Prince Charming invests $3000 for 5 years at a rate of 4% per year simple interest.
Calculate the total interest he will receive.
Answer:
$ 600
Step-by-step explanation:
From the question given above, the following data were obtained:
Principal (P) = $ 3000
Time (T) = 5 years
Rate (R) = 4%
Interest (I) =?
The total interest he will receive can be obtained as follow:
I = PTR/100
I = 3000 × 5 × 4 / 100
I = 60000 / 100
I = $ 600
Thus, the total interest he will receive is $ 600
The amount of $600 received by Prince Charming on the investment of $3000 for 5 years.
Prince Charming invests $3000, thus the principal amount is $3000.
He invest the same amount for 5 years, thus time we have to paid on this principal is 5 years.
The rate for which the principal amount increase is 4 %.
The formulated way to represent the simple interest (I) after passing t years of time, at a rate of r % and having a principal amount of P is mentioned below.
[tex]I=\dfrac{P \times r \times t}{100}[/tex]
Substitute the given values in the above formula to calculate simple interest.
[tex]\begin{aligned}I&=\dfrac{3000 \times 4 \times 5}{100}\\&=600 \end{aligned}[/tex]
Thus, the amount of $600 received by Prince Charming on the investment of $3000 for 5 years.
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Based on the scatterplot below what is the most likely value for “Pounds of Apples” when “Number of Apples” is 60?
Write an expression that represents "the sum of x and 8".
A.X-8
B.х/8
C.X + 8
D.8 x
Answer:
[tex]\boxed{\sf{x+8}}[/tex]Step-by-step explanation:
X is a variable.
A sum is an addition.
[tex]\Longrightarrow: \sf{x+8}}[/tex]
Therefore, the final answer is C. x+8.I hope this helps. Let me know if you have any questions.
he square root of 125 is closest to what whole number? *
According to a survey of workers,6/50 of them walk to work,1/50 bike, 10/50 carpool, and 33/50 drive alone. What percent of workers walk or bike to work? From the survey, nothing% of workers walk or bike to work.
Answer:
14%
Step-by-step explanation:
The sum of two numbers is -- 3. One number is 26 more than the
other one. Find the numbers.
Answer:-29+26
Step-by-step explanation:
Sara threw her math book off a building . The height of the book, seconds after being thrownis modeled by the equation below. The height measured in feet. h(x)=-5(x+2)(x-7) what is the height of the book when it is thrown?
Answer: 70 ft
Step-by-step explanation:
Given
height of book is measured by the function is
[tex]h(x)=-5(x+2)(x-7)[/tex]
when the book is thrown [tex]x=0[/tex]
[tex]\therefore h(x=0)=-5(0+2)(0-7)\\\Rightarrow h(x=0)=70\ ft[/tex]
The height of the book is [tex]70\ ft[/tex]
The director of Washington County Animal Services wants to learn more about the adoptable pets in local animal shelters. Which of these methods will produce the most representative sample of the population of adoptable pets at shelters in Washington County? O A. The director visits each shelter and evaluates the first 10 cats in each place. O B. The director evaluates all adoptable rabbits at area shelters. O C. The director selects adoptable pet ID numbers at random from each shelter. O D. The director evaluates every adoptable pet at one selected shelter.
Answer: It is C, The director selects adoptable pets ID numbers at random from each shelter!
Step-by-step explanation: I took the quiz on A P E X^^
3 with the power of 5 equals 243 explain how to use that fat quickly evaluate 3 to the power of 6
Answer:
3 to the power of 6 is 729
Step-by-step explanation:
What unit of measurement would you use to weigh an adult?
Answer:
pounds (lb)
Step-by-step explanation:
A number cube is marked 1, 2, 3,4,5 and on 6 it's face if you roll the cube one time what is the probability that is 2
Answer:
1/6
Step-by-step explanation:
This is your answer
Hope this helps :)
Answer:
1/6
Step-by-step explanation:
Check My Work Motorola used the normal distribution to determine the probability of defects and the number of defects expected in a production process. Assume a production process produces items with a mean weight of ounces. a. The process standard deviation is , and the process control is set at plus or minus standard deviations. Units with weights less than or greater than ounces will be classified as defects. What is the probability of a defect (to 4 decimals)
Answer:
0.0026 x 1000 = 2.6
Step-by-step explanation:
Looked it up
Choose ALL that apply to classify the decimal.
