Sebastian invested $7,100 in an account paying an interest rate of 8 1 4 \% compounded monthly. Eva invested $7,100 in an account paying an interest rate of 8 1 2 \% compounded continuously After 5 years, how much more money would Eva have in her account than Sebastian, to the nearest dollar?
Answer:
Given:
Sebastian :
Principal(invested)= $7,100
Rate of interest= 8.14% compounded monthly
Eva:
Principal(invested)= $7,100
Rate of interest= 8.12% compounded continuously
Step-by-step explanation:
After 5 years,
In Sebastian case:
Amount= Principal*[tex](1+R/100)^{t}[/tex]
Amount = 7100*[tex](1+8.14/100)^{12*5}[/tex]
Amount= 7100*[tex]1.0814^{60}[/tex]
Amount=7100*109.4415
Amount= $777,034.43
In Eva case,
Amount= Principal*[tex]e^{Rt/100}[/tex]
Amount = 7100*[tex]e^{0.0812*12*5\\}[/tex]
Amount= 7100*130.5818
Amount= $927,130.92
Difference between their money=$927,130.92-777034.43
=$150,096.49
Eva has $150,096 more money than Sebastian.
Answer:
80
Step-by-step explanation:
what is 3p+7q-p-4q symplifide
Answer:
2p+3q
Step-by-step explanation:
3p+7q-p-4q
2p+3q
hope it is helpful
can someone one please explain this to me and what to do it say combing like trems
Answer:
A. 5x+y+3
Step-by-step explanation:
to combine like terms you get the numbers that have the same variable. you will combine 2x and 3x and to combine them you add them 2x+3x and it equals 5x. you will do the same for the numbers left... -2y and 3y = 1y or y and 3 is left so we dont do nothing and after you do that you will put it in an equation variables go first and you order them in alphabetical order so 5x will go first then y and lastly the 3
I'll give brainliest to the correct answer!!!!
A.) 45.3 m
B.) 17 m
C.) 27.7 m
D.) 34 m
Answer:
C
Step-by-step explanation:
*internal screaming beginss
Answer:
The answer is 5 1/4 liters in 1 hour.
Step-by-step explanation:
If Ben drinks 3 1/2 liters of tea in only 2/3 of a hour, this is how you calculate it. First of all, Ben is not a human being, like who can drink 3 and a half liters of tea in under a hour. To calculate how much Ben drinks in a hour, first multiply both fractions by 3, you will get 10 1/2 liters in 2 hours. Then, divide both fractions by 2, in which you will get 5 1/4 liters in 1 hour. That's your answer!
Answer:
21/4
Step-by-step explanation:
Divide the two numbers
3 1/2 =7/2 as a improper fraction
7/2 divided by 2/3
7/2 times 3/2
21/4 or 5 1/4
Please show your work someone !!!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!
Answer:
correct answer is (3)
Methord in the pic
Paul opens a savings account with $350. He saves $150 per month. Assume that he does not withdraw money or make any additional deposits
a. write a linear model that represents the total amount of money Paul deposits in his account after m months
b after how many months will Paul have more than 2,000?
Answer:
below explained
Step-by-step explanation:
A man is twice as old as his son. Twelve years ago, the man
was 3 times as old as his son. How old are the father and son
today?
Answer:
Son's age = 24 years
Man's age = 48 years
Step-by-step explanation:
Let's take the age of son as x
Man's age = 2x
Twelve years ago,
Son's age= x-12
Man's age= 2x-12
Man is three times as old as his son so,
[tex] \frac{2x - 12}{x - 12 } = \frac{3}{1} [/tex]
Solving for x,
2x-12(1) = x-12(3)
2x-12 = 3x-36
2x-3x = -36+12
-x = - 24
x = 24
So if we substitute the values we get,
Son's age = 24 years
Man's age = 48 years
Hope you understand :)
Step-by-step explanation:
[tex] \underline{ \underline{ \text{Solution}}} : [/tex]
Let the present age of father be ' x ' years and that of the son be ' y ' years. From the first condition ,
x = 2y ••••••• equation ( i )From the second condition ,
x - 12 = 3 ( y - 12 ) ••••• equation ( ii )Substituting the value of x from equation ( i ) in equation ( ii ) :
[tex] \sf{2y - 12 = 3(y - 12)}[/tex]
Solve for y ( age of the son ) :
⟿ [tex] \sf{2y - 12 = 3y - 36}[/tex]
⟿ [tex] \sf{2y - 3y = - 36 + 12}[/tex]
⟿ [tex] \sf{ - y = - 24}[/tex]
⟿ [tex] \sf{y = 24}[/tex]
Now , Substituting the value of y in equation ( i ) , we get :
[tex] \sf{x = 2 \times 24}[/tex]
⟿ [tex] \sf{x = 48}[/tex]
So, the present age of the father is 48 years and that of the son is 24 years.
