Answer:
224 lbs
Step-by-step explanation:
V = xyz = 10(14)(2) = 280 ft³
280(0.8) = 224
You invest $7000 in an account bearing 5% interest for ten years. A. How much will the account be worth if compounded quarterly? What about monthly? Daily? B. What do you notice about the amount of additional money you make as the frequency of compounding increases?
Answer:quarterly, monthly, daily
Step-by-step explanation:
quarterly: y=7000 (1+.05/4)'10(4) answer y=11,505.34
monthly: y=7000 (1+.05/12)'10(12) answer y=11,529.07
daily: y=7000 (1+.05/365)'10(365) answer y=11,540.65
What do you notice about the amount of additional money you make as the frequency of compounding increases? The account is worth more
The account will be worth approximately $11,505 if compounded quarterly.
The account will also be worth approximately $11,540 if compounded daily.
A. Compounded quarterly:
n = 4 (quarterly compounding)
A = 7000(1 + 0.05/4[tex])^{(4)(10)[/tex]
A ≈ 7000(1.0125)⁴⁰
A ≈ 7000 x 1.643619463
A ≈ 11505.34
The account will be worth approximately $11,505 if compounded quarterly.
B. Compounded monthly:
n = 12 (monthly compounding)
A = 7000(1 + 0.05/12[tex])^{(12)(10)[/tex]
A ≈ 7000(1.00416666667)^(120)
A ≈ 7000 x 1.6487212707
A ≈ 11540.05
The account will be worth approximately $11,540 if compounded monthly.
C. Compounded daily:
n = 365 (daily compounding)
A = 7000(1 + 0.05/365)^(365*10)
A ≈ 7000(1.0001369863)^(3650)
A ≈ 7000 * 1.6487212707
A ≈ 11540.05
The account will also be worth approximately $11,540 if compounded daily.
B. As the frequency of compounding increases, the additional money earned (compared to simple interest) becomes more significant. In this case, regardless of whether the interest is compounded quarterly, monthly, or daily, the resulting values are very close to each other.
Learn more about Compound Interest here:
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Dillon peeled 40 pounds of potatoes. How many ounces of potatoes did Dillon peel?
Answer:
640
Step-by-step explanation:
40 pounds = 640 ounces
The ounces of potatoes that Dillon peeled is 640 ounces.
What is Unit Conversion?Unit conversion is defined as expressing the same quantity by different measurement units.
For example, a distance of 20 meter can be also expressed as 2000 cm. The distance is same.
Given that,
Amount of potatoes that Dillon peeled = 40 pounds
We have to convert the same amount of potatoes in to the measurement unit of ounces.
We have to convert the unit.
We have the measurement unit that,
1 pound = 16 ounces
40 pounds = 40 × 16 = 640 ounces
Hence 640 ounces of potatoes did Dillon peel.
Learn more about Unit Conversion here :
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What is the end behavior of f(x) =log3 (x+7) -1?
Answer:x=-4
Step-by-step explanation:
Amanda and Carly have the same percentage of green marbles in their bags of marbles. Amanda has 4 green marbles and 16 total marbles. Carly has 10 green marbles. How many of Carly's marbles are NOT green?
Answer:
30
Step-by-step explanation:
They both have the same percentage of green marbles, Amanda has 16 total marbles, 4 of them are green. So 25 percent of her marbles are green. If 25 percent of Amandas marbles are green, 25 % of Carlys marbles are green too. Carly has 10 green marbles, if 10 is 25 percent of the total amount then the total amount if 40, minus 10 from 40 because we only want the non green ones and the answer is 30. :)
Please Help These two!
Thank you
Answer:
7. there are 30 pounds per box
8. $1.89 per notebook
Step-by-step explanation:
A farmer sells 9.4 kilograms of pears and apples at the farmer's market. 2 5 of this weight is pears, and the rest is apples. How many kilograms of apples did she sell at the farmer's market?
