Alejandro will deposit $1,750 in an account that earns 6.5% simple interest every year. His sister Anallency will deposit $1,675 in an account that earns 7.5% interest compounded annually. The deposits will be made on the same day, and no additional money will be deposited or withdrawn from the accounts. Which sibling will have more money at the end of four years?
Answer: Anallency
Step-by-step explanation:
First, lets make two equations for both siblings, using the base: SI = P(1 + rt) and CI = P(1 + r/n)^nt
Alejandro = 1750(1 + 0.065[4]) = 1750 + 455 = $2,205
Anallency = 1675(1 + 0.075/1)^4 = $2236.91
After 4 years, Alejandro will have $2,205, and Anallency will have $2236.91
Since $2236.91 > 2,205, Anallency will have more money after 4 years.
Answer:
Anallency will have mor money.
Step-by-step explanation:
Simple Interest:
I = Prt
I = $1750 × 0.065 × 4
I = $455
Total after 4 years: $1750 + $455 = $2205
Compound Interest:
F = P(1 + r/n)^(nt)
F = $1675(1 + 0.075)^(4)
F = $2236.91
Answer: Anallency will have mor money.
Solve the following....
[tex]x+4=3(x-2)[/tex]
Answer:
x = 5
Step-by-step explanation:
x + 4 = 3(x - 2) ← distribute parenthesis by 3
x + 4 = 3x - 6 ( subtract 3x from both sides )
- 2x + 4 = - 6 ( subtract 4 from both sides )
- 2x = - 10 ( divide both sides by - 2 )
x = 5
Answer:
Solution of equation is 5Step-by-step explanation:
In the question we have given an equation that is x + 4 = 3 ( x - 2 ) . And we are asked to solve the question that means we have to find the value of x .
Solution : -
[tex] \longrightarrow \quad \: x + 4 = 3(x - 2)[/tex]
Step 1 : Solving parenthesis on right side :
[tex] \longrightarrow \quad \: x + 4 = 3x - 6[/tex]
Step 2 : Subtracting 4 on both sides :
[tex] \longrightarrow \quad \: x + \cancel{4} - \cancel{ 4 }= 3x - 6 - 4[/tex]
On further calculations we get :
[tex] \longrightarrow \quad \: x = 3x - 10[/tex]
Step 3 : Subtracting 3x on both sides :
[tex] \longrightarrow \quad \: x - 3x = \cancel{3x } - \cancel{3x}- 10[/tex]
On further calculations we get :
[tex]\longrightarrow \quad \: - 2x = - 10[/tex]
Step 4 : Dividing both sides by -2 :
[tex]\longrightarrow \quad \: \dfrac{ \cancel{ - 2}x}{ \cancel{ - 2} } = \cancel{\dfrac{ - 10}{ - 2} }[/tex]
On further calculations we get :
[tex]\longrightarrow \quad \: \red{\underline\red{\boxed{ \frak{ x = 5}}}}[/tex]
Therefore , value of x is 5 .Verifying : -
We are verifying our answer by substituting value of x in given equation. So ,
x + 4 = 3 ( x - 2 )5 + 4 = 3 ( 5 - 2 )9 = 3 ( 3 )9 = 9L.H.S = R.H.S Hence, Verified.Therefore, our answer is correct .
#Keep LearningGIVING BRAINLEST TO THE PERSON THAT CAN EXPLAIN HOW TO DO THIS THE BEST :)
Answer:
196 - 49[tex]\pi[/tex]
i hope this helped :)
Step-by-step explanation:
first of all the explaination is to first find the area of the square and then the circle after you have found that you should subtract them and you will get the area of the shaded region.
radius x 2 = the side of the square
7 x 2 = 14
area of square - 14 x 14 = 196 squared
formula of finding the area of the circle - [tex]\pi[/tex]r^2
area of circle - 3.14 x 7 x 7 = 49[tex]\pi[/tex]
so answer simpliefied is 196 - 49[tex]\pi[/tex]
i hope this helped
Hello, I was just doing some practicing for adding integers. I did some problems on my own and I was wondering if I am on the right track.
Answer:
Yes
Step-by-step explanation:
Is Okay.
but when the answer is a positive answer ignore the + sign
but if negative show it
apart from that it's all okay
Another math thing I need help with
Answer:
Step-by-step explanation:
This quadratic equation is given in standard form, which is [tex]y= ax^2 +bx+c[/tex]. The x-value of the vertex of a quadratic equation can be found using the given formula. Therefore, we can plug the the numbers given into the formula as such: [tex]x=\frac{24}{2(6)}[/tex]. This can be simplified into 2. Now that we have the x-coordinate, we can plug that back into the equation to find the y-coordinate: [tex]y=6(2)^2-24(2)+30[/tex]. This simplifies to y = 6. Therefore, the vertex of the equation is located at (2,6).