Hope I helped ! ツ
Have a wonderful day / night ♡
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A segway travels 12.5 miles every 1/2 hour. What is the unit rate of miles per hour?
Answer:
The answer tot he question provided is 25.
Help :((((((((((((((((((
Answer:
101
Step-by-step explanation:
6 - 5 = 1
1+100=101
k=101
Sorry if I'm incorrect
What is the area of a circle that has 6 m
Answer:
28.274
Step-by-step explanation:
Heyyy please help!!
Answer:
444 cm squared
Step-by-step explanation:
first multiply 6 by 8 by 18.5, and you will get 888.
But since it's a triangle you would have to divide that by 2.
This will get you 444 cm squared.
Answer:
. yupp
Step-by-step explanation:
the pass mark for an exam is 92%
abbi scored 62 out of 68
does she pass the exam
Answer:
68/100*92= 62.56
No abbi does not pass exam.
Answer:
Yes that is correct
Step-by-step explanation:
68/1009262.56An angle measures 10 more than four times a number. It’s supplement is two more than three times the number. What is the measure of each angle in degrees
Answer:
4x +10 + 3x +2 = 180 (since they're supplementary, the angles together =180)
7x +12 =180 (combine like terms on left side, and subtract 12 from both sides)
7x = 168 (divide both sides by 7 to isolate x)
x= 24
angle 1 = 4(24)+10 (plug x into the expression for each angle, and solve)
..................96 +10
angle 1 = 106 degrees (the measure of the first angle)
angle 2 = 3(24) +2
..................72 +2
angle 2 = 74 (the measure of the second angle)
106 +74 =180 (the two add up to 180, so they're supplementary)
Step-by-step explanation:
I hope this helps :)
a confectioner mixes forty liters of 60% sugar syrup with a 10% sugar syrup to make a 20% sugar syrup. how much of the 10% syrup should she use?
Answer:
160 liters
Step-by-step explanation:
"a confectioner mixes forty liters of 60%":
Equation: 40 * .60
ow plug it in
0.60*40 + 0.10x = 0.20(40+x)
"how much of the 10% syrup should she use?":
.10x
"...to make a 20% sugar syrup.":
0.20(40+x)
Now that I have split the question into equations, let's put them together:
0.60*40 + 0.10x = 0.20(40+x)
Solve:
60*40 + 10x = 20*40 + 20x
10x = 40*40
x = 160 liters (amt of 10% solution needed)
Hope this helps :)
160 liters of 10% syrup is needed to make the mixture.
EquationAn equation is an expression used to show the relationship between two or more variables and numbers.
Let x represent the amount of 10% syrup. Hence:
(60% of 40) + (x of 10%) = (x + 40) of 20%
0.6 * 40 + x * 0.1 = (x + 40) * 0.2
24 + 0.1x = 0.2x + 8
x = 160 liters
160 liters of 10% syrup is needed to make the mixture.
Find out more on Equation at: https://brainly.com/question/13763238
alyze the following special produ
ve USII
1.
(3x + 5)(2x - 3). Solve using the F.O.I.L.
2.
(x + 2)(x – 13). Solve using the F.O.I.L.
3. (x + 5)2. Solve using the square of Binomial.
1. (x – 3)2 Solve using the square of Binomial.
Answer:
1) Solving the term [tex](3x + 5)(2x - 3)[/tex] using F.O.I.L we get [tex]\mathbf{6x^2+x-15}[/tex]
2) solving the term [tex](x + 2)(x - 13)[/tex] using F.O.I.L we get [tex]\mathbf{x^2-11x-26}[/tex]
3) Solving [tex](x+5)^2[/tex] using square of binomial we get [tex]\mathbf{x^2+10x+25}[/tex]
4) Solving [tex](x+5)^2[/tex] using square of binomial we get [tex]\mathbf{x^2-6x+9}[/tex]
Step-by-step explanation:
1) (3x + 5)(2x - 3). Solve using the F.O.I.L.
