Answer:
10692 cubic inches
Step-by-step explanation:
Since we are told to give the units in inches, let's convert the two values which are in feet.
1 ft= 12 inches
thus,
length 2.75 ft. = 33inch
breadth 4.5 ft. = 54 inch
and height is 6 inches.
Volume of a cube= length × width × height
= 33 × 54 × 6
= 10692 cubic inches
Donna borrowed $10, 500 at a simple interest rate of 4% for 3 years to buy her new car. How much interest would Donna pay and how much is the car altogether?
Donna borrowed $10,500 at a simple interest rate of 4% for 3 years to buy her new car. How much interest would Donna pay and how much is the car altogether ?
Answer:-Given:-[tex] \bullet [/tex] Principal (P) = $10,500
[tex] \bullet [/tex] Rate of interest (r) = 4%
[tex] \bullet [/tex] Time (t) = 3 years
To Find:-Interest of Donna and amount of car altogether.
Solution:-We know,
[tex] { \boxed{\rm \red {I \: = \frac{Prt}{100}}}} [/tex]
[tex] \therefore [/tex] I = [tex] \frac{10,500 \: × \: 4 \: × \: 3}{100} [/tex]
I = [tex] \frac{126,000}{100} [/tex]
I = $1260
Now,
Amount of the car = $ (10,500 + 1260)
= $ 11,760
$1260 interest would Donna pay and $11,760 is the car altogether. [Answer]Step-by-step explanation:
We know that Interest = Principal×Rate×Time/100
So,
10,500×4×3/100
= 10,500×3/25 (by cancelling 100 by 4)
=31500/25
= 1260
Therefore,
$1260 Answer
hope it helps.....
Please help and explain how you got the answer I am also being timed so please answer quickly thank you for your time
Answer:
I got you!
The correct answer is B Fitteen is less than r
To translate that into a numerical inaquiltiy, that is 15<r but the answer to the question is B.
Hope this helps!
Brainliest would be nice!
Answer:
B
Step-by-step explanation:
Hello There!
An inequality must include < or > which means greater than or less than
This meaning that the inequality when shown by using words must include the is less than or more (sometimes greater) than
The answer would be B because it uses the expression is less than which can be represented by the inequality sign <
15 is less than r
exchange the inequality sign with is less than
15 < r
they still have the same meaning and it is written as an inequality
Reasons why its not the other answer choices
For A:
Four times 0.45 plus x
written as an expression:
4(0.45+x)
the expression does not include < or > therefore the statement "Four times 0.45 plus x " cannot be written as an inequality
For C:
Half the product of 4 and s
written as an expression:
[tex]\frac{4s}{2}[/tex]
once again the expression does not include an inequality sign therefore C is not the answer.
For D:
eight times p is 20
written as an expression
8p = 20
Like the other answer choices the expression does not include an inequality sign therefore D is not the correct answer choice
Kenneth started saving for retirement at age 40 with plans to retire at age 70. He invested an average of $400 per month in various securities, with an average annual return of 7% adjusted for inflation. Assuming monthly compounding, how much has Kenneth saved at the start of retirement.
A. $487,988.40
B. $720,421.84
C. $37,784.31
D. $556,559.8
Answer:
487,988.40
Step-by-step explanation:
I took the test
a person eats 100 bananas in 1 second likelihood
Answer:
Not very likely
Step-by-step explanation:
Brₐinliest plz
En Cartagena de cada 10 personas 4 tienen una enfermedad, a este ritmo ¿cuántas personas se contagiarán si son 400 personas?
porfa para ya
ayudaaaaaaa
Answer:
Se contagiarian 160 personas.
Step-by-step explanation:
Para este problema debenos usar la siguiente regla de tres:
[tex]\frac{10(personas)}{4(enfermas)}=\frac{400(personas)}{x(enfermas)}[/tex]
Ahora, debemos despejar x de la ecuacion de arriba.
[tex]x=\frac{400(personas)*4(enfermas)}{10(personas)}[/tex]
[tex]x=160(enfermas)[/tex]
Por lo tanto, se contagiarian 160 personas.
Espero te haya sido de ayuda!
HELP I NEED HELP ASAP
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Write the equation of the line that passes through (-4, 3) and is perpendicular to the line y = 7/5x-2/5
Answer:
y - 3 = (-5/7)(x + 4)
Step-by-step explanation:
The given line, y = 7/5x-2/5, has a slope of 7/5. Any line perpendicular to this one must have a slope tht is the negative reciprocal of 7/5, which is -5/7.
