Answer: 100$
Step-by-step explanation:
Autumn invested $69,000 in an account paying an interest rate of 6 3/8% compounded continuously. Jayden invested $69,000 in an account paying an interest rate of 6 1/4% compounded quarterly. After 14 years, how much more money would Autumn have in her account than Jayden, to the nearest dollar?
Answer:
4,038.21
Step-by-step explanation:
I'm going to assume that when you write 6 3/8% that equals 51/8%=6.375%
To find the value in the first equation we have
69000*e^(.06375*14)=168,444.5313
The second equation is as follows
69000(1+(.0625/4))^(14*4)=164,406.3243
Subtract the two and get 4,038.2071
Write an expression for 57 less than j
Answer:
Step-by-step explanation:
j-50
Segments that intersect at 90° angles are called _____
Answer:
Perpendicular segments
Step-by-step explanation:
3x-5/6=1/6 what does x=?
Answer:
x = 2
Step-by-step explanation:
[tex]\frac{3x-5}{6} = \frac{1}{6} \\[/tex]
In order to solve this, you must get the denominator off of the left-hand side of the equation, by multiplying 6 on each side, in order to get the denominators to cancel. This leaves you with:
[tex]3x-5 = 6/6\\3x-5 = 1[/tex]
Then, you add 5 to each side.
[tex]3x = 6[/tex]
Divide by 3, to get x by itself.
[tex]x = 2[/tex]
Which gets us to our final answer of x = 2.
Then, you can plug x back into the equation just to double-check yourself:
[tex]\frac{3(2)-5}{6} = \frac{1}{6} \\\\\frac{6-5}{6} = \frac{1}{6}\\\\\frac{1}{6} = \frac{1}{6}[/tex]
I hope that this helped you understand to concept a little better. Good luck.
Deana made a scale drawing of her patio using a scale of 1/2 cm =1 foot what is the actual width, in feet, of deanas patio
Full question attached
Answer and explanation:
Given that 1/2cm= 1 foot
5cm= 2×5=10 feet
Length is twice the width, therefore real length of shape = 10×2=20 feet
Perimeter is sum of all sides= 20 feet+20 feet+10 feet+10 feet = 60 feet
Therefore Deana's Patio= 60 feet in real length
Answer:
60
Step-by-step explanation:
(a) Write 7.12% as a decimal.
(b) Write 0.019 as a percentage.
PLS HELP ME PLSS
Answer:
7.12 percent is .0712
and for .019 it's 1.9 percent
please answer, no need for explanation:)
1) the volume of right circular cone is 9856cm² . if the diameter of the base is 28cm , find height of cone .
Which three side lengths best describe the triangle in the diagram?
Answer:
D
Step-by-step explanation:
the hypotenuse is 10 cm one leg is 8 cm and the other leg is 6 cm
For the function f(x)={−x+3,x>02x+3,x≤0, what is the average rate of change over the interval 1 ≤ x ≤ 3?
Answer:
3432
Step-by-step explanation:
Answer:
-1
Step-by-step explanation:
The inequality graphed below represents the ages, a, of players on a baseball team.
which equation matches the graph of the greatest integer fiction giving below? a p e x
Answer:
A P E X < CS
Step-by-step explanation:
simple
If the cost of 4 pears and 2 peaches equals $1.00 and the cost of 2 pears and 3 peaches equals $0.70 how much does each pear and each peach cost
Answer:
20 p per pear 10p per peach
Step-by-step explanation:
Hope this helps
Answer:
1 pear costs 20 cents. 1 peach costs 10 cents.
Step-by-step explanation:
x represents pears
y represents peaches
4x + 2y = 1
2x + 3y = 0.7
multiply the second equation by -2 to elimate the x variable
(2x +3y = 0.7) -2 = -4x - 6y = -1.4
add the new equation to the first original one:
4x + 2y = 1
-4x - 6y = -1.4
-4y = -0.4. divide both sides by -4, y = 0.10
plug in y = 10, solve algebraically and get x = 0.20
Lastly, check your work:
4(0.20) + 2(0.10) = 1
2(0.20) + 3(0.10) = 0.7
add 1/5 add 2/7 plz help
Answer:
17/35
Step-by-step explanation:
Answer:
17/35
Step-by-step explanation:
Math-way
The first one ^
What is the vertex for the quadratic
y = 2(x-3)^2 - 4? Type as (h.k)
Answer:
(3,-4)
Step-by-step explanation:
You can find the vertex where x = -b/2a
To find the values of a and b, it would be easier to write the equation in standard form, which is y = ax^2 + bx + c
y = 2(x^2 - 6x + 9) - 4
y = 2x^2 - 12x + 18 - 4
y = 2x^2 - 12x + 14
In this equation, a = 2 and b = -12.
So let's plug that into x=-b/2a
x = -(-12)/2(2)
x = 12/4
x = 3
Now we have the x, we can just plug that into the original equation and get the y coordinate for the vertex.
y = 2(x - 3)^2 - 4
y = 2(3 - 3)^2 - 4
y = -4
What is the slope of a line that passes through the points (-3, 2) and (-6, 5)?
