Answer:
$5487.38
Step-by-step explanation:
Given that:
Interest currently made = $2112.64
Time = 7 years
Rate of interest = 5.5% annual
To find:
The price for which the bond was originally bought ?
Solution:
We need to find nothing but the principal amount.
First of all, let us have a look at the formula for Simple Interest.
[tex]Simple\ Interest = \dfrac{PRT}{100}[/tex]
Where [tex]P[/tex] is the principal amount
[tex]R[/tex] is the Rate of Interest
[tex]T[/tex] is the time for which the investment is made
Let us put the given values in the formula:
[tex]2112.64 = \dfrac{P\times 5.5\times 7}{100}\\\Rightarrow P =\dfrac{2112.64\times 100}{5.5\times 7}\\\Rightarrow P =\dfrac{211264}{38.5} \\\Rightarrow \bold{P =\$5487.38}[/tex]
¿Que es una diagonal?
Answer:
A diagnol line, is a line that intesects with another line in the middle at a 90 degree angle.
Step-by-step explanation:
Hope this helps.
n × $3.05 = $305.00=
Answer:
n = 100
Step-by-step explanation:
Step 1:
n × $3.05 = $305 Equation
Step 2:
n = $305 ÷ $3.05 Divide
Answer:
n = 100
Hope This Helps :)
What is the area of the trapezoid shown? trapezoid A = ______ units²?
Answer:
74.1 units²
Step-by-step explanation:
Area of the trapezoid shown = ½×(AD + BC)×BE
Use distance formula, [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex] to find AD, BC, and BE.
✍️Distance between A(-9, 4) and D(9, 1):
[tex] AD = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} = \sqrt{(9 -(-9))^2 + (1 - 4)^2} [/tex]
[tex] = \sqrt{(18)^2 + (-3)^2} [/tex]
[tex] = \sqrt{(324 + 9} = \sqrt{333} [/tex]
[tex] AD = 18.2 units [/tex] (nearest tenth)
✍️Distance between B(-4, -3) and C(2, -4):
[tex] BC = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} = \sqrt{(2 -(-4))^2 + (-4 -(-3))^2} [/tex]
[tex] = \sqrt{(6)^2 + (-1)^2} [/tex]
[tex] = \sqrt{(36 + 1} = \sqrt{37} [/tex]
[tex] BC = 6.1 units [/tex] (nearest tenth)
✍️Distance between B(-4, -3) and E(-3, 3):
[tex] BE = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} = \sqrt{(-3 -(-4))^2 + (3 -(-3))^2} [/tex]
[tex] = \sqrt{(1)^2 + (6)^2} [/tex]
[tex] = \sqrt{(1 + 36} = \sqrt{37} [/tex]
[tex] BE = 6.1 units [/tex] (nearest tenth)
✔️Area of the trapezoid:
Area = ½×(AD + BC)×BE
Plug in the values into the formula
Area = ½×(18.2 + 6.1)×6.1
Area = ½×(24.3)×6.1
Area = 74.115 ≈ 74.1 units² (nearest tenth)
Maria is framing an 8 inch by 10 inch photograph with matting as shown. Which is an expression for the area of the photograph with the mat?
Answer:
[tex] 4x^2 + 36x + 80 [/tex]
Step-by-step explanation:
Area of the photograph with the mat = area of the photograph + area of the mat
Area of the photograph = length * width = 10*8 = 80 in²
Area of the mat:
Decompose the mat frame into 4 rectangles and 4 squares (these are the corners of x*x dimensions)
The 4 rectangles = 2(8*x) + 2(10*x) = 16x + 20x = 36x
The 4 squares (the corners) = 4(x*x) = 4x²
The area of the photograph with the mat = 80 + 36x + 4x²
Rearrange in standard form:
The expression for the area would be:
✅[tex] 4x^2 + 36x + 80 [/tex]
Help. Pls............... :/
Il give brainliest
Answer: Im horrible at geo sorry >_<
Step-by-step explanation:
Answer:
I already answer your old one :/
Step-by-step explanation:
A recipe uses 3 eggs for every 8 cups of flour. What is the ratio of eggs to flour in the recipe?
