Answer:
You would first add 3 to 12 - 6x =15
x =2.5
12(2.5) = 30
Final value =38
Step-by-step explanation:
a triangle has vertices r(1,2), s(3,3) and t(-3,4)
Give The Rest of the question
Answer:
Reflection about x axis
r(1,2)-----------r'(1,-2)
, s(3,3) ..........s'(3,-3)
and t(-3,4).....t'(-3,-4)
A computer can perform 4.66 x 10 exponent 8 calculations per second. How many calculations can this computer perform in one minute
Answer:
2.796x10^10
Step-by-step explanation:
4.66x10^8 in one second
1 minute is equal to 60 seconds
Multiply 4.66x10^8 by 60
= 2.796x10^10
Santos flipped a coin 300 times. The coin landed heads up 125 times. Find the ratio of heads to total number of coin flips. Express as a simplified ratio. Answers:
A- 5 to 12
B- 7 to 12
C- 12 to 5
D- 5 to 7
Answer:
5/12
Step-by-step explanation:
No. of times coin landed head up / Total no. of flips
= 125 / 300
= 25*5 / 25*12
= 5 / 12
Katelyn invested $1500 into her account which earned interest compounded continuously. After 10 years, she discovered that she had $3935.36. What interest rate percent did Katelyn earn?
Answer: ____ % interest
Given:
Principal = $1500
Time = 10 year
Amount after interest compounded continuously = $3935.36
To find:
The rate of interest.
Solution:
The formula for amount after continuous compound interest is:
[tex]A=Pe^{rt}[/tex]
Where, P is principal, r is the rate of interest in decimal and t is time in years.
Putting [tex]P=1500,A=3935.36,t=10[/tex] in the above formula, we get
[tex]3935.36=1500e^{r(10)}[/tex]
[tex]\dfrac{3935.36}{1500}=e^{10r}[/tex]
[tex]2.6236=e^{10r}[/tex]
Taking ln on both sides, we get
[tex]\ln(2.6236)=\ln e^{10r}[/tex]
[tex]0.9645=10r[/tex] [tex][\because \ln e^x=x][/tex]
Divide both sides by 10.
[tex]\dfrac{0.9645}{10}=r[/tex]
[tex]0.09645=r[/tex]
The rate of interest in percentage is:
[tex]r=100\times 0.09645[/tex]
[tex]r=9.645\%[/tex]
Therefore, the required rate of interest is 9.645%.
Malcom is filling bags with rice. He starts with 5 1/4 lbs. container of rice and fills each bag with 5/8 pound of rice. How many bags can Malcom fill?
Sebastian wants to buy carpet to cover his whole living room, except for the tiled floor. The tiled floor is 7 1 2 ft by 3 1 4 ft. Find the area the carpet needs to cover.
Answer: [tex]\dfrac{195}{8}\ ft^2[/tex]
Step-by-step explanation:
Given
The dimension of the tiled floor is [tex]7\frac{1}{2}\times 3\frac{1}{4}\ ft^2[/tex]
Taking the floor in the shape of a rectangle
The area of the tiled floor is given by the product of length times width i.e.
[tex]\Rightarrow A=7\dfrac{1}{2}\times 3\dfrac{1}{4}\\\\\Rightarrow A=\dfrac{15}{2}\times \dfrac{13}{4}\\\\\Rightarrow A=\dfrac{195}{8}\ ft^2[/tex]
Wendy noticed that out of 345 cars that passed by her house 56 were SUVs. About how many SUVs could she expect to see pass by if 2,100 cars were to pass her house?
Answer:
341 SUVs
Step-by-step explanation:
56/345*2100= 7840/23 or around 341 SUVs
Hope this helped! :)
Mary would like to save $10 000 at the end of 5 years for a future down payment on a car
a) How much should she deposit at the end of each month in a savings account that pays 1.2%/a, compounded monthly, to meet her goal?
b) If you currently have a part-time job, consider your hourly wage. If you do not have a job, use the minimum hourly wage in your jurisdiction. How many hours each month would you have to work, just to make those payments? Write a brief reflection on the advantages and disadvantages to long-term saving for a purchase, compared to borrowing a large sum of money and paying it off over time. Note that interest rates for savings accounts are always lower than interest rates for borrowing!
