The total amount collected over the life of the bond is $7,500.
What is the total amount collected?A bond is a debt instrument that entitles its holder to regular interest payments. At the end of the life of the bond, the bondholder receives the amount invested back.
Total earnings = interest + amount invested
(20 x 0.025 x 5000) = $2500
Amount invested = $5000
= 2500 + 5000 = $7,500
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A scale drawn on the map shows that 1 inch represents 20 miles. If two cities
are 2.5 inches apart on the map, what is the distance between them in real
life?
O A. 50 miles
O B. 20 miles
O C. 40 miles
D. 30 miles
Answer:
50 miles
Step-by-step explanation:
20 multiplied by 2.5 = 50
Communicate Precisely: Suppose the numbers on the clock face are removed.
Write instructions that another person could follow to move the minute hand from 2 to 6.
In order to move the minute hand from 2 to 6 first move 60 degrees clockwise then 120 degrees clockwise.
What is a circle?It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)
We have:
On a clock, numbers 1 to 12 are printed on it.
If numbers on the clock face are removed.
As we know, the clock is a circle and has a total angle of 360 degrees.
Angle between the two numbers = 360/12 = 30 degree
Then the following instructions have to be followed in order to move the minute hand from 2 to 6:
Set the minute hand vertically up.Move 60 degrees in a clockwise direction, it will be on number 2.Now move 120 degrees in a clockwise direction, it will indicate the number 6.Thus, in order to move the minute hand from 2 to 6 first move 60 degrees clockwise then 120 degrees clockwise.
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Is 1.05 greater then 8.5?
Answer:
no
Step-by-step explanation:
Answer:
No, it is not.
Step-by-step explanation:
because 8.5 is the same as 8.50.
Hope this helps!
If triangles CBA and RQP are similar, what can you say about the ratios of their corresponding
sides? Write the proportions.?
Answer:
here you go..............
HELP! ASAP PLS! find the surface area of this solid
Answer: 855 I think :)
same here, i rlly need help
Answer:
Area = 50.125 cm^2
Perimeter = 26 + 15 = 41 cm
Step-by-step explanation:
Area Rectangle = 6 * 7 = 42 cm^2
Area Triangle = 1/2 * (9.5 - 7) * 6.5
Area Triangle = 1/2 * (2.5) * 6.5 = 8.125 cm^2
Total Area = 42 + 8.125 = 50.125 cm^2
Perimeter Rectangle = 6 + 7 + 6 + 7 = 26 cm
Perimeter or Triangle = 2.5 + 6.5 + 6 = 15 cm
Total Perimeter = 26 + 15 = 41 cm
please help me!!!
4) There are five nickels and seven dimes in
your pocket. You randomly pick a coin
out of your pocket and then return it to
your pocket. Then you randomly pick
another coin. The first coin is a nickel and
the second coin is a dime.
2
A) //1²
≈ 0.182
B) None of these
11
25
C)
≈ 0.29
D)
≈ 0.148
169
E)
49
169
1
4
= 0.25
5)
E
Answer:
B. None of these
Step-by-step explanation:
There are a total of 12 coins in your pocket.
The probability of drawing a nickel first is 5/12
Since you return the coin, the total number of coins in your pocket doesn't change.
The probability of drawing a dime second is 7/12
Since this is a compound probability problem, multiply the two probabilities together.
5/12 x 7/12 = 35/144
35/144 = 0.243
20 Points Help Please! Calculate the area of triangle ABC with CD, given A(6,0) B(1,5) C(2,0) D(4,2) with thorough explanation.
The area of the triangle ABC with the coordinates A(6,0) B(1,5) C(2,0) is 10 square units
How to determine the area of the triangle ?The coordinates are given as:
A(6,0) B(1,5) C(2,0) D(4,2)
The area of the triangle is calculated using:
Area = 0.5 * |Ax(By - Cy) + Bx(Ay - Cy) + Cx(Ay - By)|
Using the above formula, we have:
Area = 0.5 * |6 * (5 - 0) + 1 * (0 - 0) + 2 * (0 - 5)|
Evaluate the sum of products
Area = 0.5 * |20|
Remove the absolute bracket
Area = 0.5 * 20
Evaluate the product
Area = 10
Hence, the area of the triangle ABC is 10 square units
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Grace has a 1/3 cup scoop that she uses to pour sauce on pasta. She uses one full cup for each serving of pasta. Grace has 7 cups of sauce. How many servings of pasta can she make?
Answer:
7
Step-by-step explanation:
its a trick question !!
Answer:
This seems like a tricky question... i keep second guessing myself but here goes nothing....
7 servings
please read the explanation.... it always helps....
