Answer:
D) -22 < 25
Step-by-step explanation:
If the number is 47 units to the right, then the number will be larger than -22, because negative values get larger the closer they are to zero.
47 units right from -22 is the same as: -22 + 47, which equals 25.
So, we can conclude that -22 < 25 is the inequality.
hope this helps!
Mr. Vance opened an account with a deposit of $650.
• The bank pays 1.25% interest compounded annually on this account.
• Mr. Vance makes no additional deposits or withdrawals.
How much interest will the account have earned at the end of 12 years?
Answer:
$104.49
Step-by-step explanation:
The future value of the account is given by the formula ...
FV = P(1 +r)^t
The interest earned is the difference between that future value and the original amount deposited.
I = FV -P
__
For the given investment, rate, and time, we find the interest to be ...
I = $650((1 +0.0125)^12 -1) = $650(0.160755) = $104.49
Mr. Vance's account will have earned $104.49 in interest at the end of 12 years.
Determine the equation of the line shown in the graph:
10
-8 -6 -4 -2.
-
I
y = -1
y = 0
Ox=-1
X=0
Answer:
X=-1
Step-by-step explanation:
As you can see the line is not intercepting at y also
If f(x)=3x^6+4x^3-4, then what is the remainder when f(x) is divided by x+1?
Answer:
-5
f(-1) would be the remainder
1.5 = 0.25 + g
solve the equation and find the value of the variable
Answer:
its easy it should be 1.25 or well that the answer I got
The point B is at the centre of the circle. The points P and Q are on the circumference of the circle. Calculate the area of the shaded sector. Take it to be 3.142 in your working. Give your final answer to 1 decimal place.
Answer: 24.7 square cm
Step-by-step explanation:
can someone help me ?
Answer:
Make 2 rectangles and find perimeter and then divide by 2.
Step-by-step explanation:
Hope that helps.
Roger has a rope that is 3 feet long.He needs to cut it into 12 equal length pieces.How many feet loń should each piece of the rope be?
Answer:
0.25
Step-by-step explanation:
3/12 is 0.25
3 divided by 12 when simplified or reduced
The fraction 3/12 is equal to the exact decimal number.
Peter is saving to buy a new skateboard. He deposits the same amount each week into his savings account. How much money does he save each week?
Week Money in Savings Account
0 $12.00
1 $17.75
2 $23.50
3 $29.25
A cone with a height of 4 in, and a diameter of 6 in. Find the surface area and Volume
if its diameter is 6, then its radius is half that or 3.
[tex]\textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h }{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=3\\ h=4 \end{cases}\implies V=\cfrac{\pi (3)^2(4)}{3}\implies V=12\pi \\\\[-0.35em] ~\dotfill\\\\ \textit{surface area of a cone}\\\\ SA=\pi r\sqrt{r^2+h^2}+\pi r^2\qquad \implies \qquad SA=\pi (3)\sqrt{3^2+4^2}+\pi (3)^2 \\\\\\ 3\pi \sqrt{25}+9\pi \implies 3\pi (5)+9\pi \implies 15\pi +9\pi \implies 24\pi[/tex]
Write the number names 438543=
ii)80,100,001
Answer:
Four lakhs thirty eight thousand five hundred fourty three.
ii)Eight crore ten lakhs one
Follow me friend
Answer:
i)four hundred thirty eight thousand five hundred forty three
ii) eighty million one hundred thousand one
You want to save for retirement. assuming you are now 25 years old and you want to retire at age 50, you have 25 years to watch your investment grow. you decide to invest in the stock market, which has earned about 13% per year over the past 80 years and is expected to continue at this rate. you decide to invest $1,000 today. required: how much do you expect to have in 25 years?
Answer:
4250
Step-by-step explanation:
0.13 = 13%
1000×0.13=130
130×25= 3250 + 1000 = 4250
What I did:
You have to turn the percent to a decimal first
Then multiply the decimal by the first investment amount (1000)
then multiply that by the years that you have before retirement
You add that amount plus the 1000 you have started with
PLEASE SOMEONE HELP!!
Is 336 − –5,083 positive or negative?
Answer:
positive
Step-by-step explanation:
if you subtract a negative number, it’s the same as adding a positive number. If you add 2 positive numbers, you get a positive number, so the expression is positive.
