Answer:
C
Step-by-step explanation:
6⁴ = 24
6(‐²) = -12
24 -12 = 12
12÷ 6 = 2
so 12²
What is the volume of a hemisphere with a diameter of 7.6 m, rounded to the nearest tenth of a cubic meter?
Answer:
114.9 meter
Step-by-step explanation:
v=(2/3)πr^3
diameter=2r
r=7.6/2
r=3.8
(2/3)π* (3.8)^3
~36.58π meter
if the teacher wants you to use 3.14 as π (like instead of writing the symbol of π), then 36.58*3.14=114.9 meter
Charles needs a $10,000 loan in order to buy a car. Which loan option would allow him to pay the LEAST in interest? A) A 2-year loan with a 4.75% interest rate compounded annually. B) A 3-year loan with a 4.00% interest rate compounded annually. C) A 4-year loan with a 3.75% interest rate compounded annually. D) A 5-year loan with a 3.00% interest rate compounded annually.
formula used : [tex]\sf A = P(1 + \dfrac{r}{n})^{nt}[/tex]
============================
✔A) A 2-year loan with a 4.75% interest rate compounded annually.
[tex]\hookrightarrow \sf A = 10,000 (1 + \dfrac{4.75\%}{1})^{(1)(2)}[/tex]
[tex]\hookrightarrow \sf A = \$10,972.56[/tex]
interest : $10,972.56 - $10,000 = $972.56B) A 3-year loan with a 4.00% interest rate compounded annually.
[tex]\hookrightarrow \sf A = 10,000 (1 + \dfrac{4.00\%}{1})^{(1)(3)}[/tex]
[tex]\hookrightarrow \sf A = \$11248.64[/tex]
interest : $11,248.64 - $10,000 = $1248.64C) A 4-year loan with a 3.75% interest rate compounded annually.
[tex]\hookrightarrow \sf A = 10,000 (1 + \dfrac{3.75\%}{1})^{(1)(4)}[/tex]
[tex]\hookrightarrow \sf A = \$11586.50415[/tex]
interest : $11,586.50415 - $10,000 = $1586.5D) A 5-year loan with a 3.00% interest rate compounded annually.
[tex]\hookrightarrow \sf A = 10,000 (1 + \dfrac{3.00\%}{1})^{(1)(5)}[/tex]
[tex]\hookrightarrow \sf A = \$ 11592.74074[/tex]
interest : $11,592.74074 - $10,000 = $1592.74Thus loan of 2-year loan with a 4.75% interest which is compounded annually will allow him to pay the least interest of only $972.56.
The least interest is 972.56 dollars. Then he has to select a 2-year loan with a 4.75% interest rate compounded annually.
What is compound interest?Compound interest is the interest on a loan or deposit calculated based on the initial principal and the accumulated interest from the previous period.
We know that the formula for the amount will be
[tex]A = P (1 + r) ^t[/tex]
A = Amount
P = Loan amount
r = rate of interest
t = time
The interest is given as
Interest = A - P
Charles needs a $10,000 loan in order to buy a car.
A) A 2-year loan with a 4.75% interest rate compounded annually. Then the amount will be
[tex]\rm A = 10000(1.0475)^2\\\\A = 10972.56[/tex]
Then the interest will be
Interest = 10972.56 - 10000
Interest = 972.56
The amount of interest is $972.56.
B) A 3-year loan with a 4.00% interest rate compounded annually. Then the amount will be
[tex]\rm A = 10000(1.04)^3\\\\A = 11248.64[/tex]
Then the interest will be
Interest = 11248.64 - 10000
Interest = 1248.64
The amount of interest is $1248.64.
C) A 4-year loan with a 3.75% interest rate compounded annually. Then the amount will be
[tex]\rm A = 10000(1.0375)^4\\\\A = 11586.50[/tex]
Then the interest will be
Interest = 11586.50 - 10000
Interest = 1586.50
The amount of interest is $1586.50.
D) A 5-year loan with a 3.00% interest rate compounded annually. Then the amount will be
[tex]\rm A = 10000(1.03)^5\\\\A = 11592.74[/tex]
Then the interest will be
Interest = 11592.74 - 10000
Interest = 1592.74
The amount of interest is $1592.74.
