Answer:
You have to invest $6,250
Step-by-step explanation:
very simple applying the simple interest formula which is
[tex]A = P (1 + rt)[/tex]
Given data
A, final amount = $10,000
P, initial principal balance= ?
r, annual interest rate = 7.5%
t, time (in years)= 8 years
we can substitute our given data to find the principal needed.
[tex]10000= P(1+0.075*8)\\\10000= P(1.6)\\\[/tex]
Divide both sides by 1.6 we have
[tex]P= \frac{10000}{1.6} \\\P= 6250[/tex]
P= $6,250
Howard is playing in a high school basketball game that is halfway through the
third quarter.
1) What fractional part of the game is left?
2) If there are 12 minutes of playing time left in the game, how many minutes
of playing time are there in the whole game?
(Please help me solve it)
Answer:
96 minutes in the whole game or 1 hour and 36 minutes and 1/8 of the game is left.
Step-by-step explanation:
So we know that there are 4 quarters in a game. So if they're halfway through the 3rd quarter with 12 minutes left in the game, that means half a quarter equals 12 minutes. That means a full quarter equals 24 minutes. Then we do 24 *4 which is 96. So there are 96 minutes in the whole game and there 1/8 of the game left since 96/8=12.
Hope this helped
Plz help me 3y+x=7 4x-2y=0
Answer: 3
Step-by-step explanation:
Which inequality is represented by this graph from a positive 0 to positive 5
PLEASE HELP! Which of the following is a discrete random variable? a) length of time you play in a baseball game b) length of a car c) volume of water in a tank d) number of candies in a box
Answer:
The answer is D: the number of candies in a box.
Step-by-step explanation:
Answer:
D) number of candies in a box
Step-by-step explanation:
Yvette likes to increase the distance she runs by 1% each day. If yesterday Yvette ran 10.75km, how much further is she going to run today?
｡☆✼★ ━━━━━━━━━━━━━━ ☾
The multiplier for 1% would be 1.01
Multiply her distance from yesterday by this value
new distance = 10.75 x 1.01
new distance = 10.8575
I'm assuming you'd want the answer to 2 d.p (however, you can round accordingly if needed otherwise)
Subtract the two values
10.8575 - 10.75 = 0.1075
So, to 2 d.p your answer would be 0.11 km
Have A Nice Day ❤
Stay Brainly! ヅ
- Ally ✧
｡☆✼★ ━━━━━━━━━━━━━━ ☾
A company is building a new park in the shape of a circle with a 25 ft diameter. Portions of the new park will be covered with grass. A diagram of the park is given below, with the shaded region representing the areas that will be covered in grass. Use 3.14 for. Note: image is not drawn to scale. The area of the regions covered by grass is approximately sq ft.
Answer: The area of the regions covered by grass is approximately 313.375 sq ft.
Step-by-step explanation:
Given: A company is building a new park in the shape of a circle with a 25 ft diameter.
Then radius = [tex]\dfrac{25}{2}=12.5\ ft[/tex]
Required area = Area of circle - Area of rectangle + Area of triangle
Formula: Area of circle = [tex]\pi r^2[/tex]
Area of rectangle = length x width
Area of triangle = 0.5 x base x height
Area of circle = [tex](3.14)(12.5)^2=490.625\ \text{ft}^2[/tex]
Area of rectangle = 20 ft x 10ft = 200 ft²
Area of triangle = 0.5 x 7 x 6.5 = 22.75 ft²
Required area = 490.625 -200+22.75 = 313.375 ft²
Hence, The area of the regions covered by grass is approximately 313.375 sq ft.
What is the sum of the series *picture attached*
Answer:
[tex]\sum_{n=4}^{18}(n+1)^2=2440[/tex]
Step-by-step explanation:
Series: [tex]\sum_{n=4}^{18} (n+1)^2[/tex]
Formula :[tex]\sum_{k=m}^n=\sum_{k=1}^n-\sum_{k=1}^{m-1}[/tex]
[tex]\Rightarrow \sum_{n=4}^{18}(n+1)^2=\sum_{n=1}^{18}(n+1)^2-\sum_{n=1}^{3}(n+1)^2[/tex]
[tex]\sum_{n=1}^{18}(n+1)^2=2469[/tex]
[tex]\sum_{n=1}^{3}(n+1)^2=29[/tex]
[tex]\Rightarrow \sum_{n=4}^{18}(n+1)^2=2469-29[/tex]
[tex]\Rightarrow \sum_{n=4}^{18}(n+1)^2=2440[/tex]
So, Option C is true
Brett is making chocolate bars. He wants to make 35 bars from Monday to Friday. One cocoa pod makes ⅚ of bar. If he harvests the same number of cocoa pods each day, how many cocoa pods should he harvest each day to reach his goal of making 35 bars total from Monday to Friday?
Answer:
one cocoa pod makes 5/6 bar
to make 35 bars, he needs
35 / (5/6) = 35 * 6/5 = 42 pods
Monday - Friday is 5 days
42/5 = 8.4
:o help (08.06 MC)Consider the following dot plot. Of the following statements, which two characteristics of this dot plot make the median a better choice than the mean to summarize the center of the distribution?
Answer:
no
Step-by-step explanation:
the answer is no because the quantum formula states that a quantum state is a mathematical entity that provides a probability distribution for the outcomes of each possible measurement on a system. Quantum states that cannot be written as a mixture of other states are called pure quantum states, while all other states are called mixed quantum states.
The questions no l and p.
please help me as soon as possible!!!!!
Answer:
l = 2cosΘ p = see attachment
Step-by-step explanation:
√2+√2+2cos 4Θ
√2+√2(1 + cos 4Θ)
√2 + √2(2 cos² 2Θ)
√2 + √4 cos² 2Θ cos 2Θ = 2 cos²Θ - 1
√2 + 2cos 2Θ
√2(1 + cos 2Θ)
√4cos²Θ
2cosΘ
Answer:
Step-by-step explanation:
I'm only going to do the first one, because the tangent problem is going to give us both night mares.
Start with cos(4*theta), There are various places on the internet which solves this, so I won't bother. Basically it comes down to using cos(2*theta).
cos(4theta) = 8*cos^4(theta) - 8*cos^2 (theta) + 1
2*cos(4*theta) = 16*cos^4(theta) - 16cos^2(theta) + 2
2 + 2cos(4*theta) = 16cos^4(theta) - 16cos^2(theta) + 4
(2 + 2cos(4*theta) = (4 cos^2(theta) - 2 )^2
sqrt(2 + 2cos(4theta) = 4cos^2(theta) - 2
=====================================
sqrt(2 + 4cos^2(theta) -2 ) = sqrt( 4 cos^2(theta) = 2 cos(theta) = RHS
Jeremy is taking a photography class, but he doesn't own a camera. The class organizers will rent him a camera for $6 per day. Jeremy can spend up to $50 for the class, but he has to pay $15 to register for the class as well as rent the camera. The number of days, d, that Jeremy can rent the camera is represented by the inequality 6d + 15 < 50. Select the number of days Jeremy can rent the camera with the money he has. A. 5 B. 6 C. 8 D. 9 E. 10
Answer:
A. 5
Step-by-step explanation:
6d+15<50
subtract 15 from both sides
6d<50-15
6d<35
divide both sides by 6
d<35/6
d<5 5/6
So he can only rent it for 5 days. If he rented for 6, it would be $51, which is too much.
Solving the given inequality for d, we get...
6d + 15 < 50
6d + 15-15 < 50-15 <<-- subtract 15 from both sides
6d < 35
6d/6 < 35/6 <<--- divide both sides by 6
d < 5.83
Which means that d can be any of the values in this set: {0, 1, 2, 3, 4, 5}
The smallest d can be is 0. In this scenario, Jeremy pays the $15 registration but doesn't rent the camera at all
The largest d can be is 5. In this scenario, Jeremy rents the camera for 5 days
Any larger value of d is not allowed as it would make the total cost go over $50
Notice how I'm rounding down regardless how close 5.83 is to 6
Whats up with brainly and the answers loading is it only me? someone comment ways to fix or im screwed
Answer: it's not working on my laptop but it seems to be working on the phone right now
Answer:
can somebody help asap !!!
Step-by-step explanation:
What is the value of m in the figure below? If necessary, round your answer to
the nearest tenth of a unit.
A. 6.7
B. 7.5
C. 3
D. 12
=================================================
Work Shown:
Use the geometric mean formula to find that BD = 6
BD = geometric mean of AD and DC
BD = sqrt(AD*DC)
BD = sqrt(12*3)
BD = 6
Then use the pythagorean theorem to find the missing side for triangle BCD
a^2+b^2 = c^2
(CD)^2 + (BD)^2 = (BC)^2
3^2 + 6^2 = m^2
m^2 = 45
m = sqrt(45)
m = 6.70820393249937 approximately
m = 6.7 after rounding to one decimal place
Image attached: some sort of triangle stuff
Answer:
C
Step-by-step explanation:
On edg 2020
HELP FIRST GET BRAINLLEST Measure the difference between the lower quartile of Data Set A and the lower quartile of Data Set B. Round to the nearest tenth when performing all operations.
Answer:
29
Step-by-step explanation:
To find the lower quartile you need to split it into 2 by finding the median
Set A: 73, 75, 79, 81, 84, 85
Set B: 47, 49, 51, 51, 55, 56
Now you have to find the median of each
A: 80
B: 51
Lastly, you subtract and get 29
What is the value of log,(5)1252
3
5
15
25
how to convert 3mm into cm
Answer:
0.3 cm
Step-by-step explanation:
1 cm = 10 mm
1) Using proportion:
1 cm ----- 10 mm
x cm ----- 3 mm
x = 1 cm * 3 mm/10 mm = 0.3 cm
2) 3 mm * 1cm/10mm = 0.3 cm
Answer:
3mm = 0.3 cm
Step-by-step explanation:
1 cm = 10 mm
3mm = 3/10 = 0.3cm
What is the value of x? (Use only the digits 0 - 9 and the decimal point, if needed, to write the number.)
x + 12.66 = 18
Answer: 5.34
Step-by-step explanation: 18 - 12.66 = 5.34
*PLEASE ANSWER ASAP* What is the area of this polygon on a coordinate plane?
Answer:
A. 14 square units
Step-by-step explanation:
Hey there :)
Well let's find the area of each individual rectangles.
Let's start with the side rectangle.
It has dimensions of 5*1 = 5.
5 square units
Now the 3 rectangles left have dimensions of 3*1=3,
3*3 = 9.
5+9=14
14 square units
Answer:
A, 14 square units
Step-by-step explanation:
What I would do is separate them into 4 shapes like the picture below
Because all of the shapes are rectangles, you can use the formula
[tex]A=L*W[/tex]
For shape #1, the length is 1 and the width is 3. Plot the numbers
[tex]A=1*3[/tex]
Multiply 1 by 3 to get
[tex]A=3[/tex]
The area of shape #1 is 3
The length and width of shape #2 and 3 are the same as 1, so you can multiply the area of shape #1 by 3 to get
[tex]3*3[/tex]
[tex]9[/tex]
The area of shape #1, 2, and 3 are 9.
Next, you want to find the area of shape #4 which has a length of 5 and a width of 1.
Use the same formula to get
[tex]A=5*1[/tex]
Multiply 5 by 1 to get
[tex]A=5[/tex]
The area of shape #4 is 5
The way to find the surface area of the whole figure is to add the area of all the shapes individually, or do what I did and add 5, to 9
[tex]A=5+9[/tex]
This gives you your answer which is
[tex]A=14[/tex]
Hope this helps.
Feel free to ask any more questions if you are confused.
Have a great day! :)
Leah wants to carpet a room that is 12 feet wide and 15 feet long. Carpeting is sold by the square yard. Find the length and width of the room in yards. Then find the number of square yards needed to carpet the room.
Answer:
length: 5 yd
width: 4 yd
area: 20 yd^2
Step-by-step explanation:
1 yd = 3 ft
15 ft * (1 yd)/(3 ft) = 5 yd
12 ft * (1 yd)/(3 ft) = 4 yd
A = LW
A = 5 yd * 4 yd = 20 yd^2
Answer:
20 yd²
Step-by-step explanation:
1 yd = 3 ft =>
=>w = 12ft×yd/3ft = 4 yd
=> l = 15ft×yd/3ft = 5 yd
A = l × w
= 5yd × 4yd
= 20 yd²
If your good in math pls help me I’m not that great and I’m ineed of help !
Answer:
The base is 2
Step-by-step explanation:
Exponents or powers are on top of the base.
[tex]2^x[/tex]
x is the exponent and the base is 2.
Golden Corral charges $11 for a buffet plus $1 for each drink. Western Sizzlin charges $9 for a buffet plus $2 for each drink. Which restaurant has the best dea 1. Write 2 equations to represent the 2 restaurants. Predict if these equations will be linear of nonlinear (how do you know?). If they are linear will the lines point upward or downward (how do you know?). And this one too Graph the system of equations. (Show your x/y tables) **Use a ruler or your answer will not come out correctly** or Slope- intercept simulation copy and paste And this one too What is the point of intersection on your graph? What does this mean? And this one tooo Which restaurant would you go to? Why?
