Brian invests £7500 into his bank account.
He receives 6% per year compound interest.
How many years will it take for Brian to have more than £10000?
Answer:
5 years
Step-by-step explanation:
help me with this one guys......
Answer:
[tex]7^-^1[/tex]
Step-by-step explanation:
So, when multiplying numbers with exponents that have the same base, all you have to do is combine the exponents.
Quadrilateral ABCD has the following
vertices:
A(2, 7)
B(8,1)
C(1, -9)
D(-6, -2)
Is quadrilateral ABCD a parallelogram, and
why?
Answer:
No because the angle of point C is NOT congruent to the angle of point A.
Step-by-step explanation:
A quadrilateral MUST be a parallelogram if it has both pairs of its opposite angles congruent.
A pool with a square bottom is to have a volume of 2000 cubic feet. The owners plan to use a fancy tile to complete the pool. The sides of the pool will cost $80 per square foot and the bottom of the pool will cost $40 per square foot. Find the pool dimensions that will minimize the cost of construction.
Considering the given conditions in the question, the dimensions that will minimize the cost of construction of the pool are:
base length = 10 feet
base width = 10 feet
pool depth = 20 feet
Volume of a material implies the maximum amount of substance that it can contain.
From the given question, it is expected that the pool would have the shape of a cuboid, thus its volume can be determined by:
volume of the pool = length x width x height
= base area x height
Thus, given that the volume of the pool is 2000 cubic feet, then;
2000 = base area x height
i. Let the dimensions of the square base be 10 feet, and its height 20 feet, so that;
volume = 10 x 10 x 20
= 2000 cubic feet
The cost of constructing the pool of the assumed dimensions would be:
Total area of its sides = 4 x 200
= 800 square feet
The cost of tiling the sides of the pool = $80 x 800
= $ 6400.0
Area of the base of the pool = 10 x 10
= 100 square feet
The cost of tiling the base of the pool = $40 x 100
= $4000
Total cost = $6400 + $4000
= $10400
Total cost of constructing the pool with the assumed dimensions is $10400.
ii. Let the dimensions of the square base be 20 feet, and its height 5 feet, so that;
volume = 20 x 20 x 5
= 2000 cubic feet
The cost of constructing the pool of the assumed dimensions would be:
Total area of its sides = 4 x 100
= 400 square feet
The cost of tiling the sides of the pool = $80 x 400
= $ 32000
Area of the base of the pool = 20 x 20
= 400 square feet
The cost of tiling the base of the pool = $40 x 400
= $16000
Total cost = $16000 + $32000
= $48000
Total cost of constructing the pool with the assumed dimensions is $48000.
Therefore, the dimensions that will minimize the cost of construction of the pool are:
base length = 10 feet
base width = 10 feet
pool depth = 20 feet
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A rectangular field will be fenced on all four sides. There will also be a line offenses across the field, parallel to the shorter side. If 900 M of fencing are available, what dimensions of the field will produce the maximum area? What is the maximum area?
Answer:
Pretty sure the dimensions are 125.6 meters by 251.2 meters 31,550.72 square meters.
HELP pleaseeeeeeeeee
Answer:
Or is separate
And is together
STAN LOONA FOR A BETTER LIFE OR ELSE U WILL BE SINGLE FOR THE REST OF UR LIFE
We as we see this question is quite simple
first we find the vocabulary which is in simple text slang and convert it formally to english...
Next we find that this question makes no sense so g'day
How do i find the slope-intercept form for 6x=8y+10
Answer:
y = 3/4x - 5/4
Step-by-step explanation:
6x=8y+10
Well you must first get your equation set up into the form called "Slope intercept."
6x=8y+10
Add 8y on both of your sides because your y is suppose to be alone.
8y + 6x = 10
Subtract 6x on both sides since it is in fact the opposite of addition.