More about the compound interest link is given below.
https://brainly.com/question/25857212
The average weight of a male African elephant is 15,000 pounds. How many tons is this?
HELP ASAP!!! DUE IMMEDIATELY!!!
3. Find Each Angle Measure. you only need to say the answer and on which one. I will be giving extra points to those who answer and answer legitimately
Answer:
Angle ABD is 16 degrees and Angle DBC is 74 degrees
Step-by-step explanation:
Question 6. x+9+11x-3=90. 12x+6=90 -6 on both sides and 12x=84 divide each side by 12 and x= 7 angle ABD is x+9 so 7 +9= 16. Angle measure of ABD is 16 degrees. Measure of angle DBC is 11x -3 so 11 times 7=77. 77-3= 74. So the measure of angle DBC is 74 degrees and this answer is right because they both add up to be 90 degrees. Hope this helped! :)
If angle three is equal to 6x+16 and angle seven is equal to 2x+2 , solve for x.
Answer:
-3.5
Step-by-step explanation:
6x + 16 = 2x + 2
4x = -14
x = -3.5
Step-by-step explanation:
3 and 7 are equal because they are corresponding angles
6x+16=2x+2
6x-2x=2-16
4x= -14
x= -3.5
A counter recorded 254 revolutions of the bicycle wheel diameter 5/4 how far did bicycle travel use 22/7 for pi
Answer:
In 254 revolutions, the bicycle will travel [tex]997.85m[/tex].
Circumference :
The circumference of bicycle is given as,
[tex]C = \pi d[/tex]
Where [tex]d[/tex] is diameter of bicycle.
Given that, [tex]d = \frac{5}{4}, \pi = 22/7[/tex]
Substitute values in above equation.
[tex]C = \frac{22}{7} * \frac{5}{4}[/tex]
[tex]C = \frac{110}{28} = 3.93[/tex]
In 254 revolutions of the bicycle wheel is, [tex]C = 254 * 3.93 = 997.85m[/tex]
In 254 revolutions , the bicycle will travel [tex]997.85m[/tex]
Learn more about the Circumference of circle here:
brainly.com/question/14283575
Your question was incomplete. Complete question is here:
"A counter recorded 254 revolutions of the bicycle wheel shown below how far did the bicycle travel. Use 22/7 as pi and the diameter of the wheel is 5/4."
Solve this problem using the part-to-whole method
_____________________________________________________
Sofia went to the bakery and bought 12 cupcakes. Out of the 12 cupcakes, she has 3 chocolate flavored. What is the percentage of chocolate cupcakes?
Hank pays $186 a week to rent a room. Next week his landlord is going to raise his rent to $196 per week. What is the percent of increase?
Answer:
The percent of increase is 5%
Step-by-step explanation:
Solve the inequality 5y+4 ≤ 22-y and graph the solution set on a number line. Please explain how to do it!
Answer:
y≤3
Step-by-step explanation:
5y+4≤22−y
Step 1: Simplify both sides of the inequality.
5y+4≤−y+22
Step 2: Add y to both sides.
5y+4+y≤−y+22+y
6y+4≤22
Step 3: Subtract 4 from both sides.
6y+4−4≤22−4
6y≤18
Step 4: Divide both sides by 6.
6y/6≤18/6
y≤3
Hey there!
Let's solve your inequality step-by-step.
[tex]\fbox{5y+4≤22−y}[/tex]
Step 1: Simplify both sides of the inequality.
[tex]\fbox{5y+4≤−y+22}[/tex]
Step 2: Add y to both sides.
[tex]\fbox{5y+4+y≤−y+22+y}[/tex]
[tex]\fbox{6y+4≤22}[/tex]
Step 3: Subtract 4 from both sides.
[tex]\fbox{6y+4−4≤22−4}[/tex]
[tex]\fbox{6y≤18}[/tex]
Step 4: Divide both sides by 6.
[tex]\fbox{6y/6 ≤ 18/6}[/tex]
[tex]\fbox{y≤3}[/tex]
Answer:
[tex]\fbox{y≤3}[/tex]
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The fifth-grade teachers returned to school after the summer vacation and found all of the students’ desks in the hallway. The custodians agree to put all of the desks into the fifth-grade classrooms and arrange them. How could the desks in each classroom be arranged using the following student enrollment numbers?