Use the point-slope formula to come up with an equation for this new line:
y - 3 = (-5/7)(x + 4)
The rabbits ate three fifths of the celery crop in each of 8 gardens. What fraction of celery crop did they eat in all?
Answer:
The answer is a
Step by step
Multiplication
8×5 = 40
8×3 = 21
21/40
Step-by-step explanation:
A laptop carry bag cost $30. The total cost will include an 8% sales tax. Which expression can be used in calculating the total cost with tax?
Answer:
30+8%=C
Step-by-step explanation:
place the cost of the bag first then add the precent and make it equal to C wich is cost
8) The volume of a cuboid 12cm long 9 sm broad and 6 cm high is
a) 648 cm b) 648 m3
c) 648 cm3 d) 648 m
[tex] \color{magenta} \huge{ \tt{{Answer}}}[/tex]
8.) The volume of a cuboid 12cm long 9 sm broad and 6 cm high is?
A.) 648 cmNote: My answer is base on my understanding to your question.
Hopefully Help:)
#CarryOnLearning_MafiaQueen4
solve for x by finding the missing side of the triangle. Round your answer to the nearest tenth
Answer:
i thought i had the answer but then i got it wrong im sorry
Step-by-step explanation:
Answer:
Step-by-step explanation:
Remark
The side opposite (the side not connected to the angle) and the hypotenuse relate the sine
Equation
Sin(y) = opposite / hypotenuse
Solution
y = 41 degrees
hypotenuse = 12
x = ?
Sin(41) = x / 12 Multiply both sides by 12
12 Sin(41) = x
Sin(41) = 0.6561
12 * 0.6561 = x
x = 7.8727
Mangi surveyed students about their favorite types of music. Find the ratio of students who chose dance to the total number of students surveyed. Favorite Music Pop 7 Country 5 Dance 4
Answer:
1 : 4
Step-by-step explanation:
Given:
Favorite Music :
Pop _____ 7
Country __ 5
Dance ___ 4
Total number of students surveyed :
(pop + country + dance). = (7 + 5 + 4) = 16
Number who chose dance = 4
Ratio of dance to total number surveyed
4 : 16 = 1 : 4
1 :4 (lowest term)
Solve the system of equations using the elimination method. 2x − 3y = 50;7x + 8y = −10
A. (0, 5)
B. (6, 10)
C. (10, −10)
D. (3, −3)
Answer: C. (10, -10)
Step-by-step explanation:
Given
1) 2x-3y=50
2) 7x+8y=-10
Multiply both sides of 1) equation by 3.5
1) 3.5(2x-3y)=3.5×50
7x-10.5y=175
2) 7x+8y=-10
Subtract 2) equation from the 1)
(7x-10.5y)-(7x+8y)=175-(-10)
-18.5y=185
y=-10
x=10
(10, -10)
Hope this helps!! :)
Please let me know if you have any questions
Hi people I need help on this question can y’all help me pls!!!!!! Thanks
Can you solve the inequalities 9.50(70+x)≥1000
Answer: x_>(70+x_>)1000
Step-by-step explanation:
Answer:
35.26315789
Step-by-step explanation:
Question: 9.5(70+x)≥1000
70+x≥1000/9.5
(divide by 9.5 into both sides)
70+x≥105.2631579
x≥105.2631579-70
(minus 70 into both sides)
x≥670/19
x≥35.26315789
Maggie is rock climbing. After reaching the summit, she descends 14 feet in 213 1 3 minutes. If she continues at this rate, where will Maggie be in relation to the summit after 8 minutes?
Answer:
48 feets
Step-by-step explanation:
Given that:
Maggie descends 14 feets in 2 1/3 minutes
14 feets takes 7/3 minutes
The amount of feets she descends after 8 minutes will be x ;
14 = 7/3
x = 8
Cross multiply
7/3 * x = 14 * 8
7x /3 = 112
7x = 112 * 3
7x = 336
x = 336 / 7
x = 48 feets
Which option below best describes the maximums of these two functions? Function g has the greater maximum of 2. Functions g and h have the same maximum of -2. Functions g and h have the same maximum of 2. Function h has the greater maximum of -2.
Answer:
salak
Step-by-step explanation:
#1. Use substitution to solve the system of equations
y = 6x
2x + 3y = -20
Solution: (
Answer:
I hope this would help you:)
Someone help if right will mark brainiest
Answer:
D, 3/5
Step-by-step explanation:
Sin equals opposite over hypotenuse.
The side opposite of Z is 30, the hypotenuse is 50
30/50 simplifies to 3/5
What is the slope of the line below?