Find c.
Write your answer in simplest radical form.
Answer:
c = 3.46
Step-by-step explanation:
use tangent to find c
2 tan 60 = c
firstly label the sides
let me know if you need further explanation on how I got my answer
You have 31 coins consisting of nickels and
dimes. The coins total $2.25. How many coins
are nickels? How many are dimes?
Answer:
There are 14 dimes and 17 nickels.
Step-by-step explanation:
Let x be number of nickels and let y be number of dimes.
Given that the total is $2.25 and there are 31 coins, we know that:
[tex]0.05x +0.10y = 2.25[/tex]
[tex]x+y = 31[/tex]
Solving for x yields:
[tex]x=31-y[/tex]
We then proceed by plugging that back into the previous equation:
[tex]0.05(31-y)+0.10y=2.25[/tex]
[tex]1.55 - 0.05y +0.10y = 2.25\\[/tex] --> Distribute
[tex]1.55 +0.05y=2.25[/tex] --> add y's together
[tex]0.05y=0.7[/tex] --> subtract 1.55
[tex]y=14[/tex] --> divide by 0.05
Therefore, x must equal 17, which means you have 14 dimes and 17 nickels.
Find the perimeter of the composite figure using pi
Answer:
(3 +1.5π) ft ≈ 7.71 ft
Step-by-step explanation:
We see a semicircle, not a "composite figure." The perimeter of the semicircle is the sum of the length of the arc and the length of the straight edge:
P = (1/2)πd +d . . . where d is the diameter and πd is the full circumference
P = d(1 +π/2)
P ≈ (3 ft)(1 +1.57) = 7.71 ft . . . . . using 3.14 for π
The perimeter of the figure is about 7.71 feet.
__
In terms of pi, the perimeter is ...
P = (3 +1.5π) ft
How do u solve this equation? I’m struggling with it.
2a+3c=61
3a+5c=96
Answer:
a=17
c=9
Step-by-step explanation:
balls
Answer:
c=9 and a=17
Step-by-step explanation:
1. 2a+3c=61
2. 3a+5c=96
the LCM between 2 and 3 is 6 so
equation 1 *3
3.6a+9c+183
equation 2*2
4. 6a+10c=192
equation 3 - equation 4
5. -c=-9
c=9
substitute c into equation 1 or 2 to find a
3a+5(9)=96
3a+45=96
3a=51
a=17
HELP been stuck for 1 hour please
Answer:
B
Step-by-step explanation:
First, we find the equivalent decimal numbers:
-1.75 = -1.75
-7/10 = -0.7
-1 5/7 = -1.7142...
-0.07 = -0.07
Descending order of the equivalent decimal numbers:
-0.07, -0.7, -1.7142..., -1.75
Now we replace the equivalent decimal numbers with the original numbers.
-0.07, -7/10, -1 5/7, - 1.75
Answer: B
Please help me on this equation
3 3/4 ÷ 5/7 =
Answer:
5 1/4
Step-by-step explanation:
3 3/4 / ( 5/7) =
15/4 / ( 5/7) =
15/4 * 7/5 =
(15*7) / (4*5 )
105 / 20 = 5 1/4
Answer:
5.25
Step-by-step explanation:
Turn mixed number into a improper fraction.
Divide fraction by 20.
It doesn’t matter if 5 1/4, or 21/4 or 5.25., they all equal the same.
18
p.7 Central Angles and Inscribed Angles
#4 What is the measure, in degrees, of arc JKI ?
4) MJKI
80°
K
mJKI =
degrees
Answer:
280°
Step-by-step explanation:
There are 360° in a circle. you are given an arc that is 80°.
To find the arc JKI, subtract 80 from 360.
360 - 80 = 280°
דיי יוטורסם
$9000 is invested at 8% compounded quarterly. In how many years will the account have grown to $14,500?
Round your answer to the nearest tenth of a year
Find the volume of the prism or compound shape.
The volume of the compound shape, that is the object formed by two hemispheres and a right cylinder is 66π in³.
How to determine the volume of the compound shape
The volume is the space occupied by an object. The volume of the compound shape equals the sum of the individual volumes, that is, of each part, which are represented by two hemispheres and a right cylinder.
