Answers
Answer:
annually: $19,037.37quarterly: $19,602.30monthly: $19,736.29continuously: $19,804.52Step-by-step explanation:
The amount of an investment P compounded n times per year at annual rate r for t years is ...
A = P(1 +r/n)^(nt)
This formula is conveniently evaluated by a calculator or spreadsheet. In the attached, we made a version of it that only depends on the value of n, the number of compoundings per year. That is used to compute the numbers shown in the attachment, and copied to the Answer block above.
__
Continuously compounded interest results in an account balance computed using the formula ...
A = Pe^(rt) . . . . where the variables have the same definitions as above.
For P=7000, r=0.08, t=13 years, the continuously-compounded account will have a balance of ...
A = 7000e^(0.08·13) = 7000e^1.04 ≈ 19,804.52 . . . . dollars
Related Questions
At Gumdrops Galore candy store, Gina and her sister each fill a bag with gumdrops. Gina's bag of black gumdrops weighs 1 4 of a pound. Gina pays for both her gumdrops and her sister's red gumdrops. In all, Gina buys 3 8 of a pound of gumdrops. She wants to know how much her sister's red gumdrops weigh. Use an equation to find the weight of her sister's red gumdrops.
Answers
Answer:
1/8 of a pound
Step-by-step explanation:
Gina's bag of gumdrops : 1/4 of a pound
Gina's + sister's bag of gumdrops : 3/8 of a pound
To find how much her sister's gumdrops weighed, you will have to subtract fractions.
Equation : 3/8 - 1/4 or 3/8 - 2/8
To subtract, you need to make sure the denominators are the same.
1 × 2
------- = 2/8
4 × 2
Now, you can subtract. Subtract the numerators.
3/8 - 2/8 = 1/8
So, Gina's sister's red gumdrops weigh 1/8 of a pound.
Hope this helped !
Gina's sister's red gumdrops weigh 1/8 of a pound.
How to determine the weight of Gina's sister's red gumdropsLet's use an equation to find the weight of Gina's sister's red gumdrops.
Let x be the weight of Gina's sister's red gumdrops in pounds.
According to the information given:
Gina's bag of black gumdrops weighs 1/4 pound.
Gina pays for both her gumdrops and her sister's red gumdrops, totaling 3/8 pound of gumdrops.
Weight of Gina's gumdrops (black gumdrops) + Weight of sister's gumdrops (red gumdrops) = Total weight of gumdrops purchased
1/4 + x = 3/8
Solve for x
x = 3/8 - 1/4
To subtract fractions, we need a common denominator, which is 8:
x = (3/8) - (2/8)
x = 1/8
Therefore, Gina's sister's red gumdrops weigh 1/8 of a pound.
Learn more about subtraction of fractions
https://brainly.com/question/18175484
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Name the characteristics a shape has to have to be defined as the following:
Quadrilateral
Triangle
Square
Answers
For a shape to be defined as a quadrilateral it has to have 4 sides.
For a shape to be defined as a triangle it has to have 3 sides, with the angles adding up to 180°
For a shape to be defined as a square it has to have 4 sides and angles. The angles must add up to 360° with equal side and angle length.
Answer:
Shapes are the outlines formed from a given area of figure. The characteristics of shapes vary and depend on what the given shape is. Here are the characteristics of a quadrilateral, triangle, and square.
1. Quadrilateral- Quadrilaterals should have four sides and four corners. As long as these two are present, you can call any shape a quadrilateral regardless of how it is formed.
2. Square- A square is a quadrilateral, so it must contain four sides and four corners. However, a square has its sides and corners equally made.
3. Triangle- A triangle should have three sides or vertices and three corners.
Step-by-step explanation:
-3 1/2 - (-4 1/4) on
Answers
3 ¾
Step-by-step explanation:
-3½+4¼=-²/⁴ +17/4=15/4
3¾
Answer:
5/4 or 1 1/4
Step-by-step explanation:
-3 1/2 - (-4 1/4) multiply the number by the denominator and add the numerator: -3*2 = -6 + 1 = -5 same for the other...
-5/2 - (-15/4) now you need the same least common denominator...
-10/4 + 15/4
= 5/4 or 1 1/4
PLEASE RATE!! I hope this helps!!
If you have any questions comment below
17 divided into 3,536
Answers
Answer: 208
Step-by-step explanation:
The number 3536 is called the numerator or dividend, and the number 17 is called the denominator or divisor.
The quotient of 3536 and 17, the ratio of 3536 and 17, as well as the fraction of 3536 and 17 all mean (almost) the same:
3536 divided by 17, often written as 3536/17 = 208
Solve 5+ 4.7 (21 + 3x) = 41
Answers
c. A detergent contains a mixture of chemicals: A, B and C in the ratio 4: 10:10. A bottle of detergent contains 1.8 litres of Chemical C. How much of chemical A and B does the bottle contain? 161
Answers
Answer:
A = 0.72l B = 1.8l C = 1.8l
Step-by-step explanation:
A:B:C = 4:10:10
It means that B and C are equal
It is told that C contains 1.8 liters
B have to contain 1.8 liters too
1.8l*4/10 = 0.72l
You can also write it like this (this version is easier for me):
1.8l:10 = 0.18l
4*0.18l = 0.72l
Hope that I helped :)
Which of the following is not a polynomial identity?
