Craig opened a savings account and deposited $600.00 as principal. The account earns 2%
interest, compounded annually. What is the balance after 6 years?
Use the formula A =
1 +
(starting amount), r is the interest rate expressed as a decimal, n is the number of times per
year that the interest is compounded, and t is the time in years.
Round your answer to the nearest cent.
Answers
Answer:
the answer is 675.70 or 4,504.33
Step-by-step explanation:
the right answer is that
Related Questions
Triangle DEF ~ Triangle BCA
Select ALL angles that have a sine of 12/37
- A
- B
- C
- D
- E
- F
Answers
The two triangles, Triangle DEF ~ Triangle BCA. answer that DE = 3.6, EF = 1.47 and FD = 2.8.
Given the two triangles, Triangle DEF ~ Triangle BCA. Let us understand this notation first. '~' means 'is similar to'. So, it says that Triangle DEF is similar to Triangle BCA. The meaning of similarity is that the two triangles have the same shape but different sizes,
Similarly, angles E and C, as well as angles F and A, are corresponding angles. Since corresponding angles of similar triangles are congruent, we can write:D = B, E = C and F = ABy the transitive property of equality, we can write:D = B, E = C, F = A => DE = BC, EF = AB and FD = CA (using corresponding sides of the triangles).So, the triangles DEF and BCA are similar and their corresponding sides are proportional. Therefore, we can write: DE/BC = EF/AB = FD/CA = k (some constant)If we consider DE/BC = k, we can write: DE/k = BC and DE/k + EF/k = AB and (DE + EF)/k = FDAnd, from the given information, we know that CD = 3, EA = 4 and FB = 6.
So, we can write:BC + CD = 5 (since AB = EA + FB = 4 + 6 = 10 and AB/BC = EA/CD => BC = AB * CD/EA = 10 * 3/4 = 7.5)FD + CD = 9 (since FD/CA = EF/EA => FD = EF * CA/EA = 6 * 9/4 = 13.5)So, we get the following system of equations:DE/k + EF/k = 10/k = 2.5 (from the given EF = 2.5)DE/k = 7.5 - CD = 4.5 (from the equation BC + CD = 5)EF/k = AB - DE/k = 5.5 (using the first equation)DE/k + FD/k = 13.5/k (from the equation FD + CD = 9)DE/k = CD = 3 (from the given information)FD/k = 10.5/k (using the third equation)Solving these equations, we get:k = 3.75, DE = 13.5/3.75 = 3.6, EF = 5.5/3.75 = 1.47 and FD = 10.5/3.75 = 2.8.
So,we get the answer that DE = 3.6, EF = 1.47 and FD = 2.8.
To know more about Triangle .
https://brainly.com/question/2217700
#SPJ8
Which graph is a function of x?
Answers
Answer:
The first graph is the function of x
Is (6, –2) a solution to this system of equations? y = –1/6 x − 1 y = 1/6 x − 3
Answers
Answer:
Yes, (6, -2) is a solution to the given system of equations.
Step-by-step explanation:
Please write y = –1/6 x − 1 y = 1/6 x − 3 as follows, for greater clarity:
y = (–1/6)x − 1
y = (1/6)x − 3
Let's actually solve this system:
y = (–1/6)x − 1
y = (1/6)x − 3
-----------------------
2y = -4, or y = -2
Now find x. Arbitrarily we choose to use the first equation for this purpose:
y = (-1/6)x - 1. We set y = -2 and find x: -2 = (-1/6)x - 1
Combining the constants, we get -1 = (-1/6)x, or 6 = x
Yes, (6, -2) is a solution to the given system of equations.
Lind domain and Range for 9x) = 1-dx²_X+2 without graphing. Prove that [0, 1] & [11, 21]
Answers
The domain of the function is all real numbers, and the range is [0, 1] and [11, 21].
To find the domain and range of the function f(x) = 1 - dx² - x + 2, we can analyze its properties without graphing.
