If Boyce had started investing when he was 20 the amount he would have more than he does in his retirement savings would be b. $321,946.93.
How much more would Boyce have?First convert the interest to a monthly rate:
= 4% / 12 months
= 1 / 3 %
Period:
= (63 - 34) x 12 months a year
= 348 months
Amount saved:
= Amount x ( (1 + rate) ^ number of periods - 1) / rate
= 450 x ( (1 + 1/3%)³⁴⁸ - 1 ) / 1/3%
= $294,811.07
If he started saving at 20, the number of periods would be:
= (63 - 20) x 12
= 516 months
Amount saved:
= 450 x ( (1 + 1/3%)⁵¹⁶ - 1 ) / 1/3%
= $616,758
The difference is:
= 616,758 - 294,811.07
= $321,946.93
Find out more on future value savings at https://brainly.com/question/26662056.
I need help with these 2 problems Please and thank you :)
Answer:
the answer for the first is 3/4
and the answer for the second is 2x/x+5
There are 5 cups of oatmeal in a container. Stella eats 1/3 cup of oatmeal every day for breakfast. In how many days will Stella finish all the oatmeal in the container?
Answer:
15 days
Step-by-step explanation:
Since there are 5 cups and she eats it 1/3 times a day if you think about it, its like 5 times 3.
what is the surface area of this drawing
Answer:
should be 512 inches because l x w x h (8x8x8) is 512
NEED HELP ASAPPP!!!!!!
Answer:
B
Step-by-step explanation:
Square both sides, and get s^2 = k3/p
next multiply both sides by p and get (s^2)(p)=k3
Therefore k3 equals s^2 times p
consider the system of linear inequalities {y<1/2x-1, y>2x+3} Which points are in the solution set?
a. (-4,-3)
b. (1,3)
c. (-5,-7)
d. (3,0)
e. (-6,-5)
f. (-7,-2)
g. (-4,-4)
h. (-3,-3)
Answer: g, e
e. (-6,-5)
g. (-4,-4)
Step-by-step explanation:
While we could plug in each value of data points to see if it solves correctly, a quicker way to solve this problem is to graph.
The points that are a solution to the set are points in the area of overlap created by the two equations graphed. Points that are on a line in the overlap, but not over, are not a solution because the equations do not include "equal to."
See attached for the graph.
The solution set of y < 1/2x - 1 and y > 2x + 3 are their true values
The solution set of the system of linear inequalities are (-6,-5) and (-4,-4)
How to determine the solution set?The system of linear inequality is given as:
y < 1/2x - 1
y > 2x + 3
Start by plotting the graph of both inequalities
Because both inequalities do not have any form of equation i.e. ≤ and ≥, then only the points in the shaded area represents the solution set of the inequality.
The points in the shaded area are (-6,-5) and (-4,-4)
Other points are either outside the shaded area or on the line of the inequalities
Hence, the solution set of the system of linear inequalities are (-6,-5) and (-4,-4)
Read more about inequalities at:
https://brainly.com/question/18881247
What is the solution for 2.5x-5=5?
Answer:
Simplifying
2.5x + -5 = 5
Reorder the terms:
-5 + 2.5x = 5
Solving
-5 + 2.5x = 5
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '5' to each side of the equation.
-5 + 5 + 2.5x = 5 + 5
Combine like terms: -5 + 5 = 0
0 + 2.5x = 5 + 5
2.5x = 5 + 5
Combine like terms: 5 + 5 = 10
2.5x = 10
Divide each side by '2.5'.
x = 4
Simplifying
x = 4
Step-by-step explanation:
Answer:
x=4
Step-by-step explanation:
2.5x-5=5
isolate the variable to find your answer
2.5x-5=5
+5>+5
2.5x=10
divide by 2.5
10/2.5=4
x=4
Divide. enter your solution as a mixed number.
6,132 ÷ 203 =
(enter all mixed numbers as x y/z.)
Answer: 30 6/29
Step-by-step explanation: 6132 \ 203 is 30 and 42/203. 42/203 simplified is 6/29
30jk in expanded form ????
Answer:
Step-by-step explanation:
The expanded form of 30 is 30+ 0. 2. How can write a 30 number in expanded fraction form? In the expanded fraction form, you can write 30 as (3 x 10) + (0 x 1).
Find measure of the angle UTW
Step-by-step explanation:
Since radii of a circle are congruent, UT is congruent to WT.
Since angles opposite congruent sides in a triangle are congruent, angles UWT and WUT are congruent.
This means the measure of UTV is 180-57-57=66 degrees
The volume of this right trapezoidal prism is 464.75 ft³. What is the height, x, of the prism? Enter your answer as a decimal in the box.
Check the picture below.
so the volume is really just the product of the trapezoidal face and the length, and we know is 464.75 ft³.
