Donna borrowed $10,500 at a simple interest rate of 4% for 3 years to buy her new car. How much interest would Donna pay and how much is the car altogether ?
Answer:-Given:-[tex] \bullet [/tex] Principal (P) = $10,500
[tex] \bullet [/tex] Rate of interest (r) = 4%
[tex] \bullet [/tex] Time (t) = 3 years
To Find:-Interest of Donna and amount of car altogether.
Solution:-We know,
[tex] { \boxed{\rm \red {I \: = \frac{Prt}{100}}}} [/tex]
[tex] \therefore [/tex] I = [tex] \frac{10,500 \: × \: 4 \: × \: 3}{100} [/tex]
I = [tex] \frac{126,000}{100} [/tex]
I = $1260
Now,
Amount of the car = $ (10,500 + 1260)
= $ 11,760
$1260 interest would Donna pay and $11,760 is the car altogether. [Answer]Step-by-step explanation:
We know that Interest = Principal×Rate×Time/100
So,
10,500×4×3/100
= 10,500×3/25 (by cancelling 100 by 4)
=31500/25
= 1260
Therefore,
$1260 Answer
hope it helps.....
Given the midpoint and one endpoint of a line segment, find the other endpoint.
Endpoint: (-4,-10), midpoint: (-8,-4)
Answer:
(-12 , 2)
Step-by-step explanation:
GIVEN :-
Co-ordinates of one endpoint = (-4 , -10)Co-ordinates of the midpoint = (-8 , -4)TO FIND :-
Co-ordinates of another endpoint.FACTS TO KNOW BEFORE SOLVING :-
Section Formula :-
Let AB be a line segment where co-ordinates of A = (x¹ , y¹) and co-ordinates of B = (x² , y²). Let P be the midpoint of AB . So , by using section formula , the co-ordinates of P =
[tex](x , y) = (\frac{x^2 + x^1}{2} ,\frac{y^2 + y^1}{2} )[/tex]
PROCEDURE :-
Let the co-ordinates of another endpoint be (x , y)
So ,
[tex](-8 , -4) = (\frac{-4 + x}{2} , \frac{-10 + y}{2} )[/tex]
First , lets solve for x.
[tex]=> \frac{x - 4}{2} = -8[/tex]
[tex]=> x - 4 = -8 \times 2 = -16[/tex]
[tex]=> x = -16 + 4 = -12[/tex]
Now , lets solve for y.
[tex]=> \frac{y - 10}{2} = -4[/tex]
[tex]=> y - 10 = -4 \times 2 = -8[/tex]
[tex]=> y = -8 + 10 = 2[/tex]
∴ The co-ordinates of another endpoint = (-12 , 2)
Please help 13 points geometry!!
1, 140 °
2, 40°
3, 100 °
4, 100°
5, 40°
6, 90 °
7, 120 °
8, 130 °
Step-by-step explanation:
1, BOA IS EQUAL TO FOH = 140°
2, FOE EQUAL TO BOA = BOA = 40° = FOE = 40°
3, BOA° + GOF° =40° + 60° = 100 °
4, GOE = BOC WHICH MEAN GOE = 100° = BOC = 100°
5, COD = HOG =40 °
6, EOD= AOG = 90°
7, AOD = GOE + COD = 100° + 40 ° = 140°
8, BOG = 140 °
The ratio of goats to sheep at a university research farm is 4:7. The number of sheep at the farm is 28. What is the number of goats?
Answer:
16.
Step-by-step explanation:
7×4= 28
since this is a ratio you so the same to the other side
4×4=16
what is the measure of AT in 0 below?
Answer:
97 degrees
Step-by-step explanation:
Answer:
97
Step-by-step explanation:
What are the slope and y-intercept of line r and line s?
Answer:
S y-intercept (0,2)
R y intercept (0,0)
Step-by-step explanation:
1/2y=13
Solve for y.
