Answer:
Number of year to get $10,000 as interest = 7.5 year (Approx)
Step-by-step explanation:
Given:
Initial investment = $20,000
Interest on investment = $10,000
Rate of interest = 5.6% = 0.056
Find:
Number of year to get $10,000 as interest:
Computation:
[tex]Interest\ on\ investment = Initial\ investment[(1+r)^n-1]\\\\10,000 = 20,000[(1+0.056)-1]\\\\0.5=(1.056)^n-1\\\\1.5 =(1.056)^n\\\\n=7.44[/tex]
Number of year to get $10,000 as interest = 7.44
Number of year to get $10,000 as interest = 7.5 year (Approx)
A square pyramid has a base with a total area of 144 m2 and the volume of 384m3, what is the slant height of the pyramid
Answer:
8mStep-by-step explanation:
Volume of a square based pyramid is expressed as [tex]V = a^{2} \frac{h}{3}[/tex] where;
a is the base edge
a² is the base area
h is the slant height
Given Volume of the pyramid V = 384m³
Base area a² = 144m²
h =?
On substituting to get the slant height;
[tex]384 = 144*\frac{h}{3}\\ 1152 = 144h\\h = \frac{1152}{144} \\h = 8m[/tex]
The slant height of the pyramid is 8m
What number should both sides of the following equation be multiplied by to solve for x?
x/7.25 = 4
4
7.25
7
29
Answer:
[tex] \frac{x}{7.25} = 4 \\ x = 4 \times 7.25 \\ x = 29[/tex]
what are the solutions to the system of equations graphed below?
Answer:
(-3,-3) and at (0,6)
Step-by-step explanation:
The solution to the system of equations is where the graphs intersect
The graphs intersect at (-3,-3) and at (0,6)
I need help nothing is working for the answer p÷3> 2
Answer:
p > 6
Step-by-step explanation:
Given
[tex]\frac{p}{3}[/tex] > 2 ( in fractional form )
Multiply both sides by 3 to clear the fraction
p > 6
Answer:
honestly idk
Step-by-step explanation:
it may be p (1/3)
hope this is right:000
I need the answer ASAP! Thanks! ❤️
i need your help please asap
Step-by-step explanation:
First we will calculate the total amount spent on each website so
Website A = 49.95 + 4.39 = 54.34
Website B = 47.68 + 6.95 = 54. 63
So website A is cheaper by €0.29
Which tables display linear functions? Check all that apply.
Answer:
A,D, First and Last
Step-by-step explanation:
Answer:
All boxes but the top right box are linear.
Kim works at an ice-cream store. She wants to calculate how much ice-cream one cone can hold. If the cone is 6 inches tall and the circular opening at the top is 2.5 inches across, how much can the cone hold? Round to the nearest tenth at the end.
Answer:
The cone holds 9.8 cubic inches ice cream
Step-by-step explanation:
Height of cone = 6 inches
The circular opening at the top is 2.5 inches across
Diameter of cone = 2.5 inches
Radius of cone = [tex]\frac{2.5}{2}=1.25[/tex]
Volume of cone = [tex]\frac{1}{3} \pi r^2 h[/tex]
Volume of cone = [tex]\frac{1}{3} \times 3.14 \times 1.25^2 \times 6[/tex]
Volume of cone = [tex]9.8125 in^3[/tex]
Hence the cone holds 9.8 cubic inches ice cream.
Write a linear equation from a slope and a point
1. A space figure with two parallel and congruent bases can be any of these except a
A cone
B prism
c cylinder
Dcube
Answer:
C. cylinder
Step-by-step explanation:
i hope this help
What is the mean absolute deviation of this data set? 26, 31, 32, and 39
Answer:
3.5
Step-by-step explanation:
26, 31, 32, and 39
First we need to find the mean
(26+ 31+ 32+ 39) /4
128/4 = 32
The mean absolute deviation is sum of the positive difference between the number and the mean divided by the number of terms
((32-26)+ (32-31)+ (32-32)+ (39-32)) /4
14/4
3.5
HELP ASAP FIRST CORRECT GETS BRAINLIEST
Answer:
Right
Step-by-step explanation:
Answer: the first one is x less than 468 and the second one is and open circle at 468 and the third one is go left
Step-by-step explanation:
it would be a open circle if it wasnt a line under it and it would move the oppisite which is the left
Sal is tiling his entryway. The floor plan is drawn on a unit grid. Each unit length represents 1 foot. Tile costs $1.85 per square foot. How much will Sal pay to tile his entryway? Round your answer to the nearest cent.
Answer:
$80.48
Attached is the image of the entry way
Step-by-step explanation:
Given that each unit length represents 1 foot.
To find the area of the shape shown in the attached image, we need to divide the shape into two parts at about 4 ft from the bottom.
The top shape is a trapezoid of base length 4 ft, top length 7 ftand height 5 ft, while the bottom shape is a parallelogram with one side equal to 4 ft and height 4 ft
Area of a Trapezium = 1/2 × (a+b)h
a = 4ft, b= 7ft, h = 5ft
Substituting the values;
Area of trapezoid = 1/2 × (7 + 4)x 5
Area of trapezoid = 27.5 ft^2
Area of a parallelogram = length × height
Length = 4 ft, height = 4 ft
Substituting the values;
Area of parallelogram = 4 x 4
Area of parallelogram = 16 ft^2
Total area = area of trapezium + parallelogram
Total area = 27.5 + 16 = 43.5 ft^2
Cost per square foot = $ 1.85
Total cost = cost per square foot × area
Total cost = $1.85 per square foot × 43.5ft^2
Total Cost = $80.48
Answer:
Sal will pay $ 80.48 to tile his entryway.
Step-by-step explanation:
Separate the entryway into simpler shapes: a trapezoid and a parallelogram.
Find the area of the simpler figures. Count units to find the dimensions.
Trapezoid
A = 1/ 2
h(b₁ + b₂)
A = 1/ 2
(5)(4 + 7)
A = 1/ 2
(5)(11)
A = 27.5
The area of the trapezoid is 27.5 ft
2 .
Parallelogram
A = bh
A = 4 · 4
A = 16
The area of the parallelogram is 16 ft
2 .
Find the area of the entryway.
A = 27.5 + 16
A = 43.5
The area of the entryway is 43.5 ft
2 .
Calculate how much Sal will pay to tile his entryway.
Area · Cost per foot = Total Cost
43.5 · $1.95 = $84.83
Sal will pay $84.83 to tile his entryway.
Jake received a student loan for $12,000. He plans on paying off the loan in five years. At the end of five years, J. Cole have paid $3600 in interest. What is a simple interest rate on the student loan?
Answer:
The simple interest rate on the student loan is 6%.
Step-by-step explanation:
To solve for the simple interest rate, use the formula for total simple interest:
[tex]I = Prt[/tex]
[tex]I[/tex] = total interest paid
P = principal, or starting value
r = interest rate in decimal form
t = time in years
State known values
P = 12,000
t = 5
[tex]I[/tex] = 3,600
Substitute known values and isolate "r"
[tex]I = Prt[/tex]
3,600 = (12,000) (r) (5)
3,600 = (60,000) r
r = 0.06
Since "r" is given as a decimal, convert this to a percentage by multiplying by 100.
0.06 = 6%
∴ The simple interest rate on the student loan is 6%.
Answer=6%
Step-by-step explanation:
Principal(P)=12000
Time(T)=5 yrs
Interest(I)=3600
We have,
I=PTR/100
3600=(12000*5*R)/100
3600*100=60000*R
R=360000/60000
R=6%
Brainliest and 10 points for answer!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
How do you find the x- and y-intercepts of an equation?
A) To find the x-intercept, substitute 0 for x. To find the y-intercept, substitute 0 for x.
B) To find the x-intercept, substitute 0 for x. To find the y-intercept, substitute 0 for y.
C) To find the x-intercept, substitute 0 for y. To find the y-intercept, substitute 0 for x.
D) To find the x-intercept, substitute 0 for y. To find the y-intercept, substitute 0 for y.
Answer:
To find the x-intercept of a given linear equation, plug in 0 for 'y' and solve for 'x'. To find the y-intercept, plug 0 in for 'x' and solve for 'y'.
Answer:
C
Step-by-step explanation:
A, B, and D don't make sense
Can someone helpppppppppp
Answer:
A
Step-by-step explanation:
The reason it is A is because
It goes in biggest to lowest A B C D
C and B don't follow that so we are left with A and D
In answer D C and B are too close in percentage therefore it cannot be D
Therefore your answer is A
Hope this helped!
un unitățile de măsurat lungimea mai mici decât unitatea principală sunt.......................... ................. Și................. Și se numesc................ Metrului. Decametrul, hectometrul și............. sunt................... metrului.
Answer:
english plz !!!!!!!!!!
Step-by-step explanation:
What is the solution to the equation ^3sqrtX+4+ ^3sqrt2X+8=0?
x = –12
x = –4
x = 4
x = 12
Answer:
Cover 2
Step-by-step explanation:
Answer:
Uhh x is like -4 bruh
Step-by-step explanation:
So b on edge ye
What is the correct answer..
Answer:
64 feet
Step-by-step explanation:
To find the height of the kite we use sin trigonometric ratio.
Let the height of the kite from the ground be x feet.
[tex] \therefore \: \sin 40 \degree = \frac{x}{100} \\ \\ \therefore \: 0.6427876097= \frac{x}{100} \\ \\ \therefore \: 0.6427876097 \times 100= x \\ \\ \therefore \:x = 64.29 \\ \\ \therefore \:x = 64 \: feet[/tex]
Jared makes $133 per hour, but he loses 20% of his pay for a day if his boss catches him on the internet. If Jared works for 8 hours a day for 5 days, and his boss only catches him on the internet once how much money will he make in the five days?
Answer:
$5107.20
Step-by-step explanation:
His pay after he was caught once
133x 8=1064
1064x 20% = 212.8
1064-212.8=851.2
1064x 4= 4256
4256+ 851.2=5107.2
PLS HELP!!!!!! In a survey of 4530 U.S. adults, 87% said that they would like to donate more to charity. What is the margin of error for the survey? Round to the nearest tenth of a percent
Answer:
Margin of Error = 1.0% to the nearest tenth of a percent.
Step-by-step explanation:
Margin of Error is the width of the confidence interval about the mean.
It is given mathematically as,
Margin of Error = (Critical value) × (standard Error)
Critical value is obtained from the z-tables at the popular confidence level of 95% and z-tables is used because the sample size, 4530, is large enough to approximate the population properties.
Critical value = 1.960
Standard error = σₓ = √[p(1-p)/n]
p = 87% = 0.87
n = sample size = 4530
σₓ = √[0.87×0.13)/4530]
= 0.0049966876
Margin of Error = 1.96 × 0.0049966876 = 0.0097935078 = 0.00979 = 0.979% = 1.0% to the nearest tenth of a percent.
Hope this Helps!!!
PLEASE HELP!!
The figure is made up of a rectangle and 2 right triangles.
What is the area of the figure?
O 1259 units2
O 1292 units2
O 1413 units2
O 1566 units2
The rectangle is 28×34 and the two triangles are (1/2) 11 (28) and (1/2) (9)(34)
A = 28(34) + (1/2) 11 (28) + (1/2) (9)(34)
A = 1259
Answer: 1259 sq units
What is the volume of the composite figure? Express the answer in terms of pie.
1443 mm3
1687 mm3
3127 mm3
456 mm3
Answer:
3127
Step-by-step explanation:
YES
The volume of the given composite figure is 312π mm³
Given is a composite figure, having two solids, a cone and a hemisphere,
We need to find the volume of the solid, so for the same, we simply need to add the volumes of the cone and the hemisphere,
= 1/3 π r² h + 2/3 π r³
= 1/3 π r²[h+2r]
= 1/3 π 36[12+14]
= 312 π
Hence, the volume of the given composite figure is 312π mm³
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2 divided by one over 3 the awnser is a fraction
Answer:
1/6
Step-by-step explanation:
2/1÷ 1/3 (First make 2 a fraction, because 2= 2/1 we will use 2/1)
1/2÷ 1/3 (Now we flip the numerator and denominator on a fraction)
1/2 (1/3) (Now we multiply straight across numerator times numerator, denominator times denominator)
1/6 (This is our answer!)
Hope this helped! Stay safe and have a good day or night!
What if the diameter of the inner sphere is 1.8 meters. What is the volume of the inflated space?
Answer:
Volume is 3.05m³
Step-by-step explanation:
This problem bothers on the mensuration of solid shapes, sphere
Step one
The formula for the volume of a sphere is expressed as
V=4/3πr³
Step two
Given data
Diameter d = 1.8m
Radius r = d/2= 1.8/2= 0.9m
Step three
Substituting our given data we have
V= 4/3*3.142*0.9³
V= 4/3*3.142*0.729
V= 9.162/3
V=3.05m³
Members of alachua district choir were asked, when given the choice between romanticism or gothic style singing, which style they preferred to sing for state competition. The data was broken down by gender
The question is incomplete, so here is the complete question.
Members of alachua district choir were asked, when given the choive between romanticismor gothic style singing, which style they preferred to sing for state competition. The data was broken down by gender:
48 males preferred Romanticism
63 males preferred Gothic
59 females preferred Romanticism
62 females preferred Gothic
Part A: Fill in and complete the following contigency table. Circle the largest joint frequency and put a box around the smallest marginal frequency.
Romanticism Gothic Total
Males
Females
Total
Part B: Which style was preferred as the state competition piece and by what percentage?
Part C: Which subject was preferred the most by Males?
Part D: What frequency does 125/232 represent?
Answer and Step-by-step explanation:
Part A:
Romanticism Gothic Total
Males 48 63 111
Females 59 62 121
Total 107 125 232
Part B: The preferred style is Gothic by a percentage of
P = [tex]\frac{125}{232}[/tex]
P = 54%
Part C: According to the table, the style preferred the most by males was Gothic, since 63 males chose it over 48 that chose Romanticism.
Part D: The frequency 125/232 represents the total of people (male AND female) that preferred Gothic over the total of people in both categories.
you can choose more than 1
Answer:
A
Step-by-step explanation:
If you were to multiply the top by 7 then add you would cancel out the x and if you were to multiply the bottom by 6 then when you use the subtraction method you multiply the top by negative and if that were to happen you would do -6x + -6x which would cancel nothing out. But if you just add the two equations nothing would cancel out.
Hope this helped!
Answer:
A
Step-by-step explanation:
If you multiply the top by 7, when you add you can cancel out -7x and 7x. The second one doesn't work because it said subtract at the end. If you subtract then it won't cancel out the y's.
What is the volume of the pyramid h=9.6 l=8.5 w=8.5
Answer:
V = 231.2
Step-by-step explanation:
v = (l * w * h )/3
Answer:
V ≈ 231.2
Step-by-step explanation:
Using the formula: V = 1/3 x L x W x H
Olivia flips a two-sided counter and then spins a spinner with six equal-size sections labeled 1 through 6. One side of the counter is red. The other side is yellow. She performs this experiment 80 times. The relative frequency of tossing red and spinning a number greater than three was 25 . What is the difference between the number of expected outcomes and the number of actual outcomes?
Answer:
The difference between the number of expected outcomes and the number of actual outcomes = 5
Step-by-step explanation:
She tosses a two sided counter and spins a spinner with six equal sized sections numbered 1 to 6.
Probability of the counter landing on either of the two sides is exactly = (1/2)
Probability of the counter landing on the red side = (1/2)
Probability of the spinner landing in a region greater than 3 = Probability of the spinner landing in a region of 4, 5 or 6. = (3/6) = (1/2)
In one toss and spin, the probability of a toss landing on red and the spinner landing on a number greater than 3 = p = (1/2)×(1/2)
p = (1/4)
Expected number of times that a toss will land on a red and a spinner will land on a number greater than 3 in 80 trials
= np = 80 × (1/4) = 20
Number of actual times that the toss lands on a red and a spinner lands on a number greater than 3 in 80 trials = 25
The difference between the number of expected outcomes and the number of actual outcomes = 25 - 20 = 5
Hope this Helps!!!
Find the interquartile range (IQR) of the data in the box plot below.
Asap ASAP Please PLZ
Answer:
3
Step-by-step explanation:
IQR is the difference between the upper and lower medians so the IQR = 7 - 4 = 3
The interquartile range (IQR) of the data in the given box plot is: 3.
What is the Interquartile Range (IQR) of a Data?In a box plot, the interquartile range (IQR) is the difference between the upper quartile and the lower quartile which are represented as each edge of the rectangular box.
Upper quartile = 7Lower quartile = 4Interquartile range (IQR) = 7 - 4
Interquartile range (IQR) = 3
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