Answer: 26.5 feet
Step-by-step explanation:
At age 23, someone sets up an IRA (individual retirement account) with an APR of 7%. At the end of each month he deposits $75 in the account. How much will the IRA contain when he retires at age 65? Compare that amount to the total deposits made over the time period.
Answer:
The ira will contain $228,278.05 when he retires at age 65. This is 6.04 times the amount of money he deposited.
Step-by-step explanation:
In order to solve this problem, we can make use of the following formula:
[tex]FV=PMT[\frac{(1+i)^{n}-1}{i}][/tex]
Where:
FV= Future value of the ira
PMT= the amount of money you deposit each month
i= is the interest rate per period
n=number of periods
in this case we will assume the interest will be compounded each month.
So:
FV this is what we need to know.
PMT= $75 the amount he will deposit each month
t = 42 years,
this is 65-23=42
n=42 years * 12 months/year = 504 months
i=0.07/12
So we can now use the given formula:
[tex]FV=PMT[\frac{(1+i)^{n}-1}{i}][/tex]
[tex]FV=75[\frac{(1+\frac{0.07}{12})^{504}-1}{\frac{0.07}{12}}][/tex]
So we get:
FV=$228,278.05
which is the amount of money he will have after 42 years.
In total, he deposited:
$75*504months = $37,800
so he will have:
[tex]\frac{228,278.05}{37,800}=6.04[/tex] times the amount of money he deposited throughout this time.
2E5 in scientific notation
Answer:
200,000 (brainliest would be appreciated!)
Step-by-step explanation:
ASAP!!!!!!!!!!!!!!!
Answer:
A, or 33,439.99
Step-by-step explanation:
First, convert R as a percent to r as a decimal
r = R/100
r = 10/100
r = 0.1 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 15,600.00(1 + 0.1/1)(1)(8)
A = 15,600.00(1 + 0.1)(8)
A = $33,439.99
determine the equation of the line which has a graident 4 passing through (3,-2)
The graph of f(x) = 3 . 2*-3 is shown below. g(x) is a transformation of f(x).
How would you write the equation for the function g(x)?
Answer: (c)
Step-by-step explanation:
Given
Function [tex]f(x)[/tex] is [tex]3\times 2^x-3[/tex]
Also, [tex]g(x)[/tex] is the transformation of [tex]f(x)[/tex]
From the graph, it is clear that [tex]g(x)[/tex] passes through the point [tex](0,5)[/tex]
Now check the option which satisfies the condition
option (c) seems to obey it
[tex]g(x)=3\cdot 2^x+2\\g(0)=3\cdot 2^0+2\\g(0)=3\cdot 1+2\\g(0)=3+2\\g(0)=5[/tex]
Therefore, option (c) is correct.
help me please !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
?
Step-by-step explanation:
with what
Answer:
120
Step-by-step explanation:
I got 120 because the width of the diamonds are 30. (180 - 150)
We can make sure that is correct by checking all the other pyramids.
anyways, we have 30 60 90 120 150 for all our pyramids. So the answer is indeed
120
find the value of x. x³=8
Answer:
x = 2
Step-by-step explanation:
x^3 = 8
(2)^3 = 8
2 * 2 * 2 = 8
x = 2
Answer:
the value of x is 2
hope it helps
stay safe healthy and happy.EXIT TICKET QUESTION 2: Simplify the expression 6(2b - 3) - 10b
Answer:
2b-18
Step-by-step explanation:
First you would need to use the distributive property in 6(2b-3)-10b.
You would distribute the 6 and multiply it by the equation in the parenthesis, so the outcome of the equation would be (12b-18)-10b. Then you would combine like terms, so you would subtract 10b from 12b. Your final simplified equation would be 2b-18.
Jaime says that the value of -1 x n is always equal to the value of n = (-1) for all
values of n.
Explain whether Jaime is correct or incorrect.
How to find the height of the cylinder without volume
Yoko received a $70 gift card for a coffee store. She used it in buying some coffee that cost $8.62 per pound. After buying the coffee, she had $26.90 left on her
card. How many pounds of coffee did she buy?
Answer:
She bought 5 pounds of coffee.
Step-by-step explanation:
We are looking for how many pounds so pounds would be your x.
each pound costs $8.62.
You are taking the money she payed for the coffee away from the $70 she received.
Set up your equation
70 - 8.62x = 26.90
Solve for x
Subtract 70 from both sides 70-70 (Cancels out) - 8.62x= 26.90-70
-8.62x = -43.10
Divide -8.62 from each side. -8.62/-8.62(cancels out) x = -43.10/-8.62 (two negative numbers multiplied or divided by each other makes a positive)
x=5
What is the exact side length of a cube that
has a volume of 10 cubic units?
Answer:
[tex] {x}^{3} = 10 \\ x = \sqrt[3]{10} [/tex]
Answer:
2.1544 units
Step-by-step explanation:
This side length can be found by finding the third root of the cube:
side length = {10 units^3}^{1/3) = 2.1544 units
Note: as a check we can cube this result: 2.1544^3 = 10
Evaluate 2^5 divides 4^2
Please answer ASAP. 50 points. No files/doc
Just explanation and answer
Answer:
2
Step-by-step explanation:
2^5/4^2
32/4^2
32/16
2
please answer correctly. i will give brainliest!!