Answer:
The correct answer is Y = 26
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{\dfrac{1}{2}y = 13}[/tex]
[tex]\large\textsf{MULTIPLY 2 to BOTH SIDES}[/tex]
[tex]\mathsf{2\times\dfrac{1}{2}y=2\times13}[/tex]
[tex]\large\textsf{Cancel out: }\mathsf{2\times\dfrac{1}{2}}\large\textsf{ because that gives you 1}[/tex]
[tex]\large\textsf{Keep: }\mathsf{2\times13}\large\textsf{ because it gives you the value of \bf y}[/tex]
[tex]\mathsf{2\times13=\bf y}[/tex]
[tex]\mathsf{2\times13 = \bf 26}[/tex]
[tex]\boxed{\boxed{\large\text{Answer: \huge \bf y = 26}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Use a factor tree or similar method to write 4400 as a product of
prime factors. Display your factor tree in your answer. If you
choose to use an alternative method, clearly show your working:
just writing down the answer is not sufficient.
Answer:
4,400 = 44 * 100
44 = 2 * 2 * 11
100 = 2 * 2 * 5 * 5
prime factors = 2 * 2 * 2 *2 * 5 * 5 * 11
Step-by-step explanation:
2. Lin and her friends went out for ice cream after school. The following questions came up during their trip. Select all the questions that are statistical questions.
What is the most popular ice cream flavor this week?
Do kids usually prefer a cup or a cone?
What does a group of 4 people typically spend on ice cream at this shop?
How many toppings are there to choose from?
How far are we from the ice cream shop?
Answer:1: The top pick among US adults is a classic: chocolate ice cream. Close to one in five (17%) Americans say this is their favorite flavor. Vanilla (15%) is also a popular choice, coming in ahead of strawberry (8%), mint chocolate chip (8%), butter pecan (8%), chocolate chip cookie dough (6%), and cookies n crème (6%).
2:More than 37 percent of respondents prefer to eat their ice cream in a cup or bowl, followed by 26 percent preferring a cone, 12 percent opting to eat ice cream out of the carton, 11 percent enjoying a sundae, 10 percent choosing a milkshake and 6 percent preferring an ice cream cookie sandwich.
heres 1 and 2
Step-by-step explanation:
Selected statistical questions:
What is the most popular ice cream flavor this week?Do kids usually prefer a cup or a cone?What does a group of 4 people typically spend on ice cream at this shop?How many toppings are there to choose from?What is sample space?The sample space S of a random experiment is defined as the set of all possible outcomes of an experiment. In a random experiment, the outcomes, also known as sample points, are mutually exclusive
The following traits can be used to recognize a statistical query:
It entails gathering or studying data.It cannot be replied to with a straightforward yes or no.It queries dispersion or variability within a population or group of data.It aims to derive broad inferences from data.It provides for a variety of potential solutions or results.Selected statistical questions:
What is the most popular ice cream flavor this week?Do kids usually prefer a cup or a cone?What does a group of 4 people typically spend on ice cream at this shop?How many toppings are there to choose from?Learn more about sample space here:
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Solve for x
eaesfdsdfeasfsef
77
11 X 7 is 77.
if u get two numbers on a shape you just multiply it
if a wind turbine costs 1.3 million per megawatts how much would it cost to build a 2.6 megawatts wind turbine
Answer:
It would cost 3.38 million for 2.6 megawatts.
Step-by-step explanation:
1.3 X 2.6 = 3.38
3.38 million for 2.6 megawatts.
What us the measure of the missing angle?
Answer:
None of them
Step-by-step explanation:
Because 30+135+45 add up to 210 then if you add 30, or 45 degrees it will be more than 180 degrees. If you subtract -15 from 210 you will get 195 which is still not right. So the best answer is none of the above
Hope this helps
$25.00 With a 10% discount. $27.00 With a 20% discount. $26.00 Whit a 15% discount. Witch one is cheaper?
Answer:
i think its $27.00 with a 20% discount
Step-by-step explanation:
$25 with a 10% discount is $22.50, $26 with a 15% discount is $22.10, and $27 with a 20% discount is $21.60. Therefore the cheapest option is $27.00 with a 20% discount.