O A. a? (b+c) = a(®+c)
a
O
O B. (22+3)(c + dla) = (ac-bet)* + (ad + bc)
+
O C. 22 - B° = (a - b)(a2 + ab + b)
OD. (a+b)2 = 22 + 2ab+ b2
=
Answers
Answer:
A
Step-by-step explanation:
If we start from top to bottom all we have to do is check which ones are not equal.
The first one is
[tex]a^2(b+c) = a^3(\frac{b}{a}+c)[/tex]
If we multiply is out we get
[tex]a^2b+a^2c = a^3*\frac{b}{a}+a^3c\\\text{which turns into}\\a^2b+a^2c=a^2b+a^3c[/tex]
That is NOT equal to the other. Making the answer A.
A circular garden has a diameter of 10 feet. Approximately how much edging trim is needed to surround the garden by placing the trim all along the garden's circumference?
Answers
Answer:
31 feet
Step-by-step explanation:
circumference = pi × diameter
pi × diameter = 31.4 (10×3.14)
Answer: 31 ft
Step-by-step explanation:
circumference = pi × diameter
pi × diameter = 31.4 (10×3.14)
Calculate the perimeter of the figure below 13 cm 18 cm 19 cm 5 5 cm 25 cm [1] 85 cm [2] 80 cm [3] 86 cm [4] 81 cm
Answers
13 + 18 + 19 + 25 + 25 + 85 + 160 + 258 + 324 = 927
perimeter =927cm
You just need to add all the edges together and times by the number of the edge when there is several of the same edge. Hope that makes sense.
Explain how you know 1 5/8 is little greater than 1 1/2.
Answers
Answer:
1 5/8 is 1/8 greater than 1 1/2
Step-by-step explanation:
if we take off the one from both expressions, we're left with
5/8 and 1/2.
To better compare the fractions, we can make them have equal denominators. To do this, multiply both the numerator and denominator of 1/2 by 4: (1*4)/(2*4) = 4/8.
5/8 is larger than 4/8 by 1/8, therefore, 1 5/8 is larger than 1 1/2 by 1/8.
Step-by-step explanation:
1 5/8 is greater than 1 1/2 because if you draw 1 5/8 and on the bottom 1 1/2 you will see that 1 5/8 is greater.
How would the following decimal read: 321.222
Answers
Answer:
Three hundred twenty-one and two hundred twenty-two thousandths.
Step-by-step explanation:
Take a glance at the image.
Please accept my apologies if it appears to look bad-
Approximately how many
years would it take for an
investment of $1,000 to grow
to $1,500 with a simple
interest rate of 8%?
Answers
John's water bill this month was $19.67 . Looking at the water bill, it says he used exactly 10,000 gallons of water. How much does he pay per gallon of water used?
Answers
Answer:
0.001967 per gallon
Step-by-step explanation:
19.67/10000 = 0.001967
if you will solve this math 50 point + brainlists=
5+6+6+83+15×53____84
Answers
Answer:
5+6+6+83+15×53=895
I hope it helps ty if yes pls make me brainliest take care
6 + 6 = 12
5+15 = 20
53x83= 4399
4399+32=4431
4431- 84 =4,347
please make me brainalist and keep smiling dude I hope you will be satisfied with my answer is updated
and you have asked me to help please tell me
can you please help me find the area. I put 141 but it says that i am wrong. Can anybody help and say what i did wrong.
Answers
Answer:
3120 think
Step-by-step explanation:
i just did 3x8x10x13
At what interest rate must $112,000 be invested so that it will be worth $392,000 in 14 years?
Answers
Answer:
25%
Step-by-step explanation:
Simple interest= PRT/100
392,000=112,000*R*14/100
392,000=1120*14*R
392,000=15,680R
R= 392,000/15,680
R= 25%
IM STUCK CAN SOMEBODY SOLVE THIS EQUATION
Answers
18,15. 21,18 22,25. 36,30 38,33 39,34
41,4-
How much pound sterling can be obtained while exchanging NRs250000 paying 2% commission?
(Buying rate: 1 pound=NRs 148.96) (Selling rate: 1 pound=NRs 149.74)
Answers
Is the a system of equations has no solution, the graph of the system are?
Answers
Answer:
When you graph the equations, both equations represent the same line. If a system has no solution, it is said to be inconsistent . The graphs of the lines do not intersect, so the graphs are parallel and there is no solution.
I don't understand someone please help
Answers
There are four (4) rectangles: their lengths are 5; their widths are 3.
The formula for the area of a rectangle is length times width.
5 times 3 = 15.
Since there are 4 rectangles total, we can multiply 15 by 4.
15 times 4 is 60.
Next, we have two (2) squares.
The dimensions of the square are 3 by 3.
3 times 3 is 9.
Since we have 2 squares, we can multiply the area of 1 square, 9, by 2.
9 times 2 is 18.
So, the areas of the rectangles are 60, and the areas of the squares are 18.
