[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$8500\\ r=rate\to 14\%\to \frac{14}{100}\dotfill &0.14\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{each year, thus once} \end{array}\dotfill &1\\ t=years\dotfill &1 \end{cases}[/tex]
[tex]A=8500\left(1+\frac{0.14}{1}\right)^{1\cdot 1}\implies A=8500(1.14)\implies \boxed{A=9690} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~~~~~~ \textit{Compound Interest Earned Amount}[/tex]
[tex]A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$8500\\ r=rate\to 14\%\to \frac{14}{100}\dotfill &0.14\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{each year, thus once} \end{array}\dotfill &1\\ t=years\dotfill &2 \end{cases} \\\\\\ A=8500\left(1+\frac{0.14}{1}\right)^{1\cdot 2}\implies A=8500(1.14)^2\implies \boxed{A=11046.6}[/tex]
An apartment has two closets. Closet #1 is 4 feet long and 5 feet deep; Closet #2 is 6 feet long and 3 feet deep. Both closets are 8 feet tall. Which closet is larger?
Answer:
Closet #1.
Step-by-step explanation:
Closet #1 is 4x5x8, right? so, 4x5=20, and 20x8=160 feet. Closet #2 is 6x3x8, and 6x3 is 18. That's already less than 20 even before we multiply by 8. So, the answer to your question is Closet #1.
Answer:
Answer: The first closet is larger.
Step-by-step explanation:
Closet #1
V = l × w × h
V = 4 ft. × 5 ft. × 8 ft.
V = 160 cu. ft.
Closet #2
V = l × w × h
V = 6 ft. × 3 ft. × 8 ft.
V = 144 cu. ft.
Compare the size of the closets
160 cu. ft. > 144 cu. ft.
Answer: The first closet is larger.
Mr, Obrien needs to buy 8 television for the school. Each television costs $795. Mr. O'Brien has 120 fifty-dollar bills that he can use to pay for the televisions.
Part A.
How much will the 8 televisions cost?
Part B.
Does Mr. Obrien have enough money to buy all televisions he needs? If not, how many can he buy?
Answer:
A. $6360, B. He doesn't have enough money.
Step-by-step explanation:
Answer:
This answer is for only part A
1tv=$795
8 x 795 = 6,360
suppose the probability you will get an A in this class is .25 and the probability you will get a B is .50. What is the probability your grade will be above a C?
Answer:
75% chance
Step-by-step explanation:
Probability always adds to 1.00
Letter grades are always in the form A, B, C, D...
The grades above a C are A, which is a 25% chance and B, which has a 50% chance. Adding these up we get a 75% chance.
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The probability of getting a grade above a C is 0.75, or 75%.
We have,
To calculate the probability of getting a grade above a C, you need to add the probabilities of getting an A or a B.
Given:
Probability of getting an A (P(A)) = 0.25
Probability of getting a B (P(B)) = 0.50
A grade above a C includes grades of A and B.
Therefore, the probability of getting a grade above a C (P(above C)) is:
P(above C) = P(A) + P(B)
P(above C) = 0.25 + 0.50
P(above C) = 0.75
Thus,
The probability of getting a grade above a C is 0.75, or 75%.
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You need 2.5 pounds of potatoes. If each potato weighs 5 ounces, how many potatoes will you need?
Answer:
40 potatoes.
Step-by-step explanation:
16 ounces make a pound, so you multiply that by 2.5 and you get 40.
A reference book with 250 pages has 1 page without pictures.
What percent of the pages do not have pictures?
O 0.1%
O 0.4%
O 0.5%
0 1.1%
Answer:
0.4 %
Step-by-step explanation:
Given:
total number of pages = 250number of pages without pictures = 1Percent of pages that do not have pictures = (number of pages without pictures ÷ total number of pages) × 100%
= 1/250 × 100%
= 0.004 × 100%
= 0.4 %
Answer:
0.4%
explanation:
without pages: 1total page: 250solve:
[tex]\sf \dfrac{1}{250} * 100[/tex]
0.4%
what is1/3 as a whole number
Answer:
0
Step-by-step explanation:
there is no way to convert it to a whole number so it would be 0
How many square feet of carpet are needed to cover the floor of a rectangular room 18 ft. by 12 ft.?
