Simple interest is the type of interest that is earned on the principal amount only.
What is Interest?Interest in simple terms is the extra amount that you have to pay if you borrow money or the extra money you get if you lend the money.
Simple interest is one of the type of interest.
Simple interest is defined as the interest obtained over the principal amount on a certain rate.
Suppose that, a certain transaction has an annual interest rate of 2% for a period of 10 years.
If the principal amount is P, then in simple interest, interest will be a fixed amount, that is, 2% of P, in the whole period.
In compound interest, the interest will be compounded each of the year or month or quarterly depending on the criterion.
Hence the type of interest described here is simple interest.
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All the answers to the SLO spring test 6th grade
Answer:
Don't have them
lol
7) The base of a prism is a right triangle with legs measuring 16 feet and 4 feet. If the height of the prism is
14 feet, find its volume.
mine the volume if its length is 18 inches
Given:
The base of a prism is a right triangle with legs measuring 16 feet and 4 feet.
Height of the prism is 14 feet.
To find:
The volume of the triangular prism.
Solution:
The area of a triangle is:
[tex]Area=\dfrac{1}{2}\times b\times h[/tex]
Where, b is base and h is height of the triangle.
The base of a prism is a right triangle with legs measuring 16 feet and 4 feet. It means the base of the triangle is 16 feet and height is 4 feet. So, the area of the base of the prism is:
[tex]B=\dfrac{1}{2}\times 16\times 4[/tex]
[tex]B=32[/tex]
Now, the volume of a triangular prism is:
[tex]V=Bh[/tex]
Where, B is base area and h is the height.
Putting [tex]B=32,h=14[/tex] in the above formula, we get
[tex]V=32\times 14[/tex]
[tex]V=448[/tex]
Therefore, the volume of the triangular prism is 448 cubic feet.
Determine the period of the following graph.
Answer:
3π
Step-by-step explanation:
period = 3π
If yah want free brisnliest please helppp and no links
Answer:
d
Step-by-step explanation:
3/3
Help ASAP! Find the measure of Arc AP.
Answer:
57
Step-by-step explanation:
<=1/2(AP-BN)
12=1/2(x-33)
(2) 12=1/2(x-33) (2)
24=x-33 24+33
57=x
57=AP
Please help i dont understand
Answer:
672
Step-by-step explanation:
• There are 20 pounds of the mixture.
• Peanuts cost $2.95 per pound.
• Almonds cost $5.95 per pound.
• The mixture costs $4.00 per pound.
How many pounds of peanuts will there be?
Answer:
6.63 pounds
Step-by-step explanation:
Total pounds of mixture = 20
The contents of the mixture are; peanuts and almonds. Of which;
Peanuts cost = $2.95 per pound
Almonds cost = $5.95 per pound
The mixture cost = $4.00 per pound
Total cost of contents of the mixture = $8.90
The pounds of peanuts = [tex]\frac{2.95}{8.90}[/tex] x 20
= 6.63
Therefore, 6.63 pounds of peanuts was used in producing 20 pounds of the mixture.
Triangle ABC pictured above has a right angle at C. If a=4.3 and c=9, find the measure of angle B. Round to the nearest tenth of a degree.
I ONLY NEED THE ANSWER HELP MEEEEEE
if you answer this question i will give brainliest
Answer:
the line plot in the bottom right corner
Step-by-step explanation:
Answer:
D is the correct graph.
Step-by-step explanation:
First you put the entries in ascending order, because that's how the line plot needs to be ordered.
1/4, 3/8, 1/2, 3/4, 7/8, 1, 1 1/4
So right there, you can rule out A.
You can rule out C because 1/4 does not occur 5 times in the data set.
B is incorrect because 3/8 isn't on the line plot at all.
Please let me know if you have questions.
3. What is the volume of the triangular prism in the diagram below.
Answer in cubic feet *
The population P, of Caribou in the Yukon is modeled by P=6x^2-120x+1250 where X is the number of years from today. After how many years with the Caribou population route 21,000 round to one decimal place
Answer:
It will take approximately 68.2 years for the Caribou population to reach 21,000.
Step-by-step explanation:
The population P of Caribou in the Yukon is modeled by P=6x²-120x+1250 where x is the number of years from today.
If the population P of Caribou in the Yukon is 21000, then, replacing you get:
21000= 6x²-120x+1250
So:
0= 6x²-120x+1250 -21000
0= 6x²-120x - 19750
This is a quadratic function of the form: 0= ax²+ bx +c, where: a=6, b= -120 and c=-19750
To solve a quadratic function and determine the value of x you can use the expression:
[tex]x1,x2=\frac{-b+-\sqrt{b^{2}-4*a*c } }{2*a}[/tex]
Replacing the values of a, b and c and solving you get:
[tex]x1,x2=\frac{-(-120)+-\sqrt{(-120)^{2}-4*6*(-19750) } }{2*6}[/tex]
[tex]x1,x2=\frac{120+-\sqrt{14400+474000 } }{12}[/tex]
[tex]x1,x2=\frac{120+-\sqrt{488400 } }{12}[/tex]
[tex]x1,x2=\frac{120+-698.86 }{12}[/tex]
So:
[tex]x1=\frac{120+698.86 }{12}[/tex]
x1= 68.24 ≅ 68.2
and
[tex]x2=\frac{120-698.86 }{12}[/tex]
x2= -48. 24 ≅ -48.2
As time cannot be negative, it will take approximately 68.2 years for the Caribou population to reach 21,000.