Domain:
The domain of a function consists of all the valid input values, or the values of x for which the function is defined. In this case, the only restriction we need to consider is the square root of a negative number.
In the given function, there are no square roots involved. Therefore, the function is defined for all real numbers. The domain is the set of all real numbers, which can be represented as (-∞, ∞).
Range:
The range of a function consists of all the possible output values, or the values that f(x) can take. To determine the range, we need to consider the behavior of the function as x approaches positive or negative infinity.
As x approaches positive or negative infinity, the dominant term in the function is -dx². If d is positive, as x gets larger, the term -dx² becomes more negative, approaching negative infinity. Similarly, if d is negative, as x gets larger, the term -dx² becomes more positive, approaching positive infinity.
Since the remaining terms in the function (1-x+2) are constants, they do not affect the behavior as x approaches infinity. Therefore, the range of the function depends on the value of d.
If d is positive, the range of the function is (-∞, 1+d). As x approaches negative infinity, the function approaches positive infinity, and as x approaches positive infinity, the function approaches 1+d.
If d is negative, the range of the function is (1+d, ∞). As x approaches negative infinity, the function approaches 1+d, and as x approaches positive infinity, the function approaches negative infinity.
Given that the range is [0, 1] & [11, 21], we can conclude that d is positive, and the range is [0, 1+d]. Since the range also includes [11, 21], we can infer that 1+d = 11, and solving for d gives d = 10.
Therefore, the domain of the function is (-∞, ∞), and the range is [0, 1] & [11, 21].
To learn more about domain of the function visit : https://brainly.com/question/28934802
#SPJ11
Calculate the property tax on a condominium located in a city in British Columbia and assessed at $525,200 if the current tax rate is 1.426%.
Answers
The property tax on a condominium assessed at $525,200 in a British Columbia city with a current tax rate of 1.426% is $7,492.55.
Calculating property taxes involves multiplying the assessed value of a property by the current tax rate. In this case, we have a condominium located in a city in British Columbia, with an assessed value of $525,200 and a tax rate of 1.426%.
To determine the property tax amount, we need to multiply the assessed value by the tax rate. First, we convert the tax rate from a percentage to a decimal by dividing it by 100. In this case, 1.426% becomes 0.01426.
Next, we multiply the assessed value ($525,200) by the tax rate (0.01426). The calculation is as follows:
$525,200 x 0.01426 = $7,492.35
Therefore, the property tax on the condominium amounts to $7,492.35.
Learn more about Property tax
brainly.com/question/30757120
#SPJ11
You poll your friends on how many different states they have visited and plot the results in a histogram. Which of the following cannot be the value of SS (sum of squares) for the data you collected, and why? | Select] Thinking of those same data (how many states your friends have visited), which of the following cannot be the value of the variance and standard deviation, and why? (
Answers
The sum of squares cannot be D. -25, because SS can never be negative.
We know that the sum od squares is
∑(xₐ - mean)²
where,
xₐ are the data point recorded. The sum of squares measures the deviation of the data points from the mean of the variable. The sum of squares can be total, egressive, or residual.
Hence in a regression analysis of an equation
Y = A + BX + E
where X is the explanatory variable, E is the error term or residual and Y is the explained variable, we can get a sum of squares of Y, X, and E.
the sum of squares can be 0 if there is no variation of the data points from the mean, or even a very large number if the variation is high.
Since the numbers are essentially squared, the only way to get a negative sum of squares is if imaginary numbers are involved, which is an impossible task in regression analysis as it deals with real data. Hence the sum of squares can never be negative.
Hence from available options, the sum of squares cannot be D. -25, because SS can never be negative
To learn more about Regression visit
https://brainly.com/question/28178214
#SPJ4
Complete Question
You poll your friends on how many different states they have visited and plot the results in a histogram. Which of the following cannot be the value of SS ( sum of squares) for the data you collected, and why?