[tex]\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h=height\\ a,b=\stackrel{parallel~sides}{bases}\\[-0.5em] \hrulefill\\ h=5\\ b=8\\ a=5 \end{cases}\implies A=\cfrac{5(5+8)}{2}\implies A=\cfrac{65}{2}~ft^2 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\large volume of the prism}}{\stackrel{\textit{area of trapezoid}}{\left( \cfrac{65}{2} \right)} \stackrel{length}{(x)}}~~ = ~~464.75\implies \cfrac{65x}{2}=464.75 \\\\\\ 65x=(2)464.75\implies x=\cfrac{(2)464.75}{65}\implies x=14.3[/tex]
the question is in the photo whoever gets the right answer gets brainlist :))
Step-by-step explanation:
it is a combination of a cone and half a sphere.
the volume of a cone is
ground area × height / 3
the ground area is a circle, so we have
pi×r²×h/3
in our case
pi×(10/2)²×12/3 = pi×5²×4 = pi×25×4 = 100pi
the volume of a sphere is
4/3 × pi×r³
and half a sphere is then
4/3 / 2 × pi×r³ = 4/6 × pi×r³ = 2/3 × pi×r³
in our case
2/3 × pi×5³ =2/3 × pi×125 = 250/3 × pi
together we get
100pi + 250/3 × pi = 300/3 × pi + 250/3 × pi =
= 550/3 × pi = 575.9586532... cm³ ≈ 576 cm³
if we use 3.14 for pi we get
575.6666666... cm³ ≈ 576 cm³
I NEED HELP SO BADLY! DONT UNDERSTAND THESE! WILL GIVE BRAINLIEST! (Please do both!)
Answer: 1. Smaller than 8 SQUARE ft. 8 ft on one side and 7/8 ft one one side does NOT equal 8 square ft, it is less. It is actually 7ft. 2. 50,343 is the answer to the second question, so less than the number. Explanation: When you multiply a number by a fraction you get less than the number you started with.
Hope this helps
Answer:
7. Option 2 smaller than 8 sq.ft.
8. Less than 67.24
Step-by-step explanation:
7. the fraction 7/8 is proper, i.e. less than the unit, Any number multiplied by a proper fraction is less (reduced).
8. the same reason as the previous one, 3/4 is a proper fraction.
Hope this helps
Write a problem that represents the addition model shown above. Don't solve the problem.
15 points and Brainliest
what is the mode of 250,100,75,200,150,100
Answer:
100
Step-by-step explanation:
because 100 showed twice more then the others
Answer:
To find the mode of this question. You look for the number that showed up the most out of the values given. In this case you answer is 100.
Step-by-step explanation:
can someone help me with this question
Answer:
(4,2)
Step-by-step explanation:
It's parallel, so all of them have to be on the same way.
The last point has to be at the same distance from the one right above it
Answer:
C. (4, 2)
Step-by-step explanation:
(x, y)
if you put the last dot on (4, 2) and connected all of them, it would create a perfect parallelogram
PLSSSS HELP
Choose ALL answers that describe the polygon.
Answer:
RSTU is a parallelogram, quadrilateral, rectangle, rhombus, and square. NOT trapezoid.
Step-by-step explanation:
The shape has four sides, so it's a quadrilateral.
It has four equal sides so its a rhombus.
It has four right angles so its a rectangle.
It has four equal sides AND right angles so its a square.
And if all the sides are parallel (well, two pairs of parallel sides) its a parallelogram.
Here's the rest of the questions
Answer:
A us right of first one and d is the right of another one
b) The cheerleaders and the football team
sold 480 raffle tickets to raise money for
the cheerleader uniforms. The football
team members sold twice as many tickets
as the cheerleaders. How many tickets
were sold by the football team members?
Answer:
320
Step-by-step explanation:
cheerleaders =1
football team members=2
2+1=3
football team members= 480 ×2/3
=320
which decimal is equalient to 24 out 30 days
If K is the set of all letters in the word “equation”, and L is the set of all letters of
the word “inequality”, list all of the elements of the following sets.
K:
The question is to find all the elements in K and Y
Y:
Answer:
K ∩ L = {a, e, i, n, q, t, u}
K ∪ L = {a, e, i, l, n, o, q, t, u, y}
Step-by-step explanation:
Write the sets in alphabetical order
K = {a, e, i, n, o, q, t, u}
L = {a, e, i, l, n, q, t, u, y}
Set of all values that are members of both sets:
K ∩ L = {a, e, i, n, q, t, u}
Set of all values that are members of K, or L, or both:
K ∪ L = {a, e, i, l, n, o, q, t, u, y}
Toilet prices changed drastically during the pandemic! In February, customers were paying 90% of the full price. By April, customers were paying 106%!
Step-by-step explanation:
ok but wheres the question? these are just statements.
