Tamika was out at a restaurant for dinner when the bill came. She wanted to leave a tip of 29%. What number should she multiply the cost of the meal by to find the total plus tip in one step?

The total amount money after thirteen years of savings will be $5030.63

To calculate the amount of money in the account today, we need to calculate the future value of each contribution separately and then add them together.

Let's start by calculating the future value of the initial deposit of $2400 over the first five years at an interest rate of 8% compounded annually.

Using the formula for compound interest:

Future Value = \(Principal\) * \((1 + Interest Rate)^{Time}\)

Future Value = $2400 * (1 + 0.08)⁽⁵⁾

Future Value = $2400 * (1.08)⁵

Future Value = $2400 * 1.46933

Future Value = $3526.40

So, after five years, the initial deposit will grow to $3526.40.

Now, let's calculate the future value of the additional deposit of $1000 over the last eight years at an interest rate of 5.5% compounded annually.

Future Value = $1000 * (1 + 0.055)⁸

Future Value = $1000 * (1.055)⁸

Future Value = $1000 * 1.50423

Future Value = $1504.23

So, after eight years, the additional deposit will grow to $1504.23.

Now, let's add the two amounts together to find the total amount in the account today:

Total Amount = $3526.40 + $1504.23

Total Amount = $5030.63

So, the total amount money after thirteen years of saving will be $5030.63

Learn more about Interest Rate:

https://brainly.com/question/29451175

#SPJ4

Complete question:

Thirteen years ago, you deposited $2400 into a superannuation fund. Eight years ago, you added an additional $1000 to this account. You earned 8%, compounded annually, for the first five years, and 5.5%, compounded annually, for the last eight years. How much money do you have in your account today?

Answer:

Four sections (or called quadrants)are marked in Roman numerals I, II, III, IV

Hope it helps.

Answer:

D. None of the Above

Step-by-step explanation:

They don't relate whatsoever

Answer:

blank #1 is $588.00

blank #2 is approximately 870 bananas

To solve this problem, we will use the following formula for determining the area of a sector:

where r is the radius of the circle, and θ is the central angle in degrees.

Substituting r= 20 cm, and θ=30 in the above formula, we get:

Simplifying, we get:

Answer:

Answer:

d

Step-by-step explanation:

The vertices of image A'B'C' after dilation with a scale factor of 2 about the origin are , A' (6, -2), B' (4,2), and C' (10, 6).

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

ABC has vertices A (3, -1), B (2, 1), and C(5, 3).

Now, After dilation with a scale factor of 2 about the origin the vertices of A', B' and C' are,

A' = 2 × (3, - 1)

   = (6, - 2)

B' = 2 × (2, 1)

   = (4, 2)

C' = 2 × (5, 3)

    = (10, 6)

Learn more about the multiplication visit:

https://brainly.com/question/10873737

#SPJ2

Answer:

b<3

Step-by-step explanation:

Answer: 3

≤

x

Explanation:

In mathematical terms "is less than or equal to" is written as:  

≤

.

So we can write 3 is less than or equal to x as:

3

≤

x

I hope this helps

Answer:

8

Step-by-step explanation:

Answer:

46

Step-by-step explanation:

length x width x height

7 x 5 x 3

Answer: surface area = 142

Volume = 105

* make sure to add labels (units^2, etc.)

Step-by-step explanation:

Area = length x height

Volume = length x width x height

Answer:

MARK ME BRAINLIEST

Darren needs $8,976 to buy 8 cellos.

Step-by-step explanation:

If one Cello is $1,122 and he needs to buy 8, you would need to multiply $1,122 x 8.

1,122 x 8 = 8,976 which is how I got my answer.

Answer:

\( \frac{13}{30} \)

Step-by-step explanation:

Reduce the fractions to having a common denominator (find the L.C.M. of 10 and 3).

\( \frac{1}{10} + \frac{1}{3} \)

\( = \frac{1 \times 3}{10 \times3} + \frac{1 \times 10}{3 \times 10} \)

\( = \frac{3}{30} + \frac{10}{30} \)

\( = \frac{13}{30} \)

The correct option is C, The given graph represents the rational function   \(\frac{1}{(x-1)(x-2)}\).

Mathematicians use graphs to variable logically depict or chart sentences or values in a visual way. Usually, a graph point shows the connection between two or more objects. A graph is a particular kind of non-linear side chain up of parts known as nodes as well as lines. The borders, also referred to as nodes, should be joined together with glue. The node numbers in this graph are 1, 2, 3, and 5.

Upon solving the given function,

\(\frac{1}{(x-1)(x-2)}\),

As, it is clear from the function that the value of x cannot be 1 or 2,

So,

The graph doesn't lie on x = 1 or x = 2.

So, it is the correct option.