I'm pretty sure its just the last 3
Please solve with explanation
Answer:
a)x+69+73=180°{sum of angle of triangle}
142+x=180x=180-142x=38°b)
let, another a unknown side be 'p'
p=65°{alternate angle}
65+65+z=180°{sum of angle of triangle.}let ule
130+z=180
z=180-130
z=50°
y+z+65°=180°{straight angle}y+115=180°y=180-115y=65°z=x{alternate angle.}
x=50°
so, x=50°, y=65°, z=50°
c)z+19°=180°{straight angle}
z=180-19
z=161°
z=y{co_interior angle}y=161°d) 67+35+x=180°
x=180-102
x=78°
y+67=180°{straight angle}y=180-67y=113°35+z=180°{straight angle}z=180-35z=145°2)
3x+10+2x-5+x-5=180°{sum of angle of triangle}
6x=180°
x=180/6
x=30°
hope it helps.
write the slop -intercept form of rhe equation of the line passing through (-2-2) with slope -2/3
A trapezoid has of parallel sides
Answer:
True
Step-by-step explanation:
False. A trapezoid has one pair of parallel sides, not two pairs.
A trapezoid has only one pair of parallel sides.
The definition of a trapezoid states that it is a quadrilateral with exactly one pair of parallel sides.
The non-parallel sides of a trapezoid are called legs, and the parallel sides are referred to as the bases.
So, a trapezoid can have two pairs of sides that are parallel to each other, but only one of those pairs is considered as the bases.
To learn more on Trapezoid click:
https://brainly.com/question/32048079
#SPJ4
True or False: A trapezoid has two pairs of parallel sides. Explain your answer.
help 5 ratee????????????
image above!
question- What is the measure above?
A)90 degrees
B)45 degrees
C)135 degrees
D)115 degrees
Please please help me please!!!!!!! URGENT!!!!
Answer:
the answer is 25 so yeah hhhhh
the product of a number and two more than the number .. what is the expression?
Cos18degree=sin____degree
Answer: 72
Step-by-step explanation:
Cos 18 degrees = 0.951...
Sin -1 (0.951) = 72
So the answer is 72 degrees.
four time two times the number is as thrice more the number
Answer:
Equation = 4(2x) = 3x
Step-by-step explanation:
Form the equation
4(2x) = 3x
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
hallar el numero de intervalo de
33 - 11= 22
Answer:
22=22
Step-by-step explanation:
33-11
22
22=22
Greg and Justin went for a bike ride through a park. They started their ride near the pond at 2:47. They rode until they reached the soccer field 21 minutes later. What time was it when Greg and Justin reached the soccer field? 3:08 9:52 3:52 3:18 Submit
Answer: 3:08
Step-by-step explanation:
They started riding at 2:47 and reached the soccer field 21 minutes later.
The time they go to the field is therefore:
= 2:47 + 21 minutes
= 3:08
Adding time:
First find out the number of minutes needed to take 2:47 to 3:00:
= 60 minutes in an hour - 47
= 13 minutes
Then remove the 13 minutes from the 21 minutes of riding:
= 21 - 13
= 8 minutes
Add this 8 to 3:00:
= 3 + 8
= 3:08
How do you solve this? I really don't understand...
Answer:
MEAN 5.8 add all the points up then divide by the number of dots
MEDIAN 5 the middle of the data
MODE 5 most accruing one
RANGE 7 maximum minus minimum
A triangular prism has a height of 11 meters and a base with the following measurements. All dimensions are in meters. What is the value of B?
Answer:
The answer is 14 meters
Step-by-step explanation:
duhhhhhhhhhhhhhhh
Answer:
the answer is 7m2
Step-by-step explanation:
4/2 = 2
2* 3.5 = 7m2
I hope this will help you!!
Ill give brainliest - please help ASAP
WITH THE WORK THO PLEASE?
Answer:
Angles formed by intersecting chords are;<KLU=½(arc KL+arc UM)=½(165+65)=115°
2.
<EFG=½(arc EF+arc PD)
128=½(206+arc PD)
arc PD=128×2-206=50°
3.
<SQR=½(arc(SR+TU))=½(51+165)=108°
4/
<MkL=½(arc(LM+QN)
105×2=155+arc QN
arc QN=210-155=55°
Step-by-step explanation:
wjwhsheueii
Suppose that 21 inches of wire costs 84 cents.
At the same rate, how much in cents) will 47 inches of wire cost?
Answer:
44 cents
Step-by-step explanation:
First we need to find out how much per inch so do 84 divided by 21 which is 4 then get the closest to the number 47 which is 44 so 4x11=44 cents I'm not sure if it's right tho
FIND THE VOLUME ILL GIVE BRAINLIEST
1454.13 ( the 3 is infinite) mm^3
Step-by-step explanation:
1/3 × 13.3 × 16 × 20.5 = 1454.13 ( the 3 is infinite, I don't know how to put a line over a number on here)
I hope this helps, have a good day!