Pls help and explain it
Answer:
→ Compare the 2 grade A's
School B's is higher
→ Compare the 2 grade B's
School B's is higher
→ Now formulate a brief response
School B has more entrants in the exam and therefore has a higher proportion of students achieving top grades
factor the equation y=9x²-18x+9
Answer:
9(x-1)(x-1) or 9(x-1)²
Step-by-step explanation:
9x² - 18x + 9
factor out a 9
9(x² - 2x + 1)
use middle term factorization to factor x² - 2x + 1
9(x-1)(x-1) or 9(x-1)²
Middle term factorization explained:
For x² - 2x + 1, you want to find 2 numbers that multiply to +1 and add to -2. You then split x² to x and x and add the 2 numbers individually to x.
It should look something like (x+1st number)(x+2nd number)
the two numbers that multiply to get to 1 and add to get to -2 are -1 and -1
( -1 × -1 = 1 and -1 + -1 = 2 )
so we then add the number to the split x² to get (x-1)(x-1) which is the same as (x-1)², the 9 is then added to the factored form to get 9(x-1)(x-1) or 9(x-1)²
D
(3x + 4y)(9x" - 12xy + 16y')
Which polynomial equation is a valid identity?
-)))
A)
(6xy)2 – (2xy)2 = 4x?y?(3x + 1)
B)
(6xy2,2 – (2xy)2 = 4x?y(3x + 1)(3y - 1)
=
(6xy3)2 – (2xy)2 = 4x?y?(3y + 1)(3y - 1)
Answer:c
Step-by-step explanation:
Mabel's Pizza sells pizza by the slice for lunch. Today, there are 82 slices ready for lunch, including 16 slices of pepperoni pizza.
What is the probability that a randomly selected slice will be a slice of pepperoni pizza?
Write your answer as a fraction or whole number.
Answer:
19.51% or 8/41
Step-by-step explanation:
for the percentage i did :
82 divided by 100, multiplied by 16.
For the fraction:
original number(16/82) divided by 2
Find the volume of the following.
Answer:
The volume is 110
Answer:
110
Step-by-step explanation:
10x2x5.5=110
For what value of x does 64 superscript 3 x baseline = 512 superscript 2 x 12?
The value of x in the equation [tex]64^{3x} = 512^{2x}[/tex] is infinite
How to determine the value of x?The equation is given as:
[tex]64^{3x} = 512^{2x}[/tex]
Rewrite [tex]64^{3x}[/tex] and [tex]512^{2x}[/tex] in base 2
[tex]2^{6*3x} = 2^{9*2x}[/tex]
Evaluate 6 * 3x and 9 * 2x
[tex]2^{18x} = 2^{18x}[/tex]
By comparing the exponents, we have:
18x = 18x
Divide both sides by 18x
1 = 1
Hence, the value of x in the equation is infinite
Read more about equation solutions at:
https://brainly.com/question/7784687
#SPJ4
Answer:
D) No Solution
Step-by-step explanation:
Which transformations take the graph of f(x) = e^x to the graph of g(x) = e^x+2 + 3 will mark Big brain
Transforming the function f(x) would change its formula to g(x)
The transformation of f(x) to g(x) are
Transform the function 2 units leftTransform the function 3 units upHow to determine the transformation?The function is given as:
f(x) = e^x
Shift the function 2 units left
f'(x) = e^x + 2
Shift the function 3 units up
f''(x) = e^x + 2 + 3
Rewrite as:
g(x) = e^x + 2 + 3
Hence, the transformation of f(x) to g(x) are (b) and (c)
Read more about transformation at:
https://brainly.com/question/4057530
PLS HELP - FREE BRAINLIEST: Suppose 4 < a < 5 and 2 < b < 4. Find all possible values of each expression for a-b
Answer:
For problem 1... For problem 2...
Here are the solutions for a. Here are the solutions for b.
[tex]\left[\begin{array}{ccc}5&6\\7&8&9\end{array}\right][/tex] [tex]\left[\begin{array}{ccc}3\\4&5&6\\7&8&9\end{array}\right][/tex]
There are only 5 to infinity solutions. Here, there are 7 to infinity.
What can we base off of these data sets?
We can create many more numerical comparisons, as well as ineqaulities.
Examples of those ineqaulities include...
7 < 8 > 59 = 9 > 46 < 3What have we learned?
We learned how to represent substituted values as numbers in inequalitites by using arrays.Answer:
a is 4.5, and b is 3.
Step-by-step explanation:
These numbers are the averages for the numbers shown.
4+5 = 9
9/2 = 4.5
2+4 = 6
6/2 = 3
That is how you can find the average of two numbers.
ABC is a right triangle. Find the length of AD.
A. 12 units
B. 2.83 units
C. 7 units
D. There is not enough information to determine the length of AD.
Answer: A
Step-by-step explanation:
