Using compound interest, it is found that Gabriel was left with $6,255.
What is compound interest?The balance, in compound interest, after t years, is given by:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
In which the parameters are given as follows:
P is the principal, which is the value of deposit/loan/....r is the interest rate, as a decimal value.n is the number of times that interest is compounded per year, annually n = 1, semi-annually n = 2, quarterly n = 4, monthly n = 12.In the context of this problem, the values of these parameters are as follows:
P = 6000, t = 2, r = 0.04, n = 12.
The balance after two years is:
[tex]A(2) = 6000\left(1 + \frac{0.04}{12}\right)^{24}[/tex]
A(2) = 6499.
The balance after one year is:
[tex]A(1) = 6000\left(1 + \frac{0.04}{12}\right)^{12}[/tex]
A(2) = 6244.
The interest paid on the first year was:
A(1) - P = 6244 - 6000 = 244.
Hence the amount that he was left with is:
6499 - 244 = $6,255.
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Answer:
Step-by-step explanation:
6254.41
Under very specific instructions, a jeweler made one ring for the queen and one ring for the princess. The gem on the queen's ring weighed 9/10 of a carat and the stone on the princess's ring weighed 7/10 of a carat. How much heavier was the stone on the queen's ring than the stone on the princess's?
Answer: 1/5
Step-by-step explanation:
From the question, we are informed that the gem on the queen's ring weighed 9/10 of a carat and the stone on the princess's ring weighed 7/10 of a carat.
To calculate how heavier the stone on the queen's ring was than the stone on the princess will be:
= 9/10 - 7/10
= 2/10
= 1/5
A recipe calls for 3/4 cup of mayonnaise, 2/3 cups of sour cream, 1/2 cup of buttermilk, and 2 cups of spinach. What are the total cups of this recipe? Make sure your answer is in a mixed number fraction form.
Answer:
Step-by-step explanation:
Simplify 3(2a - y) - 4(2y - a).
Answer:
10a - 11y
Step-by-step explanation:
3(2a - y) - 4(2y - a)
open the parenthesis
6a - 3y - 8y + 4a
combine like terms
6a + 4a - 3y - 8y
10a - 11y
(02.01)
Solve 4(x + 1) = 4x + 4. (1 point)
Select one:
a. No solution
b. 0
c. All real numbers
d. 1
Answer:
the answer is Any Real Number
because 4(x + 1) = 4x + 4 for all value of x
Step-by-step explanation:
4x - 5 - 2x = x - 5
No Solution
X=0
X=4
X=5
Answer:
x = 0
Step-by-step explanation:
Step 1: Write equation
4x - 5 - 2x = x - 5
Step 2: Solve for x
Combine like terms: 2x - 5 = x - 5Subtract x on both sides: x - 5 = -5Add 5 to both sides: x = 0Step 3: Check
Plug in x to verify it's a solution.
4(0) - 5 - 2(0) = 0 - 5
0 - 5 - 0 = -5
-5 = -5
One angle of a triangle measures 118°. The other two angles are congruent. Enter and solve an equation to find the measure x of the congruent angles. An equation is = 180. The congruent angles each measure
Answer:
2x+118=180
x=31
Step-by-step explanation:
Congruent means equal so the two missing angles are same, therefore being 2x. Add 118 to 2x since it is already known and all of that is equal to 180. Solve:
2x+118=180
2x=62
X=31
A gardener is planting a garden in the shape of a square. The gardener wants the side of the square garden to be between 15 and 18 feet long. The gardener wants to put a fence around the garden. How many yards of fencing will be required to enclose this square garden? Remember that 3 feet equals 1 yard. If every yard of fencing costs $1.50, how much will the gardener need to build the fence?
