Let ,Cynthia invested $x
Rate = 5%per year
time = 3 year
Amount
A= P(1+r/100)^t
8000=x(1+5/100)^3
8000=x(21/20)^3
x= (8000x8000)/9261
x=6910.7$
Therefore she can invest =$6910.7 =5322.14 pound
Which inequality represents all values of x for which the product below is
defined?
please help very confused
Answer:
C. x ≥ 5
Step-by-step explanation:
You must meet both conditions:
(x -5) ≥ 0 and (x +2) ≥ 0
For the first condition, ...
x ≥ 5 . . . . add 5 to both sides
For the second condition ...
x ≥ -2 . . . . subtract 2 from both sides.
Since both conditions must be met, we must have ...
x ≥ 5
i hope this helps :)
Best apps for math and science and english anyone of them you have plzzzz.
Answer:
Try khan academy! It’s free and is really good. Has subjects from k-g12!
Step-by-step explanation:
Answer:
slader is great for science and math and for English paper hacker is pretty good
Which of the following functions maps 3 to -5?
Of(x) = x + 8
O f(x) = x-5
O f(x) = 4 – x2
O f(x) = -x + 2
Answer:I think it’s B
Step-by-step explanation:
If I get this wrong i’m sorry
Expand the linear expression 4(10x - 4).
40x - 16
40x + 16
40x - 4
10x - 16
Answer:
the correct answer is 40x-16
Step-by-step explanation:
here,
=4(10x-4)
=40x-16
It’s time to lock down the design details for the redesigned Brick and Egyptian candles. Because of manufacturing constraints, the base length for each candle has to be at least 2 cm and can be no more than 10 cm. Make a recommendation for the base dimensions of each candle. Explain how you determined your base dimensions. Your reasoning does not have to be all math related.
Answer:
THE SMALLEST FORMS:
- smallest prism ---> the cube with all sides 2 ==> the volume is 2*2*2 = 8 cm^3
- smallest pyramid number one ---> the pyramid with base sides 2 and the height also 2 ==> the volume is (1/3)*2*2*2 = 8/3 cm^3
- smallest pyramid number two ---> the pyramid with base sides 2 and the lateral sides also 2 ==> the radius of the base is sqrt(2) ==> [pyramid_height]^2 = [lateral_side]^2 - [base_radius]^2 = 2^2 - sqrt(2)^2 = 4 - 2 = 2 ==> pyramid_height = sqrt(2) ==> the volume is (1/3)*2*2*sqrt(2) = 4*sqrt(2)/3 cm^3
- smallest cylinder --> the cylinder of diameter 2 and height also 2 ==> the radius is diameter/2 = 2/2 = 1 ==> the volume is pi*(radius^2)*height = pi*(1^2)*2 = pi*1*2 = 2*pi cm^3
The lesser volume is the volume of the smallest pyramid number two. ==> it's wax cost is approximately 0.0075 * 4 * 1.42 / 3 $ per candle = 0.014 $ per candle ==> the total cost per candle is approximately 0.014 + 1.6 = 1.614 $ per candle.
THE BIGGEST FORMS:
- biggest prism ---> the cube with all sides 10 ==> the volume is 10*10*10 = 1000 cm^3
- biggest pyramid number one ---> the pyramid with base sides 10 and the height also 10 ==> the volume is (1/3)*10*10*10 = 1000/3 cm^3
- biggest pyramid number two ---> the pyramid with base sides 10 and the lateral sides also 10 ==> the radius of the base is 5*sqrt(2) ==> [pyramid_height]^2 = [lateral_side]^2 - [base_radius]^2 = 10^2 - [5*sqrt(2)]^2 = 100 - 50 = 50 ==> pyramid_height = 5*sqrt(2) ==> the volume is (1/3)*10*10*5*sqrt(2) = 500*sqrt(2)/3 cm^3
- biggest cylinder --> the cylinder of diameter 10 and height also 10 ==> the radius is diameter/2 = 10/2 = 5 ==> the volume is pi*(radius^2)*height = pi*(5^2)*10 = pi*25*10 = 250*pi cm^3
The bigger volume is the volume of the biggest prism (the side-10 cube). ==> it's wax cost is 0.0075 * 1000 $ per candle = 7.5 $ per candle ==> the total cost per candle is 7.5 + 1.6 = 9.1 $ per candle
The range of the cost is the interval [1.614 ; 9.1]. Depending on other prices on the market, you greed, and other factors you will put a profit margin: maybe 20% of the cost ; maybe a fixed margin like 5$. So the price per candle will be the cost per candle plus the profit margin per candle.