Step-by-step explanation:
Okay... so we know from the problem that each serving takes one full cup of sauce, and we also know that Grace has seven cups of sauce.... therefore we can conclude that she can make seven servings since 7/1 is 7.
Im not really sure why the question tells us that she uses a 1/3 scoop when we don't really need that when solving the question (which is why i am second guessing myself, but oh well)
i really hope this helps!!!
There are 7 red marbles and 8 blue marbles in a bag. (a) What is the ratio of blue marbles to all marbles in the bag? (b) What is the ratio of blue marbles to red marbles?
Answer: (a) 8 : 15 (b) 8 : 7
Step-by-step explanation: all marbles is 8+7 = 15
ratio of blue marbles to ALL marbles
8 : 15
ratio of blue marbles to red
8 : 7
Using complete sentences, describe how the variable h and the variable k of the general formula for a cube root function effects the graph. The general formula is;
y=a^(3)/sqrt(x-h+k)
Three possibilities
For red line
If h is negative then and k is positive then
then they will have two vertical asymptotes one on positive x and other on negative x
If h is negative and k is negative then the side part underroot with x turns negative I e x-(something) then they will form parabolas
You may look purple one
For all values of negative sum of h and k
example √x-k
The graph is parabola (Green one)
For h and k are equal the denominator yields √x and it stops at origin on downwards .(Blue one)
For all values of positive sum of h and k eg denominator as √x+k the graph will be like red one
Answer:
Standard Form of a Cube Root Function
[tex]y=a \sqrt[3]{x-h}+k[/tex]
The parent function is [tex]y=\sqrt[3]{x}[/tex]
[tex]h[/tex] indicates the horizontal shift from the parent function.
If [tex]h > 0[/tex] the shift is to the right, and if [tex]h < 0[/tex] the shift is to the left.
[tex]k[/tex] indicates the vertical shift from the parent function.
If [tex]k > 0[/tex] the shift is up, and if [tex]k < 0[/tex] the shift is down.
[tex]a[/tex] indicates a vertical stretch by scale factor [tex]a[/tex].
If [tex]a < 0[/tex] the function is reflected in the x-axis.
5. A rectangle whose length and width are 10 and 6, respectively, is shown below. The rectangle is continuously
rotated around a straight line to form an object whose volume is 150.
6
10
hich line could the rectangle be rotated around?
A. a long side
B. a short side
C. the vertical line of symmetry
D. the horizontal line of symmetry
TheThe line that the rectangle could be rotated around is: C. the vertical line of symmetry.
Vertical line of symmetryAnalysis
Volume=Base area×height
If the rectangle rotated around horizontal line of symmetry
V1=Ah=πr²h
=π×9×10
=90π
If the rectangle rotated around short line
V2=Ah=πr²h
=π×10²×6
=π×100×6
=600π
If the rectangle rotated around vertical line of symmetry
V3=Ah=πr²h
=π×5²×6
=π×25×6
=150π
Therefore the correct option is C.
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isaac gets paid $400.00 per week plus a commission of $10.00 for every item he sells. write the equation that shows the relationship between the number of items he sells and his weekly income.
Answer:
400w + 10x
I have no idea what I'm doing
The points L, M, N and O all lie on the same line segment, in that order, such that the ratio of LM : MN : NO is equal to 3 : 1 : 5. If LO=36, find NO.
NO = ( )
Answer:
NO = 20
Step-by-step explanation:
If the pieces are in the ratio of 3:1:5 and the whole thing is 36, then set up an equation:
3x + 1x + 5x = 36
and solve, see image.
Order these numbers from least to greatest, -3 1/2 , -3, -4, -3 3/4
Answer:
-4, -3,-3,1/2,3/4
Step-by-step explanation:
this should be right
Whats the volume of the solid?
A. 8
B 12
c 32
d. 64
I WONT BREATHE UNTIL U ANSWER ME
The volume of the solid will be equal to V=64 Cubic inches.
What is volume?The space occupied by any solid object in the three-dimension is called as the volume.
Here we have 8 cubes in the solid object each cube has the side equal to 2 inches.
So the volume of one cube will be:
V=a³=2³=8 cubic inches
Since total number of the cubes are 8 so total volume will be:
V=8x8=64 cubic inches
hence the total volume will be equal to 64 cubic inches`
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Math help can’t solve please
Answer:
See below
Step-by-step explanation:
a) 43.8 - 38 = 5.8 yrs
b) SD = 8.9 yrs 5.8 / 8.9 = .6517 SD below the mean
(A z score merely shows how many standard deviations a score (age) is above or below the mean in SD units)
c) Z = - .6517 Negative because it is BELOW the mean ( FYI from z-score table: this is .2578 in percentage )
d) usual ( it (-.6517) is between -2 and + 2 )
Is 8 yards equal to less than or greater than 24 feet?