Answer:
$31.99Step-by-step explanation:
The idea begin this problem is to solve for the perimeter of the square garden using the expression for perimeter which is
Perimeter of square= 4L
given that the garden wants the side of the square garden to be between 15 and 18 ft long
Say we go with a length of 16ft (you can pick any number in the range just maintain the formula for the perimeter)
perimeter= 4(16)
perimeter= 64ft
now we have to convert ft to yard
1 yard=3ft
x yard=64ft
cross multiply we have
x=64/3
x=21.33 yards
given that a yard cost $1.5, therefore 21.33 yards will cost
=21.33*1.5
=$31.99
How many kg in 12980 g ?
Help?
Answer:
12.98
Step-by-step explanation:
Jenna’s science teacher changed the number of assignments for the semester to 85. This is shown as the blue line on the graph.
How many more weeks will it take Jenna to complete all the assignments if she completes assignments at the same rate?
more weeks
Answer: it would be 3 more weeks
Answer:
3
Step-by-step explanation:
The Pythagorean Theorem is
a2 + b2 = c2
a + b = c
c² + a²=b²
Answer:
a² + b² = c²
Step-by-step explanation:
Pythagorean Theorem: a² + b² = c²
We use the Pythagorean Theorem to help us solve for missing right triangle side lengths. It is wise to remember this formula.
are the trianlges congruent. am I right?
Answer:
The triangles are congruent.
Step-by-step explanation:
Don't let those little lines mess up. Both triangles have the same shape and size. They are congruent.
Jose needs to enclose a rectangular section of his yard. The perimeter of the section is 27 feet, and the area is 35 square feet. Find the length and width of the section.
Part II: The equation for area is A = LW. Substitute the expression you found for W in Part I into the area equation. Then, if the area is equal to 35 square feet, write the equation in standard form with a, b, and c as whole numbers.
Can somebody give me a answer and explanation to 19× −(1)∙ (−15) please.
Answer:
I dont know the answer but maybe this page can help, it even gives you the explanation or the steps.
Explanation:
symbolab.com
Why is graphite soft
Answer:
because it has a weak inter molecular forces between its layers
Answer:
Its compound
Step-by-step explanation:
What is the answer to this?
-6+13=
Answer: -6+13=7
Step-by-step explanation:
How do I show my work for how many 3/4 are in 6???
Answer: There are 8 3/4 in 6.
Step-by-step explanation:
To find out how many 3/4 are in 6, then divide 6 by 3/4.
6 ÷ 3/4 = 8
amy runs 2 miles south, the turns around and runs 3 miles north. what is her displacement? a. 5 miles , b. 2 miles, c. 1 mile, d. 3 miles . i need hep now .
Option C, 1 mile is the correct answer
The displacement is 1 mile.
Given that, Amy runs 2 miles south, then turns around and runs 3 miles north.
What is displacement?Displacement is the change in the position of any point or object. It has a direction and magnitude, so it is a vector quantity. It is shown with an arrow that points from the starting position to the final position.
Now, Amy runs 2 miles south from the fixed point he runs in the north direction for 3 miles.
So, the displacement=1 mile
Therefore, the displacement is 1 mile.
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Write the equation of a line the line that passes through (3, 9) and is parallel to the line y = 5x - 15.
Answer:
Y=5X-6
Step-by-step explanation:
Y=mx+b
m=5
when x=3 and y=9 b= -6
Adan works as an information technician and fitness trainer. As a technician, he earns $22 per hour. Last week he worked x hours as a technician and his friend paid him $50 for a day of fitness training. Write an expression to represent the total amount Adan earned last week.
Answer: t = 22x + 50
Step-by-step explanation:
t = total amount earned
x = hours worked
We know his friend payed $50, so that is our initial value. We don’t need hours for that one.
For his job as trainer, he earns $22 per hour but we don’t know how many hours he earned, so that is x. That is how I got the 22x.
Hope this helps! And of course, feel free to use any variables of your choice. :)
SPEED QUESTION!!!
the first person that answers this and gives step by step explanation gets 50 points plus brainliest answer!
GOOD LUCK!!!
Answer:
x>13 (C)
Step-by-step explanation:
1) simplify -> 2x+7>33
2) subtract 7 from both sides -> 2x+7-7>33-7 = 2x>26
3) divide both sides by 2 -> 2x/2>26/2
x>13
Henry has a total of 26 quarters and dollars in his pocket. They're worth $17. How many of each type of coin
does Henry have?
