Answer:The answer is C.
Step-by-step explanation:
What is 13 to the second power
Answer:
169
Step-by-step explanation:
13² is equal to 13 × 13.
13 × 13 = 169
Answer:
169
Step-by-step explanation:
13 x 13 = 169
at the beginning of a population study, a city had people. each year since, the population has grown by . let be the number of years since start of the study. let be the city's population. write an exponential function showing the relationship between and .
The exponential function that shows the relationship between the city's population y and the number of years t since the start of the study is \(y = 390000 * (1.073)^t\)
Population tends to change with time. It might increase or decrease. Let y be the city's population after t years since the start of the study, and let \(Po\) be the initial population at the start of the study. We can use the formula for exponential growth to represent the relationship between y and t:
Final population = Initial population x (growth rate)^years
\(y = Po*(1+0.073)^t\)
\(y = Po* (1.073)^{(t)\)
Substituting the values in the above equation we get the following equation:
\(y = 390,000*(1.073)^t\)
The above function when represented in exponential form will be equal to \(y=390,000*(e)^{(0.073t)\)
Learn more about Exponential function at:
brainly.com/question/2456547
#SPJ4
Refer to complete question below:
At the beginning of a population study, a city had 390,000 people. Each year since, the population has grown by 7.3% . Let t be the number of years since start of the study. Let y be the city's population. Write an exponential function showing the relationship between y and t .
The is Problem Solving. All the answers are expressed at 2 digits after decimal point. All the calculation steps MUST be clearly demonstrated in order to receive the full or partial credits. On January 1 , the total rearket value of the Tysseland Company was $80 million. During the year, the company plant to raise and invest $10 million in new projects. The firm's present market value capital structure, here bolow, is considered to be optimal. There is no short-term debt. New bonds will have a 7% coupon rate, and they will be sold at par, The stockholders' required rate of retum is estimated to be 12%. The marginal tax rate is 25%. In order fo maintain the presen capital structure, how much of the new investment must be financed by common equity? Assuming there is sufficient cash flow for Tysseland to maintain ifs target capifal sfrucftare without issuing additional shares of equity, what is its WACC?
To maintain the current capital structure, $6.67 million of the new investment must be financed by common equity.The total market value of Tysseland Company is $80 million, and the new investment is $10 million.
To maintain the capital structure, we need to find the portion financed by common equity. First, calculate the portion financed by debt:
Debt portion = Total market value - Common equity portion
Debt portion = $80 million - Common equity portion
Next, calculate the coupon payment on new bonds:
Coupon payment = New investment * Coupon rate
Coupon payment = $10 million * 7%
= $0.7 million
Since the new bonds are sold at par, the debt portion financed by new bonds is equal to the coupon payment:
Debt portion financed by new bonds = $0.7 million
Now, we can set up an equation to find the common equity portion:
$80 million - Common equity portion = $0.7 million
Common equity portion = $80 million - $0.7 million
= $79.3 million
Finally, subtract the existing common equity from the common equity portion to find the portion financed by common equity:
Portion financed by common equity = Common equity portion - Existing common equity
Portion financed by common equity = $79.3 million - $80 million = -$0.7 million .To maintain the current capital structure, $6.67 million of the new investment must be financed by common equity. The WACC cannot be determined without information on the cost of equity and the cost of debt.
To know more about investment visit:
https://brainly.com/question/15105766
#SPJ11
You bought concert tickets that cost $315. The sales tax rate is 8%.
How much tax will you pay?_________ What is the total amount?___________
pls help me out
How much tax will you pay? You will pay $25.20 worth of tax.
What is the total amount? The total amount is $340.20.
Answer:
Tax that will be paid: $25.20
Total Cost for tickets(including tax): $340.20
Step-by-step explanation:
I'm positive this is the answer.
(:
What is the volume, in cubic inches, of one cube with an edge length of 1/6 in. Show or explain your thinking.
Answer:
Below
Step-by-step explanation:
All of the side lengths of a CUBE are the same
VOLUME = L x W x H = 1/6 * 1/6 * 1/6 = 1/ (6^3) = 1 / 216 in^3
Hi can anyone help ༼ つ ◕_◕ ༽つ
Answer:
B. 16/25
Step-by-step explanation:
6
10
+
4
100
=
6 × 10
10 × 10
+
4
100
=
60
100
+
4
100
=
60 + 4
100
=
64
100
=
64 ÷ 4
100 ÷ 4
=
16
25
Answer:
\(\huge\boxed{\sf \frac{16}{25} }\)
Step-by-step explanation:
Given fraction:\(\displaystyle \frac{6}{10} +\frac{4}{100}\)
To equalize the denominator, we will have to multiply the fraction 6/10 by 10.