Now we proceed to determine the volume of the compound shape (V), in cubic inches, by apply the following calculation:
V = (4/3) · π · (3 in)³ + π · (3 in)² · (10 in)
V = 66π in³
The volume of the compound shape, that is the object formed by two hemispheres and a right cylinder is 66π in³. [tex]\blacksquare[/tex]
To learn more on volumes, we kindly invite to check this verified question: https://brainly.com/question/13338592
What can you take from 60 to make 20?
40.
60 - 20 = 40.
Very simple.
based on the diagram given, find the value of x and y
Answer:
x = 6 , y = 2
Step-by-step explanation:
81x + 10 = 5y + 486 ............ (1)
9x + 40 = 20y + 54 ............ (2)
(1) × 4 - (2)
315x = 1890
x = 6 -------> (2)
9(6) + 40 = 20y + 54
20y = 94 - 54
y = 2
PLS HELP ME ILL GIVE YOU BRAINIEST
Which temperature during the week is farther from 0? Explain how you decided this using absolute value
Answer:
The farthest temperature from zero during the week is 5 °F because it's absolute value, 5, is the highest out of all the other numbers.
Step-by-step explanation:
Find the length of the third side. If necessary, round to the nearest tenth
Pythagorean Theorem (Rounding)
Consider the number 9,953.
Is this number divisible by 2, 3, 4, 5, 9, or 10? Provide justification for
each number without using a calculator.
Hint: If a number is not divisible by 2, then what other numbers is it
also not divisible by?
Write your answer in complete sentences.
Answer:
No for all of them
Step-by-step explanation:
2 --> not even
3 --> of the sum of the numbers are not divisible by three
4 --> the last two digits are not equal to a multiple of four
5 --> the last digit is not ending with 0 or 5
9 --> the sum of the digits is not equal to a multiple of nine
10 --> the last number is not zero
Identify the solution to the system of equations
{x=-2y-6 -3x-7y=18
Answer:
(- 6, 0 )
Step-by-step explanation:
x = -2y - 6 → (1)
- 3x - 7y = 18 → (2)
substitute x = - 2y - 6 into (2)
- 3(- 2y - 6) - 7y = 18 ← distribute parenthesis and simplify left side
6y + 18 - 7y = 18
- y + 18 = 18 ( subtract 18 from both sides )
- y = 0 , then
y = 0
substitute y = 0 into (1)
x = - 2(0) - 6 = 0 - 6 = - 6
solution is (- 6, 0 )
Answer:
(x, y) = (-6, 0)
Step-by-step explanation:
A system of equations is easily solved using a graphing calculator. The attached shows the solution to be ...
(x, y) = (-6, 0)
__
The first equation gives a convenient expression for substituting for x in the second equation:
-3(-2y -6) -7y = 18
18 -y = 18 . . . . . . . . simplify
y = 0 . . . . . . . . add y-18
x = -2(0) -6 = -6
The solution by substitution is (x, y) = (-6, 0).
(1+sint)/(cost)-(cost)/(1-sint)
[tex]\dfrac{1+\sin(t)}{\cos(t)} - \dfrac{\cos(t)}{1-\sin(t)}[/tex]
Multiply through the second term by [tex]1+\sin(t)[/tex] :
[tex]\dfrac{1+\sin(t)}{\cos(t)} - \dfrac{\cos(t)}{1-\sin(t)}\cdot\dfrac{1+\sin(t)}{1+\sin(t)}[/tex]
[tex]\dfrac{1+\sin(t)}{\cos(t)} - \dfrac{\cos(t)(1+\sin(t))}{1-\sin^2(t)}[/tex]
Recall that [tex]\cos^2(x)+\sin^2(x)=1[/tex] for all x :
[tex]\dfrac{1+\sin(t)}{\cos(t)} - \dfrac{\cos(t)(1+\sin(t))}{\cos^2(t)}[/tex]
If [tex]\cos(t)\neq0[/tex], we can cancel a factor of it in the second fraction.
[tex]\dfrac{1+\sin(t)}{\cos(t)} - \dfrac{1+\sin(t)}{\cos(t)}[/tex]
and this simplifies to
[tex]\dfrac{(1+\sin(t))-(1+\sin(t))}{\cos(t)} = \boxed{0}[/tex]