Answer:
(golden corral) 11 + 1x = y. Western Sizzlin 9 +2x= y. These equations will be linear because these equations have the structure of y=mx+b, also when these equations are plotted on the graph they point upward. (I can't show a table, but I provided a pic of the graph so u can plot the points). The point of intersection is 2,13. The point of intersection means when the prices for both restaurants are equal to each other I would go to golden corral because if I have a lot of drinks it would be cheaper in the long run.
Step-by-step explanation:
Use desmos for problems like this it will save your life.
Which number is the largest 1.2 x 104, 4.5 x 10–3, 3.8 x 103, 7.5 x 103
The correct answer is the last one, 7.5 x 104. (the sum is 772.5)
Step-by-step explanation:if you multiply it the sum is 772.5, and all the other ones sum is less than 772.5
I hope this helped (:
Identify the underlined place value.
Glven: 775
The underlined value represents
lao
Answer:
[see below]
Step-by-step explanation:
There is no underlined numbers. I will do all of them.
In the number '775':
The first 7 is in the hundreds place. It represents the value of '700'. (775)The second 7 is in the tens place. It represents the value of '70'. (775)5 is in the ones place. It represents the value of '5'. (775)If you add all the values together, you get '775'.700 + 70 + 5 = 775
Brainilest Appreciated.
The linear combination method gives a solution of (–4, 2) for which of these systems of linear equations?
Answer:
[tex]3x + 13y = 14[/tex]
[tex]6x + 11y = -2[/tex]
Step-by-step explanation:
See Attachment for complete question
To determine which of the options has (-4,2) as its solution; we have to test each linear combination until we arrive at an answer;
Given that
[tex](x,y) = (-4,2)[/tex]
Testing Option A
[tex]3x + 13y = 14[/tex]
[tex]6x + 11y = -2[/tex]
Substitute [tex]x = -4[/tex] and [tex]y = 2[/tex] in [tex]3x + 13y = 14[/tex]
[tex]3(-4) + 13(2) = 14[/tex]
Open Brackets
[tex]-12 + 26 = 14[/tex]
[tex]14 = 14[/tex]
Substitute [tex]x = -4[/tex] and [tex]y = 2[/tex] in [tex]6x + 11y = -2[/tex]
[tex]6(-4) + 11(2) = -2[/tex]
Open Brackets
[tex]-24 + 22 = 2[/tex]
[tex]2 = 2[/tex]
In both cases, the expression on the right hand side equates to that on the left hand side;
Hence, there's no need to check for other options.
A machining company needs to manufacture more than 20 fixtures in a day. The company uses five identical machines to make the fixtures. If each machine produces x fixtures, which inequality represents this situation? A. 5x > 20 B. 5x 20 + 5 D. 5x < 20 + 5
Answer:
A. 5x>20
Step-by-step explanation:
Because the company has to produce more than 20 fixtures you need greater than 20 and you have 5 machines time the number they produce.
Hope this helps, if it does please mark brainliest!!
Answer two questions about Equations A and B:
A.
3(2+2) = 18
B.
2 + 2 = 6
1) How can we get Equation B from Equation A?
Answer:
All you have to do is to divide 3 to both sides in order to get rid of 3 and to get Equation B from A.
What’s the slope for this graphed?
A.5
B.1/3
C.2
D.3
Find the value of x in the triangle shown below.
Answer:
The valueof x is root under 41.
Hope this helps.
At a concession stand,three hot dog(s) and two hamburger(s) cost $8.25;two hot dog(s) and three hamburger(s) cost $8.00. Find the cost of one hot dog and the cost of one hamburger. What is the cost of one hot dog? $_____
Answer:
The cost of one hot dog and the cost of one hamburger is $3.25
The cost of one hot dog is $1.75
Step-by-step explanation:
Let the number of hot dogs be represented by d and hamburgers be h
3d + 2h = 8.25 ----- eqn(I)
2d + 3h = 8.00 ----- eqn(II)
From eqn(I): d = (8.25 - 2h)/3
substitute the expression for d into eqn(II)
2d + 3h = 8
2(8.25 - 2h)/3 + 3h = 8
(16.50 - 4h) + 3h(3) = 8(3)
16.50 - 4h + 9h = 24
5h = 24 - 16.50
5h = 7.50
h = 7.50/5 = 1.50
One hamburger costs $1.50
d = (8.25 - 2h)/3 = (8.25 - 2×1.50)/3 = (8.25 - 3.00)/3 = 5.25/3 = 1.75
One hot dog costs $1.75
Cost of one hot dog and cost of one hamburger = $1.75 + $1.50 = $3.25