Answer: Area of the rectangular room = length x Breadth
Length= 18 and Breadth = 12
Therefore the Area required to cover the floor = 18 * 12 = 216 ft2
The area of the rectangular room is given by the equation A = 216 feet²
What is the Area of a Rectangle?The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle
Area of Rectangle = Length x Width
Given data ,
Let the area of the rectangle be represented as A
Now , the equation will be
The length of the rectangular room = 18 feet
The width of the rectangular room = 12 feet
Area of Rectangle = Length x Width
Substituting the values in the equation , we get
Area of the rectangular room = 18 feet x 12 feet
On simplifying the equation , we get
Area of the rectangular room A = 216 feet²
Therefore , the value of A is 216 feet²
Hence , the area of the rectangular room is 216 feet²
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The partial blueprint for an office building shows one outer wall and a perpendicular inner wall. Which of the following could be the equation of the inner wall, if the outer wall is represented by the equation y = 2/5x − 1?
Please help I am struggling really badly
Answer:
The equation of the perpendicular line:
2x + 5y = ╼ 15
Which of the following is the best first step to convert the following equation to slope
intercept form?
2-4y =-12
Answer: y=7/2 in decimal form 3.500
Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
2-4*y-(-12)=0
Pull out like factors :
14 - 4y = -2 • (2y - 7)
Solve : 2y-7 = 0
Add 7 to both sides of the equation :
2y = 7
Divide both sides of the equation by 2:
y = 7/2 = 3.500
I really need help please, any Expert willing to help me out? I don’t understand on #2, for a,b, and c.
Step-by-step explanation:
a) Tangent equals sine divided by cosine. Therefore:
tan(-t) = sin(-t) / cos(-t)
b) Using the fact that sin(-t) = -sin(t) and cos(-t) = cos(t):
tan(-t) = -sin(t) / cos(t)
tan(-t) = -tan(t)
c) A function is symmetric about the origin if f(-x) = -f(x) (in other words, if it's an odd function). Therefore, y = tan(t) is symmetric about the origin.
How much cash would you need to invest today if you knew you had to pay $1,000 each month for the next 5 years. Assume the annual interest rate is 12%. Round your answer to the nearest dollar.
Answer:
5600 $
Step-by-step explanation:
1000 multiply by 5 = 5000 multiply by 12 percent
600 add by 5000
5600
Q: give answer in decimal to the nearest tenth of a cm
Answer:
the nearest tenth of the cm is 6.9 cm
-2b+2(b-10)=2(10+5b)
Answer:
b= -4
Step-by-step explanation:
On both sides of the equation has distributive property. We need to solve that first. Let's start with the left side of the equation.
*Positive multiplied by a negative equals a negative
-2b+2(b-10)= 2(10+5b)
-2b+2b-20= 2(10+5b)
-20= 2(10+5b)
Now let's solve the right side of the equation
-20= 20+10b
-20 -20
-40 = 10b
-40/10 = 10b/10
b= -4
Hope this helps!
Xavier drove his car 70 miles with 7 gallons of fuel. How many more miles can he drive if he added 1 gallon of fuel?
i think 10 more miles.
70/7=10
which means he gets 10 more miles for every gallon of fuel
Gladis bulding a stage calcuate stea
Answer:
Um... your question is imcomplete
Step-by-step explanation:
Find the measure of one interior angle of a regular 23-gon.
A. 164.3
B. 160
C. 165.6
D. 161.1
A square has a perimeter of 12x + 40 units. Which expression represents
the side length of the square in units? *
X + 4
O x + 40
O 3x + 10
3x + 43
Answer:
3x+10
Step-by-step explanation:
Since the perimeter of a square is 4 times the side length, to find the side length given the perimeter, just divide by 4:
(12x+40)/4 = 3x+10
Therefore, the answer is 3x+10
can someone answer this question now
Answer:
1. C 20, 23
2. A 40, 36
3. 00:25, 00:20
4. 0:54, 1:00
5. 0:31, 0:30
find a equation for the line below
Step-by-step explanation:
use the formula of the equation of line
write this ratio as a fraction in simplest form without any units
21 days to 5 weeks
Answer:
21/5
Step-by-step explanation:
21/5
Or
21/25
........
may anyone please help me with my math , Thank you very much. the choices are just S or N :)
Answer:
1. N, 2. S, 3. S, 4. S, 5. N*
Step-by-step explanation:
By "similar," I'm assuming you mean the same thing as "like" terms. Those are exactly the same (same variables and same exponents) but could have different coefficients (the number in front).