Answer:
Equal
Step-by-step explanation:
3 feet is equal to 1 yard, so 8 times 3 is 24, so they are equal to.
In the figure below, QRT and SRV are complementary,
What is the value of x?
NEED HELP PLEASE!!!!!!!!!!!!
Answer: The exact answer is 3.61 weeks, so the "about" answer is 4 weeks.
Step-by-step explanation:
b = $85 + w (10+8)
b = 85 + w (18)
b = 85 + 18w
b is the total amount need in the bank account, so $150.
$150 = $85 + 18w
$150 - $85 = $85 - $85 + 18w
$65 = 18w
$65 / 18 = 18w / 18
3.611 weeks = w
So, it will take about 4 weeks to get $150 in his bank account.
Hope this helps!
Simplify the expression
b=85+w(10+8)b=85+18wPut b=150
85+18w=15018w=150-8518w=65w=65/18w=3.6w=4 weeks (approx)Consider the differential equation (x - 1)y" + y' = 0. By using power series so- lution about the ordinary point 0 we obtain: c_{k+1)=[(k+1)/(k+2)] C_(K); k=1,2,3.... c_(K+2)=[(k+1)/(k+2)] C_(K+1); k=0,1,2,3... None of them c_(k+2)=[(k+1)/(k+2)] C_(k+1); k=1,2,3....
Given the ODE
(x - 1) y'' + y' = 0
we assume a solution of the form
[tex]y(x) = \displaystyle \sum_{n=0}^\infty c_n x^n[/tex]
with derivatives
[tex]y'(x) = \displaystyle \sum_{n=0}^\infty n c_n x^{n-1} = \sum_{n=0}^\infty (n+1) c_{n+1} x^n[/tex]
[tex]y''(x) = \displaystyle \sum_{n=0}^\infty (n+1) n c_{n+1} x^{n-1} = \sum_{n=0}^\infty (n+2)(n+1) c_{n+2} x^n[/tex]
Substituting these series into ODE gives
[tex]\displaystyle (x - 1) \sum_{n=0}^\infty (n+2)(n+1) c_{n+2} x^n + \sum_{n=0}^\infty (n+1) c_{n+1} x^n = 0[/tex]
[tex]\displaystyle \sum_{n=0}^\infty (n+2)(n+1) c_{n+2} x^{n+1} - \sum_{n=0}^\infty (n+2)(n+1) c_{n+2} x^n + \sum_{n=0}^\infty (n+1) c_{n+1} x^n = 0[/tex]
[tex]\displaystyle \sum_{n=1}^\infty (n+1)n c_{n+1} x^n - \sum_{n=0}^\infty (n+2)(n+1) c_{n+2} x^n + \sum_{n=0}^\infty (n+1) c_{n+1} x^n = 0[/tex]
[tex]\displaystyle \sum_{n=1}^\infty \bigg((n+1)n c_{n+1} - (n+2)(n+1) c_{n+2} + (n+1) c_{n+1}\bigg) x^n - 2c_2 + c_1 = 0[/tex]
[tex]\displaystyle \sum_{n=1}^\infty \bigg((n+1)^2 c_{n+1} - (n+2)(n+1) c_{n+2}\bigg) x^n - 2c_2 + c_1 = 0[/tex]
[tex]\displaystyle \sum_{n=0}^\infty \bigg((n+1)^2 c_{n+1} - (n+2)(n+1) c_{n+2}\bigg) x^n = 0[/tex]
Then the coefficients [tex]c_n[/tex] are given recursively by
[tex](n+1)^2 c_{n+1} - (n+2)(n+1) c_{n+2} = 0[/tex]
for all n ≥ 0, or equivalently,
[tex]c_{n+2} = \dfrac{n+1}{n+2} c_{n+1}[/tex]
which most closely resembles the second choice.
Find the area of the figure. Round to the nearest hundredth where necessary.
35 in
37 in
Answer:
Area = 996 in^2
Step-by-step explanation:
First, look at the triangle on top, well, like half of it. You can use Pythagorean theorem to find the missing side. See image. Double it to find the base of the whole triangle. Use Area of a triangle:
= 1/2 b•h
to find the area of the top (the triangle).
The 24, used for the triangle base is also the side length of the square below. See image.
Area of a square is:
Area = s^2
OR, just l×w or b×h,
all the same.
Add together the triangle area and the square's area for the final answer. See image.
