Mr. Jones has $410,000 in a retirement account that earns 3.85% simple interest each year. Find the amount of interest earned by this investment if it is in there for 5 years. *
Answer:
Amount of interest earned = $78,925
Step-by-step explanation:
Given:
Amount deposit = $410,000
Rate of interest = 3.85% = 0.0385
Number of year = 5 year
Find:
Amount of interest earned
Computation:
Using simple interest formula
Amount of interest earned = Amount deposit x Rate of interest x Number of year
Amount of interest earned = 410,000 x 0.0385 x 5
Amount of interest earned = $78,925
Write an inequality for the sentence below and then solve and check it. The sum of w and nine is less than 18
Answer:
w < 9
Step-by-step explanation:
w + 9 < 18
To solve this inequality, we MUST get the w by itself
Subtraction Property of Equality w + 9 - 9 < 18 - 9
Answer w < 9
4 x 5 - (2² - 2) =?
(18 ÷ 3) + (3² - 7) =?
An automobile manufacturer has discovered that 20% of all the transmissions it installed in a particular style of truck are defective after a year of use. It has contacted customers and asked them to return to their dealer after a year to have their transmission checked. The Friendly Auto Mart sold seven of these trucks and has two of the new transmissions in stock. What is the probability that they will need to order at least one more new transmission
Answer:
0.148 = 14.8% probability that they will need to order at least one more new transmission
Step-by-step explanation:
For each transmission, there are only two possible outcomes. Either it is defective after a year of use, or it is not. The probability of a transmission being defective is independent of any other transmission. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
20% of all the transmissions it installed in a particular style of truck are defective after a year of use.
This means that [tex]p = 0.2[/tex]
Sold seven trucks:
This means that [tex]n = 7[/tex]
It has two of the new transmissions in stock. What is the probability that they will need to order at least one more new transmission?
This is the probability that at least 3 are defective, that is:
[tex]P(X \geq 3) = 1 - P(X < 3)[/tex]
In which
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]
So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{7,0}.(0.2)^{0}.(0.8)^{7} = 0.2097[/tex]
[tex]P(X = 1) = C_{7,1}.(0.2)^{1}.(0.8)^{6} = 0.3670[/tex]
[tex]P(X = 2) = C_{7,2}.(0.2)^{2}.(0.8)^{5} = 0.2753[/tex]
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.2097 + 0.3670 + 0.2753 = 0.852[/tex]
[tex]P(X \geq 3) = 1 - P(X < 3) = 1 - 0.852 = 0.148[/tex]
0.148 = 14.8% probability that they will need to order at least one more new transmission
WHATS THE LENGTH ROUND TO THE NEAREST 10th if NEEDED
Answer: 8.6
Step-by-step explanation:
Using pythagorean theorem, c²=a²+b² you can find the distance between AB.
c²=7²+5²
c²=74
√c²=√74
c=8.6
⚠️URGENT PLEASEEEEE HELP!!!
Find the m
Answer
It is 112
Step-by-step explanation:
Name the song that goes with these lyrics
1. I was rocking off white tryna have a fun time she gone eat like lunch time molly got her on time
2. Im a first class baby u in last baby im a 90's baby but i cook that shi from the 80's
3. I know i have a purpose but ion see the purpose they tell me the death of me gone be the perkys i know the lace the ills i bought them on purpose lifes unreal when deaths uncertain
Answer:
1. I'll Be Fine - Juice Wrld
2. ON GOD - Juice Wrld
3. Rich and Blind - Juice Wrld
the winner of a raffle will receive a 21-foot outboard boat. if 2000 raffle tickets were sold and you purchased 50 tickets, what are the odds against your winning boat?
[4]
(b) Consider two spheres of radius R = 1 with a separation d
between their centres (see figure below). Use spherical
coordinates to compute the volume, V(d), of the intersection
as a function of d. Sketch the function V(d) and explain why
V(O) = n and V(2) = 0. (You can use the formula for the
volume of a cone without derivation.)
xy plane
Answer:
Follow Sammy Revv on Spotify and you'll get a 100% on your test
Step-by-step explanation:
Let g(x)=4x +9 and h(x)=x+2. Find the expression.
(h◦g)(x)
Carl went out for breakfast.
• The price of his meal was $12.35.
• The sales tax was 7.5% of the price of the meal.
• The tip was 25% of the price of the meal and the sales tax.
To the nearest cent, how much total money did Carl pay for breakfast including the price of his meal, sales tax, and tip?
