Answer:
72.80= 70(x)^1
x^1 is still x, so leave it at 72.8= 70x
divide 70 from both sides to leave x by itself
x= 1.04
4% interest is payed annually.
Hence, the simple percent interest per year is [tex]4[/tex]%.
What is the simple percent interest?
Simple interest is a quick way of calculating interest. Simple interest is worked out by calculating the percentage amount and multiplying it by the number of periods that the money will be invested for.
Here given that,
Sophia invests money in an account paying simple interest. She invests $[tex]70[/tex] and no money is added or removed from the investment. After one year, she has $[tex]72.80[/tex].
So,
[tex]70x=72.80\\\\x=\frac{72.80}{70}\\\\x=1.04[/tex]
which is [tex]4[/tex]% interest is payed annually.
Hence, the simple percent interest per year is [tex]4[/tex]%.
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If f(x)=3x^6+4x^3-4, then what is the remainder when f(x) is divided by x+1?
Answer:
-5
f(-1) would be the remainder
you are traveling for work. You fly out of las vegas at 4:45 Am. you arrive in miami 6 hours later. what time is it when you arrive ? explain how you got your answer.
Answer:
The time wil be 1:45
Step-by-step explanation:
4:45 + 6 hours is 10:45
But since Miami is 3 hours ahead (different time zone), you
will add 3 hours. So that makes it 1:45 when you land!
Hope this helps!!
What about this one?
Answer:
108
Step-by-step explanation:
Okay here we see a diameter of 6 which is a line that shows the width of the whole circle. The radius is half of the diameter. So its 3. So its asking to use 3 for pie and the formula is 4/3 pie r^3. So we do 4/3 times 3 times 3^3 and we get 108. I hope this helps.
I really need help with this.
Answer:
See attachment
Step-by-step explanation:
See attached image.
Please help me with this
Answer:
Look at the photo.
Step-by-step explanation:
The formula is y=mx+b. So, for the first one you start at the coordinate (0, 2) and then move down 2 and right one.
For the second one you start at the coordinate (0, -2) and then move down two and move right one.
The base of an isosceles triangle is represented by the expression 3x - 1. Each of the legs of the isosceles triangle is twice the base. Write an expression for the perimeter of the triangle listing each side. Simplify the expression. (if possible show your work.)
Answer: 15x-5
Step-by-step explanation:
If 30% of the 1000 cars on a lot are not hybrids, and 45% are not sedans, how many cars on the lot are hybrid sedans?
The number of cars that are hybrid sedans are = 250 cars
Calculation using a Venn diagramThe value of 30% of 1000 = 30/100× 1000
= 300 cars are not hybrids.
Therefore the number of cars that are hybrids = 300 - x
The value of 45% of 1000 = 45/100 × 1000
= 450 cars are not sedans
Therefore the number of cars that are sedans
= 450 - x
Where X is the cars that are both hybrid and sedans
Using the Venn diagram equation,
1000 = 300 -x + X + 450 - x
1000 = 750 - X
X= 750 - 1000
X = 250 cars
The number of cars that are hybrid is 300 - x where X = 250.
300 - 250 = 50 cars
The number of cars that are sedans is 450 - x. That is,
450 - 250 = 200 cars
Therefore, the cars that are both hybrid and sedans = 250 cars.
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The shortest leg of a 30-60-90 triangle is 5 inches. How long is the hypotenuse?
10 inches
10√2 inches
10√3 inches
5√2 inches
Answer:
the 2nd one
Step-by-step explanation:
i did the test and got correct
Prisms A and B are similar. The volume of prism A is 375cm3. The volume of prism B is 648cm3. The surface area of prism A is 250cm2. Work out the surface area of prism B.
Answer:
We have the length, width, and height of the rectangular prism, so we can calculate V=l×w×h=20cm×10cm×10cm=2,000cm3 V = l × w × h = 20 cm × 10 cm × 10 cm = 2 , 000 cm 3
The surface area of Prism B is approximately 367.25 cm^2.
Since Prisms A and B are similar, their corresponding sides are in proportion, and their volumes are related by the cube of the scale factor between them.
