Answer:
Results are below.
Step-by-step explanation:
Giving the following information:
Principal= $450
Number of periods= 8 years
Interest rate= 6%
We will determine the interest earned and future value using simple interest and compound interest:
Simple interest:
I= P*r*t
I= 450*0.06*8= $216
Total Future Value= I + P
Total Future Value= 216 + 450= $666
Compound interest:
I= [P*(1+r)^t] - P
I= [450*(1.06^8)] - 450= $267.23
Total Future Value= P*(1+r)^t
Total Future Value= 450*1.06^8
Total Future Value= $717.23
Answer:
Step-by-step explanation:
6
Find the coefficient of correlation between and X and Y if covariance between X and Y is 15 and the variance of X and Y are respectively 10 and 25
Answer:
0.95
Step-by-step explanation:
[tex]Correlation \ coefficient \ (r) = \dfrac{covaraince \ between \ X \ and \ Y }{SD_X \times SD_Y }[/tex]
[tex]Correlation \ coefficient \ (r) = \dfrac{15 }{10^{1/2} \times 25^{1/2} }[/tex]
[tex]Correlation \ coefficient \ (r) = \dfrac{15 }{3.162 \times 5 }[/tex]
[tex]Correlation \ coefficient \ (r) = \dfrac{15 }{15.81 }[/tex]
[tex]Correlation \ coefficient \ (r) \simeq 0.95[/tex]
Which value is an output of the function?
O-6
O-2
O 4
O7
If an object on earth weighs 42 lbs, what is its weight on the moon?
Answer:
6.93 lbs.
Step-by-step explanation:
The weight on the moon is approximately 16.5% of what you would weigh on Earth. Using this information, we can say that 16.5% of 42 lbs would equal how much the object would weigh on the moon.
I prefer to convert percentages the decimal way, so let's do it that way. 16.5% is 0.165 as a decimal, so now all we have to do is multiply 0.165 by 42 (since we are saying 16.5% of 42 lbs), and we get 6.93 lbs.
Hope this helps! :)
use the function y=3/2x+3 to complete the table of values
Answer:
Please check the explanation.
Step-by-step explanation:
Given the function
Putting all the values of y=9, 6, 0, and -3 to complete the table
FOR y=9
putting y=9
switch sides
subtract 3 from both sides
Hence,
when y=9, x=4
FOR y=6
putting y=6
switch sides
subtract 3 from both sides
Hence,
when y=6, x=2
FOR y=0
putting y=0
switch sides
subtract 3 from both sides
Hence,
when y=0, x=-2
FOR y=-3
putting y=-3
switch sides
subtract 3 from both sides
Hence,
when y=-3, x=-4
Hence, the table becomes:
x y
9 4
6 2
0 -2
-3 -4
HOW DOES THE GRAPH OF F(X) = 4(X - 3)^2 + 1 DIFFER FROM THE GRAPH OF G(X) = 2 (X -3)^2 + 1. please explain so i can understand!! thxx
Answer:
6732FDX
Step-by-step explanation:
Use calculator
Hector invests $10,000 at age 21. He hopes the investments will be worth $150,000 when he turns 50. If the interest compounds continuously, approximately what rate of growth will he need to achieve his goal? Write your answer as a percentage rounded to one decimal place.
Answer:
9.33%
Step-by-step explanation:
Step one:
given
Principal= $10,000
Final amount = $150,000
time = 50-21= 29 years
Required
The rate
Step two:
to solve for the rate we can apply the formula for rate as
r = ln(A/P) /t
r= ln(150000/10000)/29
r= ln(15)/29
r=2.7080502011/29
r=0.0933
r= 0.0933*100
r= 9.33%
Natalie is a salesperson who sells computers at an electronics store. She makes a base pay amount each day and then is paid a commission as a percentage of the total dollar amount the company makes from her sales that day. Let P represent Natalie's total payments on a day on which she sells x dollars worth of computers. The table below has select values showing the linear relationship between x and P. Determine how many dollars worth of computers Natalie would have to sell in order to get paid $365 on a given day.
Answer:
9,500
Step-by-step explanation:
If BC = 3x, CD = 7x, and BD = 10, what is BC?
Answer:
BC= 3
Step-by-step explanation:
Suppose a line BD is 10 and it has a point C somewhere on the line. It is given that BC is 3times and CD is 7 times or algebraically if we take x as a variable then according to the given information
BC+ CD= BD
3x+ 7x= 10
10x= 10
x= 10/10
x= 1
3x would give 3 (1)= 3
Hence the Line BC = 3
and the line CD= 7
HELP NEED FAST!!!!!!