If I were to choose the base length I would have to say 6 because it is the arithmetic mean between 2 and 10: (2+10)/2 = 12/2 = 6. 2cm is too small, and 10cm is too big.
Also if you start with a rectangle of length 10 and width 2 and you have to find the rectangle with the largest area by being allowed to increase the width and decrease the width with the same quantity you get this:
Area of the new rectangle is (10-x)(2+x) = -x^2 + 8x + 20 = -x^2 + 8x -16 + 36 = -(x^2 - 2*x*4 + 4^2) + 36 = -(x-4)^2 + 36 = 36 - (x-4)^2 which has the maximum value of 36 because out of 36 you subtract a positive value. You get the maximum when (x-4)^2 = 0 ==> x-4=0 ==> x=4
The new length is 10-4=6 and the new width is 2+4=6.
Next I would choose the height of the prism (I like prisms :P) to be [the_golden_ratio]*[base_side] which is approximately 1.618 * 6 = 9.708 which I would round up to 10. ==> The volume would be 6*6*10 = 360 cm^3. ==> the cost would be 0.0075*360 + 1.6 = 2.7 + 1.6 = 4.3 $ per candle. And because my candle is so perfect I'd put the profit margin to be 5.69 $ per candle so I can proudly show it in the store with the price of 4.3 + 5.69 = 9.99 $ :)
PLEASE HELP MEEE!! ASAP! I will mark brainliest
Answer:
The last 1 (D)
Step-by-step explanation:
The lines have to be straight nd have to pass through the origin
Answer:
i have this problem before and i believe it was c and if not b
Step-by-step explanation:
help meeeeeeeeehhhhhh
Answer:
0
Step-by-step explanation:
i used a calculator & it was 0 meters
The graph shows the cost of renting skates. Sadie rents a pair of skates at 10 A.M. How much will she pay if she returns the skates by 1 P.M.?
How much will she pay if she returns them at 1:15 P.M.?
1 PM: ??
1:15 PM: ??
Answer: 1 PM = $8
1:15 PM = $9.0
Step-by-step explanation:
a. Since Sadie rents a pair of skates at 10 A.M and returned the skates by 1 P.M, this means the hours spent was 3 hours. Therefore, based on the graph, for 3 hours rented, he will pay $8
The amount that she will pay if she returns them at 1:15 P.M. will be equal to the value of 3 hours 15 minutes which will be:
= $8 + $1.0
= $9.00
Which of the following inequalities matches the graph? (1 point)
-10
-0
10
1. x>-3
2. x<-3
3. y>-3
4. y<-3
Given:
The graph of an inequality.
To find:
The inequality.
Solution:
From the given graph it is clear that the boundary line is a vertical line parallel to y-axis at the distance of 3 units from the left of y-axis. So, the equation of boundary line is
[tex]x=-3[/tex]
Now, the shaded portion lies on the left of the boundary line. It means the values which are less than 0 are included in the solution set.
The boundary line is a dotted line. So, x=-3 is not included in the solution set.
So, the required inequality is
[tex]x<-3[/tex]
Therefore, the correct option is B.
hi need help with math
some one help
Answer:
Ether C or D. hope this helps
Which graph shows y=1/2⌈x⌉?
What is 106% of $40?
Answer:
I think it's 42.4 hope this helps
Answer:
42.4 hope this helps
Step-by-step explanation:
PLEASE HELP, TWENTY POINTS PLUS BRAINLIEST
Write an explicit function to represent the following sequence.
3,9, 27, 81,...
a trucks height is 3 meters 35 centimeters. how tall is the truck in millimeters
4 days =____ hours
????????????????????????
4 days = 96 hours.......