8 to 3
StartFraction 3 over 8 EndFraction
3 to 11
8:3
Answer:3:8 or 3/8
Step-by-step explanation:
HELP! WILL GIVE BRANLIEST! Please use the answers provided!
Answer:
□.25
Step-by-step explanation:
Since math has 4 letters the probability of getting A would be .25
Answer:
0.25
Step-by-step explanation:
There is a 25% chance of getting that letter since there are four letter so you have a one out of four chances.
Combine like terms to create an equivalent expression. 2/5k - 3/5 + 1/10k
Answer:
[tex]\frac{1}{2}[/tex]k-[tex]\frac{3}{5}[/tex]
Step-by-step explanation:
Help me
A room is 12 feet long and 10.5 feet wide. A scale model of the room is 3.5 feet wide. What is the area of the scale model?
a: 10.3 square feet
b:14 square feet
C; 36 square feet
d: 122.5 square feet
Plzz help will give 15 pts and brainliest!!!!!!!!
Answer:
ummmmmmmm what ur question??
Step-by-step explanation:
Answer:
wheres the question at?
Which of the following statements regarding Pascal's triangle are correct?
A. The coefficients of (x + y)" are given by the nth row of Pascal's
triangle.
B. Each row is a "palindrome" – that is, it is the same if read from
left to right or from right to left.
C. The nth row gives the coefficients in the expansion of (x + y)21.
D. To generate Pascal's triangle, add adjacent terms on a row to
determine the term directly below them.
Answer: PLEASE READ: The coefficients of (x + y)n are given by the nth row of Pascal's triangle. To generate Pascal's triangle, add adjacent terms on a row to determine the term directly below them. Each row is a "palindrome"- that is, it is the same if read from left to right or from right to left.
Step-by-step explanation: A P E X
please help me thx
Answer:
y=x/26-2
Step-by-step explanation:
the slope is 1/26 and y intercept is (0,2) or two so you add it into the form.
If u know the answer PLZZhelp me I’m struggling
Answer:
What’s the question
Step-by-step explanation:
I’ll still answer if I can but I need to see the question first
9.173 what is the value of 9?
Answer:
the value of 9 is ones
Answer:
9
Step-by-step explanation:
Band students at Centerville High School sell candy every year as a fundraiser. Last year,
they sold 54 boxes of truffles and 92 boxes of peanut brittle, raising a total of $492. This
year, they sold 70 boxes of truffles and 92 boxes of peanut brittle, from which they raised
$556. How much does the band earn from each item?
The band earns $___ from each box of truffles and $____
from each box of peanut
brittle.
Answer:
Is there any answer options.?
Step-by-step explanation:
Which sample fairly represents the population? Select two options.
measuring the height of every fiftieth person on the school roster to determine the average height of the boys in the school
calling every third person on the soccer team’s roster to determine how many of the team members have completed their fundraising assignment
observing every person walking down Main Street at 5 p.m. one evening to determine the percentage of people who wear glasses
sending a confidential e-mail survey to every one-hundredth parent in the school district to determine the overall satisfaction of the residents of the town
taking a poll in the lunch room (where all students currently have to eat lunch) to determine the number of students who want to be able to leave campus during lunch
Answer:
...
Step-by-step explanation:
where is the question
Answer:
a and d
Step-by-step explanation:
solve the differential equation. dy/dx - (2/x)y =x^2 cosx
Answer:
[tex]y=\sin \left(x\right)x^2+c_1x^2[/tex]
Step-by-step explanation:
Substitute dy/dx with y
[tex]y'\:-\left(\frac{2}{x}\right)y=x^2\cos \left(x\right)[/tex]
Please help. I can not figure it out. I will mark brainliest.
Soryyyyyyyyyyyyyy this one to
If the simple interest on $4,000 for 9 years is $3,240 , then what is the interest rate?
Answer:
1440000
Step-by-step explanation:
Please help as fast as you can please!
Answer:
B
Step-by-step explanation:
Make 4 [tex]\frac{2}{5}[/tex] an improper fraction. To do that multiply the denominator, 5 by 4, which gets you 20. Then add the numerator, 2, to get 22. put the original denominator back into the fraction, and you get [tex]\frac{22}{5}[/tex] . If you divide that by [tex]\frac{2}{5}[/tex] , you would get 11 because you divide the numerator and the denominators cancel each other out since they are both the same number, and 22 ÷ 2 = 11.
