Answer:
Step-by-step explanation:
G = 2M
G + M = 60
2M + M = 60
3M = 60
M = 20 years
1 pts
Compute the total amount accumulated if you invested $850 for 4 years at 2.4% compounded
semiannually. Round your answer to the nearest cent and include '$' in your response.
9514 1404 393
Answer:
$935.11
Step-by-step explanation:
The amount is given by the formula ...
A = P(1 +r/n)^(nt) . . . P invested at rate r for t years compounded n per year
A = $850(1 +0.024/2)^(2·4) = $935.11
The amount accumulated will be $935.11 after 4 years.
Use front end rounding to round each number. Then add the rounded
numbers to get an estimated answer. Finally, find the exact answer.
35.25
197.39
+ 4.835
Step-by-step explanation:
A35 (whole number )35.3 (1 decimal place)35.28 (2 decimal place)B197 (whole number )197.4 (1 decimal place)197.39 (2 decimal place)C5 (whole number )4.8 (1 decimal place)4.89 (2 decimal place)8. What is the value of x in the diagram?
A
E
429
B
49
D
32°C
Answer:
D. \(10^{\circ}\)
Step-by-step explanation:
Let the measure of minor arc \(AE\) be \(\alpha\) and the measure of minor arc \(BD\) be \(\beta\).
Using the secant-secant theorem, \(\frac{\alpha-\beta}{2}=32 \implies \alpha-\beta=64^{\circ}\).
By the inscribed angle theorem, \(\alpha=84^{\circ}\).
Thus, \(\beta=20^{\circ}\).
By the inscribed angle theorem, \(x=10^{\circ}\).
What is the distance between -80 and 8?
Answer:
-88
Step-by-step explanation:
i did -80-8 =-88 and to make sure you do -88+8 and you get 80 so -88 is the distance between -80 and 8
The blue dot is at what value on the number line?
???????
Answer:
The blue dot is -19
Step-by-step explanation:
Since every 2 ticks are worth 6 (|-10|-|-4|=6), then one tick is worth 3.
We are going backward, so we can count backward.
We have to go down 3 ticks, so -10-3=-13; -13-3=-16; -16-3=-19.
The blue dot is -19
PLEASE MARK AS BRAINLIESTAnswer: The blue dot equals to -19.
Step-by-step explanation:
On the number line, there are the numbers -10 & -4.
-7 would fit in the middle of them. That means the number line goes by minus 3.
Count -10 , -13, -16, then you get on the the blue dot which is -19.
Therefore, -19 is the answer.
PLEASE MARK AS BRAINLIESTTo construct a hexagon inscribed in a circle, match the corresponding steps to the proper order. For example start with “1” as the first step and “6” being the last step, please.
Steps to construct a regular hexagon inscribed in a circle are given by:
Step 1
Draw a circle with center A and a point on the circle B.
Step 2
Measure AB with a compass to get the distance of the radius.
Step 3
Place compass on point B and draw another circle with the same radius.
Step 4
Mark the new intersection points C and D. Move compass to point C with the same setting and draw another circle with the same radius.
Step 5
Continue drawing the circles this way until you have 6 points of intersection.
Step 6
Connect all intersection points to form the hexagon.
fill in the blank. a function f is a rule that assigns to each element x in a set a exactly one element(s) called f(x) in a set b. which of the following tables defines y as a function of x?
A function f is a rule that allocates exactly one element called f(x) in set B to each element x in set A. Y is described as a function of x in Table I.
Table i) defines y as a function of x because for each value of x, there is exactly one value of y assigned to it. This satisfies the definition of a function that each element in set A should be assigned to exactly one element in set B. In contrast, Table ii) does not define y as a function of x because for x=1, there are two different values of y assigned to it (5 and 7), violating the definition of a function. Therefore, the answer is Table i). A function f is a rule that allocates exactly one element called f(x) in set B to each element x in set A.
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Complete Question
fill in the blank. A function f is a rule that assigns to each element x in a set A exactly ___ element(s) called f(x) in a set B. Which of the following tables defines y as a function of x?
Table i) x - 1, 2, 3, 4 & y - 5, 7, 6, 8
Table ii) x - 1, 1, 2, 3 & y - 5, 7, 6, 8
A group of people were asked how many people live in their household. How many said they have 3 or more in their household?
Answer:
11
Step-by-step explanation:
we know this because there are 5 people saying they have 3 and 6 people saying they have between 4-7
Does anyone know this?
Answer: i think it's 942,480
Step-by-step explanation:
i just multiplied all of the numbers but i'm probably wrong srry
Answer:
7986m^2
Step-by-step explanation:
140-102=38
area of triangle:
(38*66)/2=1254m^2
area of rectangle:
66*102=6732m^2
total area:
1254+6732=7986m^2
11/12 - 5/8 in simplest form
Answer:
7/24
Step-by-step explanation:
11/12 - 5/8
Get a common denominator of 24
11/12 * 2/2 = 22/24
5/8 *3/3 = 15/24
22/24 -15/24 = 7/24
Which set of ordered pairs represents a linear relationship?
Answer:
Were there options or do we just have to make up some ordered pairs that would be a linear relationship? Maybe there was a image?
Solve the following system of equations:
Answer:
The correct answer is option B: (-1, -1).
Step-by-step explanation:
The easiest way to solve this system is using elimination, or by adding the two equations together. We don't have to modify the equations at all, since the x's will already cancel out as written.
Upon addition, we get:
9y = -9
If we solve the equation by dividing both sides by 9, we get:
y = -1
To find the x value, we can substitute this value back into either of our original equations.
6x + 4y = -10
6x - 4 = -10
To solve for x, we should isolate the variable, or get it alone on one side of the equation.
6x = -6
x = -1
Therefore, the solution to the system of equations is x = -1 and y = -1, or (-1, -1), which is option B.
Finding Angles By Deg
Determine if the angle described is 'acute', 'obtuse',
1) 180°
2) 46°
3) 53°
Answer:
1) Obtuse
2) Acute
3) Acute
Step-by-step explanation:
Anything under 90 degrees is an Acute angle, while anything above is an Obtuse. A 90 degree angle is a right angle.
Please Brainiest!
Our school has 500 students. Ms. Stevens orders 22
boxes of pencils. Each box has 24 pencils. Will she
have enough pencils to give one to each student?
Answer:
Yes, and 28 extra.
Step-by-step explanation:
If we know that there are 24 pencils per box, and that she ordered 22 boxes, we can take the equation 24*22 which equals 528.
Answer:
Yes, she will have plenty.
Step-by-step explanation:
If there are 22 boxes, all of which with 24 in them, then she will be just fine. 22 times 24 is 528, meaning there will not only be enough pencils, but there will be some extra.
Since there are 500 students in the school, each student can get a pencil, with 28 extra pencils left.
22x24=528
528-500=28
I hope this helps!
-No one
1. 25/120 as a decimal
2. 1 7/8 as a decimal
3. 1/6 as a decimal
4. 11/40 as a decimal
5. 5 13/50
Answer:
1. 0.2083
2. 1.875
3. 0.16666667
4. 0.275
5. 5.26
Brainliest Please! :)
1.2 divided by 0.3 asp asp
Answer:
4
Step-by-step explanation:
Answer: 4
Step-by-step explanation:
Natasha is cutting construction paper into rectangles for a project. She needs to cut one rectangle that is 20 inches × 15 1 4 inches. She needs to cut another rectangle that is 10 1 2 inches by 10 1 4 inches. How many total square inches of construction paper does Natasha need for her project? Mixed number
Charles can type 675 words in 9 minutes. How many words can he type per minute?
Group of answer choices
6075 words per minute
75 words per minute
86 words per minute
75 minutes per word
Answer:
675 devided bye 9 = 75
Step-by-step explanation:
Answer: 75 words per minute
Step-by-step explanation:
We can set this problem up similar to a ratio
675:9
Knowing that this is for 9 minutes, dividing by 9 will give you the amount per one minute
675/9 9/9
75:1 or 75 words per minute
What is the slope of the line below
Answer:
The answer is option A
Slope of the line using points
( 2,0) and (0, 3)
Slope = 3 - 0 / 0 - 2 = -3/2
Hope this helps
Start at the y-intercept of 3 on the coordinate system.
Remember, when choosing points, chose clear
cut points where the line crosses them.
The next put is on the x-intercept and it's 2.
To get from (0,3) to (2,0), we go down 3 units and run 2 units.
Since our slope is going down, it's negative.
So the slope is -3/2.
Every 2 centimeters on a floor plan represents
meters of the house. The dining room is 8 cm by
10 cm on the floor plan, and the bedroom is 6cm by10cm on the floor plan. If installing tile costs $34
per square meter and installing carpet costs $21 per
square meter, how much would it cost to install tile
in the dining room and install carpet in the bedroom?
Show your work.
Given statement solution is :- It would cost $680 to install tile in the dining room and $315 to install carpet in the bedroom.
To find the cost of installing tile in the dining room and carpet in the bedroom, we need to calculate the areas of both rooms first.
Given:
Every 2 centimeters on the floor plan represents 1 meter of the house.
Dining Room:
On the floor plan, the dining room is 8 cm by 10 cm.
Converting this to meters, the dimensions of the dining room are 8 cm / 2 = 4 meters by 10 cm / 2 = 5 meters.
The area of the dining room is 4 meters * 5 meters = 20 square meters.
Bedroom:
On the floor plan, the bedroom is 6 cm by 10 cm.
Converting this to meters, the dimensions of the bedroom are 6 cm / 2 = 3 meters by 10 cm / 2 = 5 meters.
The area of the bedroom is 3 meters * 5 meters = 15 square meters.
Now, let's calculate the costs.
Cost of Tile:
The cost of installing tile is $34 per square meter.
The area of the dining room is 20 square meters.
Therefore, the cost of installing tile in the dining room is 20 square meters * $34/square meter = $680.
Cost of Carpet:
The cost of installing carpet is $21 per square meter.
The area of the bedroom is 15 square meters.
Therefore, the cost of installing carpet in the bedroom is 15 square meters * $21/square meter = $315.
Therefore, it would cost $680 to install tile in the dining room and $315 to install carpet in the bedroom.
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Jenna is buying 5 new shirts at $15 each. Which of the following is NOT a way to write a calculation for how much money
Jenna is spending?
A)15.5 = 75
B)15/5= 75
C)5 x 15 = 75
D) 15+ 15 + 15 + 15 + 15 = 75
Answer:
B, because thats dividing, which equals 3. for the answer A, did you mean 15*5?
Step-by-step explanation:
Can someone help me please
Answer:
x=9 since 2x9=18 and 18-8=10
what is the property of 3x(5x7)=(3x5)7
The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.
In the equation you provided: 3x(5x7) = (3x5)7
The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.
In the seahorse tank at an aquarium, 70% of the male seahorses
have eggs in their pouches. There are 20 male seahorses in the
tank. Kennedy uses the expression 0.07 x 20 to find the number of
male seahorses with eggs. Explain why Kennedy's expression is
incorrect. How many male seahorses have eggs in their pouches?
Part A: Kennedy's expression is incorrect because 0.07 is 7 percent, not 70.
Part B: The correct expression would be 0.7 * 20, which equals 14
Lesbian Anna close cylinder have the same radius the height of the cylinder is four times the radius what is the ratio of the volume of the cylinder to the volume of the sphere
The ratio of the volume of the cylinder to the volume of the sphere = 3:1
Let take the volume of a closed cylinder as V1.
And take the volume of a closed sphere as V2.