Hope this helps!
A student chosen at random from a class of 12 girls and 14 boys. What is the probability that the student chosen is not a girl ?
The population of a town is increasing at a rate of 3.5% per year. In 2010, the town had a population of 24,500. Find the population of the town in 2021. (if you can please give a short explanation)
well, from 2010 to 2021 is 11 years later, so
[tex]\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &24500\\ r=rate\to 3.5\%\to \frac{3.5}{100}\dotfill &0.035\\ t=years\dotfill &11\\ \end{cases} \\\\\\ A=24500(1 + 0.035)^{11}\implies A=24500(1.035)^{11}\implies A\approx 35769[/tex]
Prove
[tex]\small \dfrac{ \sin(A) - \cos(A) + 1}{\sin(A) + \cos(A) - 1} = \dfrac{\cos(A)}{1 - \sin(A) } [/tex]
Help!!!!!!!!!
[tex] \frac{ \sin(a) - \cos(a) + 1 }{ \sin(a) + \cos(a) - 1 } = \\ [/tex]
____________________________________________
[tex] \frac{ \sin(a) - \cos(a) + 1 }{ \sin(a) + \cos(a) - 1 } \times \frac{ \sin(a) + \cos(a) + 1}{ \sin(a) + \cos(a) + 1 } = [/tex]
[tex] \frac{ {sin}^{2}(a) + 2 \sin(a) - {cos}^{2} (a) + 1 }{ {sin}^{2}(a) + 2 \sin(a) \cos(a) + {cos}^{2}(a) - 1 } = [/tex]
_____________________________________________
As you know :
[tex] {sin}^{2} (a) + {cos}^{2} (a) = 1[/tex]
_____________________________________________
[tex] \frac{ {sin}^{2} (a) - {cos}^{2}(a) + 2 \sin(a) + 1}{ {sin}^{2} (a) + {cos}^{2}(a) - 1 + 2 \sin(a) \cos(a) } = [/tex]
[tex] \frac{ {sin}^{2}(a) - (1 - {sin}^{2}(a)) + 2 \sin(a) + 1 }{1 - 1 + 2 \sin(a) \cos(a) } = [/tex]
[tex] \frac{ {sin}^{2} (a) + {sin}^{2} (a) - 1 + 1 + 2 \sin(a) }{2 \sin(a) \cos(a) } = [/tex]
[tex] \frac{2 {sin}^{2}(a) + 2 \sin(a) }{2 \sin(a) \cos(a) } = [/tex]
[tex] \frac{2 \sin(a)( \sin(a) + 1) }{2 \sin(a)( \cos(a) \: ) } = \\ [/tex]
[tex] \frac{ \sin(a) + 1}{ \cos(a) } \\ [/tex]
And we're done...
Take care ♡♡♡♡♡
Which letter is the height?
Answer:
I'm pretty sure y is the height.
Write the equation of the line that passes through the points (-3, -5) and
(-2,-4). Put your answer in fully simplified point-slope form, unless it is a vertical
or horizontal line.
Help me pls very pls
Answer:
y = 4
Step-by-Step explanation:
4x5 = 20
2x5 = 10
20+10=30.
(4x5) + (2x5) = 30
or
(yx5) + (2x5) = 30
Brainliest would be appriciated :) have a nice day!
is the theoretical or the experimental probability greater for the coin landing on tails?
Melissa made a paperweight. The paperweight is a rectangular prism. She painted the outside surface of the paperweight.
The roof of castle is in the Shape of a cone. It has a height of 12 feet and a diameter of 6 feet, how much air occupies the roof? (Use PE= 3. 14 )
I need help setting up the equations
Answer:
Just multiply the number by the percentage.
Step-by-step explanation:
1. Make the percentage into a decimal (%50= 0.50)
2. Multiply the decimal by the number.
what is 2+2+9+0+8+1+2+3+4+5+6+7+8+9
Answer:
66
Step-by-step explanation:
adding all shown numbers without a calculator = 66
select the correct location on the number line which point on the number line represents the approximate volume of a cylinder with a radius of 4 units snd a height of 4 units?
Answer:
Step-by-step explanation:
Volume = Volume = π r^2 h r^2 h
= 4^2 * 4 * π
= 64π
which is about 64 * 22/7
= 200
which is the 5th point from the left.
can someone answer this is that I do not understand and I need it.
Answer:
y = 110 degree
x = 70 degree
z = 70 degree
Step-by-step explanation:
Vertical angles are always congruent.
so, the angle with the 110 degree is equal to the angle y.
now we have the measure of y.
as you can see angle y and angle z form a straight light wich means the sum of angle y and angle x is 180 degree
now, to get the measure of angle z,
180 - 110 = angle z
70 = angle z
now we have the measure of angle z
as angle z and angle x are vertical angle, they are congruent.
so angle x = 70
x = 70
z= 70
y = 110
hope this helps:)
Enter the correct answer in the box. Simplify the expression (6^4)^2.