Answer: $16.60
Step-by-step explanation:
Price + Tax = 12.35+0.93
Total + tip = 13.28+3.32
total: 16.60
The total money did Carl pay for breakfast including the price of his meal, sales tax, and tip $16.60
We have given that,
Carl went out for breakfast.
• The price of his meal was $12.35.
• The sales tax was 7.5% of the price of the meal.
• The tip was 25% of the price of the meal and the sales tax.
We have to determine the nearest cent, how much total money did Carl pay for breakfast including the price of his meal, sales tax, and tip.
What is the formula for the total money?Total money=price + tax
Price + Tax = 12.35+0.93
Total + tip = 13.28+3.32
Total money =16.60
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If A(x1, y1), B(x2, y2), (X3, Y3), and D(xx,ya) form two line segments, AB and CD, which condition needs to be met to prove AB ICD? ОА У4 -У, У, -у, - X4 - X X - X OB. 74-Y3 + X4-X = 0 V₂ - X, X - X, oc Yo-Yay 72-Y1--1 x - x x - X, OD. 12-y, *- X, = 1 x₂ - X, Yo-Y OE Y:-72. X.-X2-0 Y₂-X, X - X,
Answer:
The answer is option C..........
To prove that AB is parallel to CD, we need to show that the slope of AB is equal to the slope of CD.
What is line segment?A line segment is a section of a line with two endpoints. A line segment, unlike a line, has a fixed length.
To demonstrate that AB is parallel to CD, we must show that the slope of AB equals the slope of CD.
The slope of AB can be calculated using the formula:
mAB = (y2 - y1) / (x2 - x1)
Similarly, the slope of CD can be calculated using the formula:
mCD = (ya - Y3) / (xx - X3)
If mAB = mCD, then AB is parallel to CD.
Therefore, the condition that needs to be met to prove AB is parallel to CD is: (y2 - y1) / (x2 - x1) = (ya - Y3) / (xx - X3)
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Find the area of the trapezoid with bases 12 cm and 4 cm and height 1/6
cm.
use a long method division to calculate 145 413 by 321
Answer:
i dont know because you have not really explained it
Step-by-step explanation:
The quotient of the division of 145413 by 321 is 453.
What is Division?Division is one of the operation in mathematics where number is divideD into equal parts as that of a definite number.
We are using long division method here.
For that dividend is 145413 and divisor is 321.
First take the first some digits of dividend which is greater than 321.
That is the first four digits, 1454.
The multiple of 321 closest to 1454 is 1284 which is equal to 4 × 321
So the first digit of quotient is 4.
1454 - 1284 = 170
Now 170 is less than 321.
Add the next digit of the dividend to 170.
It becomes 1701.
Multiple of 321 closest to 1701 is 1605 which is equal to 5 × 321.
The next digit of the quotient is 5.
1701 - 1605 = 96
Again since 96 less than 321, take the next digit of the dividend and the number becomes 963.
Now 963 is a multiple of 321, where 963 = 3 × 321
So the next digit of the quotient is 3.
Quotient = 453
Hence the quotient of the given division is 453.
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PLEASE HELP................................!
Answer:
-6 and -4 only
Step-by-step explanation:
there are 12 eggs of the same weight on the scale. the total weght is 620g determine the total weight if the number of eggs is increased to 20
Answer:
1033.2 g or 1.033 kg
Step-by-step explanation:
(620/12)(20) = 1033.2 g
According to some sources, the African continent has about 170 million Internet users. According to the bar graph, which statement is true?
Africa has fewer users than the Middle East.
Africa has more users than Asia.
Africa has more users than Europe but fewer than Asia.
Africa has more users than the Middle East but fewer users than North America.
Answer:
D) Africa has more users than the Middle East but fewer users than North America.
Step-by-step explanation:
Hope it helps :)
HELP!!! Name the space figure you can form from the net.
help help please i did not understand
Answer:
The tree grows 3,14 centimeters per year
Answer: First you have to look at the years and see how much it increase each year. We start by seeing that in 1 year it is 3.14. In two years it will be 6.28. So, the answer each year the tree gets older it is 3.14 that you have to add. Hope it helps.
Step-by-step explanation:
Identify the volume of a regular triangular pyramid with base edge length 14 ft and height 9 ft.
Answer:
The volume is 588 ft³
Step-by-step explanation:
[tex]v = a {}^{2} \frac{h}{3} = 14 {}^{2} \times \frac{9}{3} = 588[/tex]
Answer:
254.6 ft3 F
Step-by-step explanation:
To find the volume of the pyramid, first calculate the area of the base.