Which graph shows a negative slope and a positive y-intercept?
Answer:
the second one on the top right
Step-by-step explanation:
Answer:
The answer is C
Step-by-step explanation:
You can tell by where the line crosses the y-intercept as a positive, and the direction in which the line is going tells you it has a negative slope
Which table of ordered pairs represents a proportional relationship? PLEASE HELP MEEEE!!!!!!
20 POINTS I THINK
the answer is B
your welcome
Write an equation of the line with a slope of 3 and a y-intercept of -7.
Answer:
y=3x-7
Step-by-step explanation:
y=mx+b where m=slope and b=y-intercept
y=3x-7
Please help!!! Thank you!!!
Answer:
1. 180° ∑triangle angles=180°
2. 2x
3. 52°
Find the slope of a line that goes through the points (-5,8) and (-7,-5)
Answer:
[tex]m=\frac{13}{2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (-5, 8)
Point (-7, -5)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute [SF]: [tex]m=\frac{-5-8}{-7+5}[/tex]Subtract/Add: [tex]m=\frac{-13}{-2}[/tex]Simplify: [tex]m=\frac{13}{2}[/tex]Answer:
we will use the equation
(y2-y1)/ (x2-x1)
lets plug in our values
(-5-8)/(-7-(-5)
-13/-2
this answer is your slope value hope this helps
Step-by-step explanation:
33-(2c + 4) = 2(c + 7) +C
Answer:
c=3
Step-by-step explanation:
EF is the midsegment of trapezoid ABCD. Determine the value of x. 12.6 F E
The value of x is 5, the correct option is B
What is a Trapezoid?A quadrilateral with one side parallel to the other is a Trapezoid.
The midline in a trapezoid is parallel to its bases and the length is equal to half the sum of the bases.
In the figure attached the length of one of the parallel sides and the midline is given, the other base length has to be determined.
The length of AB = 12.6
The length of the midline EF = 8.8
The value of x =?
From the definition,
8.8 = (12.6 + x) /2
8.8 * 2 = 12.6 +x
x = 5
Therefore,the correct option is B.
To know more about Trapezoid
https://brainly.com/question/8643562
#SPJ2
There are 35 people who have
entered the sled race. If 60% of
them are over the age of 15, how
many participants are over 15?
PLEASE HELP ASAP THANK U!!!!
Answer:
3
Step-by-step explanation:
Bottles of sparkling water usually cost $1.69 each. This week they are on sale for 4 for $5 You bought one last week and one this week. Did you pay more or less for the bottle this week?
Given:
Usual cost of a bottle of sparkling water = $1.69 each
This week they are on sale for 4 for $5.
To find:
Did you pay more or less for the bottle this week?
Solution:
We have,
Usual cost of 1 bottle = $1.69
On sale, cost of 4 bottles = $5
On sale, cost of 1 bottles = [tex]\dfrac{\$5}{4}[/tex]
= $1.25
Since, $1.25 is less than $1.69, therefore the unit cost on sale is less than usual unit cost.
Hence, you pay less for the bottle this week.
Snare Drum
Backbeats
Bass Guitar
Notes
3
2
90
60
120
80
Part A. Are the two quantities proportional? Justify your answer.
Yes they because they have the same constant proportionality.
Part B. What is the constant of proportionality? *
0.77
Answer : what do i answer
Step-by-step explanation:
If the temperature outside increases by 3 1/2 degrees every 1 1/2 hours, by how much will the temperature increase after 4 hours?
please answer in fractions.
Part 1:
What is the rate per hour of the temperature increase?
Part 2:
How much will the temperature increase after 4 hours?
Answer:
Part 1: 7/3 degrees/hour
Part 2: 28/3 degrees
Step-by-step explanation:
Part 1:
3 1/2 degrees per 1 1/2 hours =
= (3 1/2)/(1 1/2)
= (7/2) / (3/2)
= 7/2 * 2/3
= 7/3 degrees/hour
The rate is 7/3 degree per hour
Part 2:
In 4 hours, the temperature goes up 4 times what it goes up in 1 hour.
4 hours * 7/3 degree/hour = 28/3 degrees
Which graph represents a relation that is also a function?