Two rectangular prisms are shown. The prisms have the same dimensions. What is the total volume of both prisms?
Answer:
V= 2* L*B*H
Step-by-step explanation:
Although we are not given the dimension of the rectangular prisms in this question
The volume of a rectangular prism is
V= L*B*H
Since the number of the prism is two
Hence the volume of the two prisms
V= 2* L*B*H
Therefore, when the plugin the dimensions of the prism into the expression above, you will get the volume of the two prisms combined
5(2 + 3) = ? for easy points
Answer:25
Step-by-step explanation:
Answer:
25
Step-by-step explanation:
because you have to multiply to get the parentheses off.
PLS ANSWER!!! I REALLY NEED AN ANSWER TO THIS ASAP!!!
Examine the two-step equation.
− 7/4 + x/4 = 2
Which property of operations allows you to add the same constant term to both sides?
-multiplication property of equality
-division property of equality
-addition property of equality
-subtraction property of equality
Answer:
addition property of equality
Step-by-step explanation:
In the diagram, m ABC = 90° and the ratio x: y = 2 : 3 . Find the value of the larger angle.
Answer: 54
Total = 90
x : y = 2: 3
5p = 90
1p= 90/5= 18
Larger Angle= =18*3= 54
Write a system of linear inequalities represented by the graph. 20 pts!
Given:
The graph of the system of inequalities.
To find:
The system of inequalities.
Solution:
From the given graph it is clear that the first line passes through the points (0,2) and (1,-1). So, the equation of the boundary line is:
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
[tex]y-2=\dfrac{-1-2}{1-0}(x-0)[/tex]
[tex]y-2=-3x[/tex]
[tex]y=-3x+2[/tex]
The shaded region lies above the line and the boundary line is a solid line. So, the sign of inequality must by ≥.
[tex]y\geq -3x+2[/tex]
The second line passes through the points (0,-2) and (3,0). So, the equation of the boundary line is:
[tex]y-(-2)=\dfrac{0-(-2)}{3-0}(x-0)[/tex]
[tex]y+2=\dfrac{2}{3}x[/tex]
[tex]y=\dfrac{2}{3}x-2[/tex]
The shaded region lies above the line and the boundary line is a solid line. So, the sign of inequality must by ≥.
[tex]y\geq \dfrac{2}{3}x-2[/tex]
Therefore, the system of inequalities contains two linear inequalities [tex]y\geq -3x+2[/tex] and [tex]y\geq \dfrac{2}{3}x-2[/tex].
Write the equation for each line in slope-intercept form. Then identify the slope and the y-intercept.
Please help if you can and please don't put any links as an "answer", it's already happened to me 3 times already.
Answer:
1.
Equation: y = -4x + 7
Slope: -4
y-intercept = 7
2.
Equation: y = 2/3x - 3
Slope: 2/3
y - intercept: -3
3.
Equation: y = 5/4x - 3/2
Slope: 5/4
y - intercept: -3/2
4.
Equation: y = -1/2x + 4
Slope: -1/2x
y - intercept: 4
Raymond used 36 cubes to build the first layer of a rectangular prism. The edge length of each cube was 1 inch. The finished prism had a total of 8 layers. What is the volume of Raymond’s prism in cubic inches?
Answer:
[tex]Volume=288in^{3}[/tex]
Step-by-step explanation:
Given
Base Cubes =36
Layers = 8
The number of base cubes represents the base area and the number of layers represents the height of the prism.
So, the volume is calculated as:
Volume = Base Cubes * Layers, i.e Base Area * Heights
Volume = [tex]36*8[/tex]
Volume = [tex]36in^{2} * 8 in[/tex]
Volume = [tex]288in^{2}[/tex]
The weight of oranges growing in an orchard is normally distributed with a mean
weight of 7 oz. and a standard deviation of 0.5 oz. Using the empirical rule, what
percentage of the oranges from the orchard weigh between 6.5 oz. and 7.5 oz.?
Answer:
The correct anser for delta math is 68%
Step-by-step explanation:
I gave up on delta math
Perform the operation (5x^2 – 9) + (-10x + 7)
Answer:
5x^2−10x−2
Step-by-step explanation:
I hope this is what you are looking for I just added (5x^2 – 9) + (-10x + 7)
Plsss i need help!! I’LL MARK BRAINLIEST!!! Ms. Jamieson compared the math test scores of her streak her morning and afternoon classes. Which statement is true?
