In the equation y=10(1+0.4)t, the initial amount a is 10 and the rate of growth r is 40%. Evaluating this exponential function when t=5 gives us a value of 56.2.
Explanation:In the exponential function y=10(1+0.4)t, the initial amount a is indicated by the coefficient of the function, which in this case is 10. The rate of growth r can be determined from the value added inside the parentheses, given as 0.4, which when converted to percent is 40%. Now, to evaluate the function when t=5, you substitute 5 for t in the equation y=10(1+0.4)*5.
Solving this: y=10*(1+0.4)5 = 10*(1.4)^5 = 56.2 (rounded to the nearest tenth).
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Which graph represents the solution set of the system of inequalities?
{ y < -3x - 2
{ y ≤ x - 2
The common shaded region of the given inequality is given by figure 3 with yellow color.
What is an inequality and how to graph it ?An inequality is a statement that compares two expressions we can solve an inequality by adding same number to both sides or by subtracting same number from both side.
To graph the inequality
Replace the sign of the inequality with equal to sign.Graph the equation made with equal to line.If the point (x, y) satisfies the inequality then check whether the inequality is satisfied on that point or not.Shade the region on that side of line where any point satisfies the equation if not shade the opposite side of region.if the sign of inequality is < ,> with equal to gin then make the line dotted for respective equality otherwise a solid line.Given inequalities are :
y < -3x -2
y ≤ x-2
For y < -3x-2 consider the equality y = -3x -2
Put x =0 ⇒ y = -2 , ( 0, -2)
Put y = 0 , x = -2/3, ( -2/3 , 0)
∴ y = -3x -2 is the line passing through the points ( 0, -2) and ( -2/3 , 0)
⇒ Put (0,0) in y<-3x-2 ⇒ 0 < -3(0) -2 ⇒0 < -2 which is false
Therefore , the inequality y<-3x-2 is the shaded region shown in figure 1
Similarly for inequality y ≤ x - 2 , Consider y = x - 2
Put x = 0 ⇒ y =-2, (0,-2)
Put y=0 ⇒ x =2 , (2,0), thus y = x - 2 is the line passing through (2,0) and (0,-2)
Put (0,0) in y ≤ x - 2⇒ 0 ≤ -2 , which is false
therefore the region of this inequality is as shown in figure 2.
The common shaded area is given by yellow color figure 3 .
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Which is a measure of the efficiency of an investment?
Answer:
ROI
Step-by-step explanation:
To measure the efficiency of the an investment, we use a term called "ROI"
That is return on investment. which is calculated by the formula
(return earned/ capital invested)*100.
Lets assume that you invested $10000 in any bank or business venture, and you earned a profit or return of $2000. So your percentage of return is (2000/10000)*100 = 20%
Fifty students were eating lunch in the school cafeteria. The ratio of boys to girls was 25:25. Mrs. White asked Kym to explain what that ratio meant. Kym said it meant that 25% of the students in the cafeteria were boys. Explain why Kym is incorrect.
Answer:
Sample Response: The ratio of boys to total students was 25:50. Written as a fraction, this is 25/50. Rewrite the fraction with a denominator of 100 to 50/100. So 50% of the students were boys.
Step-by-step explanation:
Yoko is buying a car from a local car dealership. She wants to get the lowest interest rate possible. Which will most likely help her get the lowest interest rate?
A)asking nicely
B)making sure she has a positive credit history
C)explaining that she has many outstanding loans
D)showing her driver’s license
Answer:
B)making sure she has a positive credit history
Step-by-step explanation:
Yoko is buying a car from a local car dealership. She wants to get the lowest interest rate possible.
B) making sure she has a positive credit history - will most likely help her get the lowest interest rate.
Getting low interest rates does not depend on the way you talk or if you have a driver licence.
It depends on your previous credit history and credit scores. When you have good scores, this means you have always paid your debts on time and this makes sure that you will do the same in future.
So, you get low interest rates based on good credit history.
To get the lowest interest rate she should make sure that she has a positive credit history. Option (B) is correct.
Further Explanation:
Given:
The options are as follows,
(A). Asking nicely
(B). Making sure she has a positive credit history
(C). Explaining that she has many outstanding loans
(D). Showing her driver’s license
Explanation:
Yoko is buying a car from a local car dealership. She wants to get the lowest interest rate possible.
To get the lowest interest rate she should make sure that she has a positive credit history. Option (B) is correct.
Option (A) is not correct.
Option (B) is correct.
Option (C) is not correct.
Option (D) is not correct.
