Given that,
The interest of sum of money is 6 yrs in 3/8 of the principal.
To find,
The rate of interest.
Solution,
Let P is the principal. It means interest will be :
I=3/8 P
The formula for the interest is given by :
[tex]I=\dfrac{PRT}{100}\\\\\dfrac{3}{8}P=\dfrac{PR\times 6}{100}\\\\\dfrac{3}{8}=\dfrac{6R}{100}\\\\R=\dfrac{300}{8\times 6}\\\\=6.25\%[/tex]
Hence, the rate of interest is 6.25%.
Please help I will mark brainliest
Answer:
a)(2x+1)² - 3
4x² + 4x + 1 - 3
4x² + 4x - 2
4(-2)² + 4(-2) - 2
16 - 8 - 2
6 (final answer)
b) 4(3)² + 4(3) - 2
36 + 12 - 2
46 ( final answer)
c) 2(x²-3) + 1
2x² - 6 + 1
2(3)² - 5
18 - 5
13(final answer)
A local insurance agent visits the high school and tells the students that his insurance company will give students a 7% discount on liability insurance, PIP. comprehensive insurance, and collision insurance for three years if they take a defensive driving course. Maria spends $1,437.00 on her auto insurance annually.
The question is vague, but I'll try and help.
Answer:
She saves $100.59 a year.
Step-by-step explanation:
Saving 7% of $1,437.00 each year.
7% of $1,437.00 (0.07 x $1,437.00) = $100.59
If it asks how much she saves over a certain number of years, just multiply 100.59 times how many years it asks for. Hope this helps.
The required, if Maria takes the defensive driving course and receives the 7% discount on her auto insurance, she will save a total of $301.77 over three years.
What is the investment?Investment is defined as when an individual spends money on something that returns him or her higher money than the money they invested.
Here,
If Maria spends $1,437.00 on her auto insurance annually and she takes the defensive driving course, she will get a 7% discount on her liability insurance, PIP, comprehensive insurance, and collision insurance for three years.
To calculate the amount of the discount, we first need to find 7% of $1,437.00:
Discount = 0.07 × $1,437.00 = $100.59
So, the amount of the discount that Maria will receive annually is $100.59.
To find the total savings over three years, we multiply the annual discount by three:
Total savings = $100.59 × 3 = $301.77
Therefore, if Maria takes the defensive driving course and receives the 7% discount on her auto insurance, she will save a total of $301.77 over three years.
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Item 12
The graph represents the height y, in feet, above the ground of a water balloon x seconds after it is dropped from a window.
Which statement is true?
Select each correct answer.
The maximum height of the water balloon occurs at x = 0.
The water balloon is in the air for 2 s.
The water balloon hits the ground in 64 s.
The water balloon rises above 64 ft before falling toward the ground.
The maximum height of the water balloon is 64 ft.
Answer:
O The maximum height of the water balloon occurs at x = 0.
O The water balloon is in the air for 2 s.
O The maximum height of the water balloon is 64 ft.
Step-by-step explanation:
Firstly, by simply looking at the x axis on the graph (time), you will see that it starts at 0 and the 64 ft maximum height is aligned with the starting point of 0 seconds.
The graph also shows (x axis) the 'time' represented, and as the height rapidly decreases the graph eventually reaches the 2 second mark, going no further and no lower.
Finally, the graph shows (y axis) the peak of the water balloon's height is 64 ft, as it is the highest number reached while the water balloon was airborne.
The following statement is True.
The maximum height of the water balloon occurs at x = 0.The water balloon is in the air for 2 s.The maximum height of the water balloon is 64 ft.A true statement to be chosen from the following.
What is a graph?The graph is a demonstration of curves that gives the relationship between the x and y-axis.
From the graph, the following points are to be noted.
The water balloon is at 64 ft at x = 0.
The water balloon takes 2 sec to reach y = 0.
The water balloon has a maximum height of x = 0.
Thus, points 1,2, and 5 are true.
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259 students enrolled in a freshman level chemistry class by the end of semester 6 times the number of students passed as failed find the number of students who passed and the number of students who failed
Answer:picture?
Step-by-step explanation:
Find the value of x.
Group of answer choices
77
34
69
146
Answer:
69
Step-by-step explanation:
Use the 3x-2 and take it out
1/13 times 1/2.54 show your work
Answer:
0.03028467595
Step-by-step explanation:
calculator?
What is the present value of ₱30,000 due in 27 months at 3% compounded annually?
