - 5 = ( 8 / 3 )x

y = ( 8 / 3 )x + 5

FINAL ANSWER:

The equation of the line is:

y = ( 8 / 3 )x + 5

Please mark as brainliest if you found this helpful! :)
Thank you and have a lovely day! <3

The equation of the line that passes through (0, 5) and (−1.5, 1) is y = 8/3 x + 5

The equation can be represented as follows:

y = mx + b

where

m = slope

b = y-intercept

lets find the slope

(0, 5)  (−1.5, 1)

m = 1 - 5 / -1.5 - 0 = - 4 / -1.5 ≈  8 / 3

we multiplied the numerator and denominator by 2

b = 5, b is the value of y when x = 0.

Therefore, the equation will be as follows:

y = 8/3 x + 5

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If total liabilities are $200,000 and total assets are $325,000, owner's equity would be: 2)
a. $525,000
b. $200,000
c. $125,000
d. impossible to determine from the given data

Answers

$125,000 The Answer is c:
$325,000-$20000 (of liabilites) thus= $125,000

Curve passes through the point (0,8)(0,8) and has the property that the slope of the curve at every point pp is four-times the y-coordinate. what is the equation of the curve

Answers

"Curve passes through the point (0,8) and has the property that the slope of the curve at every point pp is four-times the y-coordinate."

Slope of tangent line at a given point = value of derivative of function at that point.

Thus, dy/dx = derivative = 4y

Thus, dy/dx = 4y.  Rearrange this with all y on one side and all x on the other:

dy
--- = 4dx
 y

Integrating both sides, we get ln|y| = 4x + ln C, or ln|y| - ln C = 4x

                |y|
Then ln -------- =4x.  This can be written as an exponential function: 
                  C

|y|
--- = e^(4x).  Thus, |y| = C*e^(4x).  Given that this curve passes thru (0,8), 


8 = C*e^0, so C = 8.    Then the function question is y = 8e^(4x).

Stu is laying brick down to make a patio. He plans for the patio to be 12.5 feet by 18.3 feet. He orders enough brick for 247 square feet. Which statement about the amount of brick is correct?

Answers

Stu estimated correctly by rounding up. He ordered enough brick. The exact is 228.75 square feet.

Answer:

Stu estimated correctly by rounding up.

He ordered enough brick.

The exact area is [tex]228.75[/tex] square feet

Step-by-step explanation:

we know that

the area of the patio is equal to

[tex]A=bh[/tex]

In this problem we have

[tex]b=12.5\ ft, h=18.3\ ft[/tex]

substitute in the formula

[tex]A=12.5*18.3=228.75\ ft^{2}[/tex]

[tex]228.75\ ft^{2}< 247\ ft^{2}[/tex]

Julianna works 32 hours each week. She earns $14.15 an hour. Which is closest to the amount of money Julianna will earn if she works for 46 weeks.(Please show work?)

A) $16,800
B) $18,000
C) $21,000
D) $22,500

Answers

32 hours * 46 weeks = 1,472 hours
1,472 * $14.15 = 20,828.8

Answer C is your answer
Final answer:

Julianna will earn $22,579.20 if she works for 46 weeks, which is closest to the option D) $22,500.

Explanation:

To calculate the amount of money Julianna will earn if she works for 46 weeks, we need to multiply the number of work hours per week (32) by the hourly wage ($14.15), and then multiply that result by the number of weeks worked (46). This can be calculated as follows:

Total earnings = (32 hours/week) × ($14.15/hour) × (46 weeks)

Total earnings = $22,579.20

Therefore, the closest amount of money Julianna will earn if she works for 46 weeks is $22,579.20, which is closest to option D) $22,500.

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x3-27i=0 solve for the root equation

Answers

Okay this should be simple...I remeber learning about this in class I just hope I did it right.

Add 27i to both sides

x * 3 - 27i + 27i = 0 + 27i

Then simplify

The form x * 3 = 27i

Divide both sides by 3

x * 3       27i
____ =  ____
  3           3

And now simplify to get your final answer

x = 9i
[tex]\bf x^3-27i\qquad \boxed{27=3^3}\qquad x^3=27i\implies x=\sqrt[3]{27i}\implies x=\sqrt[3]{3^3i} \\\\\\ x=3\sqrt[3]{i}[/tex]

. Hot dogs come in packs of 8. Hot dog rolls come in packs of 12. What is the least number of packs of each Shawn should buy to have enough to serve 24 people and have none left over?

