Answer:
y = 15 - 3.6x.
Step-by-step explanation:
The initial amount of fuel before cruising begins = 15,000 gallons.
The equation is y = 15 - 3.6x where y is in thousands of gallons and x = number of hours.
The future value of an investment is 10,110.28 if money was originally invested at 3.5% compounded semi annually for 5 years what was the amount of the original investment
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Actually Welcome to the Concept of the Compound Interest.
Since we know that formula for the Compound interest is :-
A= P(1+r/n) ^nt
here, A = total amount received at end, P= initial amount invested, r= rate of interest in decimal, t= time of years and n= frequency per year, so we get as,
=>10110.28 = P(1+0.035/2)^2*5
=>10110.28 = P (1+0.0175)^10
=>10110.28= P(1.0175)^10
=>so finally we get as
=>P= 1011.28/1.1894
=> P= 8500
Using Concept of the Compound Interest, the amount of the original investment was $8500.
What is Compound interest?Compound interest is a method of calculating the interest charge. In other words, it is the addition of interest on interest.
Compound Interest =A= P(1+r/n) ^nt
Where, A = total amount received at end, P= initial amount invested, r= rate of interest in decimal, t= time of years and n= frequency per year,
Therefore, we get as,
10110.28 = P(1+0.035/2)^2 x 5
10110.28 = P (1+0.0175)^10
10110.28= P(1.0175)^10
so finally we get as;
P= 1011.28/1.1894
P= 8500
Using Concept of the Compound Interest, the amount of the original investment was $8500.
Learn more about interest here;
https://brainly.com/question/1548909
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Please help me, this is assignment is due soon.
Kirk claims that he is thinking of a number in his head. He states that if he doubles the number he is thinking of and adds this result to five more than the number the sum will be two more than three times the original number he was thinking about.
Could the number Kirk is thinking of be 10? Justify.
Which number, if any, is Kirk thinking of? Justify.
Answer:
False because after you solve the equation it is less than 30
3 is the correct answere
Step-by-step explanation:
2x+5=3x+2
-2x. -2x
5=x+2
-2. -2
3=x
⚠️⚠️ please answer the question!! Marking brainliest ⚠️⚠️
Answer:
Step-by-step explanation:
y intercept= -5
slope=4/5
Answer:
y-intercept is (0,-5)
determine whether each number is a solution of the given inequality 2m - 4 > 10
Answer:
what this question make NO sence. please elaborate.
Step-by-step explanation:
I just need help with this algebra question 1 and 2 part!!
Answer:
rate of change: -3000 feet per minute
the rate of change is showing how many feet the plane descents each minute
Math help please! - ( 5/5 )
Answer: -24
Step-by-step explanation: Convert the decimal into a fraction. Use -a/b=a/-b=-a/-b, to rewrite the fraction. Simplfy the complex fraction. Multiply both sides of the equation by 6. Move constant to the right-hand side and change its sign. Add the numbers Divide both side of the equation by -5 and you get -24.
Points $A$ and $B$ have the same $y$-coordinate of 13, but different $x$-coordinates. What is the sum of the slope and the $y$-intercept of the line containing both points?
Answer:
13
Step-by-step explanation:
This one sounds really hard, but its actually really easy once you think about it.
The problem states that both y coordinate are 13, but have different x coordinates. It asks for the sum of the slope and the y intercept. The y intercept will always have 0 as x.
To find a slope, the equation is y2-y1/x2-x1. In this case, we don't actually know what x is. But we do know what y is:
13-13/x2-x1
0/x2-x1
0
So the slope is 0.
Since we know that the y intercept has to have 0 as x, we don't actually need to know what x is.
So the y intercept is 13.
13+0=13.
how.would i solve this
Triangles LNM and SRT are similar, so corresponding angles are congruent. In particular, angles M and T are congruent. The interior angles of any triangle sum to 180º in measure, so
65º + 55º + (2x + 30)º = 180º
Solve for x :
(2x)º + 30º = 60º
(2x)º = 30º
x = 15
10.2•.78
please show work, it’s for a test.
Answer:7.956
Have a good day
Step-by-step explanation:
Answer:
7.956
Step-by-step explanation:
10.2*0.78 can be rewritten as 102*78*0.001. I'd split this even further, since I'm doing it in my head, into (100*78+2*78)*0.001. One step at a time.
100*78=7800
2*78=140+16=156
7800+156=7856+100=7956
7956*0.001=7.956, which is the answer, and is confirmed by a calculator
Solve the inequality.
-x - 14 > 6x + 8 + 4x
Answer:
x<-2
Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
−x−14>10x+8
Step 2: Subtract 10x from both sides.
−x−14−10x>10x+8−10x
−11x−14>8
Step 3: Add 14 to both sides.