Answer:
32,063.06
Step-by-step explanation:
the formula for compound interest: [tex]A = P(1+\frac{r}{n})^{nt\\}[/tex]
so to use this you are essentially solving for a.
p is the principle (or initial) amount deposited.
r is the rate (in percent)
n is the number of time periods compounded (like annually, monthly, weekly, or daily)
t is the time period (in years)
In this instance the formula looks like: [tex]A = 30,000(1+\frac{0.03}{1})^{1*2.25}[/tex]
You then solve for A using the formula. It is important to remember to use the order of operations
Can you please answer number 23. And number 24.
Please please show me how to do it and tell me the answers
Answer:24 is 34miles per hour
Step-by-step explanation:
Answer:
1st
A pound is defined as exactly 0.45359237 kilograms.
so 50 x 0.45359237 = 22.679619 Kilograms
2. 55km to miles = 34.16
for an approximate result, divide the length value by 1.609
Step-by-step explanation:
In preparation for the school play, the number of adult tickets sold by the ticket office was 5 less than twice the number of children's tickets. They sold 95 adult tickets. Write an equation you can use to find how many children's tickets were sold.
Answer:
3
Step-by-step explanation:
i think 5-2
Given the quadratic equation: 1/2x^2+3x−10=0
Answer:
x=2.3851648071345037,−8.385164807134505
Step-by-step explanation:
How long will it take to pay off 47,538 with only 4,782 per month?
Please HELPPPP
Answer:
9.9 months not counting mortgage or any other factors
Step-by-step explanation:
B=14 what is 3b-5
Please help me someone
Answer:
37
Step-by-step explanation:
14×1
24×2
42×3
42-5 = 37
Merry Christmas please help
Answer:
All Of The Number At The Top
Step-by-step explanation:
Like Said, The Tables Functions f
So, Basically It's A Challenge,
All Of The Numbers In Row X From Above Table
I Hope You Found This Answer Helpful
Good Day
You'll Get 100% Don't Stress It✨
By: LocalLesMara
What is the result of 60-15? Use the model to find the answer. A 4 B 5 C 12 D 20
Answer:
its a).4
Step-by-step explanation: 60 divided by 15= 4 you can use a calculator to check if im right if you dont trust me
The answer would be 4 if the number expression is 60 ÷ 15 after using the arithmetic operation, option (A) 4 is correct.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that is +, -, ×, and ÷.
It is given that:
The number expression is:
60 ÷ 15
Using model:
= (15 + 15 + 15 + 15) ÷ 15
= 1 + 1 + 1 + 1
= 4
Thus, the answer would be 4 if the number expression is 60 ÷ 15 after using the arithmetic operation, option (A) 4 is correct.
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pleassssssssse hellpp
Answer:
c
Step-by-step explanation:
Solve for the complimentary angle b
Answer:
b = 38
Step-by-step explanation:
The two angles form a 90 degree angle so they add to 90
b+52 = 90
Subtract 52 from each side
b+52-52 =90-52
b = 38
Answer:
38
Step-by-step explanation:
90-52=38
and the little box indicates it's a right angle which is 90 degrees
Brian borrows $7,400 from Ed, who charges him 12% simple interest each year. How much will Brian pay Ed, if he repays after 5 years?
Answer:
$11,840
Step-by-step explanation:
Answer:
$11,840
Step-by-step explanation:
TRUST ME
Box 1:
Dimensions: x by 3x by x
Area of base =x(3) = 3r?
Dimensions: x by 4x-1 by x
Area of base = x(4x-1) = 41²-x
Answer:
1. monomial
2. binomial
Step-by-step explanation:
Box 1's volume will be a monomial
Box 's volume will be a binomial
Basic Computation: Testing M1 2 M2 A random sample of 49 measurements from a population with population standard deviation 3 had a sample mean of 10. An independent random sample of 64 measurements from a second population with population standard deviation 4 had a sample mean of 12. Test the claim that the population means are different. Use level of significance 0.01. (a) Check Requirements What distribution does the sample test statistic follow
Answer:
The sample statistics follows a standard normal distribution since the sample size are large enough.
Step-by-step explanation:
Given that:
First population:
Sample size [tex]n_1[/tex] = 49
Population standard deviation [tex]\sigma_1[/tex] = 3
Sample mean [tex]\overline x _1[/tex]= 10
Second population:
Sample size [tex]n_2[/tex] = 64
Population standard deviation [tex]\sigma_2[/tex]= 4
Sample mean [tex]\overline x_2[/tex]= 12
The sample statistics follows a standard normal distribution since the sample size are large enough.