Hope researches the impact of one variable on another. She graphs the data from her research and sees that the data forms a shape that is similar to an arch. What conclusion can Hope draw from her graph?
Answer:
She can determine that while there is an association between the variables, there is no correlation, and she cannot determine causation.
Step-by-step explanation:
Since there is an arch shape to her graph, we know that as one variable changes, the other changes in the same manner. This means there is an association between the variables.
However, since the graph is not linear, there is no correlation between the variables. Since there is no correlation, we cannot determine causation.
Mark me as brainiest
Answer:
Sample response
Step-by-step explanation:
Because the graph shows a pattern that is an arch shape, Hope can conclude that there is an association between the variables. However, because the relationship is not linear, there is no correlation. The pattern shows that as one variable changes, the other variable changes in the same way. This does not imply that a change in one variable causes the change in the other variable to happen. Hope cannot conclude that there is a causal relationship.
ЗХ - 2y = 7
6x - 4y = 14
Answer:
They are the same line.
(8 - i) - (-82 + 2i)
How do you Solve t/−5=−7.
Step-by-step explanation: 35/-5 = -7
T= 35 hope this helps
If 37.5% of the 600 shoppers stated they would buy the new flavor, how many of the 600 would buy it?
Answer:
225 lo comprarían
Step-by-step explanation:
Para sacar el porcentaje se multiplica el numero por el porcentaje y dividir entre 100
37.5x600/100
37.5x 600= 22, 500
22,500/100= 225
225 lo comprarían
Each line represents a proportional relationship. Write an equation for each line. Show your work.
Answer:
The equation of line a is y = x
The equation of line b is y = [tex]\frac{2}{3}[/tex] x
Step-by-step explanation:
The equation of the proportional is y = m x, where
m is the slope of the line (constant of proportionality)The rule of the slope of a line is m = [tex]\frac{y2-y1}{x2-x1}[/tex] , where
(x1, y1) and (x2, y2) are two points on the line∵ Line a passes through points (0, 0) and (3, 3)
∴ x1 = 0 and y1 = 0
∴ x2 = 3 and y2 = 3
→ Substitute them in the rule of the slope above
∵ m = [tex]\frac{3-0}{3-0}=\frac{3}{3}[/tex]
∴ m = 1
→ Substitute in the form of the equation above
∴ y = (1)x
∴ y = x
∴ The equation of line a is y = x
∵ Line b passes through points (0, 0) and (3, 2)
∴ x1 = 0 and y1 = 0
∴ x2 = 3 and y2 = 2
→ Substitute them in the rule of the slope above
∵ m = [tex]\frac{2-0}{3-0}=\frac{2}{3}[/tex]
∴ m = [tex]\frac{2}{3}[/tex]
→ Substitute in the form of the equation above
∴ y = ([tex]\frac{2}{3}[/tex]) x
∴ y = [tex]\frac{2}{3}[/tex] x
∴ The equation of line b is y = [tex]\frac{2}{3}[/tex] x
Which of the following could be parallel to y=4?
Answer:
y=0
Step-by-step explanation:
5. The table shows the weights of bananas at a grocery store. number of bananas weight in pounds
Answer:
i like bananas
Step-by-step explanation:
Answer:
3=0.96 12= 3.84
Step-by-step explanation: 5/1.6= 0.32
0.32 times 3 =0.6 and 0.32 times 12= 3.84
A circles circumference is approximately 76cm. Estimate the radius, diameter and area of the circle.
Answer:
The circumference of a circle is C = 2πr^2 (2nd power) Radius (r) is the distance from the center of the circle to the outside of it. To find radius divide the diameter (d) by 2. The diameter (d) of a circle is the radius (r) multiplied by 2. To find the diameter (d) you need to do C ÷ π.
For example):
Finding diameter - 76/3.14 = 24.19 (d)
Finding radius - 24.19/2 = 12.095 (r)
EDIT: (C) Means Circumference