Let the scale factor between Prism A and Prism B be k. Then:
Volume of Prism A / Volume of Prism B = (Side length of Prism A / Side length of Prism B)^3
Given that the volume of Prism A is 375 cm^3 and the volume of Prism B is 648 cm^3, we can set up the equation:
375 / 648 = (Side length of Prism A / Side length of Prism B)^3
Now, let's solve for the scale factor (k):
k^3 = 375 / 648
k^3 = 0.5787037037
k ≈ 0.825 (rounded to three decimal places)
Now, since the surface area of a prism is proportional to the square of its side length, we can find the ratio of the surface areas:
(Surface area of Prism A / Surface area of Prism B) = (Side length of Prism A / Side length of Prism B)^2
Given that the surface area of Prism A is 250 cm^2, we can find the surface area of Prism B:
Surface area of Prism B = Surface area of Prism A / (k^2)
Surface area of Prism B = 250 / (0.825^2)
Surface area of Prism B ≈ 250 / 0.680625
Surface area of Prism B ≈ 367.25 cm^2
Therefore, the surface area of Prism B is approximately 367.25 cm^2.
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How much are bike uses a petrol and oil mixture in the ratio 17:3.
A) how much of each is there in 25 litres of mixture?
By using the given ratio, we will see that 21.25L is petrol and 3.75L of oil.
How much of each component is used?We know that Petrol and Oil is used in a mix with a ratio of 17:3
Then, in 25 liters, then first we need to divide this by 20 (the sum of the two numbers of the ratio), we get:
25 L/20 = 1.25L
So we divided 25 liters in 20 parts. 17 of these parts are petrol, and 3 of these parts are oil
Then:
17*1.25L = 21.25L of petrol
3*1.25L = 3.75L of oil.
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A random sample of people were surveyed on their favorite sport, as shown in the table below sorted by the respondent’s age.
What percent of the people between the ages of 21 and 34 prefer other sport and/or hate sports? Round your answer to the nearest tenth of a percent.
Answer:
22.5%
Step-by-step explanation:
The total of people surveyed between 21-34 is 40 and the total number who prefer other or hate sports is 9 so the percent is 9/40 which is equal to 2.25. Multiply this number by 100 to get it as a percent and you have 22.5%
22.5% of the people between the ages of 21 and 34 prefer "Other/Hate Sports."
What is Percentage?Percentage is a way of expressing a fraction or a portion of a whole as a value out of 100. It is denoted by the symbol "%". Percentages are used to represent proportions, ratios, or rates in a more easily understandable and comparable form.
To find the percentage of people between the ages of 21 and 34 who prefer other sports and/or hate sports, we need to calculate the proportion of the total respondents in that age group who have chosen "Other/Hate Sports."
The table shows that there are 9 people between the ages of 21 and 34 who prefer "Other/Hate Sports" out of a total of 40 respondents in that age group.
So, Percentage = (Number of people with the preference / Total number of respondents in the age group) x 100
= (9 / 40) x 100
= 22.5%
Therefore, 22.5% of the people between the ages of 21 and 34 prefer "Other/Hate Sports."
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Alicia tiene un reloj que se retrasa 3 segundos cada día. ¿Cuántos minutos y segundos se retrasa en un mes?
¿Y en un año?
En un mes el reloj de Alicia se retrasa 1.5 minutos, por otra parte en un año su reloj se retrasa 18 minutos y 15 segundos.
¿Cuánto se retrasa el reloj en un mes?La mayoría de los meses tienen entre 30 y 31 días:
Mes de 30 días:
3 segundos x 30 = 90 segundos / 60 segundos = 1 minuto y 30 segundos3 segundos x 31= 91 segundos/ 60 segundos = 1 minuto y 31 segundosEn general se atrasa 1.5 minutos en un mes.
¿Cuánto se retrasa el reloj en un año?3 segundos x 365 días = 1095 segundos/ 60 segundos = 18 minutos y 15 segundos.Aprenda más sobre el reloj en: https://brainly.com/question/8776916
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.
How many degrees are in a circle?