1. N variables are not the same
2. S variables are the same, exponents are the same
3. S same variables; same exponents (x^3 y^2 is the same as y^2 x^3)
4. S
5. N first term has z^2 in it; the second does not
*P.S. I'm having some trouble distinguishing your "two" from "zee."
If the 2nd expression is
[tex]\frac{1z zyx}{2}[/tex] then the terms are similar.
Translate the triangle.
Then enter the new coordinates.
answer:
A' (-3,3) B' (-2,-1) C' (-6, -2)
what is 600 divided by 7
Answer: It is exactly 85.7142857143
But if you would like it rounded: 85.7
I would go with the second answer.
\
The solution of the expression is,
⇒ 85.72
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
The expression is,
⇒ 600 divided by 7
Now, We can divide the numbers as;
⇒ 600 divided by 7
⇒ 600 ÷ 7
⇒ 85.72
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Music lessons cost $20 per week. How much do 6 weeks of lessons cost?
Answer:
$120
Step-by-step explanation:
20*6=120
Answer:
$120
Step-by-step explanation:
If lessons cost $20 per week, multiply the cost ($20) by the amount of weeks (6);
20*6= 120
Find the 7th term in the sequence -1,-5,-25
Answer:
-125
Step-by-step explanation:
-1 × 5 = -5
-5 × 5 = -25
-25 × 5 = -125
A farmer wants to seed and fence a section of land. Fencing costs $27 per yard. Grass seed costs $2 per square foot. How much does it cost to fence and seed the pasture?
A land for farming has a square-shaped piece of land and an isosceles triangular shaped piece of land that share a base. The square piece of land has a side length of 450 feet. The triangle has legs of 255 feet and height of 120 feet.
Answer:
$500625
Step-by-step explanation:
$27 per yard. Grass seed costs $2 per square foot. How much does it cost to fence and seed the pasture? A land for farming has a square-shaped piece of land and an isosceles triangular shaped piece of land that share a base. The square piece of land has a side length of 450 feet. The triangle has legs of 255 feet and height of 120 feet. area shape square = 450 *450 Square Area = 202500 SQft perimeter = 450* 4 =1800 Ft TRIANGLE = Hypotenuse is given by formula H=B√2 but height is already given = 120 and 255 area = Height * Base = 120 * 255 =Triangle Area = 30600 feet squared perimeter = 255 * 3 = 765 Ft fence perimeter is 765-255 = 510 feet total area = 202500+ 30600= 233100 square foot = 233100* $2 = (*2) = $466200 total fence = 765+510 = 1275 feet = 1275(*$27) = $34425 Total cost = 466200+34425 = $500625
PLEASE SHOW ALL WORK
Maria ran 100 yards in 13.8 seconds. Mike ran 1 second slower than Maria. How long did it take Mike to run 100 yards?
Group of answer choices
14.8 seconds
15.8 seconds
12.8 seconds
Answer:
14.8
Step-by-step explanation:
Well, it says that Mike ran 1 second slower. Which means that it took more time for Mike to finish. So, you add 1 second to 13.8 seconds and the answer is 14.8.
Last week, Thomas jogged a total of 35.209 miles on his treadmill. Two weeks ago, he jogged 38.074 miles.
How many fewer miles did Thomas jog last week than the week before?
Answer:
2.865
Step-by-step explanation:
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plz help me
Using the order of operations, what is the last calculation that should be done to evaluate 4(8 − 6)52 − 6 ÷ (−3)?
4(8 − 6)52 − 6 ÷ (−3)
4(2)52 − 6 ÷ (−3)
4(2)(25) − 6 ÷ (−3)
200 − 6 ÷ (−3)
200 − (−2)
multiply 200 and -2
add 200 and -2
add 200 and 2
divide 200 and -2
Answer: 3rd one
Step-by-step explanation:
Answer:
C. Add 200 and 2
Step-by-step explanation:
Find the value of -3p²+4p+7 if p= -2
Answer:
-13
Step-by-step explanation:
-3(-2)^2 + 4(-2) + 7
-3(4) - 8 + 7
-12 - 8 + 7
-13
Hey there!
Plug in the value of p and solve:
-3p²+4p+7
-3(-2)²+4(-2)+7
-3(4)-8+7
-12-8+7
-12-1
-13
Hence, the answer is -13.
Hope everything is clear.
Let me know if you have any questions!
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