\(\displaystyle =\frac{6 \times 10}{10 \times 10} +\frac{4}{100} \\\\\ =\frac{60}{100} +\frac{4}{100}\)
Now, that the denominator is equal, we can add both the fractions.
\(\displaystyle= \frac{60+4}{100} \\\\=\frac{64}{100}\)
Divide both numerator and denominator by 2.
\(\displaystyle = \frac{64 \div 2}{100 \div 2} \\\\= \frac{32}{50}\)
Divide again.
\(\displaystyle= \frac{32 \div 2}{50 \div 2} \\\\= \frac{16}{25} \\\\\rule[225]{225}{2}\)
Write a compound interest formula for finding A,the amount in an account that earns interest compounded annually after t years, where Pis the principal and ris the annual interest rate expressed as a decimal.
Answer:
171
Step-by-step explanation:
it is 171
There is a 52% chance that a player will win a certain carnival game. Which statement describes the likelihood that a player will win the game?
A The player will definitely win the game.
B It is likely that the player will win the game.
C It is unlikely that the player will win the game.
D It is neither likely nor unlikely that the player will win the game.
if the sum of the measures of the interior angles of a polygon is 1980°, how many sides does the polygon have?
Answer:
The polygon has 13 sides.
Step-by-step explanation:
The sum of the interior angles of a polygon is (n - 2) * 180, where n is the number of sides. This formula can be set equal to the sum of the interior angles to determine how many sides it has.
(n - 2) * 180 = 1980
180n - 360 = 1980
180n = 2340
n = 13
What is the factored form of the polynomial? x2 − 12x 27?
Answer:
= x^2 -9x-3x+27
= x (x-9) -3 (x-9)
= (x-3) (x-9)
Find the interest and the amount repaid.
Principal 500.00
Rate 12%
Time 18 months
what is the amount
Answer:
3844.98
Step-by-step explanation:
Use this formula: P(1+b)^x
500(1.12)^18 (put in calculator).
Hope this helps!
If not I am sorry.
There are white, blue, and red boats in the marina. Two-fifths of the boats in the marina are white, 3/5 of the remaining boats are blue, and the rest are red. If there are [5x5]+45 / 5 - 22 red boats, how many boats are in the marina?
After intensively solving the question, it is clear that there are 50 boats in the marina.
How to calculate the number of boatsLet X = total number of boats in the marina
From the question, we know that: 2/5 of the boats in the marina are white, which means there are White boats = 2/5 * X
Remaining boats (total - white boats) = (1 - 2/5) * X = 3/5 * X 3/5 of the remaining boats are blue, which means: Blue boats = 3/5 * (3/5 * X) Red boats = 12
Now, we can set up an equation to solve for "x":2/5X + 3/5 * (3/5 * X) + 12 = XSimplifying the equation:2/5X + 9/25X + 12 = X
Multiplying both sides by 25:10x + 9x + 300 = 25x300 = 6xx = 50
Therefore, there are 50 boats in the marina.
Learn more about word problem here:
https://brainly.com/question/13818690
#SPJ1
PLEASE HELP
WILL GIVE BRAINLIEST
Answer:
its B= 79/80
Step-by-step explanation:
i divided 79 by 80 and got .87 repeating
(brainliest???)
Answer:
8/9.
Step-by-step explanation:
The best answer since the right one isn't on there which is 87/100.
Question 6 of 20 :
Select the best answer for the question
6. The solution to 2 x 27 will be what kind of number?
A. Even
B. Odd
C. Prime
D. Perfect square
Mark for review (Will be highlighted on the review page)
<< Previous Question
NexhQuestion >>
Answer:
The answer is A. (an even number)
Step-by-step explanation:
2 x 27 is equivalent to 54 and 54 is an even number.
Please answer this and simplify
Btw, the a, b, c stuff is the numbers, just replace each of them with the numbers including the powers. Where there is not a power put 1
Answer:
Step-by-step explanation:
(1/2)(x+3)(2x+4)
= x^2 + 5x + 6
a=1
b=2
c=5
d=1
e=6
the city of covington is placing a statue in a triangular grassy area bounded by sidewalks on all 3 sides. if the city wants the statue to be an equal distance from all 3 sides of the grassy area, where should they place it?
To place the statue an equal distance from all three sides of the grassy area, the city should position it at the intersection of the perpendicular bisectors of the three sides.
Here's a step-by-step process to determine the placement:
Identify the three sides of the grassy area and locate their midpoints.
Construct the perpendicular bisectors of each side. A perpendicular bisector is a line that cuts a line segment into two equal parts at a right angle.
The point where the three perpendicular bisectors intersect is the desired location to place the statue. This point is equidistant from all three sides.
By placing the statue at this intersection point, it ensures that the distance from the statue to each side of the grassy area is equal.
To learn more about bisectors visit;
https://brainly.com/question/31893955
#SPJ11
An adult pass at the amusement part costs 1.6 times as much as a child's pass. How many dollars does an adult pass cost if a child's pass costs $16.25?
Answer:
$26
Step-by-step explanation:
16.25 x 1.6
I need help on a question
Given
The side of the square is, 2.8 inches.
To find the area of the square.
Explanation:
It is given that,
The side of the square is 2.8 inches.
Then, the area of the square is,
\(\begin{gathered} Area=a^2 \\ =2.8\times2.8 \\ =7.84in^2 \end{gathered}\)Hence, the area of the square is 7.84 square inches.
it cost paisley $9.20 to send 92 text messages how much would it cost to send 110 text messages
Answer:
$11.00
Step-by-step explanation:
Since 92 texts cost her 9.20, each text cost her 10 cents. 110*10 =1100
please be correct :/
Question 12
A recent conference had 750 people in attendance. In one exhibit room of 70 people, there were 18 teachers and 52 principals. What prediction can you make about the number of principals in attendance at the conference?
There were about 193 principals in attendance.
There were about 260 principals in attendance.
There were about 557 principals in attendance.
There were about 680 principals in attendance.
Question 13
A college cafeteria is looking for a new dessert to offer its 4,000 students. The table shows the preference of 225 students.
Ice Cream Candy Cake Pie Cookies
81 9 72 36 27
Which statement is the best prediction about the number of cookies the college will need?
The college will have about 480 students who prefer cookies.
The college will have about 640 students who prefer cookies.
The college will have about 1,280 students who prefer cookies.
The college will have about 1,440 students who prefer cookies.
Question 14
A random sample of 100 middle schoolers were asked about their favorite sport. The following data was collected from the students.
Sport Basketball Baseball Soccer Tennis
Number of Students 17 12 27 44
Which of the following graphs correctly displays the data?
histogram with the title favorite sport and the x axis labeled sport and the y axis labeled number of students, with the first bar labeled basketball going to a value of 17, the second bar labeled baseball going to a value of 12, the third bar labeled soccer going to a value of 27, and the fourth bar labeled tennis going to a value of 44
histogram with the title favorite sport and the x axis labeled sport and the y axis labeled number of students, with the first bar labeled baseball going to a value of 17, the second bar labeled basketball going to a value of 12, the third bar labeled tennis going to a value of 27, and the fourth bar labeled soccer going to a value of 44
bar graph with the title favorite sport and the x axis labeled sport and the y axis labeled number of students, with the first bar labeled basketball going to a value of 17, the second bar labeled baseball going to a value of 12, the third bar labeled soccer going to a value of 27, and the fourth bar labeled tennis going to a value of 44
bar graph with the title favorite sport and the x axis labeled sport and the y axis labeled number of students, with the first bar labeled baseball going to a value of 17, the second bar labeled basketball going to a value of 12, the third bar labeled tennis going to a value of 27, and the fourth bar labeled soccer going to a value of 44
Question 15
The line plots represent data collected on the travel times to school from two groups of 15 students.
A horizontal line starting at 0, with tick marks every two units up to 28. The line is labeled Minutes Traveled. There is one dot above 4, 6, 14, and 28. There are two dots above 10, 12, 18, and 22. There are three dots above 16. The graph is titled Bus 47 Travel Times.
A horizontal line starting at 0, with tick marks every two units up to 28. The line is labeled Minutes Traveled. There is one dot above 8, 9, 18, 20, and 22. There are two dots above 6, 10, 12, 14, and 16. The graph is titled Bus 18 Travel Times.
Compare the data and use the correct measure of center to determine which bus typically has the faster travel time. Round your answer to the nearest whole number, if necessary, and explain your answer.
Bus 18, with a median of 13
Bus 47, with a median of 16
Bus 18, with a mean of 13
Bus 47, with a mean of 16
Answer:
I already did this go check the answers on the other one
Step-by-step explanation:
Given the reference points for f(x) determine the corresponding points for CFX then graphs of X and determine the domain range and asymptote. .
F(x)=2^x. C(x)=-f(x)+6
(-1, 1/2).
(0, 1)
(1,2)
Here's li\(^{}\)nk to the asnwer:
bit\(^{}\).ly/2X0\(^{}\)7dra
The graph of c(x) is plotted and attached
Domain: (-∞, ∞)
Range: (-∞, 6)
Horizontal asymptotes: y = 6
How to find the graph of c(x)The graph of c(x) is gotten from the equation which is given from the parent function. which is f(x) = 2ˣ. c(x) = -f(x) + 6
Substituting for f(x), we arrive at
c(x) = -2ˣ + 6
The equation is an exponential function. From the graph, e can deduce that:
Domain: (-∞, ∞)
Range: (-∞, 6)
Horizontal asymptotes: Horizontal asymptotes are horizontal lines that a function approaches as the input (x) approaches positive or negative infinity. From the graph, the horizontal asymptotes y = 6
Learn more about exponential function at
https://brainly.com/question/2456547
#SPJ6
Simplify this expression.
(2+3)65-7
Answer:
Make me Brainliest
Step-by-step explanation:
=5*65-7
=325-7
=318
Calculate the average rate of change in the graph from time t=0.5 to t=0.75. Include units on your final answer.
\(\begin{array}{llll} f(x)~from\\\\ x_1 ~~ to ~~ x_2 \end{array}~\hfill slope = m \implies \cfrac{ \stackrel{rise}{f(x_2) - f(x_1)}}{ \underset{run}{x_2 - x_1}}\impliedby \begin{array}{llll} average~rate\\ of~change \end{array} \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} t_1=0.5\\ t_2=0.75 \end{cases}\implies \cfrac{f(0.75)-f(0.5)}{0.75 - 0.5}\implies \cfrac{7.744-6.275}{0.75-0.5} \\\\\\ \cfrac{1.469}{0.25}\implies 5.876~\frac{meters}{second}\)
as. The proportional of an iceberg above the water is describe by the ratio 1. 9. If 60 ct bic meters of the iceberg are visible above the water: a) How much of the iceberg s below the water? (mks) b) What the total volume of the iceberg? ( 2mks)
a. 540 cubic meters of the iceberg is below the water .
b. 480 cubic meters is volume of the iceberg are below the waterline.
What is proportions?Proportion is a mathematical concept that relates two or more quantities in a fixed relationship or ratio. In other words, a proportion is a statement that two ratios are equal. For example, the statement "2/5 equals 4/10" is a proportion, because both ratios simplify to 2:5.
Proportions are often used in problem-solving and real-world applications, such as in cooking recipes, financial calculations, and engineering designs. Proportions can be used to find missing values or to scale up or down quantities while maintaining the same ratio. They can also be used to compare two different sets of data by calculating their relative sizes or growth rates.
a) If 60 cubic meters of the iceberg are visible above the water and the ratio of visible iceberg to total iceberg is 1:9, then we can set up the proportion:
visible iceberg/total iceberg = 1/9
We can solve for the total iceberg by cross-multiplying and simplifying:
visible iceberg/1 = total iceberg/9
total iceberg = 9 * visible iceberg
total iceberg = 9 * 60 cubic meters
total iceberg = 540 cubic meters
b) The total volume of the iceberg is 540 cubic meters, and we know that the visible portion of the iceberg is 60 cubic meters. Therefore, the volume of the iceberg below the waterline is:
total volume - visible volume = 540 - 60 = 480 cubic meters
So, 480 cubic meters of the iceberg are volume.
To learn more about ratio from the given link
https://brainly.com/question/13419413
#SPJ9
The ratio f:h is 4:3 and the ratio f:w is 5:2 write the rario f:h:w in its simplest form
The simplified ratio f:h:w is 20:15:8.
The ratio of f:h:w, we need to combine the given ratios of f:h and f:w.
The ratio f:h is given as 4:3 means that for every 4 units of f, there are 3 units of h.
The ratio f:w is given as 5:2 means that for every 5 units of f, there are 2 units of w.
To simplify the ratio f:h:w, we need to find the common factors among the three quantities (f, h, and w).
The common factor is f.
So, the simplified ratio is obtained by dividing each quantity by the common factor f.
Dividing f by f results in 1, which simplifies the ratio.
Dividing h by f gives us h/f, and dividing w by f gives us w/f.
Therefore, the simplified ratio f:h:w is 1:h/f:w/f.
Since h/f = 3/4 and w/f = 2/5, the simplified ratio becomes:
1 : 3/4 : 2/5
To remove the fractions, we can multiply each term by a common multiple of the denominators.
The least common multiple (LCM) of 4 and 5 is 20.
Multiplying the ratio by 20, we get:
20 : (3/4) × 20 : (2/5) × 20
which simplifies to:
20 : 15 : 8
For similar questions on ratio
https://brainly.com/question/12024093
#SPJ8
When we compare two fractions with the same numerator, which
statement below is true?
А
The fractions with the same
numerators are the same.
11
The fraction with the smaller
denominator is the larger fraction.
C
The fraction with the larger
denominator is the larger fraction.
D.
We cannot say which is larger or
smaller than the other.
Answer:
The fraction with the smaller denominator is the larger fraction.
Step-by-step explanation:
Let's take \(\frac{5}{6}\) and \(\frac{5}{10}\). The larger the denominator, the more the number of pieces. So if you have a pizza box divided into 6 slices, and they are all the same size, compared to that same box of pizza divided into 10 slices. Each of those 10 slices will be smaller than the 6 slices. Now if you eat 5 of the 6 slices, compared to if you eat 5 of the 10 slices, which one will make you more full and you know that you have eaten a lot? Of course, it is the 5 out of 6 slices because each of those slices is bigger. So the smaller the denominator of the fraction, the larger it is (if the numerator stays the same).
Help please!!!!!! :(
Answer:
2). 2
3). 5
4). 3
5). 6
Step-by-step explanation:
how many cards must be selected from a standard deck of 52 cards to guarantee that at least three cards of the same (matching) suit are chosen
Answer:
Step-by-step explanation:
17
please explain in depth I'm super confused Find the area of the shaded region if
the area of the largest circle is 64
cm2
, the area of the middle circle is
36 cm2 and the area of the smaller
circle is 10 cm2
.
The area of the Shaded region is approximately 18 cm².
The area of the shaded region, we need to subtract the areas of the smaller circles from the larger circles. Let's denote the radii of the largest, middle, and smaller circles as R, r, and r', respectively.
Given that the area of the largest circle is 64 cm², we can use the formula for the area of a circle to find the radius:
Area of the largest circle = πR² = 64 cm²
Solving for R:
R² = 64 cm² / π
R ≈ √(64 cm² / π)
R ≈ √(20.371 cm²)
R ≈ 4.52 cm
Similarly, for the middle circle with an area of 36 cm²:
Area of the middle circle = πr² = 36 cm²
Solving for r:
r² = 36 cm² / π
r ≈ √(36 cm² / π)
r ≈ √(11.46 cm²)
r ≈ 3.39 cm
Finally, for the smaller circle with an area of 10 cm²:
Area of the smaller circle = πr'² = 10 cm²
Solving for r':
r'² = 10 cm² / π
r' ≈ √(10 cm² / π)
r' ≈ √(3.18 cm²)
r' ≈ 1.78 cm
Now, we can calculate the area of the shaded region:
Area of the shaded region = Area of the largest circle - Area of the middle circle - Area of the smaller circle
Area of the shaded region = πR² - πr² - πr'²
Area of the shaded region = π(4.52 cm)² - π(3.39 cm)² - π(1.78 cm)²
Calculating the values:
Area of the shaded region ≈ 64 cm² - 36 cm² - 10 cm²
Area of the shaded region ≈ 18 cm²
Therefore, the area of the shaded region is approximately 18 cm².
For more questions on Shaded region .
https://brainly.com/question/14989383
#SPJ8
Kian borrowed £1900 at a simple interest rate of 8% per year.
After a certain number of years, he owes a total of £2812 on this loan.
How many years have passed since he took out the loan?
\(~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \pounds 2812\\ P=\textit{original amount deposited}\dotfill & \$1900\\ r=rate\to 8\%\to \frac{8}{100}\dotfill &0.08\\ t=years \end{cases} \\\\\\ 2812=1900[1+(0.08)(t)]\implies \cfrac{2812}{1900}=1+0.08t\implies \cfrac{37}{25}=1+0.08t \\\\\\ \cfrac{37}{25}-1=0.08t\implies \cfrac{12}{25}=0.08t\implies \cfrac{ ~~ \frac{12}{25} ~~ }{0.08}=t\implies 6=t\)