As the pyramid is the regular triangular pyramid, the base is an equilateral triangle.
To find the area of the equilateral triangle, calculate the length of the height.
Since the triangle is equilateral, each angle in the triangle equals 60°.
The height forms a 30°- 60°- 90° triangle. One leg of this triangle is equal to half of the side of the large triangle, or 7 ft. The other leg of the triangle is equal to 73‾√ ft by the 30°- 60°- 90° Triangle Theorem.
Therefore, the length of the height of the triangle is 73‾√ ft.
To find the area of the base of the pyramid, B, use the formula for the area of a triangle, B=12bh.
Substitute 14 for b and 73‾√ for h.
B=12⋅14⋅73‾√
Simplify.
B=493‾√ ft2
To find the volume of the pyramid, use the formula for the volume of a pyramid, V=13Bh.
Substitute 493‾√ for B and 9 for h.
V=13⋅493‾√⋅9
Simplify.
V=1473‾√
Use a calculator to approximate.
V≈254.6 ft3
Therefore, the volume of the regular triangular pyramid is about 254.6 ft3.
If AD is the perpendicular bisector of EB, find each measure.
Answer:
look at the picture
Step-by-step explanation:
I'm not sure about the value of x but I believe it is -23
giving brainliest!! *easy*
Answer:
370 square millimeters
Step-by-step explanation:
2x9x5=90
2x10x5=100
2x10x9=180
90+100+180=370 square millimeters
Answer
450mm^3
Step-by-step explanation:
the picture has the workings
A=l×w×h
A=10mm×9mm×5mm
A=450mm^3
The test results for 4 students are: 96, 83, 78, and 83. If one more student's test score of 87 is added, what would increase?
A
median
B
mean
C
mode
D
range
Answer:
b
Step-by-step explanation:
A factory produces blue pens and black pens. Each week, 2/3 of the pens produced at the factory are black.
Write and solve an equation that can be used to determine the number of blue pens (x) produced at the factory in a week when 45,000 pens are produced.
Answer:
15,000
Step-by-step explanation:
1/3 times 45,000 = 15,00
The number of blue pens produced at the factory in a week when 45,000 pens are produced is 15,000.
What is an Equation?An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.
Given that,
A factory produces blue pens and black pens.
2/3 of the pens produced at the factory are black.
If T is the total pens produced at the factory, then the number of black pens produced is 2/3 T.
Number of blue pens = T - 2/3 T = 1/3 T
Given that,
Total pens produced = 45,000
Equation to find the number of blue pens is,
x = 1/3 × 45,000
Solving,
x = 15,000
Hence the number of blue pens produced is 15,000.
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the distance between two points is 9 and point one is located at (-2, 2), what could be the possible coordinates of point two?
(2, 9)
(7, 2)
(11, 2)
(2, 11) HELP NOW
NO LINKS PPLS I WILL GIVE THE CROWN THING ITS WORTH 50 points
The graph shows the distance traveled by an Olympic-level sprinter over time during a race.
Find the slope of the line, and complete the sentences below.
100 meter race graph of a diagonal line on a coordinate plane going up and to the right with Time in seconds on the x axis and Distance in meters on the y axis. The line begins at the origin and passes through the point 2 comma 20.
9514 1404 393
Answer:
slope: 10 m/srepresents speed in meters per secondStep-by-step explanation:
The slope is the change in the quantity on the vertical scale, divided by the corresponding change in the quantity on the horizontal scale.
Here, the line goes from 0 to 100 meters on the vertical scale, corresponding to a change from 0 to 10 seconds on the horizontal scale. So, the slope is ...
m = (100 m)/(10 s) = 10 m/s . . . . slope of the line
The ratio of distance to time is given the name "speed", so ...
the slope represents the sprinter's speed in meters per second.
Find the axis of symmetry of the parabola y=2x^2+4x-1
Answer:22
Step-by-step explanation:
Add
Multiply
Divide
name the angle in four ways. Then classify the angle as an acute, right, obtuse, or straight.
(Middle school) I’ll give brainliest
Answer:
150.72 units^3
Step-by-step explanation:
Formula: πr2h
3.14 x 4^2 x 3 = 150.72 units^3
A Store was trying to sell a bed set for $475. After a while, they marked the price tag down 35%. If tax is 5% (of the sale price), how much would the bed cost?