A. 1, because its too low
B. 144, because there arent that many states
C. 3.87, bwcause you cant hahe a decimal
D. -25, because SS can never be negative
in february 2002 the argentine peso lost 70% of its value compared to the united states dollar. this devaluation drastically raised the price of imported products. according to a survey conducted by ac nielsen in april 2002, 68% of the consumers in argentina were buying fewer products than before the devaluation, 24% were buying the same number of products, and 8% were buying more products. furthermore, in a trend toward purchasing less-expensive brands, 88% indicated that they had changed the brands they purchased. f an appetizer, entree, beverage, and dessert. you have a choice of five appetizers, ten entrees, three beverages, and six desserts. how many possible complete dinners are possible?
Answers
After considering the given data we conclude that the there are 900 possible complete dinners generated that will be satisfactory to the dedicated question.
To evaluate the number of possible complete dinners, we need to apply multiplication regarding the number of choices for each course.
The number of possible complete dinners is the product of the number of choices for the appetizer, entree, beverage, and dessert.
Its is known to us that we have a choice of five appetizers, ten entrees, three beverages, and six desserts, the number of possible complete dinners is:
Number of possible complete dinners = number of choices for appetizer × number of choices for entree × number of choices for beverage × number of choices for dessert
Number of possible complete dinners = 5 × 10 × 3 × 6
Number of possible complete dinners = 900
To learn more about multiplication
https://brainly.com/question/29793687
#SPJ4
The complete question is
A restaurant menu has a price-fixed complete dinner that consists of an appetizer, an entrée, a beverage, and a dessert. You have a choice of 5 appetizers, 10 entrées, 3 beverages, and 6 desserts. Determine the total number of possible dinners.
The master equation describing the evolution of the probability Pm (t) to find an electron on site m of a linear chain of molecules with lattice constant a = 1nm is given by: dt -2RP.m + RPm+1 + RPm-1 Assuming that R = 10125-1, find the diffusion constant in cm²/s. Estimate a characteristic time for the electron to move a distance of 1 micron.
Answers
The electron to move a distance of 1 micron is approximately 0.255 s.
The main equation describing the evolution of the probability Pm (t) of finding an electron at point m in a molecular chain with lattice constant a = 1 nm is given by the formula: dt = -2RP.m RPm 1 RPm- 1 Assuming that R = 10-125 , calculate the diffusion constant in units of cm²/s. The diffusion constant is given by D = a²v/2t where a = 1 nm, v = RPm = 2RP and R = 10-125D = a²v/2tD = (10-9)² x 2RP / 2t = 4.2 x 10 ⁻¹⁰ RPt
Evaluate the characteristic time for an electron to travel a distance of 1 micron. Room temperature can be assumed for the electron, T = 27°C = 300K. The diffusion constant is given by the formula D = kbT/6πηra = (1.38 x 10-23 J/K) (300K) / (6π(8.9 x 10-4) Nsm-² x 1 x 10-⁷ m)D = 1 .57 x 10-2 cm²/s Distance 1 micron = 10⁻⁴ cm So by the formula D = sqrt((2d²)/t) t = 2d²/Dt = 2 x (10⁻⁴)² / (1.57 x 10 ⁻⁵ ) = 0.255 s Therefore, the characteristic time of an electron to travel a distance of 1 micron is approximately 0.255 s.
To know more about probability refer to
https://brainly.com/question/32004014
#SPJ11
4x + 7 = 23 whats the x?
Answers
Answer:
4x=16
x=4
Step-by-step explanation:
isolate x. first subtract 7 to get 4x=16 then divide by 4 to get your answer
Answer:
16
Step-by-step explanation:
Hope this helps and have a great day!!!!
The cone below has a radius of 1 inch and height of 4 inches. What is the slant height in inches?
a. √-5
b. √−−17
c. 15
d. 17
Answers
Answer:
B is the correct answer ([tex]\sqrt{-17}[/tex])
Step-by-step explanation:
The slant height of the cone is √17.
What is Cone?A cone is a shape formed by using a set of line segments or the lines which connects a common point, to all the points of a circular base.
