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.
A ceramic vase was originally priced at $100 but went on sale for 50% off. If Ernesto bought the ceramic vase and paid 12% sales tax, how much did he pay in total?
Ernesto bought the ceramic vase for $56 including 12% tax.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, A ceramic vase was originally priced at $100 but went on sale for 50% off.
∴ The discounted price is (50/100)×100 = $50.
Now after Ernesto bought the ceramic vase he had to pay a tax of 12%.
∴ {(100 + 12)/100}×50.
= (112/100)×50.
= 56.
So he paid $56 including 12% tax.
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What type of sequence is this? *
9, 14, 19, 24, 29, ..
Answer:
an arithmetic sequence
Step-by-step explanation:
I think it's because it adds 5 each time and in arithmetic sequences there's a common difference, so it'd be an arithmetic sequence :)
Can a triangle be made using the side lengths of 5, 10, 2?
a
Yes
b
No, the sum of the shortest sides measures less than the longest side.
c
No, the sum of the shortest sides measures more than the longest side.
Answer:
The answer is C. No, the sum of...
I NEED HELP ASAP HELP HELP HELP....
According to the line plot, what is the total amount of time spent studying by the students who studied for 1/2 of an hour each?
Answer:
2.5hrs
Step-by-step explanation:
An expression is shown below:
2x3y + 8xy − 4x2y − 16y
Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)
Part B: Factor the entire expression completely. Show the steps of your work. (6 points)
Plz help, give good answer and get brainlest!!
Answer:
Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)
answer:
2y(x³+4x-2x²-8)
Part B: Factor the entire expression completely. Show the steps of your work. (6 points)
answer:
2y(x³+4x-2x²-8)
2y(x³-2x²+4x-8)
2y(x²(x-2)+4(x-2))
2y(x²+4)(x-2)
Mr. Newman owns a sporting good store. He got a shipment of 49 baseball bats. 21 of them were wooden bats, and the rest were aluminum. What fraction of the bats were wooden?
Fill in the answer in simplest form.
Answer:
3/7
Step-by-step explanation:
The sum of 10 and hans savings is 49. Use the variable h to represent Hans savings.
Answer:
39 I believe. The question is a little confusing.
Step-by-step explanation:
49-10=h 39=h
Not sure if this is what you want the question is worded weirdly.
Country A has an exponential growth rate of 4.6% per year. The population is currently 5,849,000, and the land area of Country A is 38,000,000,000 square yards. Assuming this growth rate continues and is exponential, after how long will there be one person for every square yard of land?
Answer:
195.205998 years
Step-by-step explanation:
P=P0(1.046)^t P=future population P0=initial population t=years passed
38,000,000,000 = 5,849,000(1.046)^t
1.046^t = 38,000,000,000/5,849,000
1.046^t = 38,000,000/5,849
plug in log on both sides
log 1.046^t = log (38,000,000/5,849)
t[log 1.046] = log (38,000,000/5,849)
t = In (38,000,000/5,849)/ In 1.046
t ≈ 195.205998 (hope this helps)
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
Step-by-step explanation:
Equation: (3x+7) + (10x+17) = 180
*These are consecutive interior angles and they add to 180 degrees
1.) Add like terms
13x + 24 = 180
2.) Subtract 24 from both sides
13x = 156
3.) Divide each side by 13
x = 12
*Substitute x in both expressions to get angle measures
Value of x: 12
3(12)+7 = 36+7 = 43
10(12)+17 = 120+17 = 137
*Check 43+137 = 180
Angle Measures: 1st angle: 43 degrees
2nd angle = 137 degrees
Obtain the general solution:
(x-y)(4x+y)dx + x(5x-y)dy = 0
Answer:
y=2x
y=-x
d=0
Step-by-step explanation:
sorry iam not sure i just tray to help
NEED ANSWER ASAP WILL GIVE BRAINLIEST FOR CORRECT ANSWER
Answer:
y = 470 - 50x
Step-by-step explanation:
Total distance minus the distance covered in n number of hours if the speed is 50 mph.
How to simplify this expression?
(12^15+12^30-12^49)/(-12^28+12^47-(144^6)/12)
Express the answer as 12^?.
Hint: You have to factor 12^? from the top or bottom so that the expression becomes x/(12^?)(x) or (12^?)(x)/x. Then the x should cancel out, and you get 12^? as the answer.
Thanks!!
Answer:
[tex]12^-^2[/tex]
Step-by-step explanation:
I hope this helps.
What transformation has changed the parent function f(x) = (.5)* to its new
appearance shown in the graph below? (1 point)
Answer:
Vertical compression by a factor of ¼Step-by-step explanation:
[Transformed] f(x) = ¼(.5)ˣ
[Original] f(x) = (.5)ˣ
____________________
I determined this transformation by comparing the notable points on the graph.
When x = -2 for the original function f(x), y = 4.
For this transformed graph y = 1 instead of 4.
Therefore y is scaled by ¼, and so that is the vertical compression.
I already know the answer but ima check and see.
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
8x – 12y = -96
Answer:
2/3x+8=y
Step-by-step explanation:
8x-12y=-96
8x+96=12y
8/12x+8=y
2/3x+8=y
The equation 8x – 12y = -96 of a line into slope-intercept form, simplifying all fractions, is 3y = 2x + 24.
What is equation?Two expressions with variables or integers are said to be equal when they are declared to be in an equation. Since equations are essential questions, efforts to methodically find answers to these questions have been the inspiration for the development of mathematics.