Answer:
A i did this one already
Step-by-step explanation:
Simplify the ratio 300m:2km
Answer:
3m:20m
Step-by-step explanation:
2km to m = 2000
300:2000
(divide both sides by 100)
300/100=3
2000/100=20
3:20
Answer:
3 : 20
Step-by-step explanation:
2km = 2000
Ratio:
300 : 2000 =
150 : 1000 =
75 : 500 =
15 : 100 =
3 : 20
The function of fx and gx are shown on the graph Fx=x2
What is gx
Answer:
Step-by-step explanation:
g(x) =(1/4 x)²
g(x) = 4x² will be the equation of the parabola.
What is the function?A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.
Given, two parabolas f(x) and g(x),
From the general equation of the parabola,
y = a(x – h)² + k or x = a(y – k)² +h.
Here (h, k) denotes the vertex.
As we can see in our case, the vertex is (0, 0)
Thus, the equation of the parabola will be
y = ax²
Since the given parabola passes through the point (1, 4)
Substitute the values,
4 = a(1)²
a = 4
therefore, the equation of the parabola g(x) will be,
g(x) = 4x²
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Which statement is true???
9514 1404 393
Answer:
B, C, E
Step-by-step explanation:
When the central angles are congruent, the corresponding triangles are congruent:
ΔJHK ≅ ΔLHM . . . . selection E
and the base chords are congruent:
ML ≅ JK . . . . selection B
The subtended arcs are also congruent, so adding arc LK to each will result in congruent arc measures:
arc MLK ≅ arc LKJ . . . . selection C
What is the area of the trapezoid ?
PLEASE HELPPPP
Find the area of the shaded region of the square, with side length 2x - 3, if each of
the ovals has an area of x – 5 square inches.
Answer:
4x^2 - 14x + 19
Step-by-step explanation:
A = LW
A = (2x-3) (2x-3)
4x^2 - 6x - 6x + 9
Combine like terms:
4x^2 - 12x + 9
-2(x - 5) (for both ovals)
(4x^2 - 12x + 9) -2(x - 5)
4x^2 - 12x + 9 - 2x + 10
Group then combine like terms:
4x^2 - 12x - 2x + 10 + 9
4x^2 - 14x + 19
Sorry for being 10 days late but here is the answer for anybody that needs this! :D
As part of statistics project, math class weighed all the children who were willing to participate as shown below.
How many children weighed less than 50 pounds?
Answer:
18
Step-by-step explanation:
The key of this leaf stem-leaf plot is:
4 | 5 = 45
Therefore, the data points that represents children with weight that is less than 50 pounds would be as follows:
First row => 12, 13, 15, 15 15, 16, 16, 19
Second row => 23, 25
Third row => 33, 35, 37, 38, 39
Fourth row => 44, 45, 45
Therefore, the number of children that weigh less than 50 pounds = 18
The measure of an arc intercepted by an inscribed angle is 130 degree. What is the measure of the inscribed angle?
Answer:
Step-by-step explanation:
Inscribed angle = 130°/2 = 65°
Create an equation that models the total number of calories Jonathan consumes,y,based on number of biscuits he eats,x,and the 6 packages of pemmican
An equation that models the considered calorie consumption by Jonathan is y = mx + 6k, where m is the number of calorie per buiscuit, and k is the number of calorie per package of pemmican.
How to form mathematical expression from the given description?You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.
We're specified that:
x = number of buiscuits Jonathan eastsy = number of calories Jonathan consumes6 = number of packages of pemmican that jonathan consumes.Let we take:
m = number of calories per buiscuit that Jonathan eats.
Then, for x buiscuits, it would be [tex]m \times x[/tex] calories, or in short [tex]mx[/tex] calories.
Let k = number of calories per package of pemmican, then:
for 6 packages of pemmican, it would be [tex]6 \times k[/tex] calories, or in short [tex]6k[/tex] calories.
Thus, total calories Jonathan consumes = y = calories from x buiscuits + calories from 6 packages of pemmican.
or, we get:
[tex]y = mx + 6k[/tex]
Thus, an equation that models the considered calorie consumption by Jonathan is y = mx + 6k, where m is the number of calorie per buiscuit, and k is the number of calorie per package of pemmican.
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Barry the Beaver gnaws his way through a circular section of wood. The sector has a radius of 5.90 m and central angle 85.3°. What is the area of this section of wood?
Answer:
25.899sq.metres
Step-by-step explanation:
Area of this section of wood = Area of the sector
Area of the sector = theta/360 * πr²
r is the radius
theta is the central angle
Substitute
Area of the sector = 85.3/360 * πr²
Area of the sector = 85.3/360 * 3.14(5.90)²
Area of the sector = 85.3/360 * 109.3034
Area of the sector = 9,323.58002/360
Area of the sector = 25.899
Hence the area of the section of wood is 25.899sq.metres