April took out a $600 loan from the bank.At the end of 5 years, she pays back the principle,plus $60 simple interest.What was the annual interest rate?
Answer:
April took out a loan of $600 and paid it back with simple interest of $60 after 5 years. The formula to calculate interest is given the principal and the time and the interest rate is . For this problem we have to find the interest rate given . To archive that , we can just solve the equation making the interest rate the subject of the formula as shown below,
I= Prt
=> r= I/Pt
=> r= 60/600x5 = 1/50
The interest rate is 1/50 or 0.02 as a decimal. The interest rate is 2% as a percentage.
The tables represent the functions f(x) and g(x).
Which input value produces the same output value for the two functions?
x = –12
x = –9
x = –6
x = –3
Answer:
x = -6 has the same output for both functions
Step-by-step explanation:
Here, we want to get the x value that has the same y-value for both functions
We can simply get this by substituting
Let’s take it one after the other
if x = -12
f(x) = 2/3(-12) + 7
= -8 + 7 = -1
2(-12) + 15 = -9
This is incorrect
for x = -9
g(x) = 2/3(-9) + 7
= -6 + 7 = 1
f(x) = 2(-9) + 15 = -3
for x = -6
g(x) = 2/3(-6) + 7 = 3
f(x) = 2(-6) + 15 = 3
So as we can see our answer is x = -6
find the value of trignometric function:
cos 2pie÷3
cos (-450°) fast please
Step-by-step explanation:
cos2π/3 = -cosπ/3 = -0.5.
cos(-450°) = cos450° = cos90° = 0.
Can the sides of a triangle have lengths 2, 7, and 10?
Yes or No
Answer:
No
Step-by-step explanation:
2+7 must be larger than the other side
Graph the equation y=2x+1
Answer:
hope it helps
Step-by-step explanation:
What will be the output of this program? EXTRA POINTS!!!
(No Absurd Answers PLZ)
number = 5
less_than_zero = number < 0
if less_than_zero:
print(number)
number = number-10
less_than_zero = number < 0
if less_than_zero:
print(number)
A. 5
5
B. -5
C. 5
-5
D. Nothing will print
Answer:
Translated below: Answer is B.
Step-by-step explanation:
1. Set number to 5.
2. Check if it is less than 0.
3. It is not. Nothing is printed.
4. Change number to -5.
5. Check if it is less than 0. It is.
6. Print the number.
The output will just be -5.
B.
Write the power set of the set A={a,b,c}
Answer:
P(A) = {{a},{b},{c},{a,b},{a,c},{b,c},{a,b,c},∅}
Step-by-step explanation:
➨ Power Set is the set of all subsets.
First, find the subset of A.
{a},{b},{c},{a,b},{a,c},{b,c},{a,b,c},∅
If you aren't sure that you already have written all subsets or not, use the following formula.
[tex]2^n[/tex] ➩ where n is the number of element/members.
Our number of members are 3, use the following formula.
[tex]2^3=8[/tex]
Thus, our subsets should be 8.
As we've already gathered all subsets, write the braces all whole subsets.
P(A) = {{a},{b},{c},{a,b},{a,c},{b,c},{a,b,c},∅}
True or False: The following relation is a function.
{(2,4), (3, 1), (- 3,2), (0,0), (1, 0), (0,4)}
O A. True
B. False
Answer:
false
Step-by-step explanation:
Please hurryy
Find the slope of a line that goes through these two points: (4, -7) and (3,
-8)
Answer:
1
Step-by-step explanation:
Identify the like terms that can be combined in the following equation: 2 + 86-10 = 15
Answer:
THANKS FOR FREE POINTS DIS WHAT U GET FOR NOT ANSWER ME VYUdgwhsvnDHgvahenihfdz yhulsermiv8 huykdbearut5k b54rhf
Step-by-step explanation:
vnehfbyidgehf8j8fvhy7ui6utfadgsjbhnejmfrggehf8j8fvhy7ui6utfadgsjbhnejmfrggehf8j8fvhy7ui6utfadgsjbhnejmfrggehf8j8fvhy7ui6utfadgsjbhnejmfrggehf8j8fvhy7ui6utfadgsjbhnejmfrggehf8j8fvhy7ui6utfadgsjbhnejmfrggehf8j8fvhy7ui6utfadgsjbhnejmfrggehf8j8fvhy7ui6utfadgsjbhnejmfrggehf8j8fvhy7ui6utfadgsjbhnejmfrggehf8j8fvhy7ui6utfadgsjbhnejmfrggehf8j8fvhy7ui6utfadgsjbhnejmfrggehf8j8fvhy7ui6utfadgsjbhnejmfrggehf8j8fvhy7ui6utfadgsjbhnejmfrggehf8j8fvhy7ui6utfadgsjbhnejmfrggehf8j8fvhy7ui6utfadgsjbhnejmfrggehf8j8fvhy7ui6utfadgsjbhnejmfrg
1. If an item is discounted 20%, the sale price is what percent of the original price?
2. If the original price of the item is $400, what is the dollar amount of the discount?
3. How much is the sales price?
Answer:
1. it would be 80% of the original price
2.400×.20=$80
80 dollars would be the amount you would discount from the original price.
3.the sales price is $320
400-80=320
Step-by-step explanation:
Hope this helped :)
also hi!
Simplify this equation:
-4(c+2d)-2(3c-4d)
Answer:
-10c
Step-by-step explanation:
-4(c+2d)-2(3c-4d) = (-4c-8d) + (-6c+8d)
Multiply (-4) to both terms in the first bracket and multiply (-2) to both terms in the second bracket.
(-4c-8d) + (-6c+8d) = -4c-8d-6c+8d
Evaluate like terms.
-4c-8d-6c+8d = -10c
a canon launches a cannon ball vertically with an initial speed 30.m/s find; the maximum height
Answer:
45.9183 as the maximum height ............
Step-by-step explanation:
max height=v²/2g
=900/19.6
=45.9183 ................
Miguel Cabrera had a batting average of 0.33 last season.Mike trout had a batting average of 0.326 during the same season. Who had the higher batting average
Answer:
Miguel cabrera
Step-by-step explanation:
Given that :
Miguel cabrera's batting average = 0.33
Mike trout's batting average = 0.326
The average for both players was obtained during the same season:
Hence. Comparing their respective averages,
0.33 = 0.330
0.330 > 0.326
Hence, Miguel Cabrera's batting average is higher than that of Mike trout
11. The chance of a woman getting breast cancer in her lifetime is 1 out of 8. At this rate, how many
women in classroom of 32 women would be expected to come down with breast cancer in her lifetime?
Answer:4
Step-by-step explanation:8x4=32
Since it is 1 out of 8, 32/8=4
Please help polynomial stuff
Write this percentage as a fraction in its simplest form.
24%
Answer:
6/25
Step-by-step explanation:
24/100=12/50=6/25
Answer:
[tex]\huge\boxed{\sf \frac{6}{25} }[/tex]
Step-by-step explanation:
[tex]\sf = 24 \%\\\\\% \ means \ out \ of \ 100\\\\= \frac{24}{100}\\\\= \frac{12}{50} \\\\= \frac{6}{25} \\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AnonymousHelper1807Helppp!!!!me mark u brainly
Answer:
D. Jacob rode a 45-kilometer race in 3 hours.
Step-by-step explanation:
1h = 15km
A. : 30m = [tex]\frac{30}{60}[/tex] × 15km
= 7.5km (not 2km)
B. : 15m = [tex]\frac{15}{60}[/tex] × 15km
= 3.75km (not 4km)
C. : 5h = 5 × 15km
= 75km (not 20km)
D. : 3h = 3 × 15km
= 45km (Yep, 45km)
I need help solving 10 ! Please
8/-1=-1/-1
=-8
the answer is -8
Maria takes 2 hours to plant 50 flower bulbs. Lois takes 3 hours to plant 45 flower bulbs. Working together, how long should it take them to plant 150 bulbs?
Answer:
Maria: (50 bulbs)/(2 hours) = 25 bulbs/hour
Lois: (45 bulbs)/(3 hours) = 15 bulbs/hour
Together: 25 + 15 = 40 bulbs/hour
(150 bulbs)/(40 bulbs per hour) = 3 3/4 hours
(3/4 hours)(60 minutes/hour) = 45 minutes
Total time: 3 hours 45 minutes
84192÷67÷2?por favor no tengo ni idea
Answer:
628.298507463
Step-by-step explanation:
Answer:
628.298507463
brainliest? XD
Given g[x]=4-2[3-x] , what is the value of g[1]
Answer:
g(1)=0
Step-by-step explanation:
g(1)=4-2(3-1)
g(1)=4-2(2)
g(1)=4-4
g(1)=0
1. Which of these can be written as an equation?
Answer:
4×w+3 is the correct answer
Step-by-step explanation:
Dont need one
if lines intersect, does that make it, one solution, no solution, or infinite solution?
Answer:
one solution
Step-by-step explanation:
No solution is when they don't intersect at all. Infinite solutions is if the two lines are on top of each other.
Answer:
one solution
Step-by-step explanation:
if they intersect, they become one solution, if they don't intersect, than there are no solutions. If the graphs of the equations are the same, there are infinite solutions.
question is attached!
4.4 + [4 × 1/4 + 8.6]
Answer:
14
Step-by-step explanation:
Explain how solving -7y > 161 is different from solving 7y > -161.
Answer: its different because when you add a negative sign to an answer it is valued less then a answer without the negative sign
Answer:
You use the division property of inequality to isolate the variable for both inequalities. You need to reverse the direction of the inequality symbol when dividing both sides by a negative number.
Step-by-step explanation:
edge
Olivia is making model cars to go on shelves in her room. The number of wheels she uses is a function of how many cars she makes: if she makes 1 car, she uses 4 wheels; if she makes 2 cars, she uses 8 wheels; if she makes 3 cars, she uses 12 wheels; and so on. She has exactly 28 wheels she can use to make cars. What is the domain and range for the function?
Answer:
Domain = 1 to 7
Range = 4 to 28
Step-by-step explanation:
Given that:
Number of wheels used is a function of number of cars manufactured.
Number of wheels present = 28
1 car uses 4 wheels
2 cars use 8 wheels.
3 car uses 12 wheels
and so on.
Let the function be of the form:
[tex]y =f(x)[/tex]
Domain of the function is the value of [tex]x[/tex] that can be given as valid input to the function.
Range of the function is the value of [tex]y[/tex] that can be output of the function.
Let [tex]x[/tex] be the number of cars manufactured.
Then value of [tex]y[/tex] is nothing but [tex]x[/tex] times 4.
[tex]y=4x[/tex]
We are given that maximum value of [tex]y[/tex] can be 28.
[tex]28 = 4x\\\Rightarrow x =7[/tex]
Therefore, maximum value of input can be 7.
Minimum number of wheels can be 4 to make a minimum of 1 car.
Therefore domain is 4 to 28 and range is 1 to 7.
Giving 40 points PLEASE help ASAP The ratio of the number of teachers to students in a school is 3:35. The ratio of male students to the number of female
students is 2:5. There are 500 female students. How many teachers are there?
In the box, type the answer and tell how you found it. You may also do your work on a separate sheet of paper and upload it
in the box below.
Answer: 500 female students. 2:5 ratio for males means 200 male students. 500 female plus 200 male equals 700 students total. There are three teachers for every 35 students, so 700/35 multiplied by three equals 60 teachers.
Jeanna is making holiday cupcakes for her family. She typically makes 2 dozen red velvet and 3 dozen gingerbread spice cake. Since everyone is staying home for the holiday, she needs to increase this standard amount by 3 to have enough to send to family and friends far and wide. How many dozens of cupcakes will Jeanna need to make?
Answer:
15 dozens of cakes
Step-by-step explanation:
It is given that Jeanna is making cupcakes for her family and she normally makes 2 dozens of red velvet cakes and 3 dozens of gingerbread spice cakes. But as everybody is staying at home, Jeanna wants to increase the standard amount by 3 for enough cakes.
So,
2 dozens of velvet cakes, i.e.
2 x 12 = 24 red velvet cakes
Increasing this amount by 3 times will give us 24 x 3 = 72 red velvet cakes.
Similarly,
3 dozens of gingerbread spice cakes, i.e.
3 x 12 = 36 gingerbread spice cakes
Increasing this amount by 3 times will give us 36 x 3 = 108 gingerbread spice cakes.
Therefore the total number of cakes is = 72 + 108
= 180 cakes.
We know 1 dozen = 12
Therefore dividing 180 cakes by 12, we get
[tex]$=\frac{180}{12}$[/tex]
= 15 dozen cakes.
Therefore, now Jeanna will have to make 15 dozens of cupcakes for all.