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If the clothing maker bought 500 m2 of this fabric, how much money did he lose? use 1tepiz=0.625dollar and 0.9144m=1yard https://brainly.com/question/2479097. Suppose that you find the volume of all the oceans to be 1.4×109km3 in a reference book. to find the mass, you can use the density of water, also found in this reference book, but first you must convert the volume to cubic meters. what is this volume in cubic meters? https://brainly.com/question/1446243.Answer details:
Grade: High School
Subject: Mathematics
Chapter: Loan schedule
Keywords: Yoko, buying, car, local car, dealership, lowest interest rate, possible, asking nicely, credit history, positive credit history, loan, license, outstanding.
HELP ME PLEASE!!!!!!
Tracy needs to find the length and width of the equipment storage room where she works. The room is 3 meters longer than it is wide. Its perimeter is 18 meters. Find the width in meters
Cookies are on sale! Today each cookie costs $0.75 less than the normal price. Right now if you buy 7 of them it will only cost you $2.80! Write an equation to determine the normal price of each cookie. Find the normal price of each cookie.
Answer:
The price of each cookie is $ 1.15.
Step-by-step explanation:
Let x be the normal price of each cookie,
Since, each cookie costs $0.75 less than the normal price,
Thus, the new price of each cookie = ( x - 0.75 ) dollars,
So, the price of 7 cookies = 7( x-0.75 ) dollars
According to the question,
The price of 7 cookies = $ 2.80
⇒ 7( x-0.75 ) = 2.80
Which is the required equation to determine the normal price of each cookies,
For solving the above equation,
Divides both sides by 7,
x - 0.75 = 0.4
Adding 0.75 on both sides,
x = 1.15
Hence, the price of each cookie is $ 1.15.
PLEASE HELP AND ANSWER BOTH QUESTIONS
A drawing with the scale of 3 cm for each meter shows where Adam wants to plant flowers. If the actual distance of the flower planting is 25 m long, how long is the scale distance on the drawing?
You earn $7.80 an hour working as a dog sitter. You work 12.5 hours during the weekend. How much money do you make?
need help on #15 please
Write he ratio that compares $7 1/2 dollars to 3/4 pound of coffee dollars to pounds of coffee=
The ratio that compares $7 1/2 dollars to 3/4 pound of coffee dollars to pounds of coffee is 10.
What are the ratio and proportion?The ratio is the division of the two numbers.
For example, a/b, where a will be the numerator and b will be the denominator.
Proportion is the relation of a variable with another. It could be direct or inverse.
As per the given,
$7 1/2 = $(7 + 1/2) = $15/2
$30/4 → $3/4 × 10
3/4 pounds
Ratio = 10
Hence "The ratio that compares $7 1/2 dollars to 3/4 pound of coffee dollars to pounds of coffee is 10".
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how do you know if two line segments are parallel
isaiah wrote this problem in his notebook. Using the Vocabulary boxes,label the parts of the division problem. then, using the vocabulary, explain how isaiah can check whether his quotient is correct. quotient, divisor, dividend
Answer:
9 is divisor, 648 is dividend and 72 is the quotient.
Isaiah can check his work by multiplying divisor(9) and quotient (648). If quotient is correct the product will be equal to dividend.
Step-by-step explanation:
Consider the provided information.
A number by which another number is to be divided is called divisor.
A number which is divided by another number is called dividend.
A result obtained by dividing one number by another is called quotient.
Here 9 is the number which divide 648.
Therefore, 9 is divisor.
648 is the number which is divided by 9.
Therefore, 648 is dividend.
The result obtained by dividing 648 by 9 is 72.
Therefore, 72 is the quotient.
Isaiah can check his work by multiplying divisor(9) and quotient (648). If quotient is correct the product will be equal to dividend.
the square of m minus the cube of n is sixteen
On the football team, two out of every seven players are seniors. If the team has 84 players, how many of the players are not seniors?
Answer: 60
Step-by-step explanation:
Given : The fraction of football players are senior = [tex]\dfrac{2}{7}[/tex]
If the team has 84 players, then by using the MULTIPLICATION OPERATION, we have
The number of players are senior = [tex]\dfrac{2}{7}\times84=24[/tex]
Then by using Subtraction operation , the number of players are not seniors =84-24=60
Carey correctly graphs a linear function. The slope of the function is –1. The y-intercept is 3. Which is Carey’s graph?
Answer:
The linear function is [tex]y=-x+3[/tex]. The graph of function is given below.
Step-by-step explanation:
The slope intercept form of a linear function is
[tex]y=mx+b[/tex]
Where, m is slope and b is y-intercept.