Answer:
1679616
Step-by-step explanation:
(6^4) = 1296
1296^2 = 1679616
-1.6, 5/2, -7/8, 0.9, -6/5 from least to greatest
Answer:
starting with least...
-1.6
-6/5
-7/8
9/10
5/2
...to greatest.
Step-by-step explanation:
start by putting the decimals into fractions:
-1.6 = -8/5
0.9 = 9/10
and then find a common denominator to compare them fairly.
the number that they all end up going into is 40, which will be your common demoninator.
-8/5 (aka -1.6) = -64/40
5/2 = 100/40
-7/8 = -35/40
9/10 (aka 0.9) = 36/40
-6/5 = -48/40
Find the length of h. Round to the nearest hundreth.
Answer:
h = 0.24
Step-by-step explanation:
Assuming this is a parallelogram...
Sine trig ratio
[tex]\sin(\theta)=\sf \dfrac{O}{H}[/tex]
where:
[tex]\theta[/tex] is the angleO is the side opposite the angleH is the hypotenuseLet x be the angle in the top left of the parallelogram.
[tex]\implies \sin(x)=\dfrac{0.3}{0.5}=\dfrac35[/tex]
Opposite angles in a parallelogram are congruent.
Therefore, the angle in the bottom right of the parallelogram is also x.
[tex]\implies \sin(x)=\dfrac{h}{0.4}[/tex]
[tex]\textsf{As} \:\sin(x)=\dfrac35[/tex]
[tex]\implies \dfrac35=\dfrac{h}{0.4}[/tex]
[tex]\implies h=\dfrac35 \cdot 0.4=0.24[/tex]
Remember (3,4,5) Pythagorean triplet
Triangle containing y
Hypotenuse=0.5Base=0.4Triangle containing x
Base=0.4Perpendicular=0.3Now use ratio to find
0.5/0.3=0.4/h5/3=0.4/h5h=1.2h=1.2/5h=0.24I think my brain is messed up right now please help me with this
Answer:
5 million.
Step-by-step explanation:
1 hundred thousand = 100,000
50 of these = 5,000,000 (replacing the 1 in 100,000 by 50)
and this = 5 million.
Find the slope of the line passing through (6, -2) and (-5, 5)
Answer: [tex]-\frac{7}{11}[/tex]
Step-by-step explanation:
The formula for finding slope is [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
Where [tex](x_{1} ,y_{1} )[/tex] are the coordinates of the first point and [tex](x_{2} ,y_{2} )[/tex] are the coordinates of the second point.
Sub the values in
[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\\\frac{5-(-2)}{-5-6} \\[/tex]
Now solve
[tex]\frac{5-(-2)}{-5-6} \\\frac{7}{-11}[/tex]
Slope:-
[tex]\\ \rm\dashrightarrow m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\\ \rm\dashrightarrow m=\dfrac{5+2}{-5-6}[/tex]
[tex]\\ \rm\dashrightarrow m=\dfrac{-7}{11}[/tex]
(True or false): a square falls under both the rectangle and the kite in the quadrilateral hierarchy
Answer:
True
Step-by-step explanation:
hopes this helps.
The table below represents which equation?
х
0
2.
-1
1
1
-5
2
-8
у
-2
A
y = -x
B
y = 3x + 6
y=-3x - 2
D
y = x + 2
Answer:
C: y = -3x - 2
Step-by-step explanation:
See attached image. Use a spreasheet to calculate the values of y for each vale of x and compare the results. Equation C matches the data in the table.
NEED HELPP I DONT UNDERSTAND??!!!
Is it possible to split a jackpot of $2,783,000 equally among 9 winners? Explain your answer.
Answer:
No it isnt possible
Step-by-step explanation:
it is not because 2,783,000 is not divisible by 9
Given circle E with diameter CD and radius EA. AB is tangent to E at A. if AD = 15 and EC = 14, solve for AC.
Answer:
AC ≈ 23.6 units
Step-by-step explanation:
m∠CAD = 90°
CD = 2×14 = 28 , AD = 15
CD² = AD² + AC² ⇒ AC² = CD² - AD²
AC² = 28² - 15² = ( 28 - 15 )( 28 + 15 ) = 13 × 43 = 559
AC ≈ 23.6
Help please
(it needs more characters so ♀️
Answer:
5.1 is the correct answer
hope it will help you
help nowwww
These polygons are similar.
What is the value of x?
• A. 16
20.25
O c 21
•
24.75
• E 36
Answer:
20
Step-by-step explanation:
As they are similar, correspondence sides are in common ratios:
Apply cross product property
Multiply the numbers
Divide both sides of the equation by 5
Calculate