−11x−14+14>8+14
−11x>22
Step 4: Divide both sides by -11.
−11x
−11
>
22
−11
x<−2
PLEASE HELP QUICK!!!! m ∠ 2 is 60°. m ∠4 is half of m ∠2. What is m ∠3?
Answer:
fourty five
Step-by-step explanation:
LEAST TO GREATEST PLSSS
Answer:
-0.8, 7/9, √3
Step-by-step explanation:
can someone help me plz
Answer:
communitive
Step-by-step explanation:
You changed +2 and -x
Answer:
Communitive.
Step-by-step explanation:
I believe I am right. I hope this helps you :)
-3x+4y=24 in slope form
Answer:
y=3/4x+6
Step-by-step explanation:
Move the 3x to the other side and divide by 4.
Write an expression to represent the water temperature after the submarine’s final dive. Then simplify the expression to find the temperature.
Answer:
63.25°F − 2.2°F = 61.05°F
Step-by-step explanation:
Answer:
61 1/20 °F
Step-by-step explanation:
63 1/4 °F -2 1/5 °F =61 1/20 °F
A local park is in the shape of a square. A map of the local park is made with the scale 1 inch to 200 feet. If a straight path in the park is 900 feet long, how long would the path be when represented on the map?
Answer:
600 ft per side
Step-by-step explanation:
1 in = 200 feet
12 in = 1 foot
12 in * 200 ft= 2400 ft
2400/4 = 600 ft per side
I will give brainiest How does the function y = -2x + 6 differ from the linear parent function?
So the parent function is y=x, right? y=-2x+6 is different because the slope is -2 (which flips the line so it's now going from left to right while also being more "taller", and the line's y-intercept is 6, while on the parent function, the y-intercept is 0.
Parent function: y = x (or y=mx+b)
Your function: y = -2x+6
6 = y-intercept (b)
-2 = slope (m)
Hope this helps!
Shoes are $50 a pair. Brian got $250 for his birthday. Which of the following is an equation to solve for this?
Answer:
We need the options But I’m guessing 50 + x = 250
Step-by-step explanation:
Find the value of x.
Answer:
....................................???
.....................................???
Answer:
x = 98
Step-by-step explanation:
180 - 122 = (gives the interior angle)
= 58
24 + 58 + ______ = 180
= 98
What’s the width of the box?
Helppppp please !!!!!
Answer:
The answer is A) 1/8^2
Step-by-step explanation:
Both of the equations simplified equal 1/64.
2\3n = -12 what value of n makes this equation true
Answer:
-0.055555555555556
Step-by-step explanation:
How can I solve the Jose moped question because I am confused?
Answer:
BRuh just send jose to the cleaners
Step-by-step explanation:
Plllssss ASAP help!!!!
One word.... Brainliest
Please try ur best!!
Answer:
12. 27/200
13. 68
14. 6 (It's asking for greatest common factor)
10. During a December the high temperature in New Mexico was 68° F. The
same month, the low temperature was -15° F. What was the difference
between the two temperatures?
Answer:
83
Step-by-step explanation:
68-(-15)=68+15=83
Which of these sequences of transformations would not return a shape to its original position?
Group of answer choices
1. Translate 3 units up, then 3 units down.
2. Reflect over line p, then reflect over line p again.
3. Translate 1 unit to the right, then 4 units to the left, then 3 units to the right.
4. Rotate 120∘ counterclockwise around center C, then rotate 220∘ counterclockwise around C again.
Answer:
4. Rotate 120∘ counterclockwise around center C, then rotate 220∘ counterclockwise around C again.
Step-by-step explanation:
Option 1, 2 and 3 will return a shape back to its original because:
1. 3 units up and 3 units down are direct opposite and will cancel out one another. Hence, the shape will return to its initial position.
2. Reflect over line p, and over p again.
This actions are also direct opposite and also have the same effect as (1)
3. Translate 1 unit to the right and 3 units to the right.
This equates to 4 units to the right and it will cancel out the translation of 4 units to the left.
4. Rotate 120 counter clockwise and another 220 counterclockwise will not make a shape go back to its original position.
Hence:
4 answers the question
A machine paints 360 toy boats in 45 minutes. What is the unit rate per hour?
Answer:
480 toy boats in one hour
Step-by-step explanation:
Pls help me 20points
Answer:
your adding 4y for every 1x
Step-by-step explanation:
9. Find the slope represented in the table
below. Show all work.
Х
y
7
-30
11
-54
13
-66
20
- 108
Answer:bruh I’m still tryna figure this out
Step-by-step explanation:
5. (a) (x + 2y)(-3)
Answer:
- 3x - 6y
Step-by-step explanation:
Given
(x + 2y)(- 3) ← multiply each term in the parenthesis by - 3
= - 3x - 6y