Answers

He should have at least 3 hot dog packs and 2 hot dog roll packs.
Because you know how many he should end up with of each its actually quite simple.
basically it simplifies down to 12x=24 and 8x=24
which means he should buy 2 packs of hot dog rolls and 3 packs of hot dogs

A vendor sold 72 hotdogs and hamburgers during a football game if the ratio of hotdogs to hamburgers sold was 8:1 how many of each food did vendor sell?

Answers

[tex]\bf \cfrac{hotdogs}{hamburgers}\qquad 8:1\qquad \cfrac{8}{1}\qquad \cfrac{8\cdot \frac{72}{8+1}}{1\cdot \frac{72}{8+1}}\implies \cfrac{8\cdot 8}{1\cdot 8}\implies \cfrac{64}{8}[/tex]

Find the work done by the force field f(x, y, z) = y + z, x + z, x + y on a particle that moves along the line segment from (1, 0, 0) to (5, 3, 2).

Answers

Note that the vector field is irrotational, since

[tex]\nabla\times\mathbf f(x,y,z)=\mathbf 0[/tex]

which means [tex]\mathbf f[/tex] is conservative. This means there is some scalar potential function [tex]f(x,y,z)[/tex] such that [tex]\nabla f(x,y,z)=\mathbf f(x,y,z)[/tex]. If we can find such a function, then we only need to evaluate the difference of [tex]f(5,3,2)[/tex] and [tex]f(1,0,0)[/tex] (because the gradient theorem holds in this case).

We're looking for a function [tex]f(x,y,z)[/tex] that satisfies

[tex]\dfrac{\partial f}{\partial x}=y+z[/tex]
[tex]\dfrac{\partial f}{\partial y}=x+z[/tex]
[tex]\dfrac{\partial f}{\partial z}=x+y[/tex]

Integrate the first equation with respect to [tex]x[/tex] to get

[tex]f(x,y,z)=xy+xz+g(y,z)[/tex]

Differentiate with respect to [tex]y[/tex], then we must have

[tex]\dfrac{\partial f}{\partial y}=x+z=x+\dfrac{\partial g}{\partial y}[/tex]
[tex]\implies\dfrac{\partial g}{\partial y}=z[/tex]
[tex]\implies g(y,z)=yz+h(z)[/tex]
[tex]\implies f(x,y,z)=xy+xz+yz+h(z)[/tex]

Differentiate with respect to [tex]z[/tex], and we have to have

[tex]\dfrac{\partial f}{\partial z}=x+y=x+y+\dfrac{\mathrm dh}{\mathrm dz}[/tex]
[tex]\implies\dfrac{\mathrm dh}{\mathrm dz}=0[/tex]
[tex]\implies h(z)=C[/tex]
[tex]\implies f(x,y,z)=xy+xz+yz+C[/tex]

Now, by the gradient theorem, we have

[tex]\text{work}=\displaystyle\int_{\mathcal C}\mathbf f\cdot\mathrm d\mathbf r=f(5,3,2)-f(1,0,0)=31[/tex]

where [tex]\mathcal C[/tex] is the line segment.

Final Answer:

Word done = 31 units

Explanation:

To find the work done by a force field [tex]$\mathbf{F}(x, y, z)$[/tex] on a particle moving along a path, we can use the line integral of the force field along that path.

First, we need to define the force field [tex]$\mathbf{F}(x, y, z)$[/tex] and the parametric equations for the line segment.

Given the force field

[tex]$$\mathbf{F}(x, y, z) = \langle y + z, x + z, x + y \rangle,$$[/tex]
we have the following components:

[tex]F_x &= y + z, \\\\F_y &= x + z, \\\\F_z &= x + y.[/tex]

Now, let's find the parametrization of the line segment from the point (1,0,0) to the point (5,3,2). We can define a vector [tex]$\mathbf{r}(t)$[/tex] that describes this line segment by

[tex]$$\mathbf{r}(t) = \mathbf{r_0} + t(\mathbf{r_1} - \mathbf{r_0}),$$[/tex]


where [tex]$\mathbf{r_0} = \langle 1, 0, 0 \rangle$[/tex] is the starting point, [tex]$\mathbf{r_1} = \langle 5, 3, 2 \rangle$[/tex] is the ending point, and t is a parameter that goes from 0 to 1.