Answer:
a) $161.8
b i) Approximately 327.7 hours
ii) The cost of saving is less but the opportunity cost of saving can be higher with regards to technology and regulation
Step-by-step explanation:
The amount Mary would like to save, FV = $10,000
The time Mary over which Mary intends to save the amount, t = 5 years
Therefore, the number of monthly payments, n = 12
a) The amount in interest the bank pays compounding, i = 1.2% per annum
The amount that Mary will deposit each month is given as follows;
The compound interest formula is given as follows;
[tex]PMT = \dfrac{FV}{\left (\dfrac{ \left (1 + \dfrac{i}{12} \right )^n - 1}{ \dfrac{i}{12}} \right)}[/tex]
Where;
PMT = The monthly payment
Therefore, we get;
[tex]PMT = \dfrac{10,000}{\left (\dfrac{ \left (1 + \dfrac{0.012}{12} \right )^{60} - 1}{ \dfrac{0.012}{12}} \right)} \approx 161.8[/tex]
PMT = 10,000/((1 + 0.012/12)^(60) - 1)/(0.012/12)) ≈ 161.8
The amount she needs to deposit monthly, PMT ≈ $161.8
b i) Given that the minimum wage varies and we have a minimum wage here is officially approximately $79, which is 160 hours a month work
The number of hours work needed = 161.8/79 × 160 ≈ 327.7 hours a month approximately
b ii) Given that the interest rate for saving is lower than the interest rate for borrowing, the amount paid by saving is much lesser than the amount paid back when borrowing, therefore, it is more cost effective to save
However, while saving, changes may take place, such as the use of what is being saved for, therefore, it can be more beneficial to borrow and make use of the items now while they are still available and acceptable, such as the drive towards net zero is making fuel based cars less popular with the drive being towards electric cars.
f(x)=2x2−10x+11 What is f(4)?
Set the polynomial equal to y y to find the properties of the parabola. y=2x2+10x+11 y = 2 x 2 + 10 x + 11. Rewrite the equation in vertex form. Tap for more steps.
help please!! if it’s correct ill mark you as brainliest
Answer:
[tex]\frac{2\pi }{25}[/tex]
(8^2 x pi)/ (20x40)
A) y=1/3x-8
B) y=1/3x-4
C) y=1/3x+2
D) y=1/3x-14
Answer:
A
Step-by-step explanation:
Concept :-
The slope intercept form of a line is y = mx + c Where m is slope , and c is constant .On converting :-
[tex]\bf\implies y + 5 =\dfrac{1}{3}(x-9)\\\\\bf\implies y + 5 =\dfrac{1}{3}x - 3 \\\\\bf\implies y = \dfrac{1}{3}x - 3 - 5 \\\\\bf\implies\boxed{\red{y = \dfrac{1}{3}x -8 }}[/tex]
Hence option A is correct.Find the volume and show work
Answer:
Volume = 2512 km³
Volume = 800π km³
Step-by-step explanation:
Volume Cylinder = Area circle * height
Let's input the info
Formula for the Area of a circle = πr²
Area circle = π*100
Since it asks to leave in terms of π or tenths ill give both.
Area circle = 100π
Area circle = 314
Volume = 100π * 8
Volume = 800π
Volume = 314 * 8
Volume = 2512
Units = km³
Volume = 800π km³
Volume = 2512 km³
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Mackenzie works as a salesperson at an electronics store and sells phones and phone accessories. Mackenzie earns a $10 commission for every phone she sells and a $4 commission for every accessory she sells. On a given day, Mackenzie made a total of $126 in commission and sold 7 more accessories than phones. Write a system of equations that could be used to determine the number of phones sold and the number of accessories sold. Define the variables that you use to write the system.
Answer:
answer =$126Step-by-step explanation:
did I get it right ?
Carol creates a flag consisting of two similar triangles and labels them
A ABC and A XYZ. Side AB is 5 cm and side XY is 15 cm. If the perimeter of A
ABC is 16 cm, what is the perimeter of A XYZ ?
A) 26 cm
B) 6cm
C)48cm
D)144cm
Answer: 48
Step-by-step explanation:
When 5x^2−5 is completely factored, which is one of its factors?
Answer:
no, never completely factored with negative exponents
Step-by-step explanation:
5x^-3 = 5/x^3
The area of a rectangle is 8 square yards.
What is the area of the same rectangle when measured in square feet?
Answer:
24 square feet
Step-by-step explanation:
If the area of the rectangle is square yards then the area in feet would be 24 because there are 3 feet in a yard my multiply 8*3 to get 24.
Answer:
72
Step-by-step explanation:
Guy above was so wrong its 72 square feet I did the test
help!!!!!!!!! i am really confused and need help
Answer:
g(-3)= -3^3-7
= -27-7
= -34
please help me, due tomorrow!!!
Answer:
1. B
Step-by-step explanation:
the only 1 i could do is number 1 which i dont even think it is correct
How many square feet of outdoor carpet will we need for this hole
Answer: multiply the numbers
Step-by-step explanation:
try multiplying the numbers
Help what’s the answer ?
