Answer:
I think it's simple sentence
Leticia invests $200 at 5% interest. If y represents the amount of money after x time periods, which describes the graph of the exponential function relating time and money?
The initial value of the graph is 200. The graph increases by a factor of 1.05 per 1 unit increase in time.
The initial value of the graph is 200. The graph increases by a factor of 5 per 1 unit increase in time.
The initial value of the graph is 500. The graph increases by a factor of 2 per 1 unit increase in time.
The initial value of the graph is 500. The graph increases by a factor of 1.02 per 1 unit increase in time.
Answer:
First you need to state the equation that represents the function.
Investment is $200 and interest rate is 5%, y is the amount of money after x periods.
Note that after 1 period the amount of money is 200 plus 5% interest, which is 200 + 5%(200) = 200 (1 +5%) = 200 (1 + 0.05) = 200 (1.05)
After 2 periods the amount is 200(1.05)*(1.05) = 200 (1.05)^2
After 3 periods the amount is 200 (1.05)^3
And now you can deduce that after x periods y = 200 (1.05)^x
You can then analyze the function to predict the shape and critical points of the graph.
The answers are based in the initial value and the increasing factor.
The initial value is when x = 0, which yields to y = 200 (1.05)^0 = 200*1 = 200
And the increasing factor is 1.05 because any value is the previos one times 1.05.
Step-by-step explanation:
The cost of playing golf increases with the number of games played. Identify the independent and dependent quantity in the situation.
A. hours played; cost
B. cost; games played
C. cost; hours played
D. games played; cost
On Wednesday, a local hamburger shop sold a combined total of 294 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were sold on Wednesday?
Answer:
check the picture
Step-by-step explanation:
I hope this help
Use the graph of f(x) to estimate f(3).
Answer:
f(3) = -8
Step-by-step explanation:
f(3) means find the y value when x=3
Using the graph the y value when x =3 is -8
f(3) = -8
find the value of a and the value of b :
4x2 - 4x - 15 is a factor of 4x3 + ax2 + bx + 30.
Step-by-step explanation:
the answer is in the above image
pls give me BRAINLIEST
Ms. Snyder is giving a 28-question test that is made up of multiple choice questions worth 2 points each and open response questions worth 4 points each. The entire test is worth 100 points. Let x represent the number of multiple choice questions, and let y represent the number of open response questions.
Write a system of linear equations to represent each situation.
Answer:
x *2 + (28-x)*4 = 100
Step-by-step explanation:
Given
Total number of questions in the paper = 28
Out of these 28 questions let us say that x number of questions are of 2 points and 28-x questions are of 4 points.
Also, the complete test is of 100 marks
Thus, the linear equation representing the
x *2 + (28-x)*4 = 100
In ΔVWX, the measure of ∠X=90°, XW = 65, WV = 97, and VX = 72. What is the value of the cosine of ∠V to the nearest hundredth?
Answer:
The cosine of ∠V is of 0.74.
Step-by-step explanation:
Relations in a right triangle:
The cosine of an angle is given by the length of the adjacent side divided by the length of the hypotenuse.
XW = 65, WV = 97, and VX = 72.
[tex]\sqrt{65^2+72^2} = 97[/tex], and thus, this is a right triangle.
What is the value of the cosine of ∠V to the nearest hundredth?
The hypotenuse is the largest side, that is, WV = 97.
The adjacent side of angle V is VX = 72. So
[tex]\cos{B} = \frac{72}{97} = 0.74[/tex]
The cosine of ∠V is of 0.74.
Please help!!!! Shsjsjahshsh
Answer:
The answer is b
Step-by-step explanation:
write an expression to represent multiplying twice the difference of 9 and 7 PLS HELP TYSM ASAP TOO PLS
Answer:
2*3
Step-by-step explanation:
multiplying 2 the difference subtraction of 9-7 your answer is 2*3
Please help with 15, 17 and 19
Given:
15. [tex]\log_{\frac{1}{2}}\left(\dfrac{1}{2}\right)[/tex]
17. [tex]\log_{\frac{3}{4}}\left(\dfrac{4}{3}\right)[/tex]
19. [tex]2^{\log_2100}[/tex]
To find:
The values of the given logarithms by using the properties of logarithms.
Solution:
15. We have,
[tex]\log_{\frac{1}{2}}\left(\dfrac{1}{2}\right)[/tex]
Using property of logarithms, we get
[tex]\log_{\frac{1}{2}}\left(\dfrac{1}{2}\right)=1[/tex] [tex][\because \log_aa=1][/tex]
Therefore, the value of [tex]\log_{\frac{1}{2}}\left(\dfrac{1}{2}\right)[/tex] is 1.
17. We have,
[tex]\log_{\frac{3}{4}}\left(\dfrac{4}{3}\right)[/tex]
Using properties of logarithms, we get
[tex]\log_{\frac{3}{4}}\left(\dfrac{4}{3}\right)=-\log_{\frac{3}{4}}\left(\dfrac{3}{4}\right)[/tex] [tex][\because \log_a\dfrac{m}{n}=-\log_a\dfrac{n}{m}][/tex]
[tex]\log_{\frac{3}{4}}\left(\dfrac{4}{3}\right)=-1[/tex] [tex][\because \log_aa=1][/tex]
Therefore, the value of [tex]\log_{\frac{3}{4}}\left(\dfrac{4}{3}\right)[/tex] is -1.
19. We have,
[tex]2^{\log_2100}[/tex]
Using property of logarithms, we get
[tex]2^{\log_2100}=100[/tex] [tex][\because a^{\log_ax}=x][/tex]
Therefore, the value of [tex]2^{\log_2100}[/tex] is 100.
Write the slope-intercept form of the equation for the line.
Answer:
its 4/2 or simplified to 2/1
Step-by-step explanation:
mark me brainliest pls
What is the value of the upper quartile?
Savannah hike 1 mile every day after Hiking on Monday she has height 102 miles after hiking on Friday how many miles will she have hike
Answer:
106
Step-by-step explanation: ts 6 9 21 30
After Monday
102 + Tuesday + Wednesday + Thursday + Friday After
102 + 1 + 1 + 1 + 1 = 106
Write the percent of the figure that is shaded.
PLEASE HELP ILL GIVE EXTRA POINTS!!!
Answer:
so the total is 20 and its at ten so
10/20=5/10=1/2
so 50 percent
plzzz brainlest
If using the method of completing the square to solve the quadratic equation x^2+8x+11=0, which number would have to be added to "complete the square"?
Answer:
4
Step-by-step explanation:
x²+8x+11=0
x²+8x+(+4)²-(+4)²+11=0
Answer:
16
Step-by-step explanation:
x2+8x= −11−11
28=4→(4)2=16
x2+8x+16=x2+8x+16= −11+16−11+16
(x+4)2= 55
16
7. A biscuit recipe calls for these
ingredients:
3/8
cup of brown sugar
- 2 1/2 cups of flour and
1/3 cup of white sugar
b) Would a bowl that holds 3 cups
be big enough to hold all three
ingredients? Explain how you know.
Hope this explanation helps. :)
Miss Smith save 5% on her recent Starbucks order because she is a Starbucks Rewards member if the cost of per purchase before the discount was $5.20 how much did Miss smith save
Answer:
$4.94
Step-by-step explanation:
O 5.20 100%
P - 5
N 95%
0.95 x 5.20 = 4.94
Ms. Smith saved $4..94.
Solve the following system of equations using matrices (row operations).
x-y=3
6x-5z=36
6y+2z=18
Answer:
(6,3,0)
Step-by-step explanation:
Given,
x - y + 0z = 3
6x - 0y - 2z = 36
0x + 6y + 2z = 18
You have the following augmented matrix:
(1) 1 -1 0 3
(2) 6 0 -2 36
(3) 0 6 2 18
Let's (3) add to (2) and divide by 6
(1) 1 -1 0 3
(2) 1 1 0 9
(3) 0 6 2 18
Now, let's (2) add to (1) and divide by 2
(1) 1 0 0 6
(2) 1 1 0 9
(3) 0 6 2 18
Let's (3) ÷ 2
(1) 1 0 0 6
(2) 1 1 0 9
(3) 0 3 1 9
Let's (1) subtract from (2)
(1) 1 0 0 6
(2) 0 1 0 3
(3) 0 3 1 9
Finally, let's (2) multiply by 3 and subtract from (3)
(1) 1 0 0 6
(2) 0 1 0 3
(3) 0 0 1 0
Thus,
x = 6, y = 3 and z = 0
The answer is (6, 3, 0)
We have to verify the answer
6 - 3 = 3 ⇒⇒ 3 = 3
6*6 - 5*0 = 36 ⇒⇒ 36 = 36
6*3 + 2*0 = 18 ⇒⇒ 18 = 18
Which figure has at least one line of symmetry?
Answer:
the second green shape because the first one is a rectangle which has 2 equal sides
Answer:
the third orange one
Step-by-step explanation:
i have the same question and these 2 show up as answers on both so it has to be this one
Please please help need today
Answer:
you need to zoom in i cant see plz :)
Step-by-step explanation:
Josh buys candy that costs $8 per pound. He will spend at most $88 on candy. What are the possible numbers of pounds he will buy?
Answer:
11 pounds
Step-by-step explanation:
You would do 88 divided by 8 to get 11
I really need help or I’m gonna fail the semester
At the movie theatre, they give out a free drink to every 75th customer and a free bag of popcorn to every 30th customer. On Monday 3,000 customers came to the theatre. How many people received both free item
Answer:
20 people
Step-by-step explanation:
At the movie theater, they give out a free drink to every 75th customer and a free bag of popcorn to every 30th customer.
On Monday, 3,000 customers came to the theater.
To find the number of people who got both free items, we will calculate the Least Common Multiple (LCM) of 30 and 75.
LCM of 30, 75
= 5 × 3 × 5 × 2
= 150
Each 150th customer will receive both free items.
Total number of people who receive both free items = 3000 ÷ 150
= 20 people
On Monday 20 people will receive both free items.
Given f(x) = x − 7 and g(x) = x2 .
Find g(f(4)).
Answer:
9
Step-by-step explanation:
f(x) = x − 7 and g(x) = x^2
g(f(4))
First find f(4)
f(4) = 4-7 = -3
Then put this result in g(x)
g(-3) = (-3) ^2 = 9
g(f(4) = 9
g(f(4)) =9.
Answer:
Solution given;
(x) = x − 7 and g(x) = x2 .
now
g(f(4))=g(4-7)=g(-3)=(-3)²=9
HELP PLEASE WILL MARK BRAINLIEST ITS END BEHAVIOR OF A GRAPH
Find the first two expressions in the sequence _, _, 4x+5, 5x+7, 6x+9, 7x+11, 8x+13...
Answer:
First term: 2x+1
Second term: 3x+3
Step-by-step explanation:
The coefficient of x is going up by 1 time each time while the constant term is going up by 2.
We are looking at these two questions basically:
1) What are the first two terms in?
_,_,4,5,6,7,8
2) What are the first two terms in?
_,_,5,7,9,11,13
Answers:
1) Since the sequence is going up by 1 reading left to right, then right to left it's going down by 1.
So before 4, we have 3.
Before 3, we have 2.
The sequence for the coefficient of x is 2,3,4,5,6,7,8
2) Since the sequence is going up by 2 from left to right, then it's going down by 2 reading right to left.
So before 5, we have 3.
Before 3, we have 1.
The sequence for the constant term is 1,3,5,7,9,11,13.
So first two terms of the sequence in ascending order according to the sequence is:
2x+1
3x+3
A certain electronics manufacturer found that the average cost C to produce x DVD/Blu- ray players can be found using the equation C = 0.04 x 2 − 5 x + 900 . What is the minimum average cost per machine and how many DVD/Blu-ray players should be built in order to acheive that minimum?
The minimum average cost is ?
The number of DVD/Blu-ray players that should be build to acheive the minimum is?
Answer:
Minimum average cost = 743.75
Number of dvds to achieve the cost = 62.5
Step-by-step explanation:
Given the cost equation
C = 0.04x² − 5x + 900
To Obtian the minimum average cost ;
Find dc/dx = 0
Diffentiate cost, c it ith respect to x
dc/dx = 2(0.04x) - 5
dc/dx = 0.08x - 5 = 0
0.08x = 5
x = 5 / 0.08
x = 62.5
Substitute the value of x into C to obtain the minimum average cost
C = 0.04(62.5)² - 5(62.5) + 900
C = 743.75
PLEASE HELP! I REALLY NEED IT
Answer:
i think its like this:
Step-by-step explanation:
What is Associative property mean?
hey besties, I need help
Answer:
C
Step-by-step explanation:
[tex]\frac{2}{3} (x + 2) - \frac{1}{3} (x - 2)[/tex]
First, multiply [tex]\frac{2}{3}[/tex] to [tex](x + 2)[/tex] , then [tex]\frac{1}{3}[/tex] to [tex](x - 2)[/tex], after you have done that, you would get an equation looking like this[tex]\\[/tex]:
[tex]\frac{2}{3} x + \frac{4}{3} - \frac{1}{3}x - \frac{2}{3}[/tex]
Next, add and/or subtract the fractions with the variables together and the ones without together, and that is how you get to your final answer
[tex]\frac{1}{3}x + \frac{2}{3}[/tex]