64+25220 Find the volume of each figure. Round your answers to the nearest whole, if necessar 20) 19) 5 yd 7 yd 8 yd 5 cm 6 cm 4 cm 8 yd 7 yd 4 cm 6 cm 3 con sum
Answer:
19) 280 cm³
20) 120 cm³
Step-by-step explanation:
v= l×w×h
19) 7×5×8 = 280
20) 6×5×4 = 120
Determine a series of transformations that would map polygon ABCDE onto polygon A'B'C'D'E'?
What is 6 5/7 rounded around the nearest whole number
Answer:
7
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
5/7 is 0.714....
7 is greater that 5 so u round up to 7
if one box has a surface area of 240 inches what is the surface area of 5 boxes??
#answernowuwuplease
Answer:1200
1 box=240
so if you take 240 x5 you get 1200
Step-by-step explanation:
can someone help please?
Answer:
A
Step-by-step explanation:
Because rational numbers always terminate
What is the area of the figure below?
40[tex]mm^{2}[/tex]
88[tex]mm^{2}[/tex]
80[tex]mm^{2}[/tex]
96[tex]mm^{2}[/tex]
Answer:
88mm^2
Sorry for not answering it early I know this answer is probably useless for you now
Step-by-step explanation:
Ok, suppose we were to divide this figure into two parts figure 1 & 2
like this... the picture is goven above
So, we can clearly see that figure 1 is a square as it has equal dimensions
and figure 2 is a rectangle because it should given in ur question but this is the only way to find out the area
So in figure 1 the dimensions are already give that the square is 8mm and on the other hand in figure 2 it is a rectangle, here only length is given - 6mm but width is not given. To find out the width it's simple, since the base of figure 1and2 is 12mm and the base of figure 1 is 8cm we can subtract it to get there rest of the base that is the base of figure 2.
So we get,
Base of figure 2 = Total base - Base of figure 1 = 12mm - 8mm = 4mm
Now since we have the dimensions, we only have to find the area of those two figures and add both areas to get the total are of the whole figure.
Area of figure 1
Area of square = side*side = 8*8 = 64mm^2
Area of figure 2
Area of rectangle = length*breadth = 4*6 = 24mm^2
Total area of the figures
Area of figure 1 + Area of figure 2 = 64mm^2+ 24mm^2 = 88mm^2
Estimate Each quotient. 1. 12.5/5 2. 17.5/8 3. 23.7/6
Answer:
1.) 3
2.) 2
3.) 4
Eric started at sea level. He descended 13.7 meters and then ascended 15.2 meters. Write an addition expression in the form Descent + Ascent to represent this situation. Then calculate the sum and explain what it represents.
(A) (
) +
(B) The sum of
represents Eric’s location compared to
Choose...
here is your picture for the question
If you draw a right triangle inside a sphere, which statement about the legs of the right triangle is TRUE?
Each leg of the right triangle is greater than the radius of the sphere.
Each leg of the right triangle is equal to the hypotenuse of the sphere.
Each leg of the right triangle is less than the radius of the sphere.
Each leg of the right triangle is equal to the radius of the sphere.
Answer:
The 3rd one if I'm not mistaken. Correct me if I'm wrong, I'm so so sorry if it's incorrect
Answer:
Each leg of the right triangle is equal to the radius of the sphere.
Step-by-step explanation:
I took the quiz and it was right
Another KA question pls answer lol
Answer:
-40m + 24
Step-by-step explanation:
to answer this question you should distribute the -8 to all the digits
-8m + 24 -32m
then you can add like terms
-8m and -32m become -40m
-40m + 24 is the answer
The Pythagorean theorem states that a² + b² = c² for a right triangle with leg lengths, a and b, and hypotenuse length, c.
The hypotenuse of a right triangle is 5 units long and has the points (4, 0) and (0, 3) as end points. One of the legs has length 4.
Use the Point and Segment tools to draw a right triangle that demonstrates the other leg length is 3.
Step-by-step explanation:
They have already done the math for you, you just need to draw a line with the length of 3 units, so it would look like this:
Rotation: 180° about the origin
It costs $100 to join a fitness center, plus a monthly fee. You spent $700 last year at the fitness center. How much was the monthly fee? Write and solve an algebraic equation to determine the monthly fee.