0.186
Question 3 options:
Rational
Repeating
Irrational
Nonterminating
Terminating
Answer:
Rational TerminatingStep-by-step explanation:
A Rational number is one that can be expressed as a fraction where the denominator is not zero. The above decimal can be expressed as a fraction in the form : ¹⁸⁶/₁₀₀₀
The decimal is also a terminating decimal which describes a decimal number that has a certain number of digits after the decimal point. In other words, the digits after the decimal point do not go on forever. 0.186 has three digits after the decimal meaning it does not go on forever.
6x+5y=−1 6x + 9y = −21
Answer:
(-42/67,-231/67)
Step-by-step explanation:
-21=-21=-21
ill mark brainlist plss help
Answer: 200km
Step-by-step explanation:
200 mm and 200cm are too small.
Answer:
I believe the answer would be 200 km.
Step-by-step explanation:
The distances listed for A, B, C leave barely enough distance between one house to another. The only reasonable option would be kilometers in this instance. This question was also answered already, and the ones with the highest reviews had chosen D) 200 km. Good Luck!
Problem 1.9. Find the relative ertrema of the following function. Determine whether each
ertremum is a marimum or a minimum.
f(x) =
[tex] \frac{ {x}^{2} }{ {x}^{4} + 16 } [/tex]
Answer:
Min: 0
Max: 0.125
Step-by-step explanation:
[tex]\frac{d}{dx} \frac{x^2}{x^4+16} =0\\\frac{-(2x)(x^4-16)}{(x^4+16)^2} =0\\x=0, 2, -2\\f(0)=0\\f(2)=f(-2)=0.125\\\frac{d^2}{dx^2} f(x)=\frac{6x^8-384x^4+512}{(16+x^4)^3} \\f''(0)=0.125>0\\f''(2)=f''(-2)=-0.125[/tex]
Min: 0
Max: 0.125
two more than a number is less than 13
Answer:
x + 2 < 13
Step-by-step explanation:
hopefully this helps :)
have a nice day !!
**please let me know if this wasn't what you were looking for**
What are the solutions to x2 + x-7≤0
2+x-7≤0
(2-7=-5)
x-5≤0
+5 +5
x≤5
---
hope it helps
Find the average rate of change of f(x)=2x^2-8x from x=2 to x=5. Simplify your answer as much as possible.
f(x)=2x^2-8x from x=2 to x=5. Simplify your answer as much.
We need to find [f(b) - f(a)]/(b - a).
Let a = 2
Let b = 5
f(2) = 2(2)^2 - 8(2)
f(2) = 8 - 16
f(2) = -8
We now find f(5).
f(5) = 2(5)^2 - 8(5)
f(5) = 50 - 40
f(5) = 40
[f(5) - f(2)]/(5 - 2)
(40 - (-8))/(3)
(40 + 8)/3
48/3 = 16
The average rate of change is 16.
naing ducts Of Differences Show that (x - 1)(x - 1) and x² – 2x + 1 are equivalent expressions by drawing a diagram or applying the distributive property. Show your reasoning.
Answer:
(x-1)(x-1) = x^2-2x+1
Step-by-step explanation:
x^2-1x-1x+1 = x^2-2x+1
A flag pole has a rope that attaches to the ground from the top of the flagpole the rope create a 30° angle with the ground and is attached 10 m from the bottom of the pool how long is the rope in how tall is the flagpole
Answer:
[tex]5.77\ \text{m}[/tex]
[tex]11.54\ \text{m}[/tex]
Step-by-step explanation:
p = Height of pole
h = Length of role
b = Distance between the bottom of the rope and bottom of the pole = 10 m
[tex]\theta[/tex] = Angle between the rope and the ground = [tex]30^{\circ}[/tex]
[tex]\tan\theta=\dfrac{p}{b}\\\Rightarrow p=b\tan\theta\\\Rightarrow p=10\tan30^{\circ}\\\Rightarrow p=5.77\ \text{m}[/tex]
The length of the rope is [tex]5.77\ \text{m}[/tex]
[tex]\cos\theta=\dfrac{b}{h}\\\Rightarrow h=\dfrac{b}{\cos\theta}\\\Rightarrow h=\dfrac{10}{\cos30^{\circ}}\\\Rightarrow h=11.54\ \text{m}[/tex]
The length of the pole is [tex]11.54\ \text{m}[/tex]
Karla invests $10,000 into an account with a 2.2% interest that is compounded annually.
