Answer:
We conclude that the interest rate required to accumulate simple interest of $3,000 from a principal of $ 6,000.00 over 2 years is 25% per year.
Step-by-step explanation:
Given
Principle P = 6000
Time period t = 2 years
Interest I = 3000
To determine
Interest rate r = ?
Using the formula
I = Prt
r = I / Pt
substituting P = 6000 , t = 2, and I = 3000
r = 3000 / ( 6000 × 2 )
r = 3000 / 12000
r = 0.25
convering the decimal into percentage: 0.25×100 = 25%
r = 25%
Therefore, we conclude that the interest rate required to accumulate simple interest of $3,000 from a principal of $ 6,000.00 over 2 years is 25% per year.
Eudora ran from her home to her secret laboratory at an average speed of 12\text{ km/h}12 km/h12, start text, space, k, m, slash, h, end text. She then took one of her jetpacks and flew to her school at an average speed of 76\text{ km/h}76 km/h76, start text, space, k, m, slash, h, end text. Eudora traveled a total distance of 120120120 kilometers, and the entire trip took 222 hours. How long did Eudora spend running, and how long did she spend flying using her jetpack? Eudora ran for hours and flew for hours using her jetpack.
Answer:
Eudora spent 0.5 hours from home to library and 1.5 hours from library to school
Step-by-step explanation:
Given
Home to Library:
[tex]S_1 = 12km/h[/tex] -- Average Speed
Library to School
[tex]S_2 = 76km/h[/tex] -- Average Speed
Total
[tex]Distance = 120km[/tex]
[tex]Time = 2\ hr[/tex]
Required
Determine the time taken from home to library and from library to school
Let the time spent from home to library be x. So, from library to school will be: 2 - x
So, we have:
Home to Library:
[tex]S_1 = 12km/h[/tex] -- Average Speed
[tex]T_1 =x[/tex] -- Time
Library to School
[tex]S_2 = 76km/h[/tex] -- Average Speed
[tex]T_2 =2 - x[/tex] -- Time
Distance is calculated as:
[tex]Distance = Speed * Time[/tex]
Home to Library:
[tex]D_1 = S_1 * T_1[/tex]
[tex]D_1 = 12 * x[/tex]
[tex]D_1 = 12x[/tex]
Library to School:
[tex]D_2 = S_2 * T_2[/tex]
[tex]D_2 = 76 * (2- x)[/tex]
[tex]D_2 = 152- 76x[/tex]
The total distance is 120km. So, we have:
[tex]120km = D_1 + D_2[/tex]
[tex]120 = 12x + 152 - 76x[/tex]
Collect Like Terms
[tex]120 - 152 = 12x - 76x[/tex]
[tex]-32 = -64x[/tex]
[tex]-64x=-32[/tex]
Solve for x
[tex]x = \frac{-32}{-64}[/tex]
[tex]x = 0.5[/tex]
Recall that:
[tex]T_1 =x[/tex]
[tex]T_2 = 2 - x[/tex]
So, we have:
[tex]T_1 = 0.5[/tex]
[tex]T_2 = 2 -0.5 = 1.5[/tex]
(2x-14) = (3x-6) how do I solve this
Step-by-step explanation:
there you go that is how you solve
Answer:
x=-8
Step-by-step explanation:
Given: 2x-14=3x-6
+14 +14
-----------
2x=3x+8
-3x -3x
--------------
-1x=8
--- ---
-1 -1
-------------
x= -8
Hope this makes sense
There are 2 gallons for every 8 quarts. If there are 12 quarts, how many gallons are there?
Step-by-step explanation:
To convert from gallons to quarts, multiply the gallon value by the conversion factor. For example, if converting from US fluid gallon to US fluid quart, then multiply the gallon value by 4. For example, to find out how many quarts in a half gallon of water, multiply 4 by 0.5, that makes 2 quarts in a half gallon.
Is 40/8 an integer or no
Answer:
yes it is
Step-by-step explanation:
Answer:
It is, because it is equal to 5.
whoever guesses my birth month first gets the brainliest
Which of the values of m and b will create a system of equations will infinitely many solutions y=mx+b ,y=-2x+4
I hope and useful for your help
Explain why two perpendicular lines will remain perpendicular if they are both dilated by the same factor
and using the same center
Answer:
because they are congruent to the original angle
Step-by-step explanation:
they are congruent to the original triangle. nothing will change.
The two perpendicular lines will remain perpendicular because it should be congruent to the original angle.
What is congruent?The Two geometric figures should treated be congruent in the case when it should have coincided. Since the both perpendicular lines are dilated by the same factor also the same center should be used due to this, the two perpendicular lines should remain perpendicular.
Therefore, The two perpendicular lines will remain perpendicular because it should be congruent to the original angle.
Learn more about lines here: https://brainly.com/question/24271130
solve for x 6(4x+1)=78
Answer:
x=3
Step-by-step explanation:
here,
6(4x+1)=78
or,24x+6=78
or,24x=78-6
or,24x=72
or, x=72/24or, x=3SO, THE ANSWER IS: 3.The sum of 3 consecutive integers is 78. What is the integer closest to zero?
Answer:
25
Step-by-step explanation:
Let n be the first integer.
Then the second integer will be (n + 1).
And the third will be (n + 2).
The sum is 78. Therefore:
[tex]n+(n+1)+(n+2)+78[/tex]
Solve for n. Combine like terms:
[tex]3n+3=78[/tex]
So:
[tex]3n=75[/tex]
Therefore:
[tex]n=25[/tex]
Therefore, the first integer is 25.
So our sequene is 25, 26, and 27.
The integer closest to zero will thus be 25.
Sarah had $195. She used $164 to pay for clothes and spent the rest at a restaurant.
Part A
Enter an equation that can be used to represent the amount, r, Sarah spent at the restaurant.
Answer:
195 - 164 = r
Step-by-step explanation:
This is how I would solve for the amount that Sarah spent at the restaurant. She had 195 total, subtract by 164 because we know she spent that, and whatever is left she spent at the restaurant.
Hope it helps!
What is the greatest common factor of
8x - 28
please help please help
Answer:
i think it is the last one
Step-by-step explanation:
I believe the answer is D, it would make the most sense because that one has the most unique property's that would apply to a unique quadrilateral
Which expression is equivalent to 1/3 divided by 1/6
Answer:
The answer is A
Step-by-step explanation:
cross mutliply
1×6=6
1×3=3
divide the answers
result: 2
I hope this helps
what is the slope of (4,-6) and (4,4)
Answer:
Undefined
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(4-(-6))/(4-4)
m=(4+6)/0
m=10/0
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If the total labor cost is $865,000 and $78,000 is for parking attendants, what percentage of the yearly labor cost is for the parking staff?( round to the nearest percent.)
Answer:
9%
Step-by-step explanation:
The percentage of the yearly labour cost for the parking staff is 9%.
What is the percentage?The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that if the total labour cost is $865,000 and $78,000 is for parking attendants.
The percentage of the yearly labour cost for the parking staff is calculated below:-
Percentage = 78000 / 865000
Percentage = 0.09 x 100
Percentage = 9%
Therefore, the percentage of the yearly labour cost for the parking staff is 9%.
To know more about percentages follow
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Graph the relation shown in the table. Is the relation a function? Why or why not?
x y
-1 - 3
-1 - 2
0 - -4
4 - 2
No; a vertical line passes through two graphed points.
Yes; no horizontal line passes through two graphed points.
Yes; no vertical line passes through two graphed points.
No; a horizontal line passes through two graphed points.
Answer:
The chosen topic is not meant for use with this type of problem. Try the examples below.
x + 6 y = 5
6 x + 2 y = 8
x − y + 4 = 8
Use the given functions to set up and simplify
2 .
x y =
− 1 =
3 =
− 1 =
2 =
0 − 4 = − 4
4 = − 4
2 = − 4
Step-by-step explanation:
Find the equation with a point and y-intercept.
y = ( y/ x − y ) x + x y
The chosen topic is not meant for use with this type of problem. Try the examples below.
( 0 , 9 ) , ( 8 , 6 )
( 0 , 9 ) , ( 5 , 4 ) , ( 1 , 4 )
( 1 , 2 ) , ( 3 , 4 )
i make games check me out
https://www.freeriderhd.com/u/thecoykid
click on created tracks and then click on a game to play
who ever tells me how they are AND plays them gets brainliest
Answer:
lolll i love those games rn im playing one abt a lil guy on a bike
Plz help offering 100 and will give branliest to teh first who answers! what is
2+2?????????
Answer:
4
Step-by-step explanation:
Answer:
its 4 u should know this LOLLLL
Step-by-step explanation:
Eli started saving money in his empty piggy bank. He inserted $1 on every Monday, $2 on every Tuesday, $3 on every Wednesday, $4 on every Thursday, $5 on every Friday, $6 on every Saturday, and $7 on every Sunday. At the end of 24 days, he opened his bank and found he had $93. On which day of the week did he start inserting money into his piggy bank?
Answer:
Tuesday
Step-by-step explanation:
Given:
Monday: $1
Tuesday: $2
Wednesday: $3
Thursday: $4
Friday: $5
Saturday: $6
Sunday: $7
And after 24 days he had $93
____
So lets convert 24 days into weeks. A week has 7 days we divide 24/7 and get 3.42857 weeks or just have it as 3 weeks and 3 days.
24 days = 3 weeks and 3 days
Now we want to know how much does Eli make in 1 week, we add all the numbers 1 + 2 + 3 + 4 + 5 + 6 + 7 = 28
Eli makes $28 in one week. And (28x3) in three weeks which is $84.
Now that we know that Eli made $84 in three weeks, we have three days left - now we calculate the difference.
93 - 84 = 9
Now these 9 dollars are split into three days. This means he started on Tuesday since Saturday is $7 and Monday is $1 and that sums it up to $8 and the first dollar was placed in his piggy bank on a Tuesday.
Safie can write a minimum of five questions per hour and a maximum of eleven questions per hour. What is the difference betwwen the last possible amount of hours and the greatest possible amount of hours Safie will need to write 275 questions?
A. 6
B. 16
C. 30
D. 800
Answer:
The difference is 30 hours
Step-by-step explanation:
Proportions
Safie can write a minimum of 5 questions per hour and a maximum of 11 questions per hour.
To write 275 she takes a maximum of 275/5=55 hours and a minimum of 275/11=25 hours.
The difference is 55 hours - 25 hours = 30 hours
the inequality p=4 describes the number of pounds of apples, p, Bill needs when he is making apple strudel? Explain
Answer:
No, Bill needs more than 4 pounds of apples to make apple strudel.
Step-by-step explanation:
If 4 pounds isn't enough then neither would 3.5. So he need more pounds to make the strudel.
HELP ASAP! GIVING BRAINLY
use the slope formula to find the slope between (-5,2) and (0,4)
Answer:
2/5
Step-by-step explanation:
Slope
[tex] = \frac{4 - 2}{0 - ( - 5)} = \frac{2}{0 + 5} = \frac{2}{5} \\ [/tex]
Calculate the size of angle x.
Give your answer to 1 decimal place.
8 cm
11 cm
15 cm
Answer:
45.6° (1 d.p)
Step-by-step explanation:
Using the cosine rule;
c = √( a² + b² - 2ab Cosx)
11 =√(8² + 15² - 2 (8) (15) Cosx)
11² = 8² + 15² - 240 Cosx
11² - 8² - 15² = - 240 Cosx
-168 = -240 cosx
cosx = 0.7
x = cos⁻¹ (0.7) = 45.57 ≈ 45.6°
Answer:
45.6
Step-by-step explanation:
Please help!!!!!!!!!! I need this answer ASAP
Answer choices:
-1
0
1
2
3
Answer:
0, 1
Step-by-step explanation:
You can see in the table that where f(x)=g(x) the number in both cells corresponding to one x is the same. So 0 and 1
Answer:
0 and 1
Step-by-step explanation:
Graph these 2 functions on a graphing calc and you'll see that there are 2 points of intersection, 0 and 1. You can check it by plugging it into the function and seeing if they both match up.
URGENT!!!!
Which of the following equations would not contain the point (4,12) y=3/4x+9 y=-1/2x+14 y=1/2x+8 y=-2x+20
Answer: y = 1/2x + 8
Step-by-step explanation:
Andy buys 8 juice boxes. Each juice box contains 6.25 ounces of juice. How much juice did Andy buy?
Answer:
8*6.25=50
50
Step-by-step explanation:
Gianna has 10 yards of fabric. She needs 2/5 of what she has. How much does she need?
Answer:
why does she have so much
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
Because 2/5 x 10/1 = 4
GUYS AM I CORRECT?? I WILL MARK U BRAINLEST IF I GET IT RIGHT
Answer:
Yes you are correct.
Answer:
None of the above
Step-by-step explanation:
Your answer is correct. :)
Help me out please, I really need an explenation... I don’t get it...
Just as a plane figure can have mirror lines of symmetry, so can a solid have mirror planes of symmetry dividing it into mirror-image halves. Thus, a cuboid has three planes of symmetry dividing it into two halves.
D. 3
3(10m - 2)+(3+6m-3)
Answer:
3(10m - 2)+(3+6m-3)
30m-6+3+6m-3
30n+6m-6+3-3
36m-6
6(6m-1)
Answer:
36m - 6
Step-by-step explanation:
3 ( 10m - 2 ) + ( 3 + 6m - 3 )
→ Expand the brackets
30m - 6 + 3 + 6m - 3
→ Simplify
36m - 6