The null and alternative hypotheses can be computed as:
[tex]\mathbf{H_o:\mu_1=\mu_2}[/tex]
[tex]\mathbf{H_1:\mu_1\ne\mu_2}[/tex]
Level of significance = 0.01
Using the Z-test statistics;
[tex]Z = \dfrac{\overline x_1 - \overline x_2}{\sqrt{\dfrac{\sigma_1^2}{n_1} + \dfrac{\sigma_2^2}{n_2}}}[/tex]
[tex]Z = \dfrac{10- 12}{\sqrt{\dfrac{3^2}{49} + \dfrac{4^2}{64}}}[/tex]
[tex]Z = \dfrac{-2}{\sqrt{\dfrac{9}{49} + \dfrac{16}{64}}}[/tex]
[tex]Z = \dfrac{-2}{\sqrt{0.18367 +0.25}}[/tex]
[tex]Z = \dfrac{-2}{\sqrt{0.43367}}[/tex]
[tex]Z = \dfrac{-2}{0.658536}[/tex]
Z = - 3.037
Z [tex]\simeq[/tex] - 3.04
The P-value = 2P (z < -3.04)
From the z tables
= 2 × (0.00118)
= 0.00236
Thus, since P-value is less than the level of significance, we fail to reject the null hypotheses [tex]H_o[/tex]
This my homework and I'm bad at math if you can take the time please help me out f(x)= (x-5)to the power of 2 +12
I need the vertex
Axis of symmetry
Domain
Range
Answer:
Vertex: (5,12)
Axis of Symmetry: x=5
Domain: (-infinity, +infinity)
Range: [12, +infinity)
Step-by-step explanation:
A store manager purchases a DVD for $15. He marks it up to $21.75 in order to make a profit. What is the percent of increase?
What is the perimeter of the triangle?
a
84 in
b
94 in
c
74 in
d
64 in
Answer:
The answer is C
Step-by-step explanation:
We alsreadyknow that 37 and 12 is the 2 given lines. and The last line is not 37 but pretty close making C the answer.
Answer:
D) 64 In
Step-by-step explanation:
P=12+37+64
Are the following equations parallel, perpendicular, or neither? y= 3x - 1 and y =
-1/3x + 10 *
Parallel
Perpendicular
Neither
Answer:
Perpendicular
Step-by-step explanation:
hange each decimal or mixed decimal to a percent.
a. 0.73
b. 0.023
c. 0.176
d. 2.415
Answer:
a. 73 percent
b. 2.3 percent
c. 17.6 percent
d. 241.5 percent
Step-by-step explanation:
Help me please asap on a time limt
Answer: 51 grams
Step-by-step explanation:
Plug in 60 for t and calculate
ANSWER ASAP AS MANY AS YOU CAN ITS FOR FINALS
Name the relationship complementary,
linear pair, vertical, zen, strate interior corresponding, or alternate conio 1) 2) 3) 4)
can you understand ........
Determine the total surface area of each right triangle-based prism
Answer:
small prism: 630 m²large prism: 2520 m²Step-by-step explanation:
The total surface area of the prism is the sum of the base area and the lateral area. The base area is made up of two right triangles, so will be the product of the triangle leg dimensions. The lateral area is made up of three rectangles whose width is that of the prism and whose equivalent length is the perimeter of the triangle base.
For the smaller prism, the area is ...
(20 m)(21 m) +(3 m)(20 m + 21 m + 29 m) = 420 m² +210 m² = 630 m²
The larger prism is similar, with a scale factor of 2, so its area will be 2² = 4 times that of the smaller prism:
4×630 m² = 2520 m²
__
In summary, the total surface area of each prism is ...
small prism: 630 m²large prism: 2520 m²In 1992, Jason bought a gallon of gas for $1.15. Yesterday, he bought a gallon of gas for $2.12. What is the percentage increase of the price of a gallon of gas from 1992 to yesterday? If necessary, round to the nearest tenth of a percent.
A.
84.3%
B.
45.8%
C.
54.2%
D.
15.7%
time. weight
8. 0.04
9. 0.07
10. 0.14
11. 0.25
12. 0.49
what is the average rate of change in weight of the plankton from week 8 to week 12?
A) 0.0265
B)0.0375
C)0.055
D)0.1125
Answer:D
Because 0.49/12 -0.04/8 = 0.1125
answer this!! will mark brainliest! 20 points
Answer:
Step-by-step explanation:
is the first choice, no other terms have anything in common with the number
399 or variable w