And the radius of the cylinder = radius of the sphere = r
Height of the cylinder = h
If height of the cylinder is four times the radius of the cylinder which means h = 4r
Volume of the closed cylinder V1 = π × r^2 × h
if h = 4r
Then V1 = π × r × r × 4r
V1= 4π × r^3
Volume of the closed cylinder V1= 4π × r^3
Volume oh the sphere V2 = 4/3 × π × r^3
The ratio of the volume of the cylinder to the volume of the sphere
= V1 / V2 = V1 : V2
V1 : V2 = (4π × r^3) ÷ (4/3 × π × r^3)
V1 : V2 = 4 ÷ 4/3 = 4/1 × 3/4 = 3/1 = 3 : 1
The ratio of the volume of the cylinder to the volume of the sphere = 3:1
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what would the next step be to solve for X
Step 1: We cross-multiply;
\(\begin{gathered} 10\times x=8\times12 \\ 10x=96 \end{gathered}\)Step 2: We divide both sides by 10;
\(\begin{gathered} \frac{10x}{10}=\frac{96}{10} \\ x=9.6 \end{gathered}\)ANSWER: x=9.6
For the following hypothesis test, determine the null and alternative hypotheses. Also, classify the hypothesis test as two-tailed, left-tailed, or right-tailed. The mean length of imprisonment for motor-vehicle theft offenders in this country is 22.1 months. A hypothesis test is to be performed to determine whether the mean length of imprisonment for motor-vehicle theft offenders in this city differs from the national mean of 22.1 months.
Choose the correct null and alternative hypotheses below.
A. H0: μ = 22.1 months
Ha: μ > 22.1 months
B. H0: μ = 22.1 months
Ha: μ 22.1 months
C. H0: μ = 22.1 months
Ha: μ < 22.1 months
D. H0: μ > 22.1 months
Ha: μ = 22.1 months
E. H0: μ 22.1 months
Ha: μ = 22.1 months
F. H0: μ = 22.1 months
Ha: μ > 22.1 months
Which of the following is the correct classification of the hypothesis test?
A. Two-tailed
B. Left-tailed
C. Right-tailed
Answer:
Option B:
\(H_0: \mu = 22.1\)
\(H_a: \mu \neq 22.1\)
Classification:
The hypothesis test is Two-tailed.
Step-by-step explanation:
The mean length of imprisonment for motor-vehicle theft offenders in this country is 22.1 months.
This means that the null hypothesis is that the mean is of 22.1 months, that is:
\(H_0: \mu = 22.1\)
A hypothesis test is to be performed to determine whether the mean length of imprisonment for motor-vehicle theft offenders in this city differs from the national mean of 22.1 months.
At the alternate hypothesis, we test if this mean is different of 22.1, that is:
\(H_a: \mu \neq 22.1\)
Which means that the answer is given by option b).
Which of the following is the correct classification of the hypothesis test?
We test if the mean is different from a value, which means that the hypothesis test is Two-tailed.
A marine biologist measured one dish that was 1 1/4 of a foot and a second fish that was 3/4 of a foot long. How much longer was the first fish
Answer:
1/3 foot longer
Step-by-step explanation:
2/3-1/3=1/3
3. A life guard is sitting 8 feet on the observation chair. He notices someone struggling at 6
feet beneath the pool. He plunges to save the struggling person. What distance did he
cover to save the victim?
The lifeguard covered distance of 14 feet to save the victim. The solution has been obtained by using the arithmetic operations.
What are arithmetic operations?
The four fundamental operations, also referred to as "arithmetic operations," are said by mathematicians to be able to describe all real numbers. The four mathematical operations of division, multiplication, addition, and subtraction result in the terms quotient, product, sum, and difference, respectively.
We are given that a life guard is sitting 8 feet on the observation chair and he notices someone struggling at 6 feet beneath the pool.
So, the total distance he travelled is 8 + 6 = 14 feet
Hence, the lifeguard covered distance of 14 feet to save the victim.
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The distance between the points (3,y1) and (11,11) is 17. What is a possible value of y1?
A.
4
B.
-2
C.
-4
D.
-3