Here, radius = 1 inch
height = 4 inches
Slant height = [tex]\sqrt{r^2+h^2}[/tex]
= [tex]\sqrt{1^2+4^2}[/tex]
= [tex]\sqrt{1+16}[/tex]
l = √17 inches.
Thus, the slant height of the cone is √17.
Learn more about Cone from:
https://brainly.com/question/16394302
#SPJ2
HELP ASAPPPPP WHAT IS THE ANSWER
Answers
Answer:
point j is .55 because its .55
Step-by-step explanation:
please answer 100 pt
Answers
Answer:
corresponding angle are:
<1=<5
<2=<6
<7=<3
<8=<4
<1&<5,<2&<6,<7&<3,<8&<4are pair corresponding angle.
Answer:
Step-by-step explanation:
corresponding angles are two angles at the same point on two parallel lines cut by a transversal.
so 1 n 5 are corresponding angles
so are 2 n 6, 3 n 7 & 4 n 8
Someone plz help me no need to explain
Answers
Answer:
Triangle, Pentagon, Hexagon, Decagon
Step-by-step explanation:
Triangle = 3 sides
Pentagon = 5 sides
Hexagon = 6 sides
Decagon = 10 sides
sorry for the late response
Solve the system of equations graphically: x – y = 1 and 3x = 3y + 3
Answers
Answer:
x=y+1,y=y
Step-by-step explanation:
Let f (x) = x2 + 2x + 3 What is the average rate of change for the quadratic function from X = -2 to x= to x = 5?
Answers
Answer:
Answer: 5
Step-by-step explanation:
The average rate of change for the function f(x) from x=a to x=b is given by :-
The given function : (Its a quadratic function with degree 2.)
The average rate of change for the quadratic function from x=−2 to x = 5 will be :-
[Note (-)(-)=(+)]
Hence, the average rate of change for the quadratic function from x=−2 to x = 5 is 5 .
Step-by-step explanation:
Problem 5 Let X₁.....Xy be iid according to EX= for all i=1,2,.... Define Y = 1 if X, > density function of Y₁. a continuous probability density fx. Suppose and Y₁ = 0 otherwise. Find the probability
Answers
Given that X1, X2, ..., Xy are i.i.d according to the probability density function fx such that EX = 2. Define Y = 1 if X > 2 and Y = 0 otherwise.
Find P(Y = 1).
Given that X1, X2, ..., Xy are i.i.d according to the probability density function fx such that EX = 2. Thus the probability density function is,fx = 1/2 for x ∈ (0, 2) fx = 0 elsewhere
Therefore, P(X > 2) = ∫2∞ fx dx= ∫2∞ 0 dx= 0Now, P(Y = 1) = P(X > 2) = 0
Hence, the required probability is 0. Therefore, the correct option is (D) 0.
Likelihood is a proportion of the probability of an occasion to happen. Numerous occurrences cannot be completely predicted. Using it, we can only predict the chance of an event happening, or how likely it is to happen.
The probability of an event occurring is determined by dividing the total number of possible outcomes by the number of favorable outcomes. A coin flip is the simplest illustration. There are only two outcomes that can occur when flipping a coin; either heads or tails is the outcome.
Know more about probability:
https://brainly.com/question/31828911
#SPJ11
Can someone help me asap please.
Answers
Select all the expressions that are equivalent to 4 – x. x – 4 4 + -x -x + 4 -4 + x 4 + x Use the distributive property to write an expression that is equivalent to 5(-2x – 3). If you get stuck, use the boxes to help organize your work.