(a) Solve the equation 4 cos x + 2 = 3 for 0° < x < 360°.
Answer:
divide both sides by cosx
4 sinx/cosx = 1
4 tanx = 1
tanx = 1/4
x = arctan(1/4) = 14.04°
but the tangent is also positive in quad III
so x = 180+14.04 = 194.04°
x = 14.04° or 194.04°
Step-by-step explanation:
do by this step
The value of x is 75.52°.
What is trigonometry?Trigonometry is mainly concerned with specific functions of angles and their application to calculations. Trigonometry deals with the study of the relationship between the sides of a triangle (right-angled triangle) and its angles.
For the given situation,
The equation is 4 cos x + 2 = 3 for 0° < x < 360°.
⇒ [tex]4cosx=3-2[/tex]
⇒ [tex]4cosx=1[/tex]
⇒ [tex]cosx=\frac{1}{4}[/tex]
⇒ [tex]x=cos^{-1} (\frac{1}{4} )[/tex]
⇒ [tex]x=75.52[/tex]
Hence we can conclude that the value of x is 75.52°.
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25 points and brainiest
2. If you get paid hourly, making $1000 a week, but work 65 hours per week how much are you making hourly?
3. If you get paid hourly, making $25.00 an hour, but work 20 hours’ overtime per week, what is your weekly pay?
4. If you get paid hourly at a job making $25.00 an hour, but have to call in sick for one day of work, how much would you get paid at the end of the week assuming you normally work 40 hours and get no sick leave.
Please help me with the math questions!!!
1. Becky received $1,900 from her tax returns last year. If she invests that money in an account that yields 5.9% interest and is not compounded, how much interest will she earn if she leave the money in the account for 2 3/4 years?
2. Edward invested $43,800 in an account with yields 4.8% annually and is not compounded. How much will be in the account after two years?
3. Frank invested $12,700 add 8.8% interest that is compounded annually. What is his total balance after five years?
4. When Georgia started kindergarten, her parents set aside $10,000 in an account that yielded 5.6% interest compounded annually to pay for her college tuition. After six years of elementary school, three years of middle school and four years of high school, how much was in the account for Georgia’s college to tuition?
5. Harrison has an account with a balance of $155.59. This account has an interest rate of 9.4% compounded annually and the initial investment was two years ago. How much was the initial investment?
6. Iago invested $1240 in an account that yields 8% and is compounded annually. How much interest will Iago earn after two years?
7. At the end of three years, Josh had a balance of $1837.57 in an account that yielded 7% interest compounded annually. How much of that was interest?
Answer:
#1. $308.28
#2. $48,004.80
#3. $19,361.91
#4. $20,306.31
#5. $130.00
#6. $206.38
#7. $337.57
Step-by-step explanation:
All rounded to the near tenths place
and i just did this same assignment rn
Olivia is an athlete. During training this morning, she ran three laps. It took her 5 6minute to finish the first lap. The second lap took her 1 12more minutes than the first lap. The third lap took her 1 10less minutes than the second lap. How much time did it take her to finish the third lap?
Answer:
First lap time = 5/6 minute
Second lap time = 11/12 minute
Third lap time = 49/60 minute
Step-by-step explanation:
:))
Olivia is an athlete. During training this morning, she ran three laps. It took her 5 6minute to finish the first lap. it takes her to finish the third lap time in 49/60 minutes.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Olivia is an athlete. During training this morning, she ran three laps. It took her 5 6minute to finish the first lap.
The second lap took her 1 12more minute than the first lap.
The third lap took her 1 10less minute than the second lap.
First lap time = 5/6 minute
Second lap time = 11/12 minute
Third lap time = 49/60 minute
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A computer lab has an average of 5 students per hour. Find the probability that
there will be exactly 8 students in the lab for a certain hour
Answer:
prob. (8std.)=8/(5+8)
during the fall a pumpkin patch advertises four pumpkin for $11.oo which equation below respresents this proportional relationship
Answer:
11x4=44
Step-by-step explanation:
Find the volume of the cylinder.