180°
300°
90°
360°
Answer:
360
Step-by-step explanation:
each part of circle are divided into 360
Can you help me with this
Answer:
i think it is b
Step-by-step explanation:
i am not good at math sorry
A car travels 28 miles south and then 45 miles east around a lake. A boat leaves from the same place and arrives at the same place but travels directly from point A to point B. Calculate how many miles the boat and the car each traveled total. Then calculate who arrived first if the car was traveling at 40miles per hour and the boat traveled at 25 miles per hour.
Answer:
The car travelled 73 miles
The boat travelled 53 miles
The car arrived 17.7 minutes before the boat
Step-by-step explanation:
The total distance the car travelled from Point A to Point B = 28+45 = 73 miles
The total distance the boat travelled is given by the displacement; Using Pythagorean theorem = 53miles.
Time taken by the car = Distance/Speed = 73/40 = 1.825 hrs or 109.5 minutes
Time taken by the boat = Distance/speed = 53/25 = 2.12 hrs or 127.2 minutes.
The time taken by the car is the shortest, therefore it arrives first before the boat.
(◔‿◔)
PLEASE ANSWER!!!!
Yusuf tried to solve an equation step by step.
1/4r+2=10
Step 1:
1/4r=12
Step 2:
R=48
Find Yusuf's mistake.
Choose one answer:
A.) Step 1
B.) Step 2
C.) Yusuf didn't make a mistake
Answer:
Step-by-step explanation:
Step one is not correct. He got 12. He should have obtained 10 -2 = 8. You need to subtract 2 on the left to get rid of the 2 there. So you must subtract 2 on the right.
Answer: Step one contains the error.
Answer:
A. Step 1
Step-by-step explanation:
I did it on khan so its right
There are 85 students in a college mathematics class. Five students are
chosen to work on a project together. How many different groups of five
students are there in this class?
Answer:
17
Step-by-step explanation:
85/5=17
The solid below is made from cubes.
Find its volume.
Answer:
78.5 cm. cubed
Step-by-step explanation:
Answer:
60 cm cubed
Step-by-step explanation:
How many solutions does the system formed by x - y = 2 and ay - ax + 2a = 0 have for a nonzero
number a? Give your answer and complete the explanation.
The system has (select)
solution(s). Rearranging the left side of the 2nd equation and
subtracting 2a from both sides gives-ax + ay =
a. Dividing both sides by-a gives
x-y=
So, the equations describe the same line.
Answer:
1
y = 0
x = 2
Step-by-step explanation:
The first thing we want to do to solve a system of equations is to solve one of them in terms of a single variable.
Lets start with x - y = 2
If we add y to both sides we get: x = 2 + y
Now to solve the system of equations we can substitute that value for x into the other equation. In any system of equations a solution for one must be a solution for the other as well.
ay - ax + 2a = 0
When we substitute our value of x into this equation and get the folowing:
ay - a(2 + y) +2a = 0
ay -2a - ay + 2a = 0
All of the terms cancel out on the left side leaving us with:
0 = 0
This means that the only way this system can be solved is if y is equal to 0.
Going back to the first equation x - y = 2
x - 0 = 2 so x = 2
This is the only solution to that system of equations, which means it forms a point instead of a line.
Can someone please help me I will give u brainest please
Answer:
1/24
Step-by-step explanation:
1/2x1/2x1/6
"1/2" for which marble you choose
"1/2" for what the spinner lands on
"1/6" for what number the dice rolls
Find y.
B
C
Зу
A
8 D
м
2
4
15
10
Answer:
y=4
Step-by-step explanation:
The question is asking what is the value of y:
Since all lengths have a dash on them they are all equal :
So 3y = y+8
3y = y + 8
First we subtract y from both sides:
3y-y = y+8-y
2y = 8
Divide both sides by 2:
2y÷2 = 8÷2
y = 4
Multiply the binomials (4x + 7) and (2x - 8).