Each horse ride lasts 5 minutes with one minute pause in between for the next rider to get in the saddle . After every hour and a half the horses are given a rest . How many children can get an opportunity to ride a horse before they rest
Answer:
15 rides for each horse
Step-by-step explanation:
60 minutes in an hour
90 minutes in an hour and a half
6 minutes per ride (counting the re-saddle time )
90 min / 6 min/ride = 15 rides for each horse
Select the correct answer. What is the solution to |x − 4| ≥ 7? A. -3 ≤ x ≤ 11 B. -11 ≤ x ≤ 3 C. x ≥ 11 or x ≤ -3 D. x ≥ 3 or x ≤ -11
Answer:
C) x ≥ 11 or x ≤ -3
Explanation:
Given following: |x − 4| ≥ 7
Apply absolute rule: If |u| ≥ 0 then u ≤ -a, u ≥ a
Solving stepwise:
⇒ x - 4 ≤ -7, x - 4 ≥ 7
change sides
⇒ x ≤ -7 + 4, x ≥ 7 + 4
add/subtract integers
⇒ x ≤ -3, x ≥ 11
Answer:
x ≥ 11 or x ≤ -3
Step-by-step explanation:
Hi there! Please take a look at the following explanation and let me know in comment if you have any questions!
Given:[tex]\displaystyle \large{|x-4|\geq 7}[/tex]
To solve an absolute inequality, consider the following theorems.
Theorems:For b ≥ 0:
(1) If |x-a| ≥ b then we have x-a ≥ b or x-a ≤ -b so that we end up with x ≥ b+a, x ≤ -b+a
(2) If |x-a| ≤ b then we have -b ≤ x-a ≤ b which can be simplified to -b+a ≤ x ≤ b+a
Step:From the inequality, we use the (1) theorem.
[tex]\displaystyle \large{x-4\geq 7, x-4\leq -7}\\\\\displaystyle \large{x\geq 7+4, x\leq -7+4}\\\\\displaystyle \large{x\geq 11, x \leq -3}[/tex]
Therefore, the answer is x ≥ 11 or x ≤ -3
For the graph, what is a reasonable constraint so that the function is at least 600?
I took the test and got this question wrong, as you can see from the image below. Anyone else want to try?
Answer:
[tex]0 \leqslant x \leqslant 20[/tex]
Help me again please!
A. The word mean is the same as saying average. To find the average/mean add all the numbers together and then divide by the amount of numbers. For example, if your numbers were 2, 6, and 7. You would do 2+6+7=15. Then 15 divided by 3 is 5. The mean of those numbers is 5.
B. The median is the middle number. Put the numbers in a list from least to greatest and then find the one in the middle. For example, if your numbers were 1, 2, 3, 4, 5, 6, the median would be 3.
C. The mode is the most frequent number. Count how many of each number appears in the list, the one with the most is the mode. For example, if your numbers were 1, 1, 3, 8, 2, 1, the number 1 would be the mode because it appears the most frequently.
D. The range is the smallest number and the largest number. If your numbers were 2, 12, 46, and 9, the range would be 2-46 or 2 to 46.
I hope this helps you, let me know if you have any questions or would like another example! :)
Please help me on this
Answer: Not gonna spoon feed but the ratio is -3
6 * -3 = -18
-18 * -3 = 54
u should be able to get t4, t5 and t6 now by urself
What is the median of 0.8, 1.0, 2.7, 2.8, 3.1, 13.3
Answer:
[tex]2.75[/tex]
Step-by-step explanation:
Step 1: Determine the median
[tex]0.8, 1.0, 2.7, 2.8, 3.1, 13.3[/tex]
The median of a set is the middle of the set. In this instance, we have 6 numbers so we don't have a number directly in the set representing the median. Instead, we need to find the average or middle between the 3rd and 4th number. So we take 2.7 and 2.8, add them together to get 5.5 and then we divide by 2 to get 2.75 which is our median.
Answer: [tex]2.75[/tex]
T
yler wants to determine if an individual's age affects whether or not they like jazz, rock, or country music. Which type of inference test should Tyler use?
The appropriate test is the chi-squared test for association/independence.
What is an inference test?A statistical inference involves hypothesis testing about a population using a sample.
In this case, Tyler wants to determine if an individual's age affects whether or not they like jazz, rock, or country music. The appropriate test is the chi-squared test for association/independence.
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Answer:
chi-squared test
Step-by-step explanation:
Got it right on the test.
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Answer:
x = 42°
Step-by-step explanation:
We have from figure
x + 48° = 90°
x = 90° - 48°
= 42°
HOPE THIS HELPS AND HAVE A NICE DAY <3