A. 16 quarters and 10 dollars
B. 10 quarters and 16 dollars
C. 14 quarters and 12 dollars
D. 12 quarters and 14 dollars
Answer:d
Step-by-step explanation:
what equation could be represented by the number line
I keep getting the answer wrong for the value please help.
Answer: d) +/- 2/3
Step-by-step explanation: Since x^2 is a exponent, to cancel it out you would have to square root both sides. Therefore, x is equal to +/- 2/3.
Answer:
D
Step-by-step explanation:
The answer is D which is ± 2/3.
x² = 36/81
The √36 is 6 and √81 is 9. So √(36/81) will be 2/3. However, the answer is ±2/3 because we are taking the square root so there's a possibility that the answer can be positive and negative.
A car rental service charges a one-time fee of $19.99 in addition to $0.29 per mile drive. If the final total for renting the car is $73.93, select which equation best represents the situation. Let m represent the number of miles driven.
*Answer Choices*
19.99m + 0.29m = 73.93
19.99m + 0.29m = 73.93
(19.99 + 0.29)m = 73.93m
19.99 + 0.29m = 73.93
Answer:
Your answer is: D) 19.99+0.29m=73.93
We are trying to find the miles driven so therefore 0.29$ is per mile. So we have to see how many 0.29$ along with 19.99$ can fully add up to 73.93$
Step-by-step explanation:
Hope this helped : )
Given the following diagram, enter the required information.
Answer:
39° 44' 52''Step-by-step explanation:
Givenm∠DXB = 70° 15' 12''m∠DXC = 30° 30' 20''To findm∠CXBSolutionAccording to Angle Addition postulate:
m∠DXB = m∠DXC + m∠CXBTherefore
m∠CXB = m∠DXB - m∠DXCm∠CXB = 70° 15' 12''- 30° 30' 20'' = 39° 44' 52''The cost of 6 1/4 kg of apples is $400. How much do the apples cost per kg?
Answer: = Rs 64R
Step-by-step explanation:
The cost of 6 (1/4) kg = (25/4) of apples is Rs 400 Cost of apple per kg is = (25/4) /400 = (4/25) × 400
If you were to multiply 3X25, you would have a product of 75.
Explain 2 ways you could rewrite 25 and using the distributive property still obtain a product of 75.
Include one example using addition and the other example using subtraction. For example, if I were to rewrite the integer 72, I could choose (70 + 2) or (80 – 8).
An example with addition is 3x(20+5) as 20 plus 5 is still 25, and an example with subtraction is 3x(30-5), as 30 minus 5 is 25.
how do you make this symbol on laptop ≤ ive just copied and pasted it but how do you make it???
Answer:
It's better to just copy and paste every time you need to use it but if you use it often, hold the option key and period key. This only works on an apple mac.
Btw: It might not work im not sure, since im using a chromebook...
what is 0.075 and 3.56 as a fraction
Answer:
Step-by-step explanation:
1: 3/40
2:89/25
april and bill went to the grocery store to buy chocolate bars. April bought 4 small chocolate bars and 6 large chocolate bars and 3 large chocolate bars. if april paid $16.50 and bill paid $11.25 what is the price of a single large chocolate bar
The cost of a large single chocolate is $0.25.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that April and bill went to the grocery store to buy chocolate bars. April bought 4 small chocolate bars and 6 large chocolate bars and 3 large chocolate bars. April paid $16.50 and bill paid $11.25.
We can write -
4x + 6y = 16.50 ... Eq{ 1 }
3x = 11.25 ... Eq{ 2 }
On solving the equation, we get -
{x} = 11.25/3
{x} = 3.75
Now, we can write -
4x + 6y = 16.50
4 x 3.75 + 6y = 16.50
6y = 16.5 - 15
6y = 1.5
y = 1.5/6
{y} = 0.25
Therefore, the cost of a large single chocolate is $0.25.
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