So we have

[tex]\mathbf{r}(t) &= \langle 1, 0, 0 \rangle + t(\langle 5, 3, 2 \rangle - \langle 1, 0, 0 \rangle) \\\\ &= \langle 1, 0, 0 \rangle + t\langle 4, 3, 2 \rangle \\\\ &= \langle 1 + 4t, 3t, 2t \rangle.[/tex]

From the parametric equation, we have the components:

[tex]x(t) &= 1 + 4t, \\\\y(t) &= 3t, \\\\z(t) &= 2t.[/tex]

The line integral of the force field along the path can be computed by

[tex]$$W = \int_C \mathbf{F} \cdot d\mathbf{r},$$[/tex]

where [tex]$d\mathbf{r}$[/tex] is the differential element along the path C, and the dot product represents the scalar product of the force field and the differential path element.

We can express [tex]$d\mathbf{r}$[/tex] in terms of t as

[tex]$$d\mathbf{r} = \mathbf{r}'(t) dt = \langle \frac{dx}{dt}, \frac{dy}{dt}, \frac{dz}{dt} \rangle dt = \langle 4, 3, 2 \rangle dt.$$[/tex]


Then the work done is

[tex]W &= \int_{t=0}^{t=1} \mathbf{F}(x(t), y(t), z(t)) \cdot \mathbf{r}'(t) dt \\\\ &= \int_{0}^{1} \langle 3t + 2t, 1 + 4t + 2t, 1 + 4t + 3t \rangle \cdot \langle 4, 3, 2 \rangle dt \\\\ &= \int_{0}^{1} [(5t)(4) + (6t + 1)(3) + (7t + 1)(2)] dt \\\\ &= \int_{0}^{1} [20t + 18t + 3 + 14t + 2] dt \\\\ &= \int_{0}^{1} [52t + 5] dt \\\\ &= [26t^2 + 5t]_{0}^{1} \\\\ &= 26(1)^2 + 5(1) - (26(0)^2 + 5(0)) \\\\ &= 26 + 5 \\\\ &= 31.[/tex]


So, the work done by the force field [tex]$\mathbf{F}(x, y, z)$[/tex] on the particle as it moves along the line segment from (1, 0, 0) to (5, 3, 2) is 31 units of work.

the sum of three consecutive integers if the last integer is z.
a.) 3z+3
b.) 3z+6
c.)3z-3
d.)3z

Answers

The last integer is z, then the other two are z-1 and z-2.
The sum is therefore
(z-2)+(z-1)+z=3z-3.
Final answer:

The sum of three consecutive integers where the last integer is z is 3z - 3.

Explanation:

The sum of three consecutive integers can be derived using the concept of arithmetic series. For instance, if z represents the last of the three consecutive integers, we know that the numerals preceding it are z-1 and z-2. Hence, the sum of these three integers would be (z-2) + (z-1) + z.

Simplifying this, we get 3z - 3 which corresponds to option c.)3z-3 in the question's list.

Remember, an important aspect of sequences and series is that the numbers are arranged in a specific order.

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Sam opened a savings account with an initial deposit of $2,000. Since then, he has never made any other deposits or withdrawals. His savings account earns 0.4% interest monthly and an annual bonus of 1.5% interest. Which equation gives the approximate amount, A(x), he has in his savings account as a function of x, the number of years since his initial deposit?


A(x) ≈ 2,000 + (1.059)x3

A(x) ≈ 2,000(1.019)x2

A(x) ≈ 2,000(1.065)x

A(x) ≈ 2,000(1.059)x2

Answers

Answer:

Third option:

[tex]A(x)\approx 2,000(1.065)^x[/tex]

Step-by-step explanation:

Notice if we invest 2,000 then the first month then after the first 0.4% interest is earned we will have in the account:

2,000(1+0.004) = 2,000(1.004)

I just applied the simple interest formula.

Then after the second month we will have:

[tex]2,000(1.004)(1.004) = 2,000(1.004)^2[/tex]

And so on each month.

So at the end of the first year (12 months) we have:

[tex]2,000(1.004)^{12}[/tex]

But we also earn an additional 1.5% in the year, so we will have:

[tex]2,000(1.004)^{12}(1.015)[/tex]

At the end of the second year we will have:

[tex]2,000[(1.004)^{12}(1.015)]^2[/tex]

At the end of the third year:

[tex]2,000[(1.004)^{12}(1.015)]^2[/tex]

And so on,

So if the number of years is denoted with x, at the end of x years we will have the following amount in the savings:

[tex]2,000[(1.004)^{12}(1.015)]^x[/tex]

We use our calculator to simplify that inside the brackets:

[tex](1.004)^{12}(1.015)=1.06481[/tex]

Rounding  to the third decimal place we get: 1.065

So notice the amount in the savings after x years will be:

[tex]2,000(1.065)^x[/tex]

Since they want it in function notation we just write the A(x) that denotes the amount in the savings:

[tex]A(x)\approx 2,000(1.065)^x[/tex]

Veronique and Lily compare their investment accounts to see how much they will have in the accounts after seven years. They substitute their values shown below into the compound interest formula. Compound Interest Accounts Name Principal Interest Rate Number of Years Compounded Veronique $1,000 5% 7 Once a year Lily $1,800 9% 7 Once a year mc017-1.jpg Which pair of equations would correctly calculate their compound interests? Veronique: mc017-2.jpg, Lily: mc017-3.jpg Veronique: mc017-4.jpg, Lily: mc017-5.jpg Veronique: mc017-6.jpg, Lily: mc017-7.jpg

Answers

Answer:

A

Step-by-step explanation:

The pair of equations that would correctly calculate their compound interests are:

Veronique's interest = A = 1000(1 + 0.05/1)⁷ - 1000 = 407.10

Lily's interest = 1800(1 + 0.09/1)⁷ - 1800 = 1,490.47.

What is the compound interest rate?

Compound interest is computed as interest on the principle of an account plus any accrued interest.

Compound interest can be calculated using the following formula:

x = P (1+r/n)^(nt)

,where x = compound interest

P = principal (the initial deposit or loan amount)

r = annual interest rate

n = the number of compounding periods per unit of time

t = the number of time units the money is invested or borrowed for

For Veronique, we have:

A = 1000(1 + 0.05/1)⁷ = $1,407.10

For Lily, we have:

A = 1800(1 + 0.09/1)⁷ = $3290.47

To calculate the compound interest for each account, we subtract the principal amount from the final amount:

For Veronique:

Interest = A - P = $1,407.10 - $1,000 = $407.10

For Lily:

Interest = A - P = $3,290.47 - $1,800 = $1,490.47

Therefore, the pair of equations that would correctly calculate their compound interests are:

Veronique's interest = A = 1000(1 + 0.05/1)⁷ - 1000 = 407.10

Lily's interest = 1800(1 + 0.09/1)⁷ - 1800 = 1,490.47.

To learn more about the compound interest rate;

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Suppose investment of $6200 doubles in value every 13 years how much is the ivestment worth after 78 years

Answers

78/13=6 times
The investment will be doubled 6 times over 78 years
So the investment worth

A=6,200×2^(6)=396,800

Hope it helps!

Michael did 45 pushups in 3 minutes. Michelle did 36 pushups in 2 minutes.Who did pushups at a faster rate? How much faster was that person? Answer with supporting work.

Answers

Micheal did more push ups
Micheal: 45/3 equals 15 push ups per minute
Michelle: 36/2 equals 18 push ups per minute

Find the volume of a sphere with a diameter 40 cm in length. Approximate pi as 3.14 and round your answer to the nearest tenth.

Answers

volume of a sphere : V = 4/3 * pi * r^3......and the radius (r) is half the diameter....so ur radius is (40/2) = 20
now lets sub
V = 4/3 * 3.14 * 20^3
V = 4/3 * 3.14 * 8000
V = 32,000/3 * 3.14
V = 100480/3
V = 33493.3 cm^3 <===

Harry worked seven hours last week this is 1/3 as many hours as Aiden worked how many hours did Aidan work

Answers

7 hours is 1/3 of what?
Multiply 7 by 3.
7 * 3 = 21
Answer: 21 hours.
The answer would be 21 hours. Aiden worked 21 hours.

Pretty much, if 7 is 1/3 of how many hours Aiden worked, then all you do is multiply 7 by 3.

Hope that helps!

What is the volume of a sugar cube that measure 1cm on each side? what is the cross-sectional area of the cube? the total surface area?

Answers

These are important and common formulas; better learn them!

The volume of a cube of side length x is x^3.
The cross-sectional area is x^2.
The total surface area is A = 6x^2.
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