60 + 18 = 78.
So, the final answer is 78.
Given the matrices A and B, solve for X. Express the numbers using integers or simplified fractions.
Please!
Answers
Answer:
x=5
Step-by-step explanation:
A= 1+4+4+(-4)=5
B= 8+5+4+(-5)=15
15-5=10
10/2=5
x=5
Find the area of the figure.
Answers
answer:
804.980cm²
explanation:
attached
--
if this helped, please consider giving brainliest !
I need help ASAP! I took a screenshot of the question and linked it.
Answers
Before we solve this problem:
⇒ let's figure out what all the variables in the equation stand for
t: number of years after initial rabbit populationr(t): number rabbits in 't' yearsQuestion 16: How many rabbits will there be in 8 years?Since it is asking how many rabbits there be in 8 years⇒ that means we substitute 8 into 't' of the equation
[tex]R(t) = 225e^{0.375t} =225e^{0.375*8} =225e^3 = 4519.2[/tex]
*we will round down the number of rabbits since it is impossible to
have 0.2 of a rabbit
There will be 4519 rabbits in 8 years.
Question 17: When will the population be 15000?Since it asking for when the population or R(t) will be 15000⇒ we substitute 15000 into 'R(t)' of the function and solve for 't'
[tex]R(t) = 225e^{0.375t}\\15000=225*e^{0.375t}\\\frac{15000}{225} =e^{0.375t}\\ln(\frac{15000}{225})=0.375t\\ t = 11.2[/tex]
*in this case, you want it to the nearest year, round it up since we
asked for how many years, and if we were to say 11, the
the population of rabbits wouldn't have reached that number yet,
so we will round up to ensure that number has been reached by
that year.
It will take at least 12 years for the rabbit population to reach 15000
Hope that helps!
Given h of x equals 3 times the square root of x plus 2 end root, which of the following statements describes h(x)?
The function h(x) is increasing on the interval (–∞, –2).
The function h(x) is decreasing on the interval (2, ∞).
The function h(x) is decreasing on the interval (–∞, 2).
The function h(x) is increasing on the interval (–2, ∞).
Answers
Answer:
The function h(x) is increasing on the interval (-2, ∞)
Step-by-step explanation:
Given function: [tex]h(x)=3 \sqrt{x+2}[/tex]
We cannot square root a negative number, therefore the domain (x-values) is restricted:
[tex]x+2\geq 0 \implies x\geq -2[/tex]
Therefore, [tex]h(x)\geq 0[/tex]
⇒ The function h(x) is increasing on the interval (-2, ∞)
Answer:
FLVS ANSWER D- The function h(x) is increasing on the interval (–2, ∞).
Step-by-step explanation:
you dont need one
please help me Find m
Answers
Answer:
60 degree is the value of m
Three neighbors plan to complete fencing projects this spring. As shown in the diagrams below, Neighbor A plans to fence in his rectangular backyard with a 6-foot tall wooden privacy fence. Neighbor B plans to construct a circular chain link fence around his pool. And, Neighbor C is putting a vinyl fence around three side of his front yard. Note: Diagrams are not drawn to scale. Intended fences are marked with a dashed line.
Neighbor A:
Neighbor B:
Neighbor C:
Neighbor A can put up three 8 foot sections of wood fencing in two hours.
Neighbor B can put up 15 feet of chain link fencing each hour.
Neighbor C can put up 1 yard of vinyl fencing in half an hour.
Which neighbor's fencing project will take the least amount of time to complete?
Which neighbor's fencing project will take the most amount of time to complete?
Answers
Answer:
i think c
Step-by-step explanation:
Answer:
Neighbor C will take the least amount of time and Neighbor B will take the most amount of time. Let me know if i'm right!
Step-by-step explanation:
I hope this helps! Have a good weekend!! :)
Please help me I will mark BRAINLY
Answers
Answer:
see explanation
Step-by-step explanation:
(a)
5% of N 80000
= [tex]\frac{5}{100}[/tex] × 80000
= 0.05 × 80000
= N4000 ← VAT
(b)
total cost = 80000 + 4000 = N84000
Naoya read a book cover to cover in a single session, at a rate of
55
5555 pages per hour. After reading for
4
44 hours, he had
330
330330 pages left to read.
How long is the book?
Answers
Answer:
550pages and 10 hours
Step-by-step explanation:
Convert the unit of length. Round the answer to one decimal place if necessary. Assume 1 yd ≈ 0.914 m.
8m≈ yd
8m≈________ yd ?
Answers
Answer:
8.75
Step-by-step explanation:
I divided 8 by .914 and got and estimate of 8.75
The length of a rectangle is six times its width.
If the perimeter of the rectangle is 84 in, find its area.
Answers
Step-by-step explanation:
Length = 6x
width = let x be width
Perimeter = 84 in
Now
Perimeter = 2 ( l + b )
84 = 2 ( 6x + x )
84 = 2 × 7x
84 / 2 = 7x
42 = 7x
x = 42 / 7
x = 6
now
width = 6 yards
length = 6x = 6 × 6 = 36 yards
now
area = l × b
= 6 × 36 yd
= 216 yd²