Answer:
Monthly fee is $50
Step-by-step explanation:
100 + 12x = 700
12x = 600
x = 50
100 being the initial fee, 12x being the monthly fee (as there is 12 months in a year).
Walt grew 10 centimeters in one year. He is now 1.6 meters tall. How tall was Walt one year ago in centimeters? (4 points)
150 centimeters
160 centimeters
1,500 centimeters
1,600 centimeters
Answer:
CORRECT OPTION IS 150 CENTIMETERS OR YOU CAN SAY 1.5M :)
Step-by-step explanation:
GIVEN:
Walt grew 10 cm in one year
He is now 1.6m
SOLUTION:
We know that 1 m = 100cm
So 1.6 m = 160cm
So one year ago he was:
160 - 10 = 150cm
So he was 150 cm or 1.5 m one year ago.
Hector is using wood to build a dog house. Each wall is 4/7 of a yard tall and 3/5 of a yard wide. Know that the area of each wall is the base times the height, how many square yards of wood will he need to build 4 walls of equal size?
a
1 2/3
b
1 13/35
c
12/35
d
1 4/12
Q2
Which of the following is equivalent to 4/10 x 3/8?
a
4 ÷ (10 x 3) ÷ 8
b
(4 + 3) x (10 + 8)
c
(4 x 3) ÷ (10 x 8)
d
(4 - 3) ÷ (10 - 8)
Answer:
a
Step-by-step explanation:
b
A jewelry store recently sold 24 bracelets and 28 other pieces of jewelry. Based on past data, how many of the next 65 pieces of jewelry sold should you expect to be bracelets?
Answer:
30
24 : 28 would equal 6 : 7
[tex]6/13[/tex] x 65 = 30
Use the proportion of the bracelets
The no. of bracelets are expected to sold are 30 pieces.
What are ratio and proportion?A ratio is a comparison between two similar quantities in simplest form.
Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
Given that, A jewelry store recently sold 24 bracelets and 28 other pieces of jewelry, which is 6 : 7 so, for every 6 pieces of bracelets 7 pieces of other types of jewelry are sold.
∴ No. of pieces of bracelets expected to sold are,
= 6/(6 + 7)×65.
= (6/13)×65.
= 6×5.
= 30 pieces.
learn more about ratios here ;
https://brainly.com/question/13419413
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The regular price of an item is s dollars. If the item is on sale for 25% off the regular price, which expression represents the sale price, in dollars, of the item?
Answer:
0.75s
Step-by-step explanation:
The expression would be 0.75s where 0.75 represents the cost of the item after the 25% sale, and s representing the regular cost of the item.
Hope this helps :)
Please help ASAP
A dart is thrown at the board 100 times at random.
About how many times is it likely to land in the shaded area?
The number of times that it is likely to land in the shaded area will be 40 times out of 100 times.
What is probability?Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences. Then the probability is given as,
P = (Favorable event) / (Total event)
A dart is thrown at the board 100 times at random.
The number of times that dart hit the board is 40 times. Then the probability is calculated as,
P = 40 / 100
P = 2/5
P = 0.40 or 40%
More about the probability link is given below.
https://brainly.com/question/795909
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Use the image to solve. I'm pretty sure it would be undefined but im not sure.
Thanks
Answer:
This line has a slope of 0, with the equation being y = -4
Step-by-step explanation:
Slope can be found with change in y over change in x
[tex]\frac{-4--4}{-2--3} =\frac{-4+4}{-2+3}=\frac{0}{1} =0[/tex]
Note: We can tell by just looking at the line it will have a slope of 0. A line straight up and down vertically is one with an undefined slope, but a horizontal line has a slope of 0 since there is no incline/decline.
Graph the image of △UVW after a reflection over the line y=-x
Will give brainliest if correct!
Answer:
Step-by-step explanation:
Rule: (x, y) → (-y, -x)
This means that the x, will now become y, and the y will now become x.
U (-7, -4) → (4, 7)
V (1, -4) → (4, -1)
W (-5, -9) → (9, 5)
U' (4, 7)
V' (4, -1)
W' (9, 5)
*View the attached graph*
Yellow is the original figurePurple is the figure after a reflection over the line y=-xHope this helps!