To know more about graphs visit:

brainly.com/question/11950136

#SPJ1

Answer:

sqrt( 58 )

Step-by-step explanation:

Use a^2+b^2=c^2

Answer: 12

Step-by-step explanation:

72/36= 2

36-24=12

24-18=6

2x6=12

6x2=12

Answer:

9x7ym+b=83

Step-by-step explanation:

Answer:

29. A 30. C 31. C

Step-by-step explanation:

2/5+1/4+1/6=49/60

60-49=11 >>> 11/60

176/2pi = 28.0

3.89 - hundredths place but not so sure because if you round you get 3.90 so either D or C

x = number of hours

want to find probability (P) x >= 13

x is N(14,1) transform to N(0,1) using z = (x - mean) / standard deviation so can look up probability using standard normal probability table.

P(x >= 13) = P( z > (13 - 14)/1) = P(z > -1) = 1 - P(z < -1) = 1 - 0.1587 = 0.8413

To convert that to percentage, multiply 100, to get 84.13%

The lower quartile is 2, the median is 5 and the upper quartile is 8.

What are quartiles?

The values that divide a list of numerical data into three quarters are known as quartiles.

We are given a data set as 1, 2, 3, 5, 5, 8, 8

From this, we get the median as 5 as median is the middle number of the data set.

We know that lower quartile is the median of the lower half of the data.

So, lower quartile is 2.

Upper quartile is the median of the upper half of the data.

So, upper quartile is 8.

Hence, the lower quartile is 2, the median is 5 and the upper quartile is 8.

Learn more about quartiles from the given link

https://brainly.com/question/28169373

#SPJ1

Answer:

The answer is x=4 or x=−10

Solutions:

(x + 3)² = 49

(x+3)(x+3)=49

x²+6x+9=49

x²+6x+9-49=0

(x-4)(x+10)

x-4=0 x+10=0

x=4 x=-10

Answer:

The side lengths are 8 inches and 10 inches.

Step-by-step explanation:

Let l be the length and w be the width. w = l - 2.

We then have:

\(l(l - 2) = 80\)

\( {l}^{2} - 2l = 80\)

\( {l}^{2} - 2l - 80 = 0\)

\((l - 10)(l + 8) = 0\)

\(l = 10\)

\(w = l - 2 = 10 - 2 = 8\)

let's recall that two tangent lines to the same circle meeting outside it, will have the same length, so all those pair of tangent lines are equal in length.

Check the picture below.

the mean of the sampling distribution is 0.20, and the standard deviation is approximately 0.0253.

To calculate the mean and standard deviation of the sampling distribution, we need to use the following formulas:

Mean of the Sampling Distribution (μ):

μ = p

Standard Deviation of the Sampling Distribution (σ):

σ = √[(p(1 - p)) / n]

where p is the probability of an event (in this case, the probability of a tree being killed), and n is the sample size.

Given that the chemical kills 20% of sycamore trees, we have p = 0.20. The sample size is 250, so n = 250.

Now let's calculate the mean and standard deviation:

Mean of the Sampling Distribution:

μ = p = 0.20

Standard Deviation of the Sampling Distribution:

σ = √[(p(1 - p)) / n]

  = √[(0.20(1 - 0.20)) / 250]

  = √[(0.16) / 250]

  ≈ √[0.00064]

  ≈ 0.0253

To know more about probability visit:

brainly.com/question/31828911

#SPJ11

To calculate the number of ways to select 2 non-adjacent students, we can use recurrence relations for both linear and circular arrangements. For the linear arrangement, the recurrence relation is determined by considering two cases: selecting the first student and not selecting the first student. For the circular arrangement, we introduce an additional student to simplify the problem and derive a recurrence relation based on whether the additional student is selected or not.

(a) For the linear arrangement, let's consider the number of ways to select 2 non-adjacent students in a row of n students. We can define a recurrence relation as follows:
Let C(n) represent the number of ways to select 2 non-adjacent students in a row of n students.
If the first student is selected, then the second student cannot be selected, so we are left with n-2 remaining students. The number of ways to select 2 non-adjacent students in this case is C(n-2).
If the first student is not selected, then we have n-1 remaining students. The number of ways to select 2 non-adjacent students in this case is C(n-1).
Therefore, the recurrence relation for the linear arrangement is:
C(n) = C(n-1) + C(n-2)
(b) For the circular arrangement, we introduce an additional student to simplify the problem. Let's consider a circle of n+1 students (n original students and 1 additional student). We want to select 2 non-adjacent students in this circle. We can define a recurrence relation as follows:
Let D(n) represent the number of ways to select 2 non-adjacent students in a circle of n+1 students.
If the additional student is selected, then the two non-adjacent students must be selected from the remaining n students. The number of ways to select 2 non-adjacent students in this case is C(n).
If the additional student is not selected, then we are left with n students. The number of ways to select 2 non-adjacent students in this case is D(n-1).
Therefore, the recurrence relation for the circular arrangement is:
D(n) = C(n) + D(n-1)
By applying the recurrence relations, we can calculate the number of ways to select 2 non-adjacent students for both linear and circular arrangements.

Learn more about circular arrangements here
https://brainly.com/question/32597670

 #SPJ11