A. 3
B. - 1
C. 1/3
D. 1
In her proof, Ensley wrote the formula Va + b = c? Which of the following explains why her formula
is incorrect?
A. The sum of the square of a and the square of b should be equal to the square root of c.
B. The square root of the sum of a and b should be equal to the square root of c.
C.The sum of the square of a and the square of b should be equal to the square of c.
D.The sum of the square root of a and the square root of b should be equal to the square of c
Answer:
C. a^2 + b^2 = c^2
Step-by-step explanation:
I NEED HELP SOMEONE ASAP
Answer: x⁴y²⁰
Step-by-step explanation: Distribute the exponent ⁴ over the parentheses
(x y⁴)⁴ becomes x⁴y¹⁶ (multiply exponents)
then take the 4th root of y¹⁶ (divide the exponent of the radicand by the index) ⁴√y¹⁶ becomes y⁴
Then multiply the factors. Add exponents
x⁴y¹⁶ * y⁴ becomes x⁴y²⁰
A right cone has a slant height of 17 feet, and the diameter of the base is 30 feet. What is the height, h, of the cone?
I WILL MARK BRANILEST
Answer:
8
Step-by-step explanation:
Answer:
Its 8 100%
Step-by-step explanation:
Edit: OK its right here is the The work And no I didn't copy
Evaluate x2 when x =5
Answer:
10
Step-by-step explanation:
If x=5 then
Plug in the x
(5)2 then multiply
(5)2=10
Find the simple interest earned on a deposit of $2,800 that earns 2% annual interest after 5 years.
$28,000
$28,000
$30,080
$30,080
$2,420
$2,420
$280
Convert the following decimal to a fraction.
2.48
What is the value of x that makes this figure correct? *
Answer:
8
Step-by-step explanation:
Opposite angles are equal so
4x+12=44
4x=32
x=8
A race car can travel at a speed of 3.4 x 10^2 miles/hour. The Speed of Sound is approximately 7.6 × 10^2 miles/hour. How many times faster is the Speed of Sound than the Bullet Train?
Answer:
The speed of sound is 2.23 times of the speed of race car
Step-by-step explanation:
Given that,
The speed of a race car = [tex]3.4\times 10^2\ mi/h[/tex]
The speed of sound = [tex]7.6\times 10^2\ mi/h[/tex]
Dividing the speed of sound to the speed of a race car. So,[tex]\dfrac{\text{speed of sound}}{\text{speed of race car}}=\dfrac{7.6\times 10^2}{3.4\times 10^2}\\\\\dfrac{\text{speed of sound}}{\text{speed of race car}}=2.23[/tex]
So, the speed of sound is 2.23 times of the speed of race car.
What is the first step in evaluating the expression (5 + 8 ÷ 4 × 3)^2 − 7?
what is y = 5/3x + 2
Answer:
Solving for x : x = 3y/5 - 6/5. Solving for y : y= 5x/3 +2
Step-by-step explanation:
Solving for x: Solve for x by simplifying both sides of the equation, then isolating the variable.
Solving for y: Combine 5/3 and x.
You didn't say which one to solve for so I put out both for you.
Hoped this helped!
Brainly, Please?
Jerome is a dietician who tracks his daily caloric intake from different sources of nutrients. Here are summary statistics for his daily values: Let T represent the total calories from fat, protein, and carbohydrates that Jerome consumes on a randomly chosen day. Find the standard deviation of T
Answer:
It can not be determined from the information given because the calorie sources are not independent.
Step-by-step explanation:
Explained in answer above.
There is no enough information to calculate the standard deviation of T.
Check below on how to determine the standard deviation
What is standard deviation?The standard deviation of a dataset is how much the data elements of the dataset are far from the mean or average value of the dataset
The given parameters are the mean and the standard deviations of calories from fat, protein, and carbohydrates
These values are not enough to determine the standard deviation of T
Hence, there is no enough information to calculate the required standard deviation
Read more about standard deviation at:
https://brainly.com/question/15858152.
#SPJ2
explain why 1/6 + 1/3= 1/2
Answer:
1/6+2/6=3/6
1/2
Step-by-step explanation:
Answer:
1/6+ 1/3= 1/2
Step-by-step explanation:
first find the LCM of the denominator
LCM of 6&3 = 6
1+2/6 = 3/6
reduce to the lowest fraction
3/6 = 1/2
What is the sum of 25% of 2018 and 2018% of 25?
Answer:
1009
Step-by-step explanation:
0,25 x 2018 = 504,5
20,18 x 25 = 504,5
504,5 + 504,5 = 1009
Answer:
1,009
Step-by-step explanation:
[tex] \frac{25}{100} \times 2018 = 504.5[/tex]
[tex] \frac{2018}{100} \times 25 = 504.5[/tex]
[tex]504.5 + 504.5 = 1009[/tex]
hope it helps you ☺️
Evaluate each expression:
1. (-1) x 2 x 3
2. (-1) x (-2) x 3
3. (-1) x (-2) x (-3)
Need Answer for all the expressions.