whats the rest of the question?
Phoebe invested $5800 and after one year the investment was worth $6100. How much interest did she receive?
Answer:
Amount of interest received by Phoebe = $300
Step-by-step explanation:
Given:
Amount Phoebe invested = $5,800
Amount Phoebe received after one year = $6,100
Find:
Amount of interest received by Phoebe
Computation:
Amount of interest received by Phoebe = Amount Phoebe received after one year - Amount Phoebe invested
Amount of interest received by Phoebe = 6,100 - 5,800
Amount of interest received by Phoebe = $300
In ΔABC, the measure of ∠C=90°, BA = 41, CB = 40, and AC = 9. What ratio represents the cosine of ∠B?
Answer:
40/41
Step-by-step explanation:
From the given diagram;
BA is the hypotenuse = 41
AC is the opposite = 9
CB is the adjacent = 40
Cos<B = adjaccent/hyp
Cos<B = CB/BA
Cos<B = 40/41
Hence the required ratio is 40/41
Explain how to calculate the surface area of a composite figure in your own words.
Answer:
tik
Step-by-step explanation:
Answer:
Sample response: First separate the composite into component figures. Then find the surface area of each figure. A two-dimensional net can be used to find the surface area. Add the surface areas of the components. Then, subtract or exclude the areas of the figures that are shared.
lily has a stamp collection .she has 54 more U.S stamps than foreign stamps . she has 652 stamps in all.
how many of each type of stamp does lily have? enter the answers in the box.
lily has ____ U.S . stamps and ____ foreign stamps.
Answer:
foreign stamps = 299
US stamps = 353
Step-by-step explanation:
Let number of foreign stamps be x.
Given she has 54 more U.S stamps than foreign , US stamps = x +54
Total stamps = US + Foreign
652 = x + 54 + x
652 - 54 = 2x
598 = 2x
x = 299
The marginal cost function for manufacturing perfume is given by c(x) = 7x + 28, where x is the product quantity. Find the change in the cost of perfume when the number of units sold changes from 2 to 10.
A.
$56
B.
$57
C.
$62
D.
$67
Answer:
A. $56
Step-by-step explanation:
the change of cost =
[7(10) + 28] - [7(2) + 28] = 98-42=56
Help please thank you I have 1 more question-after this sorry for all the questions
Answer:
A - 6 units from the y axis. B - 5 units form the x axis. C - 8 units from T to V.
Step-by-step explanation:
So lets go over each question.
A asks for how many units point W is from the y axis. The y axis is the vertical line that goes up and down in the middle of the graph. This line is at x=0.
So we can think of the units between W and the y axis as the distance between W's x coordinates and 0.
In this case, we can see W's x coordinate is at 6.
So this means that W is 6 units from the y axis.
Next we have the distance between the x axis and point U.
The x axis is the line that goes left to right, and is at y=0.
We need to look at the y coordinate of U to find the difference between y=0 and U.
We can see that U is at y=5 on the graph.
So U is 5 units from the x axis.
The last question is the distance between point V and T.
We can see that the x coordinate for both points is x=2.
However, their y coordinates are different.
To find the difference, subtract the y coordinate of one point from the other.
In this case, the y coordinate of V is 5. The y coordinate of T is -3.
So lets see:
v-t=difference of y.
Plug in the values:
5--3
And since the negative sign and the minus sign cancel out:
5+3
=
8
So the difference in y is 8!
Hope this helps!
Find the next 4 terms using inductive reasoning. 2, -6, 18, -54, 162
Answer:
-486, 1458, -4374, 13,122
Step-by-step explanation:
each number is multiplied by -3
What is the greatest common factor that can be factored out of the polynomial 64x5 – 16x3 + 80x
Answer:
GCF = 16
Step-by-step explanation:
All 3 coefficients are divisible by 16, and 16 is the greatest factor that can divisible.
Answer:
GCF = 16
Step-by-step explanation:
64/16 = 4
16/16 = 1
80/16 = 5
All of the terms in the polynomial are able to be divided by 16 the GCF.
Ali earns $80 in 10 hours. How long would it take him to earn $200?
Answer:
25 hours
Step-by-step explanation:
first you ask yourself that :
if it takes just 10 hrs to make $80 , would it take more or less hours to make $200.
The answer is it will take more hours to make $200,
Based on this idea established: we say if it's giving more then less would divide.
so therefore:
we have
[tex] \frac{200}{80} \times 10 [/tex]
finally we have 25 hours.
Thanks
The largest jaw breaker in a store is spherical with a radius of 2 in, and sells for $4.00. A
store wants to make a 6 in. radius jaw breaker. How much should they charge for this
foot long jaw breaker?
Answer:
$36
Step-by-step explanation:
1. Determine the surface area of the largest jaw breaker
Surface area of a sphere = 4πr²
4 x 3.14 x 2² = 50.24in²
2. Determine the surface area of the new jaw breaker
4 x 3.14 x 6² = 452.16 in²
3. Determine the cost per area
4/ 50.24
4. Determine the price for the new jaw breaker
4/ 50.24 x 452.16 = $36
What is the approximate volume of the cone? Use 22 for it. Enter your answer in the box.
3 cm
14 cm
About
cm3
Step-by-step explanation:
[tex] \frac{1}{3} ( \frac{22}{7} ) {(3)}^{2} (14) \\ \frac{1}{3} ( \frac{22}{7})(9)(14) \\ \frac{1}{3}( \frac{22}{7}) (126) \\ 42( \frac{22}{7}) \\ \frac{924}{7} \\ 132{cm}^{3} [/tex]
Will mark the correct answer brainliest
Answer:
How long the ball was in the air
Step-by-step explanation:
3.5 seconds is the amount of time that the ball's height starts from 0 meters and ends to 0 meters.
Answer:
How much long was the ball was in the air
Step-by-step explanation:
mark brainliest
A train travels 164 miles in 4 hours.
How far does it travel per hour?
Rate
Unit Rate
Answer: 23 12
Step-by-step explanation:
write an inequality to express the relationship between -8 and -13
Find the side length x. Round answer to the nearest hundredth.
i need help ill give brainliest
Answer:
486
Step-by-step explanation:
multiply the length width and height for the surface area
pls mark me brainliest
Help, please!! I don’t have much time
Answer:
I might be wrong, but if I did this right it would be D.
Step-by-step explanation:
I'm sincerely sorry if I got this wrong.
Answer:
B. 3.72 x [tex]10^{7}[/tex]
Step-by-step explanation:
The distance between the sun and Mercury is approximately 36,000,000 miles.
Move the decimal point 7 positions to the left so that there is only one digit to the left of it.
Multiply that number by 10 raised to the power of 7
7 is the number of positions that the decimal point was moved.
I do not know this subject too well but hopefully this helps.
Part A The measure of ∠AFC is 120°, and the measure of ∠BFC is 95°. Which equation can you use to find the measure of ∠AFB? 120° + 95° = x 120° – 95° = x 120° + x = 95° x – 120° = 95°
Answer:
x = 120-95
Step-by-step explanation:
The correct equation for the expression is:
∠AFC = ∠AFB+ ∠BFC
Given that
∠AFC = 120°
∠BFC = 95°
Substitute
120= ∠AFB+95
∠AFB = 120-95
If ∠AFB = x
The required equation will be:
x = 120-95
Serena, Alyssa and Katie have just finished lunch at the Rainforest Cafe. Their bill came to $38.96. There is an 8% sales tax. The girls have decided to leave a tip of 15% on the total amount of the bill. How much money did the entire bill come to including the tip?
Answer:
About $48.39
Step-by-step explanation:
Sales tax only applies to the bill, not the tip.
Calculate the sales tax:
38.96 × 8%
38.96 × 0.08
3.1168
Round to the nearest cent:
3.12
Add the sales tax to the bill:
38.96 + 3.12
42.08
Calculate the tip based "on the total amount of the bill:"
42.08 × 15%
42.08 × 0.15
6.312
Round to the nearest cent:
6.31
Add the tip to the rest of the bill:
42.08 + 6.31
48.39
Brian and his friend Tom had a lemonade stand. They spent $40 on supplies. They sold $160 of lemonade in 5 hours. If the boys split the money left over evenly, how much money did Brian make each hour?
Answer:
40
Step-by-step explanation:
160-40=80/2=40
Answer:
$12/ hour
Step-by-step explanation:
revenue: 160
profit: 160 - 40 = 120
Brian's profit: 120/2 = 60
Hourly profit: 60/5 = 12
PLEASE MARK BRAINLIEST THANK YOU
Arrange the expressions in increasing order of their values.
Answer:
The 4th one is the least so you would put that as the first one, then the 2nd one, then the 1st one, then the 3rd one.
Step-by-step explanation:
The fourth one is first because 10 to the power of 0 is 0 times 10 to the power of 1 is still 0 minus 1 to the power of 10 is 1 so 0 minus 1 is -1. The second one is second because 10 to the power of 0 times 10 to the power of 1 is 0, times 1 to the power of 10 is still 0. The first one is third in line because 10 to the power of 0 plus 10 to the power of 1 is 10 times 1 to the power of 10 is 10. The third one is last because its the greatist, 10 to the power of 0 plus 10 to the power of 1 is 10 plus 1 to the power of 10 is 11.
Look at image please
HELP! I'll give brainliest
Answer: A!
Step-by-step explanation:
A car is 160 inches long. A truck is 75% longer than the car.
How long is the truck?
help me please i’m stuck
Answer:
a)
x²+2x
b)
2x²-5x
c)
6x²+8x
d)
6x²-12xy
hopefully i understand it correctly because my engilish is not the best
The time spent studying in hours on a daily basis of nine different students was used to create the box plot shown above. Which of the sets of times below matches the given box plot?
Answer:
B.) 0, 0.5, 0.5, 0.5, 0.5, 0.5, 1, 1.5, 2.5
Step-by-step explanation:
From the box plot, we can obtain the 5 - Numbe summary and compare with the values in the options given :
Kindly note that each tick mark on the box plot is seperated by a unit of 0.25
Minimum = 0 (starting point of left whisker)
Lower quartile = 0.25 (start point of box)
Median = 0.5 (point in between the box)
Upper quartile = 1.25 (end point of the box)
Maximum = 2.5 (end point of right whisker)
In ascending order we have ;
0, 0.25, 0.5, 1.25, 2.5
The data which best matches the plot is 0, 0.5, 0.5, 0.5, 0.5, 0.5, 1, 1.5, 2.5
If 2^2008 – 2^2007 - 2^2006 + 2^2005 = k * 2^2005 then the value of k is equal to
Step-by-step explanation:
Maths
Bookmark
if 2
2008
−2
2007
−2
2006
+2
2005
=k ⋅2
2005
then the value of k is equal to
Answer
Correct option is
B
3
2
2008
−2
2007
−2
2006
+2
2005
=k⋅2
2005
⇒[2
2008
−2
2006
]−[2
2007
−2
2005
]=k⋅2
2005
⇒2
2006
(2
2
−1)−2
2005
(2
2
−1)=k⋅2
2005
⇒3(2
2006
−2
2005
)=k⋅2
2005
⇒3[2
2005
(2−1)]=k⋅2
2005
⇒3(2
2005
)=k⋅2
2005
On comparing, we get
k=3
Hence, Option B is correct.
Answer:
k = 3
Step-by-step explanation:
[tex]2^{2008}-2^{2007}-2^{2006}+2^{2005}=k \times 2^{2005}[/tex]
[tex]=> (2^{2005} \times 2^3) - (2^{2005} \times 2^2) - (2^{2005} \times 2^1) + 2^{2005} = k \times 2^{2005}[/tex]
Take [tex]2^{2005}[/tex] common from all the terms in L.H.S.[tex]=> 2^{2005}(2^3 - 2^2 - 2^1 + 1) = k \times 2^{2005}[/tex]
Divide both the sides by [tex]2^{2005}[/tex].[tex]=> \frac{2^{2005}(2^3 - 2^2 - 2^1 + 1)}{2^{2005}} = \frac{k \times 2^{2005}}{2^{2005}}[/tex]
[tex]=> 2^3 - 2^2 - 2^1 + 1 = k[/tex]
Expand the terms in L.H.S.[tex]=> 8 - 4 - 2 + 1 = k[/tex]
[tex]=> k = 3[/tex]
PLEASE HELP!! I WILL MARK BRAINLIEST
What is the equation of this trend line enter your answers by fulling in the boxes K= J+
Answer:
K = -2J + 24
Step-by-step explanation:
Find two point of the line
(12,0) ; (10,4)
Use this equation:
(y-y1)/(y2-y1) = (x-x1)/(x2-x1)
(y-0)/(4-0) = (x-12)/(10-12)
y/4 = (x-12)/(-2)
y/4 = (-x+12)/2
y = -2x + 24
what is 4x+3(2x-4)=x
Answer:
x = 4/3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
4x + 3(2x - 4) = x
Step 2: Solve for x
[Distributive Property] Distribute 3: 4x + 6x - 12 = x[Addition] Combine like terms: 10x - 12 = x[Subtraction Property of Equality] Subtract x on both sides: 9x - 12 = 0[Addition Property of Equality] Add 12 on both sides: 9x = 12[Division Property of Equality] Divide 9 on both sides: x = 4/3Answer:
x = 1.33
Step-by-step explanation:
4x + 3(2x-4) = x
-4x -4x
3(2x-4) = -3x
Distribute 3 to (2x-4)
6x - 12 = -3x
-6x -6x
-12 = -9x
/-9 /-9
1.33 = x
Which expression is equal to
Answer:
4^5/ 4^-9
Step-by-step explanation:
the third one