1. 1/4
2. −1/4
3. 2
4. −2
Answer:
2
Step-by-step explanation:
Answer:
It is number three{ 3) 2 }I hope that is useful for you :)
Simple Composite figures question. Find the area of the shape.
9514 1404 393
Answer:
453.9 m²
Step-by-step explanation:
It considerably simplifies the area calculation to assume the figure decomposes to a parallelogram and an equilateral triangle.
The area of the parallelogram is ...
A = bh
A = (17 m)(6 m) = 102 m²
The area of the equilateral triangle—using the given altitude—is ...
A = 1/2bh
A = 1/2(17 m)(14.7 m) = 124.95 m²
The area of the whole figure is double the sum of these areas, so is ...
A = 2(102 m² +124.95 m²) = 453.9 m²
The area of the shape is 453.9 m².
__
Additional comment
Unless we make some assumptions about the location of the concave exterior angle at the left and right, we cannot compute the area of the figure. At least, we must assume the 10 m segments are parallel. If that is the only assumption, and other dimensions are taken at face value, the area of the figure computes to about 453.4 m². As you can see from the attachments, the altitude of 14.7 is not quite enough to make the triangle equilateral. That prevents the quadrilateral from being a parallelogram.
Further dividing the quadrilateral along its short diagonal, various lengths and angles can be found using the law of sines and the law of cosines. Then the figure area can be found as the sum of triangle areas: two triangles in the quadrilateral, and the one with altitude 14.7. This alternate approach is shown in the second attachment.
For the following set of temperatures recorded during 7 days in Hartford, find the mean.
51º, 530, 640, 499, 64º, 540, 50°
The mean is
Answer:
means is 339.142 degrees
Step-by-step explanation:
mean= sum of all values /number of values
mean=2374/7
mean=339.142
PLEASEPLEASE ANSWER IM BEGGING JSJDJDJ
A pontoon boat is traveling 25 miles per hour in the direction of S 65° W. If it hits a current traveling at 6 miles per hour in the N 15° W direction, find the resultant vector.
Answer:
resultant vector = 25.2
Step-by-step explanation:
we apply cosine theorem
-3x=6.3
what is x value
Answer:
-2.1 so you divide 6.3 and -3 and then boom that your answer
Answer:
[tex]x=-2.1[/tex]
Step-by-step explanation:
1. Solve the equation using division
[tex]\frac{-3}{-3} x=\frac{6.3}{-3}[/tex]
2. Solve equation
[tex]x=-2.1[/tex]
3. Check answer
[tex]-3(-2.1)=6.3\\6.3=6.3[/tex]
A rope 13 meters long will just reach from the top of a flagpole to a point on the ground 12 meters from teh base of the flagpole. Find the height of the flagpole
Answer:
the height of the flagpole is 5 meters
Step-by-step explanation:
The computation of the height of the flagpole is given below
Given that
the length of the rope is 13 meters
And, the ground would be 12 meters
Based on the above information, the height of the flagpole is
= √13^2 - √12^2
= √169 - √144
= √25
= 5 meters
hence the height of the flagpole is 5 meters
1. Write a similarity statement if the triangles are similar
2. If the traingles are similar, state the triangle similarity postulate (shortcut) you used to prove similarity.
U
36
73
30
15
D
E
Answer:
The triangles are not similar
Step-by-step explanation:
The sides are not proportional
36/73 does not equal to 15/30
determine the value of f(3) for the function f(x)=2x+4
Answer:
f(3)=10
Step-by-step explanation:
got the answer right on a test!
Mrs. Thomas and Mrs. Maas were folding report cards to send home to parents. The ratio of the number of report cards Mrs. Thomas folded to the number of report cards Mrs. Maas folded is :. At the end of the day, Mrs. Maas folded a total of 273 report cards. How many did Mrs. Thomas fold?
Answer: 182 report cards
Step-by-step explanation:
The ratio of the number of report cards Mrs. Thomas folded to the number of report cards Mrs. Maas folded is 2:3.
Mrs. Maas folded 273 report cards so the number of report cards folded by Mrs. Johnson can be found using direct proportion. Assume Mrs. Johnson folded x report cards:
2 : 3
x : 273
Cross multiply to get:
3x = 546
x = 546 / 3
x = 182 report cards
yolandas mother was born in 1975 how old is her mother ?
45 OR 46
It depends on which month and day she is born on in 1975.
If you want it from todays current date, she would be 46.
If her birthday is the 11 / 04 / 1975 (eleventh of April) - 31 / 12 / 1975 (thirty-first of December) then she is 45 years old. If her birthday has already passed in 2021 she is 46.