( look at the graph and help me pls )
1/2% of 412
with work
Answer:
1.5% x 412 = 618?
Step-by-step explanation:
Answer:
103/50
Step-by-step explanation:
Simplify
1/2
100
(412)
pls help with this problem.
Answer:
23 is the answer
Step-by-step explanation:
i holed this helped
Answer : -12
a = 4x
plug in the numbers for a and x
3 - 4(-5)
3-15
-12
Hope this helps!!!
The temperature fell from 0 Degrees Fahrenheit to 15 and one-half Degrees Fahrenheit below 0 in 5 and three-fourths hours. Wen tried to find the change in temperature per hour. Her work is shown below.
Negative 15 and one-half divided by 5 and three-fourths = negative StartFraction 31 over 2 EndFraction divided by StartFraction 23 over 4 EndFraction = negative StartFraction 31 over 2 EndFraction times StartFraction 23 over 4 EndFraction = Negative StartFraction 713 over 8 EndFraction
When she checked the answer by estimating, it did not make sense. What error did Wen make?
Answer:
-3 Farenheit change per hour
She didnt divide properly
Step-by-step explanation:
PLZ MARK BRAINLIEST.
Answer:
C
Step-by-step explanation:
David recorded the total number of miles he has driven in his car. He did not record data on day 5 or 8. The graph is shown below. using extrapolation estimate how many total miles he will have driven on day 5
A 115
B 102
C 80
D 130
Answer: 225
Step-by-step explanation:
xx squared - XY + x squared - xy
Answer and Step-by-step explanation:
[tex]x^{2} - xy + x^{2} -xy\\\\2x^{2} -2xy[/tex]
This is the answer.
In case your expression is:
[tex]x^2\:-\:xy\:+\:x^2\:-\:xy[/tex]
Solution:
Given the expression
[tex]x^2\:-\:xy\:+\:x^2\:-\:xy[/tex]
Group like terms
[tex]x^2\:-\:xy\:+\:x^2\:-\:xy=x^2+x^2-xy-xy[/tex]
Add similar elements: x²+x² = 2x²
[tex]=2x^2-xy-xy[/tex]
Add similar elements: -xy-xy = -2xy
[tex]=2x^2-2xy[/tex]
Thus,
[tex]x^2-xy+x^2-xy=2x^2-2xy[/tex]
In case your expression is:
[tex]\left(xx\right)^2\:-\:xy\:+\:x^2\:-\:xy[/tex]
Solution:
Given the expression
[tex]\left(xx\right)^2\:-\:xy\:+\:x^2\:-\:xy[/tex]
Group like terms
[tex]\left(xx\right)^2\:-\:xy\:+\:x^2\:-\:xy=x^2-xy-xy+\left(xx\right)^2[/tex]
Add similar elements: -xy-xy = -2xy
[tex]=x^2-2xy+\left(xx\right)^2[/tex]
as (xx)² = x⁴
so [tex]=x^2-2xy+x^4[/tex]
Therefore, we conclude that:
[tex]\left(xx\right)^2\:-\:xy\:+\:x^2\:-\:xy=x^2-2xy+x^4[/tex]Divide the polynomials.
25 points!!!!! right answer get's brainliest
Answer:
x - 2
Step-by-step explanation:
[tex] \frac{ {x}^{2} - 12x + 20}{x - 10} \\ \\ = \frac{ {x}^{2} - 10x - 2x + 20 }{x - 10} \\ \\ = \frac{x(x - 10) - 2(x - 10)}{(x - 10)} \\ \\ = \frac{(x - 10)(x - 2)}{(x - 10)} \\ \\ = x - 2[/tex]
GivenG(x)=4X+4Find G(4)
Answer:
g(4) = 20
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
g(x) = 4x + 4
g(4) is x = 4
Step 2: Evaluate
Substitute in x: g(4) = 4(4) + 4Multiply: g(4) = 16 + 4Add: g(4) = 20PLEASE HELP ME 15 POINTS ILL HIVE BRAINIEST
jacks mom purchased a savings bond for jack. the value of the savings bond increases by 5% each year. one year after it was purchased, the value of the savings bond was $210. find the value of the bond when jacks mom purchased it.
Answer:
209.95
Step-by-step explanation:
free paints and brianliest
Marry christmas guys
Answer:
Yo
Merry Christmas and have a great day onwards
and thank you ❤
Answer:
thanks a lot friend!!!
Step-by-step explanation:
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