8y = 6x + 10
Now, you will divide by 8 on both sides. When doing this your y will be alone.
y= 6/8x + 10/8
Note: You can leave it like this but you want to probably simplify.
y = 3/4x + 5/2
or
y = 3/4x - 5/4
(Hope this helps can I pls have brainlist (crown)☺️)
1.) The graph of y = -7x - 10 is a ______ that shows the ________ to the equation
2.) find the slope a y-intercept of y=(-7x)-10
Slope = ________
y-intercept = _________
Answer:
Step-by-step explanation:
1.) The graph of y = -7x - 10 is a ______ that shows the ________ to the equation
I'm not sure what kind of response this question is seeking. I can only write:
1.) The graph of y = -7x - 10 is a linear equation that shows the ? slope and y-intercept to the equation
I don't think these are the answer sought, but it's the best I can think of at the moment.
2.) find the slope a y-intercept of y=(-7x)-10
The slope is -7 and the y-intercept is -10.
what number is 5 times greater then 6
Answer:
if you are talking about 5x6 then the answer would be 30 but if not please clarify :)
Step-by-step explanation:
Answer:
30
Step-by-step explanation:
6x5=30 so I believe the answer to your question to be 30
[tex]\sqrt{x}(-5-(-8))x^{2} +(-5-(-7))x^{2}[/tex]
[tex]\sqrt{x} (-5-(-8))x^{2} +(-5-(-7))x^{2} = 3.x^{2} \sqrt{x} +2x^{2} = x^{2} (3\sqrt{x} +1)[/tex]
ok done. Thank to me :>
What is the range of this relation?
(-5,0)
(8,9)
(-10, 2)
(-1, -3)
Answer:
{0,9,2,-3}
Step-by-step explanation:
the range is all the ys.
these are all in the format (x, y)
Hope this helps.
PS-If it's a multiple choice question, the numbers might not be in the same order. just pick the one with those numbers.
Celeste wants to have her hair cut and permed and also go to lunch. She knows she will need $68. The perm costs twice as much as her haircut and she needs $5 for lunch .
Answer:
42 dollars
Step-by-step explanation:
2h+h+5=68
3h+5=68
3h=63 divided by 3
21*2=$42
The weights of 2-pound bags of Best Dog Food are approximately normally distributed with a given mean Mu and standard deviation Sigma. According to the Empirical Rule, what percentage of the bags will have weights within 3 standard deviations of the mean? 47. 5% 68% 95% 99. 7%.
the ratio of men to women at Wal-Mart was 3 to 5. If there were 350 women, How many men were in the store?
Answer:550
Step-by-step explanation:
Answer:
550
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there are 50 students in a class and 30 of these students passed their social studies test. what percentage of these students passed their test.
Answer: 60 %
Step-by-step explanation:
Percentage of students passed the test = (number of students who passed the test / total number of students) x 100
= 30 / 50 x 100 % = 60 %
What is the value of x in the triangle?
[tex]cosec18°= \frac{perpendicular}{base} \\ cosec18°= \frac{25}{x} \\ \\ \ \: since: cosec18°=0.9511 \\ \\ 0.9511 = \frac{25}{x} \\ x = \frac{25}{0.9} = 26[/tex]
helppppppppppp i hv 5 mins
Answer: 342.5 miles
Step-by-step explanation:
Distance = Speed x Time
Speed(mph) Time(hr) Distance(miles)
55 x 3.5 = 192.5
60 x 2.4 = 150
Total Distance (miles) = 342.5 miles
457x64-(163+208x45) + ( 2820÷20)-1802
Answer:
18064
Step-by-step explanation:
these equations are always in this order:
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
To remember this, my teacher told us the phrase; "Please Excuse My Dear Aunt Sally".
Math 8 Question! :)
Four different positive integers have a mean (average) of 100. If the positive difference between the smallest and largest of these integers is as large as possible, determine the average of the other two integers.