Answer:
[tex]1205.8 \: {in}^{3} [/tex]
Step-by-step explanation:
For given cylinder:
Radius (r) = 4 in
Height (h) = 24 in
[tex]V_{cylinder} =\pi {r}^{2} h \\ \\ = 3.14(4)^{2} (24) \\ \\ = 1,205.76 \\ \\ \approx 1205.8 \: {in}^{3} [/tex]
6+6+5-6+2-7+10-1 divided by 3
Answer:
5
Step-by-step explanation:
a rectangle has a length of 25x^3 and a width of 5x^2. Fkns the area.
Answer:
Step-by-step explanation:
I hope you want the area.
Area = L * W
L = 24x^3
W = 5x^2
Area = 24x^3 * 5x^2
Area = 120 * x^(3 + 2)
Area = 120 * x^5
Note
When you multiply numbers or letters that have powers, if the base for both of them is the same, the powers are added.
The above answer is an example x^2 * x ^3 are letters (x) that are raised to the 2nd power and the 3rd power. You add the powers.
Numbers can do the same thing
2^5 * 2^3 = 2^82*8 = 2562^5 = 642^3 = 864 * 8 = 256
Which of the following images show a rotation of 270 counter-clockwise?
Answer:
top left
Step-by-step explanation:
Write an equation for slope -4 y- intercept0
Answer:
Step-by-step explanation:
If the slope of this line is -4 and the y-intercept is 0, then we can write the slope-intercept equation for this line as
y = -4x + 0, or just y = -4x
BRAINLY TO WHOEVER HELPS ASAP
Answer: A, D
Step-by-step explanation:
For number 7 the answer is A
For number 8 since you are only moving it is the same size, therefore, producing a congruent image for all 3 of those translation. So for 8 the answer is d.
Answer:
Look Below
Step-by-step explanation:
1) The answer is A. It is A because if you want a reflected images across the Y-Axis, you want just the X value to change. Not the Y. So since the Y is positive and the X is positive, if you want a reflected image you want the X to be negative and the Y to be positive.
2) The answer is D. It is D because those are all forms that will produce a Congruent Image.
If you find any faults in my answer please let me know. Thanks! Have a Good Day!
A rope 24m long is divided into three pieces in a ratio 1:2:5. The length of the shortest piece in
metre is
Answer:
3 m
Step-by-step explanation:
sum the parts of the ratio, 1 + 2 + 5 = 8 parts
Divide the length by 8 to find the value of one part of the rope
24 m ÷ 8 = 3 m ← value of 1 part of the ratio
Thus the shortest piece is 3 m
The required length of the shortest piece is 3 meters.
Given that,
A rope 24m long is divided into three pieces in a ratio of 1:2:5. The length of the shortest piece in meters is to be determined.
The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.
Here,
let the required proportion is equal to x,
then,
x + 2x + 5x = 24
8x = 24
x = 3
Now the lengths
x = 3 meter
2x = 6 meter
5x = 15 meter
Thus, the required length of the shortest piece is 3 meters.
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A girl successfully made 12 free throws yesterday today she made 150% as a nanny how many successful Fritos did she make today
Answer:
18 throws
Step-by-step explanation:
Given data
Number of throws= 12
Let us 150% if 12
=150/100*12
=1.5*12
=18 throws
Hence she made 18 throws today
1.-28 -20 help me plsss
If you mea. 1 . -28 - 20 then the answer is going to be
[tex]1. - 48[/tex]
but if you mean -28 -20 the the answer is going to be
[tex] - 48[/tex]
James joins Club one which charges a monthly membership of 19.99 how much will James spend in all if he continues his membership for six months
The area of the square is
........ square centimeters.
9.5 cm
9.5 cm
PLEASE HELP, I NEED THIS OR I WILL FAIL MY CLASS PLZZZZ.
30 POINTS AND BRANILEST
Answer:
this is 5 points not 30 mate
Your answer is B
Step-by-step explanation:
have a nice day
i hope this helps
mark brainliest please :)