Answer: 6.9 kg
Step-by-step explanation:
Given
The combined weight of apple and pears is 9.4 kg
If pears weigh 2.5 kg
The weight of apples is the subtraction of pears weight from the total
[tex]\Rightarrow 9.4-2.5=6.9\ kg[/tex]
Thus, the farmer sells 6.9 kg of apples
Triangle RST and its image, triangle R’S’T’, are graphed on the coordinate grid below.
Which rotation, using the origin as the center of rotation, transformed RST to R’S’T’?
A. a 90° clockwise rotation
B. a 90° counterclockwise rotation
C. a 45° clockwise rotation
D. a 45° counterclockwise rotation
Answer:
B. a 90º counterclockwise rotation
Step-by-step explanation:
You can tell that it moves 90º and it moves in a counterclockwise direction because from RST to R’S’T’ it moves left to right. That is counterclockwise when you look it up.
Hope this helps!!! :)))))
The graphs of functions f and g are shown. Which statements are evidence that function g is the inverse of function f?
Answer:
It is C and D
Step-by-step explanation:
1. Simplify:
50r2-20r
- 10r
A. -5r + 2
B. -5r-2
C. 5r2 +2
Answer:50r2−30r
Step-by-step explanation:
got it of the web.
What is the value of x in the diagram below?
Find the distance between the two points rounding to the nearest tenth (if necessary).
(−1,−2) and (5,2)
Answer:
7.2 units
Step-by-step explanation:
To find the distance between these two points, we want to use the distance formula: d = √[(x₂ - x₁)² + (y₂ - y₁)²]
Plug in the given values of (-1, -2) & (5, 2)
d = √[(x₂ - x₁)² + (y₂ - y₁)²]
d = √[(5 - (-1))² + (2 - (-2))²]
Simplify the parentheses.
d = √[(5 + 1)² + (2 + 2)²]
d = √[(6)² + (4)²]
Simplify the exponents.
d = √[36 + 16]
Add.
d = √[52]
Evaluate the radical.
2√13 or 7.2111
Round the decimal.
7.2 units
Hope this helps!
can someone help please?
CCCCCCCCCCCCCCCCCCCCCCCCCCCCC
please help
Due really soon
Answer:
i believe that would be B
write each expression in simplest form
12c - c =
Answer:
11c
Step-by-step explanation:
12c-c=11c
It would look like this without the variable (just to make it easier to understand)
12-1=11
A circle has a radius of 10 cm. Student tried to find the area of a sector in the circle where the radii formed a 60° angle. Explain two errors the student made.
Answer:
First the student used the formula for circumference instead of area. Then, the student should have written 60/360, not 60/100, because there are 360 degrees in a circle.
Step-by-step explanation:
Answer:
Sample response: First the student used the formula for circumference instead of area. Then, the student should have written 60/360, not 60/100, because there are 360 degrees in a circle.
Step-by-step explanation: Have a nice day<3
A clothing store offers a 30% discount on all items at the store. If the original price of a sweater is $40, how much will you pay for the sweater at the discounted price?
Answer:
x=1
Step-by-step explanation:
Please help with this question it is 60% of my grade.
Answer: b
Step-by-step explanation:
you start with 0 min- equals 24
1 min- 21
2 min- 18
3 min- 15
4 min- 12
5 min- 9
and so on- you look for the table that best describes that. x represents the minutes, and y represent the amount of water left in the sink.
Answer:
B
Step-by-step explanation:
After the first minute it should be at 21, because it would be reduced by 3. Second, the same. ETC
Which is a quadratic function?
Answer:
it has two zeroes
it is of the form ax^2+bx+ c
thats all
Step-by-step explanation:
A quadratic function is one of the form f(x) = ax2 + bx + c, where a, b, and c are numbers with a not equal to zero. The graph of a quadratic function is a curve called a parabola. ... A parabola intersects its axis of symmetry at a point called the vertex of the parabola.
PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
81/x - 3 = 6 2x - 3 = 15Answer:
it's only the last two
Step-by-step explanation:
3x + 2 = 25
3x + 2 - 2 = 3x
25 - 2 = 23
3x = 23
3x / 3 = x
23 / 3 = 7 2/3
x = 7 2/3 not this one
x/3 + 7 = 8
x/3 + 7 - 7 = x/3
8 - 7 = 1
x/3 = 1
x/3 * 3 = x
1 * 3 = 3
x = 3 not this one
4 + 5x = 18
4 + 5x - 4 = 5x
18 - 4 = 14
5x = 14
5x / 5 = x
14 / 5 = 2 4/5 not this one
24 - 2x = 13
24 - 2x - 24 = -2x
13 - 24 = -11
-2x = -11
-2x / -2 = x
-11 / -2 = 5 1/2 not this one
81/x - 3 = 6
81x - 3 + 3 = 81/x
6 + 3 = 9
81/x = 9
81/x * x = 81
9 * x = 9x
81 = 9x
81 / 9 = 9
9x / 9 = x
9 = x this one
2x - 3 = 15
2x - 3 + 3 = 2x
15 + 3 = 18
2x = 18
2x / 2 = x
18 / 2 = 9
x = 9 this one
How many square feet of outdoor carpet will we need for this hole?
Answer:
42 sq ft
Step-by-step explanation:
First, I will do the small triangle on the right.
2 x 3 = 6
6/2 = 3 sq ft
Next the large rectangle.
11 x 3 = 33 sq ft
Next the large triangle on the left.
3 x (11-7)
3 x 4 = 12
12/2 = 6 sq ft
Add them all together.
6 + 33 + 3 = 42
sorry if im wrong <3
To find the sales tax on an item, divide the price of the item by 20.
a. Write an algebraic expression to find the sales tax on an item that costs d dollars.
b. Use your expression to find the sales tax on a television that costs $800.
Answer:
1) d/20,
2) 40
Step-by-step explanation:
the first question just wants you to divide d/20. If a television costs $800, divide it by 20, and get 40
Someone please help me
Answer:
6
Step-by-step explanation:
The purple shape is dilated by a scale factor of 6.
Hope it helps and is correct!!!
Use the polygon below to find the value of x.
Simplify the expression
6 − 2 x + 5 + 4 x
Answer: 2x+11
Step-by-step explanation: hope this helps!
Answer:
2 x + 11
Step-by-step explanation:
6 − 2 x + 5 + 4 x
= 6 + − 2 x + 5 + 4 x
Combine Like Terms:
= 6 + − 2 x + 5 + 4 x
= ( − 2 x + 4 x ) + ( 6 + 5 )
= 2 x + 11
Which point represents 2 3/4 on the number line?
Answer:
e
Step-by-step explanation:
What is the inverse (opposite) of subtraction?
Answer: Addition I think
Kyree paid $10 for a pizza he now has $46.how much money did he have before buying the pizza ??
46 + 10 = 56
He had $56Answer:
56 Dollars
Step-by-step explanation:
iIf you add the two 10 plus 46 you will get 56 Subtract 10 you will get 46. It might not make sense a little but this is always how id my math.
Emily has a box shaped like a rectangular prism that is full of sugar cubes. • Each sugar cube has a volume of 1 cubic centimeter. • The top layer has a width of 6 cm and a length of 11 cm. • There are 3 layers of sugar cubes.How many sugar cubes are in the box?
Answer:
Step-by-step explanation:
Given STU and DEF , what is m∠E
Answer:
105
Step-by-step explanation:
by sss congruency we conclude that they are similar.
29+46=75
180-75=105
Six friends each drank 2/3 cup of juice (If a bottle of juice contains 3 cups, how many bottles of juice were needed?)
Answer:
2
Step-by-step explanation:
3 cups = 1 bottle
only 6 ppl so 3 cups + 3 cups = 6
Answer:
1 1/3. If you need to round up for how much they had, 2.
Step-by-step explanation:
12/3=4 cups. thats 1 bottle plus 1 cup
hope it helped!