Since the slope is -1 and the y-intercept is 3, therefore the linear function is,
[tex]y=-x+3[/tex]
put y=0, to find x-intercept.
[tex]0=-x+3[/tex]
[tex]x=3[/tex]
Therefore the line intersect the y-axis at y=3, x-intercept is x=3 and the as the value of x increases the value of y decreases.
The graph of the linear function [tex]y=-x+3[/tex] is given below.
The first graph.
It's right on edge
find the slope of a line parallel to 3x+5y=15
Answer:
A. [tex]-\frac{3}{5}[/tex].
Step-by-step explanation:
We have been given equation of a line [tex]3x+5y=15[/tex]. We are asked to find the slope of a parallel line to our given line.
We know that slopes of parallel lines are equal, so slope of the parallel line will be equal to slope of our given line.
To find the slope of our given line, we will convert our given equation in slope-intercept form of equation [tex]y=mx+b[/tex], where m represents slope of line.
First of all, we will subtract 3x from both sides of our given equation as:
[tex]3x-3x+5y=15-3x[/tex]
[tex]5y=-3x+15[/tex]
Now, we will divide both sides by 5.
[tex]\frac{5y}{5}=\frac{-3x+15}{5}[/tex]
[tex]y=\frac{-3x}{5}+\frac{15}{5}[/tex]
[tex]y=-\frac{3x}{5}+3[/tex]
Upon comparing our equation with slope-intercept form, we can see that [tex]m=-\frac{3}{5}[/tex] and option A is the correct choice.
Brad has $1.65. He spends 75 cents to buy a card. How much change does he get back ?
Final answer:
After purchasing a card for 75 cents, Brad receives 90 cents back in change from his initial $1.65.
Explanation:
The student's question is about calculating change returned after a purchase, which is a basic arithmetic problem. Brad starts with $1.65 and spends 75 cents on a card. To find out how much change Brad gets back, we subtract the cost of the card from the amount Brad started with.
$1.65 - $0.75 = $0.90
Therefore, Brad gets 90 cents back in change after buying the card.
Chaz rides 1/3 mile every 1/6 hour. How far does he ride in 1 hour?
melanie michael has a salaried and exempt job. she earns $825 a week. one week she worked 46 hours. find her gross weekly earnings.
If b = 9 cm, c = 7 cm, and m∠A = 66°, what is the approximate area of ABC?
A) 28.78 cm2
B) 12.81 cm2
C) 14.62 cm2
D) 57.55 cm2
Thank you!
Steven earns extra money babysitting. He charges $23.25 for 3 hours and $54.25 for 7 hours. Enter an equation to represent the relationship. Let x represent the number of hours Steven babysits and y represent the amount he changes.
In the diagram, AB:BC is 3:4 and AC:42 Find BC
Use the distributive property to expand the expression. −(3x2 + 4y) + (8z2 − 2) A) −3x2 + 4y + 8z2 − 2 B) −3x2 − 4y − 8z2 + 2 C) −3x2 − 4y + 8z2 − 2 D) −3x2 − 4y − 8z2 − 2
State the value of m and the value of b!
A. F(x):m= , b=
B. G(x): m= , b =
C. H(x): m = , b=
What is the greatest common of 48 and 14
Trygg has 3/4 package of marigold seeds. He plants 1/6 of those seeds in his garden as and divides the rest equally into 10 flower pots. What fractionof a package of seeds is planted in each flowerpot?
We are required to find the fraction of a package of seeds is planted in each flowerpot.
The fraction of a package of seeds planted in each flowerpot is 7/120
Given:
Total package of seed = 3/4
Quantity of seeds planted in his garden = 1/6
Quantity of seed remaining = Total package of seed - Quantity of seeds planted in his garden
= 3/4 - 1/6
= (18 - 4) /24
= 14 / 24
Quantity of seed remaining = 7 / 12
Number of flowerpots = 10fractionof a package of seeds is planted in each flowerpot = Quantity of seed remaining ÷ Number of flowerpots
= 7/12 ÷ 10/1
= 7/12 × 1/10
= (7 × 1) / (12 × 10)
= 7/120
Therefore, the fraction of a package of seeds planted in each flowerpot is 7/120
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A plane flies over city A and reaches city B, 115 miles away, in 15 minutes. Find the speed of the plane in miles per hour assuming the plane flew at a constant speed.
A. 300 mph
B. 460 mph
C. 600 mph
D. 680 mph
Answer:
B
460
Step-by-step explanation:
You make 3 batches of cookies to make bags for a sale. You put 5 cookies in each bag. Given 14(5)+2=3(24). What do the terms represent? Please help!!
help me please below........