Answers
Answer:
B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
8) What is X2 (119 - x) 1 You do! ( 3x +11)
Answers
Answer:
X2 (119 - x) = 119[tex]x^{2}[/tex]-[tex]x^{3}[/tex]
Step-by-step explanation:
I need help in this. Please
Answers
Answer:
search it up :)
Step-by-step explanation:
HELP ASAP 20 POINTS BRAINLIEST
Answers
Answer:
56.55 [tex]cm^{3}[/tex]
Step-by-step explanation:
r = 6/2 = 3
Area of a cylinder:
π[tex]r^{2}[/tex] x length
[tex]3^{2}[/tex]π x 6 = 54π
Area of sphere:
[tex]\frac{4}{3}[/tex] x π x [tex]r^{3}[/tex]
[tex]\frac{4}{3}[/tex] x π x [tex]3^{3}[/tex] = 36π
54π - 36π = 18π = 56.55
At the movies josh buys somes snacks for his family. He purchases one bucket of popcorn for$ 9.50 and four drinks. If he spent $20.50 total, write and solve an equation to find d, the amount each drink cost.
Answers
Answer:
$2.75
Step-by-step explanation:
9.50-20.50=11.00
11.00÷4=2.75
Answer:
2.75; 9.50 + 4x = 20.50
Step-by-step explanation:
First, lets write an equations: 9.50 + 4x = 20.50. Subtract 9.50 from 20.50, giving us: 4x = 11. Then divide 11 by 4, giving us x = 2.75. Each drink cost $2.75. To check this, plug in 2.75 for x in the original equations and you will get 20.50.
How do i write 9 1/3 as a fraction greater than 1
Answers
To write 9 1/3 as a fraction greater than 1, we can convert the mixed number into an improper fraction.
Step 1: Convert the whole number to a fraction.
9 can be written as 9/1.
Step 2: Find the common denominator.
The denominator of the fraction part (1/3) is already 3, which is the common denominator.
Step 3: Add the fractions.
9/1 + 1/3
Step 4: Determine the new numerator.
To add the fractions, we need a common denominator. Since the denominators are already the same, we can add the numerators:
(9 + 1)/3 = 10/3
The fraction 10/3 represents 9 1/3 as an improper fraction. To express it as a fraction greater than 1, we can divide the numerator by the denominator:
10 ÷ 3 = 3 remainder 1
This means that the improper fraction 10/3 can be written as 3 and 1/3.
Therefore, 9 1/3 can be written as the fraction 10/3, which is greater than 1.
What is the answer. Please do NOT send me a link. I am severely struggling with this question.
Answers
Answer:
360 ft²
³
Step-by-step explanation:
The volume of the rectangular pyramid is calculated as
V = [tex]\frac{1}{3}[/tex] Ah ( A is the area of the base and h the perpendicular height )
Here A = 10 × 6 = 60 ft² and h = 6 , then
V = [tex]\frac{1}{3}[/tex] × 60 × 6 = 20 × 6 = 120 ft³
The volume of the rectangular prism is calculated as
V = 10 × 6 × 4 = 60 × 4 = 240 ft³
Total volume = 120 + 240 = 360 ft³
Whats the value of x????
Answers
Answer:
X = 23
Step-by-step explanation:
oppsosite angles are equal so the brackets equal 90 degrees like the right angle opposite.
90-21 = 69
69 / 3 = 23
x = 23
Answer:
23
Step-by-step explanation:
The equation on the left will equal to 90 due to it being congruent to the angle with the square. Therefore, make the equation out to be 3x+21=90 and subtract 21 from both sides and that will give you 69. Divide 69 by three which will leave you with x=23
Luis paid a total of $72.00 for 3 pairs of shorts. If each pair of shorts costs the same amount, what is the price of one pair of shorts?
Answers
Answer:
24
Step-by-step explanation:
72/3
When working in trigonometry, you typically measure angles in
Answers
Answer:
Radians
Hope that helps!
Step-by-step explanation:
Mother put 22 apples in each basket. How many baskets did she use for 390 apples ?
Answers
Please help me find the measure of the arc or angle indicated. (Angles on circles)
Answers
Answer: 9. 54; 10. 220; 11. 71; 12. 262
Step-by-step explanation: Chord and tangent intersection angle is half the arc measure or circle, and inscribed angles are also half the included arc measure
How do you do this problem?
Answers
Answer:
Step-by-step explanation:
0.3a = -6
Divide 0.3 from both sides
a = -20