Determine the number of subsets of {sock, shoe, shirt, hat, glove}
14
14
16
16
32
32
20
jason can travel 24 miles in 1/2 hour. What is his average speed in miles per hour
Answer:
Step-by-step explanation:
If Jason travel 24 miles in 1/2 hour, he will travel 2*24=2*1/2h
48 miles/hour
or
24 miles...............................30 min
? miles in .............................60 min
(60*24)/30=48
Raul opened a savings account with 4300. Each week, x, Raul pays the dog sitter 30 from his savings account. Write a function, f(x), that is equal to the amount of money in the account after Raul pays the dog sitter each week.
Given:
Amount in the savings account = 4300
Each week, Raul pays the dog sitter 30 from his savings account.
To find:
The function, f(x), that is equal to the amount of money in the account after Raul pays the dog sitter each week.
Solution:
Let x be the number of weeks.
Raul pays the dog sitter in 1 week = 30
Raul pays the dog sitter in x week = 30x
Remaining amount = Initial amount - Amount he pays the dog sitter
[tex]f(x)=4300-30x[/tex]
Therefore, the required function is [tex]f(x)=4300-30x[/tex].
Select the correct answer.
What does the abbreviation IPTC stand for in photography?
A
International Photo Transfer Commission
B.
International Press Telecommunications Council
C. Internal Photo Transfer Commission
D.
Internal Protocol Transfer Council
be
E.
International Photography Trade Council
Answer:
International Press Telecommunications Council
What is the equation of the line
Answer:
x=-9
Step-by-step explanation:
Mrs. Robertson is carpeting her rectangular living room.
The room is 10 feet wide and 15 feet long. What is the
area to be carpeted?
Answer:
150 ft
Step-by-step explanation:
The formula for area is, height x width (h x w) or base x height (b x h)
10 feet is the base and 15 is the height, multiply those and you get 150
calculate 1/2 - 1/3× 6/7
Answer:
3/14
Step-by-step explanation:
This is because 1/2-1/3 is 1/6 and then 1/6 times 6/7 is 3/14
Answer:
here u go
Step-by-step explanation:
Can anyone help me with this?
Complete the statement to show an equivalent ratio. ) 18:10 is equivalent to ? : 5.
Answer:
9
Step-by-step explanation:
[tex] \frac{18}{10} = \frac{?}{5} \\ \\? = \frac{18 \times 5}{10} \\ \\? = \frac{90}{10} \\ \\ ? = 9[/tex]
Answer:9
Step-by-step explanation:because if you divide 10 by 2 it’s 5 and if you divide 18/2 it’s 9
For a dinner party, a catering company charges a set fee $150 plus $20 per person. How much will it cost for 35 people to attend the event?
Answer:
$700 for 35 people but if you want to add the fee it will be $850
what is the correct answer?
Answer:
yes, by AAA~
Step-by-step explanation:
to find the missing angles subtract 180 - 125 - 27 = 28
then we have all of the angles and we can see they are congruent
Plis help me plis! I need help with this
Answer:
The light blue/greenish one that says T=PV/K or Greeland
Step-by-step explanation:
We can make the equation more simplier by multiplying both sides by P to remove fractions.
It would become VP=KT
The only answer with VP or PV is B, or the T=PV/K
also, to isolate T, divide the VP=KT by K on both sides to isolate T.
VP/K=T
2x-2y=-10 Standard to Slope Intercept form
Answer:
y=x-5
Step-by-step explanation:
2x-2y=10
1.) subtract 2x from both sides
-2y=-2x+10
2.) Divide by -2 to get y by itself
y=x-5
Answer:
y= x+5
Step-by-step explanation:
y =mx+b is slope intercept form
You want to buy a $25,000 car. The company is offering a 2 % interest rate for 48 months (4 years). What
will your monthly payments be?
O $500.71
O $815.05
O $542.38
$6, 276.06
HELP GIVING AWAY 55 POINTS!!!!
Pete wants to mix 4 quarts of 20% orange juice concentrate with some 60% pineapple juice concentrate to get a 50% punch concentrate for a party. How much of the 60% pineapple juice concentrate should be used? please answer ASAP and explain thought process
Answer:
12 quartsStep-by-step explanation:
Let the amount of pineapple juice be x quarts, the concentration of juice is as following equation:
4*0.2 + x*0.6 = (4 + x)*0.50.8 + 0.6x = 2 + 0.5x0.6x - 0.5x = 2 - 0.80.1x = 1.2x = 12