F.O.I.L stands for First, Outer Inner Last
We have [tex](3x + 5)(2x - 3)[/tex]
First: 3x(2x)
Outer: 3x(-3)
Inner: 5(2x)
Last: 5(-3)
Solving we get:
[tex](3x + 5)(2x - 3)\\=3x(2x)+3x(-3)+5(2x)+5(-3)\\=6x^2-9x+10x-15\\=6x^2+x-15[/tex]
So, solving the term [tex](3x + 5)(2x - 3)[/tex] using F.O.I.L we get [tex]\mathbf{6x^2+x-15}[/tex]
2) (x + 2)(x – 13). Solve using the F.O.I.L.
F.O.I.L stands for First, Outer Inner Last
We have [tex](x + 2)(x -13)[/tex]
First: x(x)
Outer: x(-13)
Inner: 2(x)
Last: 2(-13)
Solving we get:
[tex](x + 2)(x - 13)\\=x(x)+x(-13)+2(x)+2(-13)\\=x^2-13x+2x-26\\=x^2-11x-26[/tex]
So, solving the term [tex](x + 2)(x - 13)[/tex] using F.O.I.L we get [tex]\mathbf{x^2-11x-26}[/tex]
3) (x + 5)^2. Solve using the square of Binomial.
The square of binomial is: [tex](a+b)^2=a^2+2ab+b^2[/tex]
Solving:
[tex](x+5)^2\\=(x)^2+2(x)(5)+(5)^2\\=x^2+10x+25[/tex]
So, solving [tex](x+5)^2[/tex] using square of binomial we get [tex]\mathbf{x^2+10x+25}[/tex]
4) (x -3)^2. Solve using the square of Binomial.
The square of binomial used is: [tex](a-b)^2=a^2-2ab+b^2[/tex]
Solving:
[tex](x-3)^2\\=(x)^2-2(x)(3)+(3)^2\\=x^2-6x+9[/tex]
So, solving [tex](x+5)^2[/tex] using square of binomial we get [tex]\mathbf{x^2-6x+9}[/tex]
35w+9w+35w^3+25w^3–25w^3
pls help
Answer:
35w^3 + 44w
Combine Like Terms:
= 35w + 9w + 35w^3 + 25w^3 - 25w^3
= (35w^3 + 25w^3 - 25w^3) +(35w + 9w)
= 35w^3 + 44w
Hope this is right ♡
7th grade math help me please :)
Answer: 33
Step-by-step explanation:
a + b/c = 24 + 36/4 = 24 + 9 = 33
Answer:
33
Step-by-step explanation:
33 is the answer because when you have 24 + 36/4, 36 / 4 = 9, so the equation would become 24 + 9, and that's how you get 33
What is the area of the real object that the scale drawing models?
Scale factor: 13
Area =
40 square cm
Scale drawing
Object
A. 24 square cm
B. 120 square cm
C. 360 square cm
D. 40 square cm
Answer:
C. 360 cm²
Step-by-step explanation:
scale factor: 1:3
area = 3² times
40 x 9 = 360
can someone help me please
13 i thin kaaks si s jd fj nojxiiubscnhubsuind
Answer: 54/4 or 13 2/4
Step-by-step explanation: So first you have to make both fractions into improper fractions. So 15(4)+3=63 over the denominator which is 4. And 2(4)+1=9 over the denominator which is 4. Then subtract the two fractions: 63/4-9/4, and since the two denominators are the same you keep it as 4. So the answer would be 54/4 or if you need it to be a mixed number, 13 2/4.
Which of the following ratios are equivalent
A) 4/6 and 8/6
B) 11/7 and 22/14
c) 8/7 and 16/12
D) 1/3 and 3/2
Step-by-step explanation:
b is the equal ratios just divide 22 and 14 with 2 you gonna get you answer easily
Answer:
a) 4/6 is not equivalent to 8/6.
b) 11/7 is equivalent to 22/14
c) 8/7 is not equivalent to 16/12
d) 1/3 is not equivalent to 3/2
Step-by-step explanation:
a) 4/2 8/2
----- : ---------
6/2 6/2
= 2/3 is not equal to 4/3, therfore they are not equivalent ratios.
b) 11 * 2
-------- = 22/14
7*2
= Therefore, 11/7 is equivalent to 22/14.
c) 8*2
-------- = 16/14
7*2
= Therefore, they are not equivalent ratios.
c 1*3 3/9, Therefore, they are not equivalent ratios...
------ =
3*3
I hope this helps !!!
Please mark it as Brainliest!!!
Find the slope of the line passing through the points (-3,7) and (2, -6).
Undefined
Answer:
think its x=3 hope it helps
help don't get it plzz help
Answer: e
Step-by-step explanation: hope this helps!
A rectangular prism has a base that measures 5 centimeters by 3 centimeters and a a height of 2 centimeters. Cameron fills the prism
with centimeter cubes. Which of the following statements is TRUE?
A There will be 2 layers of cubes in the rectangular prism.
B. Cameron will use 60 cubes on the bottom layer.
OC Cameron will use a total of 120 cubes to fill the rectangular prism.
OD. The rectangular prism will have a perimeter of 32 centimeters along the base.
Answer:
A. There will be 2 layers of cubes in the rectangular prism.
Step-by-step explanation:
height = 2 cm
cube height = 1 cm
so only 2 layer of cube can be in the 2 cm height rectangular prism
plz help im confused on how this works. If a triangle has side lengths of 7.5 and 4.8, what is the range of lengths for the third side
Answer:
it is important to keep in mind that the interior of a triangle is 180º. Im not sure if the side your solving for is the longest or shortest one but the teo long side must be great than the third. dind the angles of the triangle that should help.
Step-by-step explanation:
What is 25% of 140?
O 14
O 30
0 35
O 40
Answer:
35
Step-by-step explanation:
do 140 times .25 to get 35
Answer:
25% of 140 is 35
Step-by-step explanation:
Hope this helps!
Sorry for the iready lesson spam but i suck at geometry :
Answer:
x = 63; y = 27
Step-by-step explanation:
x + 117 = 180
x = 180 - 117
x = 63
x + y = 90
63 + y = 90
y = 90 - 63
y = 27
Bam! UwU
Lol Hope this helps !
That is a question about angles.
There are two informations in that image that we should to note:
The sum of the angles x and y is a right angle. A right angle is a 90° angle. That is to say [tex]x + y = 90[/tex].The sum of the angle x and the 117° angle is a straight angle. A straight angle is an angle that measure 180°. In other words, [tex]x + 117 = 180[/tex].With these two informations we can solve that question. The first step is solve the second equation, and we will find the x value. Finally, we change the x value in the first equation and we find the y value. Let's solve the equations:
Second equation:[tex]x + 117 = 180\\x = 180 - 117\\x = 63[/tex]
So, the value of x is 63°. Let's replace the x value in the first equation.
First equation:[tex]x+y = 90\\63 + y = 90\\y = 90 - 63\\y = 27[/tex]
Thus, the value of y is 27°.
Therefore, the correct option is the option says x = 63°, y = 27°.
I hope I've helped. :D
Enjoy your studies. \o/
There are 18 girls in a class.
If this is 40% of the class list, how many students are in the class?
Answer:
45 students
Step-by-step explanation:
40+40=80 40/2=20 80+20=100
18+18=36 18/2=9 36+9=45
horrible explaining but hope it helps :)
Answer:
45
Step-by-step explanation:
18 ÷ 45 = 0.4 = 40%
What is the simplified form of 4 radical 3/2x
Answer:
The correct answer is ^4sqrt24x^3/2x or B on edge.
hope this helps!!:)
Step-by-step explanation:
What is the value for x?
Enter your answer in the box.
Answer:
5
Step-by-step explanation:
Remember, the sum of all the angles in a triangle equals 180 degrees.
Moreover, looking at the diagram, we can see sides BA and BC are identical. This means this triangle is an isosceles triangle. Remember, all isosceles triangles will also have two identical angles. In this case, angles A and C are identical (meaning A and C are both 73 degrees).
So, if A is 73 degrees, C is 73 degrees, and we know that all the angles must sum to 180 degrees (so A + B + C = 180), then we can construct the following equation to solve for x:
[tex]73+73+6x+4=180\\150+6x=180\\6x=180-150\\6x=30\\x=\frac{30}{6}\\x=5[/tex]