Given:
The equation, E = 8x – 12y = -96,
The standard intercept form of a line,
[tex]y = mx + c[/tex]
Here m is the slope,
For this form, arrange the equation,
– 12y = -8x - 96
(Do multiplication of -1/ 4 on both sides)
3y = 2x + 24
Therefore, the equation 8x – 12y = -96 of a line into slope-intercept form, simplifying all fractions is 3y = 2x + 24.
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what is the domain of this exponential function , y=7^x
Answer: hope this helps
Step-by-step explanation:
Answer:
Hope this helped!!!
Step-by-step explanation:
Help please due in 45 minutes!!
Answer:
x=4, y=5
Step-by-step explanation:
Download photo math and take a picture of it
Plz help well mark brainliest if you are correct!
Answer:
12 centimenters.
Step-by-step explanation:
Answer:
6 cm
Step-by-step explanation:
We need to find the distance from R to s which is basically the radius, we know radius is r=d/2 to 12/2 (since 12 is diameter) is 6.
what is the distance between the points (-7,3) and (4,-5)
Answer:
The distance is 185 between the points (-7,3) and (4,-5)
Step-by-step explanation:
Answer:
Hi! The answer to your question is [tex]\sqrt{185}[/tex]
Step-by-step explanation:
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Hope this helps!!
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the price per gallon of gas with a $7 car wash is $3.19 and the price without the car wash is $3.39. When is it worth it to buy the car wash? When is it worth it if the car wash costs $2?
Answer:
The price per gallon of gas with a $7 car wash is $3.19
Then if you purchase x gallons of gas and also pay for the car wash, the total cost is:
C(x) = $7 + $3.19*x
In the case that you do not pay for the car wash, the cost per gallon is $3.39
Then the cost for x gallons of gas in this case is:
K(x) = $3.39*x
When is it worth it to buy the car wash?
We need to sett the equations:
C(x) = K(x)
This means that you pay exactly the same in both cases, but in one ( C(x)) you get the car wash and in the other not.
Then we need to solve:
$7 + $3.19*x = $3.39*x
$7 = ($3.39 - $3.19)*x = $0.20*x
$7/$0.20 = x = 35
Then for 35 gallons, is worth to buy the car wash.
In the case where the car wash costs $2, then the equation C(x) becomes:
C(x) = $2 + $3.19*x
Then if we solve the same equation:
C(x) =K(x)
$2 + $3.19*x = $3.39*x
$2 = ($3.39 - $3.19)*x
$2 = $0.20*x
$2/$0.20 = x
10 = x
Then for 10 galons is whort buy the car wash.
PLEASE HELP
BRAINLIEST
NO FILE HOSTING LINKS!!
Answer each part. If necessary, round your answers to the nearest hundredth.
Answer:
a) 11/7 pages or about 1.57
b) 23/11 dollars or 2.09090909....... (goes on forever)
BRAINLIEST PLS
Please help me thanks!
Answer:
3rd Option[tex] \frac{6}{17} [/tex]
Step-by-step explanation:
Given,
No. of blue marbles = 6
No. of green marbles = 6
No. of red marbles = 5
So,
Total no. of marbles = 6+6+5 = 17
Therefore,
Probability of not getting blue marbles
[tex] = \frac{6}{17} [/tex]
Hence,
3rd option is correct.
A television screen is 7 inches tall and 10 inches wide. What is its area?
Answer:
70 inches^2
Step-by-step explanation:
7x10=70
PLEASE HELP IMMEDIATELY!!
Answer:
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Step-by-step e.xplanati:kljkjk
How many pairs of opposite sides are parallel? no pairs 1 pair 2 pairs
Answer:
1 pair
Step-by-step explanation:
The top and bottom sides can go forever without crossing
Answer:
1
Step-by-step explanation: because the top and bottom a pair
15 PTS!!! HELP IMMEATLEY
Aaron is designing a party game in which he needs exactly 24 possible outcomes. Which sets of actions can he use to have a statistically fair game?
Randomly select an odd digit {1, 3, 5, 7, 9}, then flip a coin twice.
Randomly select a number from 1 to 16, then roll an 8-sided number cube with the digits 1 to 8.
Spin this and roll an 8-sided number cube with the digits 1 to 8.
Select a card from a set of cards with the letters A through N, then spin this once.
Select a card from a set of cards with the letters A through D, then spin this once.
Toss a coin twice, then roll a 6-sided number cube with the digits 1 to 6.
Answer:
Select a card from a set of cards with the letters A through D, then spin this once.
Spin this and roll an 8-sided number cube with the digits 1 to 8.
The given graph represents the function f(x) = 2(5)^x
[tex]f(x) = 2( {5})^{x} [/tex]
How will the appearance of the graph change if the a value in the function is decreased, but remains greater than 0
a) the graph will increase at a slower rate
b) the graph will show a decreasing, rather than increasing, function
c) the graph will show an initial value that is lower on the y-axis
d) the graph will increase at a constant additive rate, rather than a multiplicative rate
Answer:
C
Step-by-step explanation:
in exponential equations f(x)=ab^x , a is the intial amount while b is the growth factor. you are just decreasing a so the intial value is lower (=^w^=)
Answer:
Step-by-step explanation:C
How many DVDs would they each have if they continued the same pattern for ten ADDITIONAL weeks.
Answer:
figure it out
Step-by-step explanation:
rewarding 20 points pls help.
Which ordered pair is a solution of y = x+4
A.(0,0)
B.(5,54)
C.(7,28)
D.(9,13)
same thing as last. nearest 100th
Answer:
452.39 mi^2
Step-by-step explanation:
A = πr^2
A = π (12mi)^2
A = 452.39 mi^2
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