es )
A)
8x2 +18x - 56
B)
8x2 - 18x - 56
8x2 - 46x + 56
D)
8x2 - 46x - 56
8x²-18x-56
Solve :
(4x + 7) (2x - 8)apply distributive method
(4x)(2x)+(4x)(-8)+7(2x)+7(-8)simplify the following
8x²-32x+14x-56final outcome
8x²-18x-56Answer:
B) [tex]8x^2-18x-56[/tex]
Step-by-step explanation:
Given expression:
[tex](4x + 7)(2x - 8)[/tex]
Apply the FOIL method: [tex](a+b)(c+d)=ac+ad+bc+bd[/tex]
[tex]\implies (4x \cdot 2x)+(4x \cdot -8)+(7 \cdot 2x) +(7 \cdot -8)[/tex]
[tex]\implies 8x^2-32x+14x-56[/tex]
Combine like terms:
[tex]\implies 8x^2-18x-56[/tex]
caitlyn is on her school's softball team. so far Caitlyn has 39 hits in 75 times at bat. what is her batting average?
Answer:
0.52
Step-by-step explanation:
[tex]batting \: average \: = \frac{39}{75} \\ = 0.52[/tex]
3 L of water are shared equally among 5 friends. What fraction of a liter did each friend get?
Explanation: Simply divide 3 over 5. We cannot do much with the fraction since 3/5 can't be reduced. So we leave it as is.
3/5 in decimal form is exactly 0.6 and that converts to 60%, meaning each person gets 60% of a full liter.
45 points!
x+1(8+5)+y2-3(x3+y-4)=36-4+x7-y-1
pls i need help now!
Which of the following are prime factors of both 24 and 42? Select all that apply.
Answer:
2 and 3
Step-by-step explanation:
So, 24=2x2x2x3
42=2x3x7
3 and 2
Answer:
2 and 3
Step-by-step explanation:
prime factors for 42: 2, 3, and 7
prime factors for 24: 2,2,2 and 3
A sculpture is made of two sizes of rectangular prisms. one size measures 13 in by 8 in by 2 in. the other size measures 9 in by 8 in by 18 in. what is the total volume of the sculpture
Answer:The answer should be 1504 if i did it corectly
Step-by-step explanation: to get volume you need to multiply L*W*H and filling that in. 13 * 8 * 2 whitch you should get 208
the other size would have to be 9 * 8 * 18 which you should get 1296
then to get the total you just need to add together the two sums 208+1296 which should equal 1504.
1.2, 5.8, 3.7, 9.7, 5.5, 0.3, 8.1
what is the Median
Answer:
it would be 5.5
Step-by-step explanation:
0.3 1.2 3.7 5.5 5.8 8.1 9.7
Answer:
4.9
Step-by-step explanation:
Median; add up all the numbers then divide by the amount of data points
1.2 + 5.8 + 3.7 + 9.7 + 5.5 + 0.3 + 8.1
7 + 3.7 = 10.7
10.7 + 9.7 = 20.4
20.4 + 5.5 = 25.9
25.9 + 0.3 = 26.2
26.2 + 8.1 = 34.3
34.3 / 7 =4.9
Hurry pls!
A miniature connector is shaped like this hexagonal prism. The prism has a base area of 8.15 cm².
What is the volume of the connector?
Enter your answer as a decimal in the box.
cm³
The volume of the connector given the base area and the height is 84.70cm³.
What is the volume of the connector?A hexagonal prism is a three dimensional object that is made up of a hexagonal base. It has 8 faces, 18 edges, and 12 vertices.
Volume = [tex]\frac{3\sqrt{3} }{2} a^{2}h[/tex]
Where:
a²= base area h = height2.598076 x 8.15 x 4 = 84.70cm³
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Answer:
32.6 cm³ for K12
A plane flies the 1580 km from Cairo to Khartoum.
It departs from Cairo at 1155 and arrives in Khartoum at 1403.
Calculate the average speed of the plane, in kilometres per hour.
speed= distance/ time
= 1580/32/15
=1580/32 ×15
=740.625 km/hrs
time taken by plane:11:55 - 12:00= 5mins
12:00 - 14:03= 2hrs 3mins
total time:
=5 mins + 2hrs 3 mins
= 2hrs 8 mins
= ( 2 + 8/60) hrs
= 2 + 2/15
= 32/15 hrs