Answer:
-5x+13
Step-by-step explanation:
-2x+9-3x+4
=-5x+13
Marulla's z score on a college entrance exam is 1.3. If the raw scores have a mean of 480 and a standard deviation of 70 points, what is her raw score?
Answer:
571
Step-by-step explanation:
We solve using z score.
z = (x-μ)/σ, where
x is the raw score = ?
μ is the population mean = 480
σ is the population standard deviation = 70
z = 1.3
Hence,
= 1.3 = x - 480/70
Cross Mulitiply
1.3 × 70 = x - 480
91 = x - 480
x = 480 + 91
x = 571
Therefore, Marulla's raw score is 571
Re-write the quadratic function belbw in Standard Form
y = 3(x - 3)(x - 2)
Answer:
y = 3x² - 15x + 18
Step-by-step explanation:
y = 3(x - 3)(x - 2) ← expand factors using FOIL
= 3(x² - 5x + 6) ← distribute parenthesis by 3
y = 3x² - 15x + 18 ← in standard form
ANSWER
SEE EXPLANATION
Step-by-step explanation:
3(x²-2x-3x+6)
3(x²-5x+6)
3x²-15x+18
Express your answer in scientific notation. 8.8*10^7+3.1*10^8
Answer:
i can't explain how but the answer is:
3.98 * 10^8
Answer:
39.8 x 10^7
Step-by-step explanation:
Factor the expression
(8.8+3.1x10) x 10^7
Multiply
(8.8+31) x 10^7
Add
39.8 x 10^7
Hope this helps! If you need any other help lmk! :)
I'LL MARK BRAINLIST
Find the mean, median, mode, and range of the following data set.
150, 125, 162, 178, 98, 213, 155, 130
Answer:
Mean = 151.375
Median = 152.5
Mode = None
Range = 115
Step-by-step explanation:
To find the mean:
Add the numbers and then divide by how many numbers there are:
150+125+162+178+98+213+155+130 = 1211
1211/8 = 151.375
To find the median:
Arrange in order from least to greatest:
98, 125, 130, 150, 155, 162, 178, 213
Median is the middle number. Because there is no middle number, average 150 and 155:
150+155 = 152.5
To find the mode:
Count how many times each number appears in the set. In this case, every number appears once, so there is no mode.
To find the range:
Subtract the highest number from the lowest number to find the difference:
213-98 = 115
Answer:
The mean is 138.9. The median is 142.5. There is no mode. The range is 163
Andre has seven dollars he needs $50 to buy a skateboard each week his grandmother pays him four dollars to complete some chores how much money does Andre have after the week
Answer:
$11
$39
Step-by-step explanation:
Amount Andre has = $7
Amount his grandmother pays him every week = $4
Amount Andre needs to buy a skateboard = $50
how much money does Andre have after the week?
Amount of money Andre has after the week = Amount Andre has + Amount his grandmother pays him every week
= $7 + $4
= $11
Amount of money Andre has after the week = $11
Amount Andre needs more to buy the skateboard = Cost of the skateboard - Amount of money Andre has after the week
= $50 - $11
= $39
Amount Andre needs more to buy the skateboard = $39
Question
Am I going to past science class and not go to summer school?
Answer:
yes u got this shawty
Step-by-step explanation:
In parallelogram MNPQ if QR=5 find RN.
Answer:
RN=5
Step-by-step explanation:
QR is congruent to RN therefore they are the same length
solve for x. and please explain your answer
Use the figure below to determine the length of sides b and c.
Question 5 options:
b = 5√3, c = 10
b =10, c = 5√3
b = 5√2, c = 10√3
b = 5, c = 10√2
Answer:
Option A
The value of the length of sides b and c is 5√3 and
10 respectively.
Step-by-step explanation:
Here, a given figure
Let the ΔABC
m∠B = 90°, m∠C = 30°, AB = 5, BC = b, AC = c
Now,
Sin θ = O/H
Sin 30° = 5/c
1/2 = 5/c
1 × c = 5 × 2
c = 10
Then,
tan θ = O/A
tan 30° = 5/b
1/√3 = 5/b
b × 1 = 5 × √3
b = 5√3
Thus, The value of the length of sides b and c is 5√3 and
10 respectively.
-TheUnknownScientist
i need helpp please this is due today (show work/explanation)
Answer:
14 x 14 = 196
10 x 14 x 1/2(basically just dividing by 2) = 70
70 x 4(four sides of triangles) = 280
Now let's add the areas together:
196 + 280 = 476 cm^2 is your answer.