How much money will she have in this account if she keeps it for 5 years?
$11, 162.78 amount she have in this account if she keeps it for 5 years.
What is Future value?Future value (FV) is a financial concept that provides a monetary worth to an asset depending on future variables such as interest rates or cashflows. An investor may find it valuable to know how much their investment will be worth in five years given a projected rate of return. Future value is calculated by taking the investment value now, applying predicted growth, and estimating what the investment will be in the future.
We have,
P = $10,000
R= 2.2%
T= 5 years
So, Amount after 5 years
= P (1 + r/2[tex])^{2t[/tex]
= 10,000 (1 + 0.011[tex])^{0.022(5)}\\[/tex]
= $11, 162.78
Learn more about Future value here:
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how would I find the are without height and what would the formula be
Pls help me PLSPLSPLSPLSPLSPLS
Answer:
1
Step-by-step explanation:
As all the others suggest more than two which is what the graph shows
Which statements about the formulas for finding area are true? Select two options.
The area formulas for a triangle and a parallelogram require multiplying base by height.
A triangle and parallelogram with the same base and height will have the same area.
A rectangle and parallelogram with the same base and height will have the same area.
The area formula of a trapezoid requires finding the product of the bases.
The base of a triangle is always the shortest side.
Answer:
The area formulas for a triangle and a parallelogram require multiplying base by height.
A rectangle and parallelogram with the same base and height will have the same area.
Answer:
a and c to make it easier
Step-by-step explanation:
In a complete sentence, describe the relevant angle relationships in the following diagram. Find the measures of 푥푥 and 푦푦.
Answer:
Um, what is 푦푦?
Step-by-step explanation:
Answer:
Yes, but actually yes.
Step-by-step explanation:
Solve systems of equations for y and x:
−9x + 4y = 6
9x + 5y = −33
Answer:
[tex]y = -3[/tex]
[tex]x = -2[/tex]
Step-by-step explanation:
Given
[tex]-9x + 4y = 6[/tex]
[tex]9x + 5y = -33[/tex]
Required
Find x and y
To eliminate x, we simply add both equations
[tex]-9x = 9x + 4y + 5y= 6 - 33[/tex]
[tex]9y= -27[/tex]
Divide by 9
[tex]y = -27/9[/tex]
[tex]y = -3[/tex]
Substitute -3 for y in [tex]9x + 5y = -33[/tex]
[tex]9x + 5 * -3 =-33[/tex]
[tex]9x - 15 =-33[/tex]
Add 15 to both sides
[tex]9x =-15 -33[/tex]
[tex]9x =-18[/tex]
Divide by 9
[tex]x = -18/9[/tex]
[tex]x = -2[/tex]
someone please help me answer this!!!
Answer:
n = 9
Step-by-step explanation:
Using index laws, multiply 3 into 3 to get 9
(x3)^3 = x^n
x^9 = x^n
9 = n
Answer:
n = 9
Step-by-step explanation:
hey mate make my answer brainiest
(x*3)*3=x*n
3×3=n. (reason when bases are same powers are also same)
9=n
n=9
I hope this helps
What is the value of g(2)? Please show work
By the inequality for x over on the right side if x is equal to or greater than 2 you use the bottom equation.
G(2) means x is 2.
Using the bottom equation replace the x’s with 2 and solve.
X^3 -9x^2 +27x-25
2^3 -9(2)^2+27(2)-25
Simplify:
8 -36 + 54-25 =1
The answer is A. 1
.......................................................................................
Answer:
you have it right
Step-by-step explanation: