Answer:
smallest: 1059
largest: 9510
Write an exponential function for the graph that passes through the points (0,4) and (2, 36). Use the formula y=ab^x
Answer:
Using the equation y = abx , substitute both of your given points into that equation.
2 = ab2 and 4 = ab3 Solve each equation for a.
2⁄b2 and 4⁄b3 = a Therefore, 2⁄b2 = 4⁄b3
Cross multiply: 2b3 = 4b2 Divide both sides by b2
2b = 4 a = 2/4 = 1/2
b = 2
y = 1 (2)x
2
Step-by-step explanation:
1. Suppose your credit card has a balance of $4200 and an annual interest rate of 18%. You
decide to pay off the balance over two years. If there are no further purchases charged to
the card
a. How much must you pay each month?
b. How much total interest will you pay?
a. I will payoff about $243 and 67 cents each month.
b. I will pay a total interest of 39.24%.
How do credit card payoffs work?
They work on the principle of compound interest.
After one year, I have to pay $(4200*18)/100 =$756 extra
which means my principle amount for second year will be 4200+756=4956$
After second year, I have to pay $(4956*18)/100=$892.08 extra
Total payoff at the end of second year=$4200+$756+$892.08=$5848.08
Therefore, each month I need to pay (5848.08/24)=$243.67
To calculate the interest:
Interest= (Total amount payoff - initial balance)*100/initial balance
=(5848.08-4200)*100/4200
=39.24%
To solve more such questions refer:
https://brainly.com/question/3576083
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n a study to investigate whether vitamin C will prevent colds, 400 subjects are assigned at random to one of two groups. The experimental group takes a vitamin C tablet daily, while the control group takes a placebo. At the end of the experiment, the researchers calculate the difference between the percentage of subjects in the two groups who were free of colds. This difference is statistically significant (P=0.03) in favor of the vitamin C group.
Answer:
Step-by-step explanation:
The aim of this question is to see if we can infer and conclude that vitamin C has a good impact in preventing colds based on the evidence provided.
Null hypothesis: Vitamin C has no effect on preventing colds.
Alternative hypothesis: Vitamin C has a strong effect on preventing colds.
Assuming, significance level = 0.05
Since the p-value for the difference is 0.03 which is less than 0.05.
Hence, the null hypothesis is rejected (which is there is no effect of vitamin C).
As a result, it can be concluded that Vitamin C has a major impact on the prevention of colds.
What is the volume of a sphere with a diameter of 22ft? Round your answer to the nearest cubic foot.
8359 cubic feet
6193 cubic feet
• 2786 cubic feet
5572 cubic feet
Answer:
D) 5,572
Step-by-step explanation:
4/3×pi×r^3
4/3×3.14×11^3
5572.453...
5572
Use the information in the figure to determine the height of the pole.
(x + 5)^2 + (x/2 + 6)^2 = (30)^2
Take it from here.
Answer:
pole height = 29 ft
Step-by-step explanation:
x² = 30² - (1/2x + 6)² = 30² - (1/4x² + 6x + 36) = 900 - 1/4x² - 6x - 36
combine like terms:
x² = -1/4x² - 6x + 864
1 1/4x² + 6x - 864 = 0
divide both sides of the equation by 1 1/4:
x² + 4.8x - 691.2 = 0
(x - 24)(x + 28.8) = 0
x = 24 ft
pole height = 24 + 5 = 29 ft
A circular grade has a circumference of 38 yards .Lars is digging a straight line along the diameter of the garden at a rate of 3 yards.How many hours will it take to dig acceso the garden?
Answer:
It will take 4 hours to dig access to the garden.
Step-by-step explanation:
Given that a circular grade has a circumference of 38 yards, and Lars is digging a straight line along the diameter of the garden at a rate of 3 yards, to determine how many hours it will take to dig access to the garden, the following calculation, knowing that the diameter of a circle is equal to the circumference divided by π:
38 / π = X
38 / 3.14 = X
12.09 = X
12.09 / 3 = 4.03
Therefore, it will take 4 hours to dig access to the garden.
A bag contains 5 apples, 4 peaches, and 3 oranges. What is the probability of choosing an apple?
26. Maria reads 40 pages of her novel in 4 hours At that rate, how many pages would she read in 5 hours?
Answer:
(40/4) x 5 = 50 pages
Step-by-step explanation:
Answer:
50 pages
Step-by-step explanation:
You would have to cross multiply, 40/4 = x/5.
Then, you would get 200 = 4x.
Finally, you would have to divide both sides by 4 to get x by itself and you would get your final answer, x = 50. ( Where x equals the pages read in hour 5.)
Hope this helped you out!!
someone please help me answer this!!
Answer:
c = 85 in is the answer.
Step-by-step explanation:
a = 36 in
b = 77 in
c = ?
According to the Pythagoras theorem,
a² + b² = c²
36² + 77² = c²
1296 + 5929 = c²
7225 = c²
c = 85 in
∴ c = 85 in is the length of the missing leg.
A loan of $16,840 is borrowed at 9% simple interest and is repaid with $4,167.90 interest. What is the duration of the loan?
9514 1404 393
Answer:
2 3/4 years
Step-by-step explanation:
The interest is given by the formula ...
I = Prt . . . . . . principal P at annual rate r for t years
Solving for t gives ...
t = I/(Pr)
t = 4167.90/(16840×0.09) = 2.75
The duration of the loan is 2 3/4 years.
Convert r=2/7sinθ−cosθ to rectangular form.
Enter your answer in slope-intercept form by filling in the blanks. Enter values so that fractions are simplified.
y=_/_x + _/_
Answer:
x²+y²=√(2/7 x-y)
is the answer, i think
can i please have some actual help with this?
Answer:
x = 286.01 inches
Step-by-step explanation:
Given that,
Height of the ramp, H = 20 inches
Angle of elevation, [tex]\theta=4^{\circ}[/tex]
We need to find the value of x. It can be solved using trigonometry as follow :
[tex]\tan\theta=\dfrac{P}{B}[/tex]
Where
P is perpendicular and B is base
So,
[tex]\tan(4)=\dfrac{20}{x}\\\\x=\dfrac{20}{\tan(4)}\\\\x=286.01\ in[/tex]
So, the value of x is equal to 286.01 inches.
The price of an item has been reduced by 45%. The original price was $63.
Use the ALEKS calculator to find the price of the item now.
se]
?
Answer:
$28.35
Step-by-step explanation:
[tex]45\% \times 63 \\ = 0.45 \times 63 \\ = 28.35[/tex]
HELP ME PLZ
Which of the following situations could be solved by using the inequality 1 point shown below? * 9 + 1.25x > 14 +0.75x F. Park A charges an entrance fee of $9 plus $1.25 per ride. Park B charges $14 per ride and an entrance fee of $0.75. After how many rides will the total charge at Park A cost more than Park B? G. Danny finishes 1.25 homework problems every 9 minutes. Katie finishes 0.75 homework problems every 14 minutes. After how many minutes will Danny have completed more of his homework than Katie? H. Jake has $9 and spends $1.25 each day. Finn has $14 and spends $0.75 each day. After how many days will Jake have more money than Finn? J. Essence has run 9 miles and she runs 1.25 additional miles each day. Asia has run 14 miles and she runs 0.75 additional miles each day. After how many days will Essence have run more total miles than Asia?
Answer: Essence has run 9 miles and she runs 1.25 additional miles each day. Asia has run 14 miles and she runs 0.75 additional miles each day. After how many days will Essence have run more total miles than Asia
Step-by-step explanation:
PLEASE HELP!!! Needed asappp!
Step-by-step explanation:
Add the corresponding sides of the two equations
1.
2x=6
x=3
substitute for x
3+y=-1
y=-4
4.
5x=10
x=2
substitute for x
2(2)+2y=-2
2y=-6
y=-3
5.
12y=24
y=2
substitute for y
6x+5(2)=4
6x+10=4
x=-6
x=-1
Answer:
Q3. x = 3, y = -4
Q4. x = 2, y = -3
Q5. x = -1, y = 2
Step-by-step explanation:
Since the question is asking us to solve the system using elimination/adding, that's what I'll do.
To solve by adding, we add the like terms of both equations together.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
1st question:
x + y = -1
x - y = 7
We add the first term together.
x + x = 2x
Then the second term.
y + -y = y - y = 0
Then the last term.
-1 + 7 = 6
Which becomes:
2x = 6
Then we solve the linear equation.
2x = 6
÷ 2 ÷ 2
x = 3
From the x value, we can then find y.
We can use either equation. In this example, I'll choose the first one.
x + y = -1
Substitute x = 3
3 + y = -1
-3 -3
y = -4
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
2nd question:
2x + 2y = -2
3x - 2y = 12
We add the first term together.
2x + 3x = 5x
Then the second term.
2y + - 2y = 2y - 2y = 0
Then the last term.
-2 + 12 = 10
Which becomes:
5x = 10
Then we solve the linear equation.
5x = 10
÷5 ÷5
x = 2
From the x value, we can then find y.
We can use either equation. In this example, I'll choose the first one.
2x + 2y = -2
Substitute x = 2
4 + 2y = -2
-4 -4
2y = -6
÷2 ÷2
y = -3
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
3rd question:
6x + 5y = 4
-6x + 7y = 20
We add the first term together.
6x + -6x = 6x - 6x = 0
Then the second term.
5y + 7y = 12y
Then the last term.
4 + 20 = 24
Which becomes:
12y = 24
Then we solve the linear equation.
12y = 24
÷12 ÷12
y = 2
From the x value, we can then find y.
We can use either equation. In this example, I'll choose the first one.
6x + 5y = 4
Substitute y = 2
6x + 10 = 4
-10 -10
6x = -6
÷6 ÷6
x = -1
Name the ordered pair for point R
Can you post a picture please
The ratio 2/8 could represent which of the following?
A) 8 parts that are one fourth each
B) 4 parts that are one-half each
C) 2parts that are one eighth each
D) 2 parts that are one fourth each
Answer:
C) 2parts that are one eight each.
Step-by-step explanation:
The reason I chose C) as the correct answer is becasue I evaluated it with the steps below.
A) - 8 parts that are one fourth each.
This cannot be correct because it would surpase the 2/8ths (would be over).
B) - 4 parts that are one-half each.
This cannot be correct because it would surpass the 2/8ths (would be over).
C) - 2parts that are one eight each.
This can be correct because 2 parts have 1/8th. 1/8 + 1/8 = 2/8.
D) - 2parts that are one fourth each.
This cannot be correct because the denominator is not 8, it is 4 meaning it wouldn't fit into the format the question asked for (which was 2/8).
This makes the correct answer C).
I hope this helps you understand and helps you in your question.
Since everyone is in the math side of Brainly, i will just get attention here.
Can someone please help me? Im desperate ://
I have a question nobody is answering yet in the geography side of Brainly. Please find my acc and help me.
I n e e d this, thank you ://
Answer:
yes sir/ma'am omw
Step-by-step explanation:
have a great evening
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer: #1 is the answer. Alternate exterior angles are the pair of angles that lie on the outer side of the two parallel lines but on either side of the transversal line. Notice how the pairs of alternating exterior angles lie on opposite sides of the transversal but outside the two parallel lines.
Step-by-step explanation: Parallel Lines: Definition: We say that two lines (on the same plane) are parallel to each other if they never intersect each other, ragardless of how far they are extended on either side. Pictorially, parallel lines run along each other like the tracks of a train.
a gardener is growing tomato plants. one plant starts out 5 cm tall. it grows a constant 2 cm every week. what equation represents the height h of the plant after t weeks
a t= 5h+2
b t= 2h+5
c h=5t + 2
d h = 2t+5
Answer:
D) h=2t+5
Step-by-step explanation:
You save $25 each week. How long will it take to save $1000?
Answer:
40 weeks
Step-by-step explanation:
1000 divided by 25=40
Can a right triangle have a leg that is 10inches long and a hypotenuse that is also 10inches long? Why or why not? Explain your reasoning
Answer:
No, the smallest ratio between a hypotenuse and a leg is in the 45/45/90 special case. In this case, the ratio between the hypotenuse and either legs is
√2:1
If the leg is 10 inches long, the smallest the hypotenuse can be is 10√2.
Julie runs 3 miles each morning. How far does she run in feet?
(1 mile = 5,280 feet)
Answer:
15,840 feet
Step-by-step explanation:
5,280*3 = 15840
Since she runs 3 miles each morning, and 1 mile is 5,280,
then you multiply 5,280*3
Two stacks of quarters are shown. Both stacks have the same amount of quarters.
The statement below uses the Cavlieri's principle to explain why the volumes of these two stacks of
quarters are equal.
the sections made by planes
from their respective bases are always equal, then the
volumes of the two solids are equal.
Which of the following pair of statements can be use to fill in the empty boxes above?
Answer:
in geometry nation its in two solids of equal altitude, parallel to and at the same distance.
Step-by-step explanation:
just got it wrong :(
Answer:
D
Step-by-step explanation:
Please help I’ll mark you as brainliest if correct
Answer:
X=28
Step-by-step explanation:
If x=28 then the degrees of the corners are 26, 84, and 70
Those added together equals 180 degrees, the amount of degrees a triangle is supposed to have.
Answer:
x = 28
Step-by-step explanation:
Okay, so we know that all the angles in a triangle are supposed to add up to 180°, and we already have our 26°, so we can take that off:
180 - 26 = 154
So our two angles add up to 156, so we set up our problem like this:
3x + 2x + 14 = 154
So now we combine like terms:
3x + 2x = 5x
So now our equation is:
5x + 14 = 154
So now we just have to do the inverse operations thing:
154 - 14 = 140
140 ÷ 5 = 28
So, x = 28
if this is wrong, let me know so I can fix it
hope this helps:)
1. Find y if log, y – 2 = log, 92.
Answer:
well, if I use a bit of lateral thinking; if y = 94, the the left hand side [ log(y-2)] simplifies down to log(92) which is the right hand side.
so y = 94
Cami and Enrique's ages add up to 46. Cami is two years older than three times Enrique's age. How old are Cami and Enrique?
answer:
Cami is 35 and Enrique is 11
35 plus 11 = 46
Answer choices
18
25
30
40
Please help no links I will report
Answer:
the 75 person is the 100 percent then 40 is x x=(40 ×100 )÷75x=53 then the nb of people preffar hotdogs ic 53What is the solution to this equation.
4x + 14 = -10 - 4x
Write the number only.
(No x =)
Answer:
Hi! The answer to your question is [tex]-3[/tex]
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
- Brooklynn Deka
solve: x+5 over 3+11= -1
Answer:
-17
Step-by-step explanation:
A linear equation is given and we need to solve out and find the value of x. So ,
⇒ x+5/ 3+11 = -1
⇒ x + 5 = 14 (-1)
⇒ x + 5 = -14
⇒ x = -5-14
⇒ x = -17