Answer:
2.5
Step-by-step explanation:
"Four different positive integers have a mean (average) of 100"
The total of the 4 numbers is then 4* 100 = 400
"the positive difference between the smallest and largest of these integers is as large as possible"
to get the greatest difference the first 3 numbers must be
1, 2 and 3 which totals 6
the 4th number is then 400 - 6 = 394
the four numbers are 1, 2, 3 and 394
The greatest difference is between 1 and 394
"the average of the other two integers"
(2 + 3)/2 = 2.5
The average of the other two integers is 1.5.
What is the average of the two numbers?
An integer is an whole number. An example of an integer is 20.
If the mean of the four integers is 100. It means that the sum of the integers must be 400. If the integers are 0,1,2, 397. The largest number is 397 and the smallest number is 0. The average of the other two integers is (1 + 2 ) / 2 = 1.5
To learn more about mean, please check: https://brainly.com/question/25842202
1 point
10.) Tampa is about 275 miles from Tallahassee. How far about would they
be on a map with a scale of 1 in. = 15 mi?
20 inches
20.25 inches
O
19.24 inches
18.33 inches
Answer:
18.33
Step-by-step explanation:
its easy divide 275 ÷ 15 = [18.33]333333333333 the only number you need is [18.33]333333333333
and boom that simple you get your answer
what is (−
2
1
)
5
Step-by-step explanation:
i don't understand your question
A chartered vacation will cost eva $1,250 plus $45 per day for food. If Eva wants to spend less than $1,700, how many days can she travel?
Answer:
She can travel for 10 days
Step-by-step explanation:
first you do 1,250 divided by 1,250 will equal 0. Then you do the other side 1,700- 1,250 =450. Then you do 450 divided by 45 and you will get 10
Hope this helps you out!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!10
[tex]\huge \bf༆ Answer ༄[/tex]
The slope of the marked line is " Negative "
Lines that make obtuse Angle with positive x - axis have a Negative slope.
[tex]꧁ \: \large \frak{Eternal \: Being } \: ꧂[/tex]
Find the distance between the points
a. 3
b. 4
c. 5
d. 6
Answer:
B. 4
Step-by-step explanation:
If f(x) =x+1\x-1 and f(a) = 5 then f(2a) is equal to?
PLZ HELP!!!!!!!!!!!!!!
Answer:
183in^2
Step-by-step explanation:
Given that the length is 15 in and the width is 26 in we can figure out the area of a full rectangle.
15x26=390in
We now want to figure out the small rectangle on the bottom of the image.
The area of a triangle is A=hb/2
A=6x15/2=45
In the image, you can see that the rectangle is incomplete and missing part of it. It's missing a triangle so in order to complete the rectangle you multiply 45x2.
45x2=90
Finally, we can solve for the remaining triangle.
A=9x26/2=117
Add up the triangles and subtract the sum from the area of the rectangle to get the shaded area.
390-(90+117)=183in^2
Hope this helps :)
An item is regularly priced at $55 it is now priced at a discount of 65% of the regular price
Answer:
$19.25
Step-by-step explanation:
Multiply 55 dollars by .65 to get the amount of money that is being dropped. 65% of 55 dollars is 35.75
Now subtract the original amount (55 dollars) by 35.75 dollars to get 19.25 dollars.
An easier way to do this is just by multiplying 55 dollars by the amount or percentage that is left so you multiply 55 by .35 and you will get the same answer.
Julie has a square-shaped driveway with an area of 256 square feet. What are the dimensions of the driveway?
A. 64ft x 4ft
B . 15ft x 15ft
C. 16ft x 16ft
D. 32ft x 8ft
Answer:
16ft x 16ft
Step-by-step explanation:
Square shaped, so side lengths are all the same size, so 16ft by 16ft. 256 would also need to end in a 5 to be a product of 15 by 15 but would end in six for 16x16 (5*5 and 6*6 will show last digit of the number)
y=6x-4 y=4x+2 substitution pls help plsplslsl
Answer:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form: ( 3 , 14 )
Equation Form: x = 3 , y = 14
Step-by-step explanation: